Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder...

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Effects of fiscal credibility on inflation expectations: evidence from an emerging economy JUAN CAMILOANZOÁTEGUI-ZAPATA, MSc* JUAN CAMILO GALVIS-CIRO, Ph.D.* Article** JEL: E37, E62, E61 https://doi.org/10.3326/pse.45.1.4 * The authors would like to thank two anonymous referees for helpful comments on earlier versions of this paper. Any remaining errors are the sole responsibility of the authors. ** Received: July 16, 2020 Accepted: November 10, 2020 Juan Camilo ANZOÁTEGUI-ZAPATA Universidad Autónoma Latinoamericana, Department of Economics, Carrera 55A No. 49-51, Medellín, Colombia e-mail: [email protected] ORCiD: 0000-0003-0588-1364 Juan Camilo GALVIS-CIRO Universidad Pontificia Bolivariana, Department of Economics, Circular 1 No. 70-01, Medellin, Colombia e-mail: [email protected] ORCiD: 0000-0001-6680-275X

Transcript of Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder...

Page 1: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

Effectsoffiscal credibilityoninflationexpectationsevidencefromanemerging economy

JUANCAMILOANZOAacuteTEGUI-ZAPATAMScJUANCAMILOGALVIS-CIROPhD

ArticleJELE37E62E61httpsdoiorg103326pse4514

TheauthorswouldliketothanktwoanonymousrefereesforhelpfulcommentsonearlierversionsofthispaperAnyremainingerrorsarethesoleresponsibilityoftheauthors

ReceivedJuly162020 AcceptedNovember102020

JuanCamiloANZOAacuteTEGUI-ZAPATAUniversidadAutoacutenomaLatinoamericanaDepartmentofEconomicsCarrera55ANo49-51MedelliacutenColombiae-mailjuananzoateguiunaulaeducoORCiD0000-0003-0588-1364

JuanCamiloGALVIS-CIROUniversidadPontificiaBolivarianaDepartmentofEconomicsCircular1No70-01MedellinColombiae-mailjcgalviscirogmailcomORCiD0000-0001-6680-275X

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45 (1) 125-148 (2021)

126 AbstractThis paper analyses the impact of fiscal imbalances on expectations for an emerg-ing economy with inflation targeting In particular based on the Colombian expe-rience we build a fiscal credibility index and evaluate its impact on inflation expectations for the 2004-2019 period To analyse fiscal and monetary interac-tions we propose an econometric model and use the OLS and GMM methods The results show that the loss of fiscal credibility associated with divergences between the fiscal deficit and agentsrsquo expectations can increase inflation expectations by between 9 and 12 Furthermore inflation expectations in Colombia incorpo-rate important macroeconomic information related to unemployment GDP and exchange rates

Keywords inflation expectations fiscal policy credibility

1 INTRODUCTIONTheanchoringfactors for inflationexpectationsareessential forfine-tuninganeconomicpolicyframework(MankiwReisandWolfers2003)Ininflationtar-geting expectations aremonitored by central banks because agents set pricesaccordingto their inflationforecastingTheseexpectationsaffect the long-termstructureoftheinterestratetheplannedexpenditureandthereforeinflationcon-trol(Blinderetal2008)AccordingtotheseminalcontributionsofSargentandWallace(1981)afiscalpolicystanceisrelevantforcontrollinginflationexpecta-tionsInthisregardifthepublicexpectsthatthefiscalpositionisunsustainableinflationexpectationswillnotbe lowBasedon this relativeconsensus ineco-nomic theory there is a growing and dynamic literature on the interactionsbetweenfiscalandmonetarypoliciesinemergingeconomies

PromptedbySargentandWallace(1981)somestudieshavesoughttoanalysetheempiricalandtheoreticalrelationshipbetweenfiscalvariablesandinflationexpec-tationsineconomieswithinflationtargetsFirstCataoandTerrones(2003)findthatdeficitGDPratiodownturnsproduceasignificantreductionininflationwithmore effects in countrieswith high and persistent inflationA similar result isreportedbydeMendonccedilaandMachado(2013)CelasunGelosandPrati(2004)aswell as deMendonccedila andTostes (2015) note that fiscal balance recoveriesreduceinflationexpectationsandobservedinflationOtherstudiessuchasCeri-solaandGelos(2009)suggestthattheinflationtargetpastinflationandthepri-mary fiscal balance can anchor inflation expectations in emerging economiesNonetheless Celasun Gelos and Prati (2004) provide empirical evidence thatinflationexpectationshavebackward-lookingcomponentsdespiteinflationtargetannouncementsSimilarresultsarereportedbyAraujoandGaglianone(2010)andGaglianone (2017)whohighlight that inflation expectations showpersistenceOtherperspectivesforexampleBerlemannandElzemann(2006)findthatinfla-tionexpectationsaredrivenbypresidential election results and theprobabilitythatleftistpartieswillcometopower

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45 (1) 125-148 (2021)127Withcentralbankindependencetheuseoftheinflationtaxtoachievefiscalbal-

ancedecreases(MineaandTapsoba2014)Inflationtargetingadoptionleadstoagovernmentcommitmenttofiscalsustainabilitywhichallowsinflationexpecta-tionstobeanchoredinthecentralbankrsquostargets(seeforexampleCerisolaandGelos 2009)With this perspective being borne inmind the objective of thispaper isempiricalandconsistsofexamining theeffectsoffiscalcredibilityoninflationexpectationsintheColombianeconomy

ColombiaisasmallemergingeconomyinLatinAmericathathasmadeimportanteffortstoachievebettereconomicstabilitythroughacoherentandprudentpolicyIntheColombiancasethegovernmentadoptedtheinflationtargetingattheendof1999Since2000theCentralBankofColombiahasimproveditscommunicationwithmarketsbyinformingthemaboutinflationtargetsandmonetarypolicyman-agement(HamannHofstetterandUrrutia2014)Since2003thecentralbankhasimplementedsophisticatedmethodologiestomonitorinflationexpectationsfiscaldeficit expectations and expected economic growth In the fiscal managementstrandthegovernmentestablishedadecreasinggoalforthefiscaldeficit tocon-vincemarketsaboutfiscalbalance sustainabilityAsa result aftermore than10yearstheColombianeconomyrecovereditsinvestmentgrade(Moodyrsquos2014)InsumColombiaisaninterestingeconomiclaboratoryinwhichtoanalysetheinter-actionsbetweenmonetaryandfiscalpolicy(CiroanddeMendonccedila2017)

ThispaperoffersanewperspectiveontheproblemoffiscaleffectsoninflationexpectationsFirstweusecentralbankexpectationssurveysandbuildafiscalcredibilityindexbasedonoverallfiscaldeficitexpectationsSecondweanalysethelong-termrelationshipsthatmayexistbetweenfiscalcredibilityandinflationexpectationsbasedonacointegrationmodelThirdweverifywhether for theformationofinflationexpectationsagentsconsidertheavailablepublicinforma-tionaboutmacroeconomicvariablesFinallythisstudypresentsacontributiontotheunderstandingoftheeffectsoffiscalcredibilityoninflationexpectationsintheColombiancaseTheresultsshowthatthelossoffiscalcredibilitywhichisasso-ciatedwithdivergencesbetween thefiscaldeficitandagentsrsquoexpectationscanincreaseinflationexpectationsbybetween9and12FurthermorethisstudyshowsthatinflationexpectationspresentinertiaandreacttoGDPandtheexchangerateTheevidencealsoindicatesthatthe2008subprimecrisisincreasedinflationexpectationsinColombia

Theremainderofthispaperisorganizedasfollowssection2presentsaliteraturereviewsection3presentsthemethodologyformeasuringfiscalcredibilitysec-tion4providesempiricalevidencebymeansofeconometricanalysisonthefis-calcredibilityeffectoninflationexpectationsandsection5concludesthepaper

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45 (1) 125-148 (2021)

128 2 FISCAL CREDIBILITY AND INFLATION TARGETINGTheinflationtargetingframeworkrequiresahighdegreeofcoordinationbetweenthecentralbankandfiscalpolicyInfactforthepolicyframeworktobecredibletherecannotbepermanentfiscaldeficitsthatleadtofiscaldominanceandpublicdebtmonetization(MishkinandSavastano2001AllsoppandVines2005DeMendonccedila2007)Theabsenceoffiscaldominanceisarequirementforinflationtargeting(MishkinandSavastano2001)For this institutionsarenecessary toensurethebankrsquosindependenceandthegovernmentrsquoscommitmentstofiscalbal-ance(Wyplosz2005)

AccordingtoGuumlrkaynakLevinandSwanson(2010)andStrohsalMelnickandNautz(2016)long-terminflationexpectationsshouldnotrespondtomacroeco-nomicinformationwhenthereiseconomicpolicycredibilityInLatinAmericafiscal imbalancesareaproblemandcastdoubtonmonetarypolicycredibilityFiscalbalanceisthusanindicatorthatmustbecarefullymonitoredtoensurethecredibility of the inflation targets (Minea andTapsoba 2014)One strategy toresolvethisproblemresortstotheimpositionoffiscalresponsibilitylaws(DebrunHaunerandKumar2009LinandYe2009deMendonccedilaanddaSilva2016)Followinguponthisideaseveralstudieshaveanalysedtheeffectoffiscaltargetsorrulesoninflation

Onestrandoftheliteraturehasfocusedonmeasuringtheeffectsoffiscalcredibilityinemergingeconomiesunder inflation targetingThis literaturefocusesonfiscalcredibilityindicestoidentifytheireffectsonmacroeconomicvariablesInthecaseofBraziltherearefiscalcredibilityindicesonthedeficitandpublicdebtTheresultsofthesestudiesshowthatfiscalcredibilityhelpstoanchorinflationexpectationsreducesinflationarypressuresandexchangeratepass-throughoninflationlowersdisagreement infiscal expectations and stabilizesmarket interest rates (deMen-donccedilaandTostes2015deMendonccedilaanddaSilva2016MontesandAcar2018)AccordingtodeMendonccedilaandMachado(2013)anincreaseinfiscalcredibilityhelpsfixedratebondstobeissuedFurthermorecredibilityreducesthepublicdebtindexed tomarket interest ratesAlong this same line the studybyMontes andSouza(2020)suggeststhatgreaterfiscalcredibilityreducessovereignrisk

OtherstudieshavefoundsimilarresultswithoutusingcredibilityindicesThorn-tonandVasilakis(2019)usingasampleof61low-andmiddle-incomecountriesfindthatcountriesthatadoptedtransparentfiscalrulesincreasedtheirfiscalcred-ibilityMoreoverinthecaseofIndonesiaKunkoro(2015)showsthatrulesforthefiscaldeficitareadevicetoobtainfiscalcredibilityFurthermorecredibilityreduces deficit volatility and contributes to price stabilityA similar result isreportedforthecaseofJapanAccordingtoShirakawa(2012)whenthegovern-mentlosescredibilityregardingdebtsustainabilityinflationincreasesboostinginterest ratesand increasingdefaultprobabilitiesSimilarly for thecaseof theCzechRepublicKlyuevandSnudden (2011)demonstrate that public expecta-tionsaboutthegovernmentrsquoscommitmentstofiscalconsolidationcanimproveits

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45 (1) 125-148 (2021)129credibilityAccordingtotheirresultsfiscalcredibilityhelpshighertaxincomes

andlowermarketinterestratestobeachieved

OtherempiricalstudiesmeasurecredibilitythroughfinancialmarketsrsquoreactionsInparticularKandilandMorsy(2014)proposethatfiscalcredibilitycanbemeasuredbytheconfidencethatmarketsshowinfiscalstimuliAccordingtotheirresultsfis-calstimulibackedbyinternationalreservesgenerategreatercredibilityandincreasethe impact of stimuli related to public spending In addition credible marketannouncementshelpreducethecostsassociatedwithloansanddebtservice

21 THE COLOMBIAN CASETheBankoftheRepublicthecentralbankofColombiaemergedin1923asanissuetransferdepositanddiscountbankandisthehighestmonetaryexchangeandcreditauthorityinColombiaThebankfunctionedasadevelopmentbankfortheeconomicgrowthofColombiabetween1930and1980Inthoseyearscoffeegrowers industrialists merchants and other agents had representation on theboard of directors In this period the Colombian economy exhibited averageannualinflationratesof20

Theindependenceofthecentralbankwasachievedin1991withthereformofthepolitical constitution ofColombiaAt that time the reform created a board ofdirectorsforthebankmadeupofsevenmembersthegeneralmanagerarepre-sentativeofthegovernmentwhoistheMinisterofFinanceandPublicCreditandfivefull-timemembersAsapositivesignofindependencebetweenmonetaryandfiscalpolicytodatetheBoardofDirectorshasneverapprovedloanstothegov-ernmenttofinancethefiscaldeficit

In2000theCentralBankofColombiaadoptedaninflationtargetingregimeandinflationrateshaveaveraged5peryearInflationtargetingwasadoptedasamon-etarypolicyresponsetoanchorinflationexpectationsandincreasefiscalrestrictions(Goacutemez2006Loacutepez-EncisoVargas-HerreraandRodriacuteguez-Nintildeo2016)Tosup-portthecentralbanksince2004theColombiangovernmenthashaddebtcontrolsandamedium-termfiscalframeworkthatprovidesinformationaboutfiscalplansInadditionin2012theColombiangovernmentadoptedafiscalruletoprogressivelyreducethefiscaldeficitTheobjectiveofthisruleistoachieveaprimaryfiscaldefi-citof less than1ofGDPfrom2022 (Loacutepez-EncisoVargas-HerreraandRod-riacuteguez-Nintildeo2016)Toachieve these targets thegovernmenthascarriedout taxreformstoreducethefiscaldeficitDespiteallthesefiscalcommitmentsreformshavebeenpartialwithanaverageofonetaxreformeverytwoyearsAsaresultfiscalimbalanceshavenotbeenresolvedandfiscalcredibilityislow

3 METHODOLOGYFiscalpolicyhaseffectsonmacroeconomicstabilityandmustbemanagedinaliableandcoherentmanner(FataacutesandMihov2003)Fiscalcredibilityisanassetfor governments and indicates that agents believe that fiscal targets will beachievedandthatasustainablefiscalpositionwillbemaintained(HaunerJonaacuteš

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45 (1) 125-148 (2021)

130 and Kumar 2007) In particular fiscal credibility is relevant to policymakersbecauseitcanhelpguidethemarketinawaythatavoidsrisinginflationexpecta-tions(deMendonccedilaandMachado2013)

Itisimportanttonotethatinthecaseofemergingeconomiesfiscaldeficitscon-stantlyputthefulfilmentofthecentralbankrsquosobjectivesatriskAsaresultinfla-tion expectation control is affected by fiscal credibility (Cerisola and Geros2009)Thispaperevaluatestheeffectsoffiscalcredibilityoninflationexpecta-tionsforthecaseoftheColombianeconomybasedoncentralbankexpectationssurveysThesesurveysaverage40participantsamongprivatebanksstockbro-kers pension funds academics and international organizations In the presentstudyinflationexpectationsarecalculatedas1-year-aheadinflationforecastsoftheparticipantssurveyedThisinformationisavailabletothepublicthroughitscentralbanktimeseriesstatisticssystemDrawingontheinformationavailablewepresenttheinflationexpectationsforthe2004-2019periodinfigure1

Figure 1Inflation expectations in the Colombian economy (in )

Inflation expectations Trend (HP filter)

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Source Authoracutes elaboration Data from the Central Bank of Colombia Trend calculated with the Hodrick-Prescott filter

Inflationexpectationsdeclinedbetween2004and2013towardsthecentralbankrsquoslong-terminflationtargetwhichwassetat3Thisprocesswaspartiallyinter-ruptedbythesubprimecrisisof2007-2008Since2014therehasbeenanincreaseininflationexpectationsduetothegreatdifficultyofcontrollingsomeunexpectedeventssuchasastrongdevaluationintheexchangerateandsomeinternalcrisescausedbyinternalpoliticalproblemsrelatedtomonetarypolicy

Thereareseveralchallengesinmeasuringfiscalcredibilitybecausethegovern-mentrsquosbudgetconstraintinvolvesseveralvariablesAccordingtodeMendonccedilaandMachado(2013)fiscalcredibilitycanbeevaluatedbypublicconfidenceinrelationto thegovernmentrsquosability toavoidtheriskofdefaultMoreover it ispossible to affirm that there is fiscal credibility when there is a government

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45 (1) 125-148 (2021)131commitmenttothesustainabilityofpublicfinancesAsaresultthereiscredibility

whenthegovernmentdoesnotusetheinflationtaxtofulfilitsobligations(HaunerJonasandKumar2007DebrunandKinda2017)

TomakecredibilitymeasurablethereareseveralproposalsAccordingtoDrazenandMasson(1994)credibilitycanbemeasuredbyagentsrsquoexpectationsregardingthefiscalresultsAnotherapproachisofferedbyNaert(2011)whopostulatesthatfiscalpolicyiscredibleifthereislittledifferencebetweenthecurrentlevelandtheprojectedlevelofsomefiscalmeasureThechallengeistodefinesomemeasureoffiscalperformanceonwhichagentsformexpectationsandmakeprojectionsBasedonDebrunandKinda(2017)fiscalperformancecanbemeasuredbytheoverallfiscaldeficitthatisbythedifferencebetweenexpendituresdebtserviceandtaxesHence

DEFt=Gt + rDtndash1ndashTt (1)

whereDEFtistheoverallfiscaldeficitGtisthepublicexpenditurerDtndash1isthepublicdebtinterestandTtisthetaxrevenuesAllthevariablesaredefinedasapercentageofthegrossdomesticproduct(GDP)

Anessentialpointregardingthecredibilityofeconomicpolicyispublicexpecta-tionAccordingtoCukiermanandMeltzer(1986)credibilitycanbemeasuredastheabsolutevalueofthedifferencebetweenthepolicymakerrsquosplansandthepub-licrsquosbeliefsaboutthoseplansMoreoverashighlightedbyFaustandSvensson(2001)credibilityisnegativelyrelatedtothedistancebetweenagentsrsquoexpecta-tions and the achievements of the policymaker FollowingHauner Jonas andKumar(2007)fiscalcredibilitycanbeapproximatedbythedifferencebetweenagentsrsquoexpectationsofthefiscaldeficit(E(DEFt))andthefiscaldeficitachievedbythegovernment(DEFt)Inotherwordsthegreaterthedifferencebetweentheobservedfiscaldeficitandagentsrsquoexpectationsthelessfiscalcredibilitythereisbecausethereisnoconvergenceinagentsrsquobeliefs

Fromthatperspectivethispaperusesacredibilitylossindicator(CRED_LOSS) that considers thedifferencesbetween theagentsrsquo expectationsabout thefiscaldeficitandtheoverallfiscaldeficitobserved(asanabsolutevalue)

CRED_LOSSt =|E(DEFt)ndashDEFt| (2)

whereE(DEF)isagentsrsquoexpectationsabouttheoverallfiscaldeficitandDEF is theoverallfiscaldeficitobservedThebehaviourofbothvariablesovertimeispresentedinfigure2TheagentsrsquoexpectationsregardingtheoverallfiscaldeficitareextractedfromthesurveyoftheCentralBankofColombiacalledldquoMacroeco-nomicProjectionsofLocalandForeignAnalystsˮInthissurveythecentralbankasksbrokerscommercialbankspension fundsacademic institutesand ratingagencies about the quarterly forecast of several macroeconomic variables

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45 (1) 125-148 (2021)

132 includingtheoverallfiscaldeficitThequarterlydataareavailablefrom2004(seeappendixtableA1)

The behaviour of both variables (DEF and E(DEF)) over time is presented infigure2belowItisobservedthatfrom2004to2008expectationsunderestimatedthe observedfiscal deficitThen since the endof 2008 expectations began togrowandwerelocatedclosetothefiscaldeficitsurpassingitin2010Between2010and2011thegovernmentadoptedafiscalruleontheprimaryfiscaldeficitandfromthenonexpectationsbegantofallFrom2012to2016therehasbeenanincreaseintheobservedfiscaldeficitandconsequentlyinexpectationsThisincreaseinvariablespeakedin2016Sincethentherehasbeenadropinboththeobserveddeficitandtheexpectations

Figure 2Fiscal deficit expectations and overall fiscal deficit observed in Colombia (in of GDP)

Overal fiscal deficit observed Fiscal deficit expectations

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Figure3showstheperformanceoffiscalcredibilityloss(CRED LOSS)from2004to2019inColombiaTheCRED LOSSindicatorshowsthattherewasuncertaintyaboutfiscalpolicyinthe2006-2008periodAsaresultfiscalcredibilitylosswashighinthatperiodOnceexpectationsbegantoapproachtheobserveddeficitthelossofcredibilityeasedandreachedalowof014in2011Q1AfterthiswebegantoobserveanunstablebehaviourofcredibilitylossDespitethisthetrendoftheseriesshowsthatthelossofcredibilitywasstablebetween2012and2019Forthefullperiod(2004-2019)thecredibilitylosswas09onaverage

SincetheseminalcontributionofKydlandandPrescott(1977)economictheoryhas assumed that an agents expectationsdependon thegovernmentrsquos crediblecommitmenttoanannouncedtargetInotherwordstheexpectedpathofthefiscaldeficitmattersfortheformationofinflationexpectationsInparticularwhenthereisnocommitmenttofiscalequilibriumgovernmentliabilitiesareensuredwithseigniorageandtheoutcomeisanincreaseinexpectedinflation(SargentandWal-lace1981)

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45 (1) 125-148 (2021)133Figure 3

Fiscal credibility loss in Colombia case (in )

CRED_LOSS Trend (HP Filter)

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Source Authors elaboration Data from the Central Bank of Colombia

Credibility is theabilityofpolicymakers to inspireconfidenceand itcanhelpformexpectationsAccordingtoMishkin(2007)inflationtargetinginanenviron-mentof lowfiscalcredibilitycausesdifficulties inmanaging inflationexpecta-tionsandimpactstheeffectivenessofmonetarypolicyHencethebaselinemodelconsideredinourempiricalanalysisisasfollows

E(πt) =β1 + β2CRED_LOSSt +α3Xt + εt (3)

whereE(πt) is the annualized inflation expectationsCRED_LOSSt is thefiscalpolicycredibilitylossXtisavectorofexplanatoryvariablesandεtistheresidualterm

To observe an initial empirical relationship between inflation expectations andfiscalcredibilitylossascatterplotforbothvariablesispresentedinfigure4ThetheoreticalintuitionofapositiverelationshipbetweenbothvariablesisconfirmedThusabetterprojectionofthefiscaldeficitcanleadtoareductionininflationexpectations

Itisimportanttoverifywhetherthepublicinformationavailableonmacroeco-nomicandfinancialvariablesistakenintoconsiderationbytheagentsForthisitis useful touse themost recent data for inflation forecasts (MankiwReis andWolfers2003)Financialmarketvolatilityaffectstheperformanceofemergingeconomiesandindirectly theformationofexpectations(KennedyandPalerm2014)FortheColombiancasetheinternationaleconomyoutlookcausesvolatil-ityincapitalflowsandthebalanceofpaymentsthatcanimpactinflationexpecta-tionsThereforeweusebehaviouroftheSampP500stockmarketindex(VIXt-1)asourfirstexplanatoryvariableforinflationexpectations

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134 Figure 4Inflation expectations and fiscal credibility loss in Colombia

CRED_LOSS (in )

Infla

tion

expe

ctat

ions

(in

)

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Source Authors elaboration Data from the Central Bank of Colombia

Expectationsdependonpastinformationandeachagentinterpretstheavailableinformationinadifferentway(Roberts1997)Infacttheincreaseininflationexpectations can be attributed tobackward-looking behaviour (Dornbusch andFischer1993)Thereforepast inflation(πt-1) isusedas thesecondexplanatoryvariable

Inemergingeconomiesmovementsintheexchangerateimpactmarginalcostsandinflationforecasts(CelasunGelosandPrati2004)InparticulartheColom-bianeconomyhas an importantpass-throughof the exchange rate todomesticinflationthroughitscosteffectsThusasthethirdexplanatoryvariablethepastexchangerate(et-1)isused

AccordingtotheNeo-KeynesianPhillipsCurvemodelinflationexpectationsarerelatedtotheprofitmark-upovercostsThesemark-upchangesareafunctionofthe economic cycle (Woodford 2003) Thus we useGDP (yt-1) as the fourthexplanatoryvariableforinflationexpectations

OnthebasisofOkunrsquoslawitispossibletoestablisharelationshipbetweenoutputandthelabourmarketAccordinglyasanalternativemeasureoftheeconomythepast unemployment rate is used as the fifth explanatory variable for inflationexpectations(Ut-1)

Inshorttoanalysetheeffectoffiscalcredibilityoninflationexpectationsweusedanexplanatoryvariableassociatedwithexternalrisk(VIXt-1)twomeasuresasso-ciatedwithpastprices(πt-1 et-1)andtwomeasuresassociatedwitheconomicper-formance (yt-1 Ut-1)Thepast inflationexpectationsarealso incorporatedasanexplanatoryvariable(E(πt-1)) tocapturesomeinertiainexpectationsAdummyvariable (Dt) is also added to capture the possible effect of the 2007-2008

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45 (1) 125-148 (2021)135subprimecrisisThisdummytakesavalueof1fortheyear20081Thusthepos-

siblecombinationsofthesevariablesallowustopostulatethefollowingmodels

E(πt) =α0 + α1 E(πtndash1) + α2CRED_LOSSt +α3VIXtndash1 + α4πtndash1 + α5ytndash1 + α6Dt+ εt 0(4)

E(πt) =α7 + α8 E(πtndash1) + α9CRED_LOSSt +α10VIXtndash1 + α11etndash1 + α12ytndash1 + α13Dt+ εt 1(5)

E(πt) =α14 + α15 E(πtndash1) + α16CRED_LOSSt +α17VIXtndash1 + α18πtndash1 + α19Utndash1 + α20Dt+ εt 2 (6)

E(πt) =α21 + α22 E(πtndash1) + α23CRED_LOSSt +α24VIXtndash1 + α25etndash1 + α26Utndash1 + α27Dt+ εt 3(7)

Additionallyweestimatethefullmodelwithallthevariables

E(πt) =α28 + α29 E(πtndash1) + α30CRED_LOSSt +α31VIXtndash1 + α32πtndash1 + α33ytndash1 + α34etndash1 + α35Utndash1 + α36Dt+ εt

4 (8)

Theperiodunderconsideration is from2004-1 to2019-4 (quarterlydata)ThechoiceoftheperiodisduetodataavailabilityforthefiscaldeficitexpectedwhicharenecessarytobuildthecredibilityindexSeetableA1(appendix)forthesourcesofdataanddescriptionsofallvariablesusedinthestudy

4 EMPIRICAL EVIDENCEAsinpreviousliteraturetheuseoftimeseriesdatainestimationsentailsverify-ingwhetherunitrootsexistThereforebeforecarryingouttheestimationsofallmodelstheincreasedDickey-Fullerunitroottest(ADF)thePhillips-Perrontest(PP) and theKwiatkowski-Phillips-Schmidt-Shin (KPSS) stationarity testwereperformedTheresultsarepresentedintableA3(appendix)Basedontheresultsoftheteststhevariablestobeusedinequations(4)-(8)areI(1) andhavethesameorderofintegration

AccordingtoEngleandGranger(1981)itispossibletoestimatethemodelspro-posedifthereisastationarycombinationintheseriesCointegrationtestswereperformedfortheproposedmodelThechoiceofVARlagandtheinclusionofthedeterministiccomponentsofthecointegrationvectorwasmadeonthebasisoftheSchwarz criterion (Harris 1995)The cointegration test proposed by Johansen(1991)basedonthesignificanceoftheestimatedeigenvaluesindicatestheexist-enceofacointegrationvectorinthemodels(seetableA3appendix)Thusthemodelswere estimatedwith the series in levelswithout problems of spuriousregressions

1BesidethepresentedmodelswealsoestimatedmodelswithoutputgapreplacingGDPaswellasbyinclud-ingmorelagsofinflationTheobtainedresultswerenotstatisticallysignificantandareavailableuponrequest

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

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45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

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45 (1) 125-148 (2021)

144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

35KlyuevVandSnuddenS2011EffectsoffiscalconsolidationintheCzechRepublicCzech Journal of Economics and Finance 61(4) pp 306-326httpsdoiorg1050899781455228058001

36KuncoroH2015DoestheCredibleFiscalPolicySupportthePricesStabi-lizationReview of Economic Perspectives 15(2)pp137-156httpsdoi101515revecp-2015-0014

37KydlandFandPrescottE1977RulesRatherthanDiscretiontheIncon-sistencyofOptimalPlansJournal of Political Economy85(3)pp473-492httpsdoi101086260580

38LinSandYeH2009Doesinflationtargetingmakeadifferenceindevel-oping countries Journal of Development Economics 89(1) pp 118-123httpsdoiorg101016jjdeveco200804006

39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

45MontesGandSouzaI2020SovereigndefaultriskdebtuncertaintyandfiscalcredibilityThecaseofBrazilThe North American Journal of Econom-ics and Finance51(C)pp1-26httpsdoiorg101016jnajef201809009

46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

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45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 2: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)

126 AbstractThis paper analyses the impact of fiscal imbalances on expectations for an emerg-ing economy with inflation targeting In particular based on the Colombian expe-rience we build a fiscal credibility index and evaluate its impact on inflation expectations for the 2004-2019 period To analyse fiscal and monetary interac-tions we propose an econometric model and use the OLS and GMM methods The results show that the loss of fiscal credibility associated with divergences between the fiscal deficit and agentsrsquo expectations can increase inflation expectations by between 9 and 12 Furthermore inflation expectations in Colombia incorpo-rate important macroeconomic information related to unemployment GDP and exchange rates

Keywords inflation expectations fiscal policy credibility

1 INTRODUCTIONTheanchoringfactors for inflationexpectationsareessential forfine-tuninganeconomicpolicyframework(MankiwReisandWolfers2003)Ininflationtar-geting expectations aremonitored by central banks because agents set pricesaccordingto their inflationforecastingTheseexpectationsaffect the long-termstructureoftheinterestratetheplannedexpenditureandthereforeinflationcon-trol(Blinderetal2008)AccordingtotheseminalcontributionsofSargentandWallace(1981)afiscalpolicystanceisrelevantforcontrollinginflationexpecta-tionsInthisregardifthepublicexpectsthatthefiscalpositionisunsustainableinflationexpectationswillnotbe lowBasedon this relativeconsensus ineco-nomic theory there is a growing and dynamic literature on the interactionsbetweenfiscalandmonetarypoliciesinemergingeconomies

PromptedbySargentandWallace(1981)somestudieshavesoughttoanalysetheempiricalandtheoreticalrelationshipbetweenfiscalvariablesandinflationexpec-tationsineconomieswithinflationtargetsFirstCataoandTerrones(2003)findthatdeficitGDPratiodownturnsproduceasignificantreductionininflationwithmore effects in countrieswith high and persistent inflationA similar result isreportedbydeMendonccedilaandMachado(2013)CelasunGelosandPrati(2004)aswell as deMendonccedila andTostes (2015) note that fiscal balance recoveriesreduceinflationexpectationsandobservedinflationOtherstudiessuchasCeri-solaandGelos(2009)suggestthattheinflationtargetpastinflationandthepri-mary fiscal balance can anchor inflation expectations in emerging economiesNonetheless Celasun Gelos and Prati (2004) provide empirical evidence thatinflationexpectationshavebackward-lookingcomponentsdespiteinflationtargetannouncementsSimilarresultsarereportedbyAraujoandGaglianone(2010)andGaglianone (2017)whohighlight that inflation expectations showpersistenceOtherperspectivesforexampleBerlemannandElzemann(2006)findthatinfla-tionexpectationsaredrivenbypresidential election results and theprobabilitythatleftistpartieswillcometopower

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45 (1) 125-148 (2021)127Withcentralbankindependencetheuseoftheinflationtaxtoachievefiscalbal-

ancedecreases(MineaandTapsoba2014)Inflationtargetingadoptionleadstoagovernmentcommitmenttofiscalsustainabilitywhichallowsinflationexpecta-tionstobeanchoredinthecentralbankrsquostargets(seeforexampleCerisolaandGelos 2009)With this perspective being borne inmind the objective of thispaper isempiricalandconsistsofexamining theeffectsoffiscalcredibilityoninflationexpectationsintheColombianeconomy

ColombiaisasmallemergingeconomyinLatinAmericathathasmadeimportanteffortstoachievebettereconomicstabilitythroughacoherentandprudentpolicyIntheColombiancasethegovernmentadoptedtheinflationtargetingattheendof1999Since2000theCentralBankofColombiahasimproveditscommunicationwithmarketsbyinformingthemaboutinflationtargetsandmonetarypolicyman-agement(HamannHofstetterandUrrutia2014)Since2003thecentralbankhasimplementedsophisticatedmethodologiestomonitorinflationexpectationsfiscaldeficit expectations and expected economic growth In the fiscal managementstrandthegovernmentestablishedadecreasinggoalforthefiscaldeficit tocon-vincemarketsaboutfiscalbalance sustainabilityAsa result aftermore than10yearstheColombianeconomyrecovereditsinvestmentgrade(Moodyrsquos2014)InsumColombiaisaninterestingeconomiclaboratoryinwhichtoanalysetheinter-actionsbetweenmonetaryandfiscalpolicy(CiroanddeMendonccedila2017)

ThispaperoffersanewperspectiveontheproblemoffiscaleffectsoninflationexpectationsFirstweusecentralbankexpectationssurveysandbuildafiscalcredibilityindexbasedonoverallfiscaldeficitexpectationsSecondweanalysethelong-termrelationshipsthatmayexistbetweenfiscalcredibilityandinflationexpectationsbasedonacointegrationmodelThirdweverifywhether for theformationofinflationexpectationsagentsconsidertheavailablepublicinforma-tionaboutmacroeconomicvariablesFinallythisstudypresentsacontributiontotheunderstandingoftheeffectsoffiscalcredibilityoninflationexpectationsintheColombiancaseTheresultsshowthatthelossoffiscalcredibilitywhichisasso-ciatedwithdivergencesbetween thefiscaldeficitandagentsrsquoexpectationscanincreaseinflationexpectationsbybetween9and12FurthermorethisstudyshowsthatinflationexpectationspresentinertiaandreacttoGDPandtheexchangerateTheevidencealsoindicatesthatthe2008subprimecrisisincreasedinflationexpectationsinColombia

Theremainderofthispaperisorganizedasfollowssection2presentsaliteraturereviewsection3presentsthemethodologyformeasuringfiscalcredibilitysec-tion4providesempiricalevidencebymeansofeconometricanalysisonthefis-calcredibilityeffectoninflationexpectationsandsection5concludesthepaper

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45 (1) 125-148 (2021)

128 2 FISCAL CREDIBILITY AND INFLATION TARGETINGTheinflationtargetingframeworkrequiresahighdegreeofcoordinationbetweenthecentralbankandfiscalpolicyInfactforthepolicyframeworktobecredibletherecannotbepermanentfiscaldeficitsthatleadtofiscaldominanceandpublicdebtmonetization(MishkinandSavastano2001AllsoppandVines2005DeMendonccedila2007)Theabsenceoffiscaldominanceisarequirementforinflationtargeting(MishkinandSavastano2001)For this institutionsarenecessary toensurethebankrsquosindependenceandthegovernmentrsquoscommitmentstofiscalbal-ance(Wyplosz2005)

AccordingtoGuumlrkaynakLevinandSwanson(2010)andStrohsalMelnickandNautz(2016)long-terminflationexpectationsshouldnotrespondtomacroeco-nomicinformationwhenthereiseconomicpolicycredibilityInLatinAmericafiscal imbalancesareaproblemandcastdoubtonmonetarypolicycredibilityFiscalbalanceisthusanindicatorthatmustbecarefullymonitoredtoensurethecredibility of the inflation targets (Minea andTapsoba 2014)One strategy toresolvethisproblemresortstotheimpositionoffiscalresponsibilitylaws(DebrunHaunerandKumar2009LinandYe2009deMendonccedilaanddaSilva2016)Followinguponthisideaseveralstudieshaveanalysedtheeffectoffiscaltargetsorrulesoninflation

Onestrandoftheliteraturehasfocusedonmeasuringtheeffectsoffiscalcredibilityinemergingeconomiesunder inflation targetingThis literaturefocusesonfiscalcredibilityindicestoidentifytheireffectsonmacroeconomicvariablesInthecaseofBraziltherearefiscalcredibilityindicesonthedeficitandpublicdebtTheresultsofthesestudiesshowthatfiscalcredibilityhelpstoanchorinflationexpectationsreducesinflationarypressuresandexchangeratepass-throughoninflationlowersdisagreement infiscal expectations and stabilizesmarket interest rates (deMen-donccedilaandTostes2015deMendonccedilaanddaSilva2016MontesandAcar2018)AccordingtodeMendonccedilaandMachado(2013)anincreaseinfiscalcredibilityhelpsfixedratebondstobeissuedFurthermorecredibilityreducesthepublicdebtindexed tomarket interest ratesAlong this same line the studybyMontes andSouza(2020)suggeststhatgreaterfiscalcredibilityreducessovereignrisk

OtherstudieshavefoundsimilarresultswithoutusingcredibilityindicesThorn-tonandVasilakis(2019)usingasampleof61low-andmiddle-incomecountriesfindthatcountriesthatadoptedtransparentfiscalrulesincreasedtheirfiscalcred-ibilityMoreoverinthecaseofIndonesiaKunkoro(2015)showsthatrulesforthefiscaldeficitareadevicetoobtainfiscalcredibilityFurthermorecredibilityreduces deficit volatility and contributes to price stabilityA similar result isreportedforthecaseofJapanAccordingtoShirakawa(2012)whenthegovern-mentlosescredibilityregardingdebtsustainabilityinflationincreasesboostinginterest ratesand increasingdefaultprobabilitiesSimilarly for thecaseof theCzechRepublicKlyuevandSnudden (2011)demonstrate that public expecta-tionsaboutthegovernmentrsquoscommitmentstofiscalconsolidationcanimproveits

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45 (1) 125-148 (2021)129credibilityAccordingtotheirresultsfiscalcredibilityhelpshighertaxincomes

andlowermarketinterestratestobeachieved

OtherempiricalstudiesmeasurecredibilitythroughfinancialmarketsrsquoreactionsInparticularKandilandMorsy(2014)proposethatfiscalcredibilitycanbemeasuredbytheconfidencethatmarketsshowinfiscalstimuliAccordingtotheirresultsfis-calstimulibackedbyinternationalreservesgenerategreatercredibilityandincreasethe impact of stimuli related to public spending In addition credible marketannouncementshelpreducethecostsassociatedwithloansanddebtservice

21 THE COLOMBIAN CASETheBankoftheRepublicthecentralbankofColombiaemergedin1923asanissuetransferdepositanddiscountbankandisthehighestmonetaryexchangeandcreditauthorityinColombiaThebankfunctionedasadevelopmentbankfortheeconomicgrowthofColombiabetween1930and1980Inthoseyearscoffeegrowers industrialists merchants and other agents had representation on theboard of directors In this period the Colombian economy exhibited averageannualinflationratesof20

Theindependenceofthecentralbankwasachievedin1991withthereformofthepolitical constitution ofColombiaAt that time the reform created a board ofdirectorsforthebankmadeupofsevenmembersthegeneralmanagerarepre-sentativeofthegovernmentwhoistheMinisterofFinanceandPublicCreditandfivefull-timemembersAsapositivesignofindependencebetweenmonetaryandfiscalpolicytodatetheBoardofDirectorshasneverapprovedloanstothegov-ernmenttofinancethefiscaldeficit

In2000theCentralBankofColombiaadoptedaninflationtargetingregimeandinflationrateshaveaveraged5peryearInflationtargetingwasadoptedasamon-etarypolicyresponsetoanchorinflationexpectationsandincreasefiscalrestrictions(Goacutemez2006Loacutepez-EncisoVargas-HerreraandRodriacuteguez-Nintildeo2016)Tosup-portthecentralbanksince2004theColombiangovernmenthashaddebtcontrolsandamedium-termfiscalframeworkthatprovidesinformationaboutfiscalplansInadditionin2012theColombiangovernmentadoptedafiscalruletoprogressivelyreducethefiscaldeficitTheobjectiveofthisruleistoachieveaprimaryfiscaldefi-citof less than1ofGDPfrom2022 (Loacutepez-EncisoVargas-HerreraandRod-riacuteguez-Nintildeo2016)Toachieve these targets thegovernmenthascarriedout taxreformstoreducethefiscaldeficitDespiteallthesefiscalcommitmentsreformshavebeenpartialwithanaverageofonetaxreformeverytwoyearsAsaresultfiscalimbalanceshavenotbeenresolvedandfiscalcredibilityislow

3 METHODOLOGYFiscalpolicyhaseffectsonmacroeconomicstabilityandmustbemanagedinaliableandcoherentmanner(FataacutesandMihov2003)Fiscalcredibilityisanassetfor governments and indicates that agents believe that fiscal targets will beachievedandthatasustainablefiscalpositionwillbemaintained(HaunerJonaacuteš

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45 (1) 125-148 (2021)

130 and Kumar 2007) In particular fiscal credibility is relevant to policymakersbecauseitcanhelpguidethemarketinawaythatavoidsrisinginflationexpecta-tions(deMendonccedilaandMachado2013)

Itisimportanttonotethatinthecaseofemergingeconomiesfiscaldeficitscon-stantlyputthefulfilmentofthecentralbankrsquosobjectivesatriskAsaresultinfla-tion expectation control is affected by fiscal credibility (Cerisola and Geros2009)Thispaperevaluatestheeffectsoffiscalcredibilityoninflationexpecta-tionsforthecaseoftheColombianeconomybasedoncentralbankexpectationssurveysThesesurveysaverage40participantsamongprivatebanksstockbro-kers pension funds academics and international organizations In the presentstudyinflationexpectationsarecalculatedas1-year-aheadinflationforecastsoftheparticipantssurveyedThisinformationisavailabletothepublicthroughitscentralbanktimeseriesstatisticssystemDrawingontheinformationavailablewepresenttheinflationexpectationsforthe2004-2019periodinfigure1

Figure 1Inflation expectations in the Colombian economy (in )

Inflation expectations Trend (HP filter)

25

30

35

40

45

50

55

60

2004 2005 2007 2009 2011 2013 2015 20172006 2008 2010 2012 2014 2016

Source Authoracutes elaboration Data from the Central Bank of Colombia Trend calculated with the Hodrick-Prescott filter

Inflationexpectationsdeclinedbetween2004and2013towardsthecentralbankrsquoslong-terminflationtargetwhichwassetat3Thisprocesswaspartiallyinter-ruptedbythesubprimecrisisof2007-2008Since2014therehasbeenanincreaseininflationexpectationsduetothegreatdifficultyofcontrollingsomeunexpectedeventssuchasastrongdevaluationintheexchangerateandsomeinternalcrisescausedbyinternalpoliticalproblemsrelatedtomonetarypolicy

Thereareseveralchallengesinmeasuringfiscalcredibilitybecausethegovern-mentrsquosbudgetconstraintinvolvesseveralvariablesAccordingtodeMendonccedilaandMachado(2013)fiscalcredibilitycanbeevaluatedbypublicconfidenceinrelationto thegovernmentrsquosability toavoidtheriskofdefaultMoreover it ispossible to affirm that there is fiscal credibility when there is a government

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45 (1) 125-148 (2021)131commitmenttothesustainabilityofpublicfinancesAsaresultthereiscredibility

whenthegovernmentdoesnotusetheinflationtaxtofulfilitsobligations(HaunerJonasandKumar2007DebrunandKinda2017)

TomakecredibilitymeasurablethereareseveralproposalsAccordingtoDrazenandMasson(1994)credibilitycanbemeasuredbyagentsrsquoexpectationsregardingthefiscalresultsAnotherapproachisofferedbyNaert(2011)whopostulatesthatfiscalpolicyiscredibleifthereislittledifferencebetweenthecurrentlevelandtheprojectedlevelofsomefiscalmeasureThechallengeistodefinesomemeasureoffiscalperformanceonwhichagentsformexpectationsandmakeprojectionsBasedonDebrunandKinda(2017)fiscalperformancecanbemeasuredbytheoverallfiscaldeficitthatisbythedifferencebetweenexpendituresdebtserviceandtaxesHence

DEFt=Gt + rDtndash1ndashTt (1)

whereDEFtistheoverallfiscaldeficitGtisthepublicexpenditurerDtndash1isthepublicdebtinterestandTtisthetaxrevenuesAllthevariablesaredefinedasapercentageofthegrossdomesticproduct(GDP)

Anessentialpointregardingthecredibilityofeconomicpolicyispublicexpecta-tionAccordingtoCukiermanandMeltzer(1986)credibilitycanbemeasuredastheabsolutevalueofthedifferencebetweenthepolicymakerrsquosplansandthepub-licrsquosbeliefsaboutthoseplansMoreoverashighlightedbyFaustandSvensson(2001)credibilityisnegativelyrelatedtothedistancebetweenagentsrsquoexpecta-tions and the achievements of the policymaker FollowingHauner Jonas andKumar(2007)fiscalcredibilitycanbeapproximatedbythedifferencebetweenagentsrsquoexpectationsofthefiscaldeficit(E(DEFt))andthefiscaldeficitachievedbythegovernment(DEFt)Inotherwordsthegreaterthedifferencebetweentheobservedfiscaldeficitandagentsrsquoexpectationsthelessfiscalcredibilitythereisbecausethereisnoconvergenceinagentsrsquobeliefs

Fromthatperspectivethispaperusesacredibilitylossindicator(CRED_LOSS) that considers thedifferencesbetween theagentsrsquo expectationsabout thefiscaldeficitandtheoverallfiscaldeficitobserved(asanabsolutevalue)

CRED_LOSSt =|E(DEFt)ndashDEFt| (2)

whereE(DEF)isagentsrsquoexpectationsabouttheoverallfiscaldeficitandDEF is theoverallfiscaldeficitobservedThebehaviourofbothvariablesovertimeispresentedinfigure2TheagentsrsquoexpectationsregardingtheoverallfiscaldeficitareextractedfromthesurveyoftheCentralBankofColombiacalledldquoMacroeco-nomicProjectionsofLocalandForeignAnalystsˮInthissurveythecentralbankasksbrokerscommercialbankspension fundsacademic institutesand ratingagencies about the quarterly forecast of several macroeconomic variables

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45 (1) 125-148 (2021)

132 includingtheoverallfiscaldeficitThequarterlydataareavailablefrom2004(seeappendixtableA1)

The behaviour of both variables (DEF and E(DEF)) over time is presented infigure2belowItisobservedthatfrom2004to2008expectationsunderestimatedthe observedfiscal deficitThen since the endof 2008 expectations began togrowandwerelocatedclosetothefiscaldeficitsurpassingitin2010Between2010and2011thegovernmentadoptedafiscalruleontheprimaryfiscaldeficitandfromthenonexpectationsbegantofallFrom2012to2016therehasbeenanincreaseintheobservedfiscaldeficitandconsequentlyinexpectationsThisincreaseinvariablespeakedin2016Sincethentherehasbeenadropinboththeobserveddeficitandtheexpectations

Figure 2Fiscal deficit expectations and overall fiscal deficit observed in Colombia (in of GDP)

Overal fiscal deficit observed Fiscal deficit expectations

0

100

200

300

400

500

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authoracutes elaboration Data from the Central Bank of Colombia

Figure3showstheperformanceoffiscalcredibilityloss(CRED LOSS)from2004to2019inColombiaTheCRED LOSSindicatorshowsthattherewasuncertaintyaboutfiscalpolicyinthe2006-2008periodAsaresultfiscalcredibilitylosswashighinthatperiodOnceexpectationsbegantoapproachtheobserveddeficitthelossofcredibilityeasedandreachedalowof014in2011Q1AfterthiswebegantoobserveanunstablebehaviourofcredibilitylossDespitethisthetrendoftheseriesshowsthatthelossofcredibilitywasstablebetween2012and2019Forthefullperiod(2004-2019)thecredibilitylosswas09onaverage

SincetheseminalcontributionofKydlandandPrescott(1977)economictheoryhas assumed that an agents expectationsdependon thegovernmentrsquos crediblecommitmenttoanannouncedtargetInotherwordstheexpectedpathofthefiscaldeficitmattersfortheformationofinflationexpectationsInparticularwhenthereisnocommitmenttofiscalequilibriumgovernmentliabilitiesareensuredwithseigniorageandtheoutcomeisanincreaseinexpectedinflation(SargentandWal-lace1981)

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45 (1) 125-148 (2021)133Figure 3

Fiscal credibility loss in Colombia case (in )

CRED_LOSS Trend (HP Filter)

00

04

08

12

16

20

24

28

32

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authors elaboration Data from the Central Bank of Colombia

Credibility is theabilityofpolicymakers to inspireconfidenceand itcanhelpformexpectationsAccordingtoMishkin(2007)inflationtargetinginanenviron-mentof lowfiscalcredibilitycausesdifficulties inmanaging inflationexpecta-tionsandimpactstheeffectivenessofmonetarypolicyHencethebaselinemodelconsideredinourempiricalanalysisisasfollows

E(πt) =β1 + β2CRED_LOSSt +α3Xt + εt (3)

whereE(πt) is the annualized inflation expectationsCRED_LOSSt is thefiscalpolicycredibilitylossXtisavectorofexplanatoryvariablesandεtistheresidualterm

To observe an initial empirical relationship between inflation expectations andfiscalcredibilitylossascatterplotforbothvariablesispresentedinfigure4ThetheoreticalintuitionofapositiverelationshipbetweenbothvariablesisconfirmedThusabetterprojectionofthefiscaldeficitcanleadtoareductionininflationexpectations

Itisimportanttoverifywhetherthepublicinformationavailableonmacroeco-nomicandfinancialvariablesistakenintoconsiderationbytheagentsForthisitis useful touse themost recent data for inflation forecasts (MankiwReis andWolfers2003)Financialmarketvolatilityaffectstheperformanceofemergingeconomiesandindirectly theformationofexpectations(KennedyandPalerm2014)FortheColombiancasetheinternationaleconomyoutlookcausesvolatil-ityincapitalflowsandthebalanceofpaymentsthatcanimpactinflationexpecta-tionsThereforeweusebehaviouroftheSampP500stockmarketindex(VIXt-1)asourfirstexplanatoryvariableforinflationexpectations

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45 (1) 125-148 (2021)

134 Figure 4Inflation expectations and fiscal credibility loss in Colombia

CRED_LOSS (in )

Infla

tion

expe

ctat

ions

(in

)

25

30

35

40

45

50

55

60

00 04 08 12 16 20 24 28 32

Source Authors elaboration Data from the Central Bank of Colombia

Expectationsdependonpastinformationandeachagentinterpretstheavailableinformationinadifferentway(Roberts1997)Infacttheincreaseininflationexpectations can be attributed tobackward-looking behaviour (Dornbusch andFischer1993)Thereforepast inflation(πt-1) isusedas thesecondexplanatoryvariable

Inemergingeconomiesmovementsintheexchangerateimpactmarginalcostsandinflationforecasts(CelasunGelosandPrati2004)InparticulartheColom-bianeconomyhas an importantpass-throughof the exchange rate todomesticinflationthroughitscosteffectsThusasthethirdexplanatoryvariablethepastexchangerate(et-1)isused

AccordingtotheNeo-KeynesianPhillipsCurvemodelinflationexpectationsarerelatedtotheprofitmark-upovercostsThesemark-upchangesareafunctionofthe economic cycle (Woodford 2003) Thus we useGDP (yt-1) as the fourthexplanatoryvariableforinflationexpectations

OnthebasisofOkunrsquoslawitispossibletoestablisharelationshipbetweenoutputandthelabourmarketAccordinglyasanalternativemeasureoftheeconomythepast unemployment rate is used as the fifth explanatory variable for inflationexpectations(Ut-1)

Inshorttoanalysetheeffectoffiscalcredibilityoninflationexpectationsweusedanexplanatoryvariableassociatedwithexternalrisk(VIXt-1)twomeasuresasso-ciatedwithpastprices(πt-1 et-1)andtwomeasuresassociatedwitheconomicper-formance (yt-1 Ut-1)Thepast inflationexpectationsarealso incorporatedasanexplanatoryvariable(E(πt-1)) tocapturesomeinertiainexpectationsAdummyvariable (Dt) is also added to capture the possible effect of the 2007-2008

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45 (1) 125-148 (2021)135subprimecrisisThisdummytakesavalueof1fortheyear20081Thusthepos-

siblecombinationsofthesevariablesallowustopostulatethefollowingmodels

E(πt) =α0 + α1 E(πtndash1) + α2CRED_LOSSt +α3VIXtndash1 + α4πtndash1 + α5ytndash1 + α6Dt+ εt 0(4)

E(πt) =α7 + α8 E(πtndash1) + α9CRED_LOSSt +α10VIXtndash1 + α11etndash1 + α12ytndash1 + α13Dt+ εt 1(5)

E(πt) =α14 + α15 E(πtndash1) + α16CRED_LOSSt +α17VIXtndash1 + α18πtndash1 + α19Utndash1 + α20Dt+ εt 2 (6)

E(πt) =α21 + α22 E(πtndash1) + α23CRED_LOSSt +α24VIXtndash1 + α25etndash1 + α26Utndash1 + α27Dt+ εt 3(7)

Additionallyweestimatethefullmodelwithallthevariables

E(πt) =α28 + α29 E(πtndash1) + α30CRED_LOSSt +α31VIXtndash1 + α32πtndash1 + α33ytndash1 + α34etndash1 + α35Utndash1 + α36Dt+ εt

4 (8)

Theperiodunderconsideration is from2004-1 to2019-4 (quarterlydata)ThechoiceoftheperiodisduetodataavailabilityforthefiscaldeficitexpectedwhicharenecessarytobuildthecredibilityindexSeetableA1(appendix)forthesourcesofdataanddescriptionsofallvariablesusedinthestudy

4 EMPIRICAL EVIDENCEAsinpreviousliteraturetheuseoftimeseriesdatainestimationsentailsverify-ingwhetherunitrootsexistThereforebeforecarryingouttheestimationsofallmodelstheincreasedDickey-Fullerunitroottest(ADF)thePhillips-Perrontest(PP) and theKwiatkowski-Phillips-Schmidt-Shin (KPSS) stationarity testwereperformedTheresultsarepresentedintableA3(appendix)Basedontheresultsoftheteststhevariablestobeusedinequations(4)-(8)areI(1) andhavethesameorderofintegration

AccordingtoEngleandGranger(1981)itispossibletoestimatethemodelspro-posedifthereisastationarycombinationintheseriesCointegrationtestswereperformedfortheproposedmodelThechoiceofVARlagandtheinclusionofthedeterministiccomponentsofthecointegrationvectorwasmadeonthebasisoftheSchwarz criterion (Harris 1995)The cointegration test proposed by Johansen(1991)basedonthesignificanceoftheestimatedeigenvaluesindicatestheexist-enceofacointegrationvectorinthemodels(seetableA3appendix)Thusthemodelswere estimatedwith the series in levelswithout problems of spuriousregressions

1BesidethepresentedmodelswealsoestimatedmodelswithoutputgapreplacingGDPaswellasbyinclud-ingmorelagsofinflationTheobtainedresultswerenotstatisticallysignificantandareavailableuponrequest

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

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EXPEC

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45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

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55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 3: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)127Withcentralbankindependencetheuseoftheinflationtaxtoachievefiscalbal-

ancedecreases(MineaandTapsoba2014)Inflationtargetingadoptionleadstoagovernmentcommitmenttofiscalsustainabilitywhichallowsinflationexpecta-tionstobeanchoredinthecentralbankrsquostargets(seeforexampleCerisolaandGelos 2009)With this perspective being borne inmind the objective of thispaper isempiricalandconsistsofexamining theeffectsoffiscalcredibilityoninflationexpectationsintheColombianeconomy

ColombiaisasmallemergingeconomyinLatinAmericathathasmadeimportanteffortstoachievebettereconomicstabilitythroughacoherentandprudentpolicyIntheColombiancasethegovernmentadoptedtheinflationtargetingattheendof1999Since2000theCentralBankofColombiahasimproveditscommunicationwithmarketsbyinformingthemaboutinflationtargetsandmonetarypolicyman-agement(HamannHofstetterandUrrutia2014)Since2003thecentralbankhasimplementedsophisticatedmethodologiestomonitorinflationexpectationsfiscaldeficit expectations and expected economic growth In the fiscal managementstrandthegovernmentestablishedadecreasinggoalforthefiscaldeficit tocon-vincemarketsaboutfiscalbalance sustainabilityAsa result aftermore than10yearstheColombianeconomyrecovereditsinvestmentgrade(Moodyrsquos2014)InsumColombiaisaninterestingeconomiclaboratoryinwhichtoanalysetheinter-actionsbetweenmonetaryandfiscalpolicy(CiroanddeMendonccedila2017)

ThispaperoffersanewperspectiveontheproblemoffiscaleffectsoninflationexpectationsFirstweusecentralbankexpectationssurveysandbuildafiscalcredibilityindexbasedonoverallfiscaldeficitexpectationsSecondweanalysethelong-termrelationshipsthatmayexistbetweenfiscalcredibilityandinflationexpectationsbasedonacointegrationmodelThirdweverifywhether for theformationofinflationexpectationsagentsconsidertheavailablepublicinforma-tionaboutmacroeconomicvariablesFinallythisstudypresentsacontributiontotheunderstandingoftheeffectsoffiscalcredibilityoninflationexpectationsintheColombiancaseTheresultsshowthatthelossoffiscalcredibilitywhichisasso-ciatedwithdivergencesbetween thefiscaldeficitandagentsrsquoexpectationscanincreaseinflationexpectationsbybetween9and12FurthermorethisstudyshowsthatinflationexpectationspresentinertiaandreacttoGDPandtheexchangerateTheevidencealsoindicatesthatthe2008subprimecrisisincreasedinflationexpectationsinColombia

Theremainderofthispaperisorganizedasfollowssection2presentsaliteraturereviewsection3presentsthemethodologyformeasuringfiscalcredibilitysec-tion4providesempiricalevidencebymeansofeconometricanalysisonthefis-calcredibilityeffectoninflationexpectationsandsection5concludesthepaper

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45 (1) 125-148 (2021)

128 2 FISCAL CREDIBILITY AND INFLATION TARGETINGTheinflationtargetingframeworkrequiresahighdegreeofcoordinationbetweenthecentralbankandfiscalpolicyInfactforthepolicyframeworktobecredibletherecannotbepermanentfiscaldeficitsthatleadtofiscaldominanceandpublicdebtmonetization(MishkinandSavastano2001AllsoppandVines2005DeMendonccedila2007)Theabsenceoffiscaldominanceisarequirementforinflationtargeting(MishkinandSavastano2001)For this institutionsarenecessary toensurethebankrsquosindependenceandthegovernmentrsquoscommitmentstofiscalbal-ance(Wyplosz2005)

AccordingtoGuumlrkaynakLevinandSwanson(2010)andStrohsalMelnickandNautz(2016)long-terminflationexpectationsshouldnotrespondtomacroeco-nomicinformationwhenthereiseconomicpolicycredibilityInLatinAmericafiscal imbalancesareaproblemandcastdoubtonmonetarypolicycredibilityFiscalbalanceisthusanindicatorthatmustbecarefullymonitoredtoensurethecredibility of the inflation targets (Minea andTapsoba 2014)One strategy toresolvethisproblemresortstotheimpositionoffiscalresponsibilitylaws(DebrunHaunerandKumar2009LinandYe2009deMendonccedilaanddaSilva2016)Followinguponthisideaseveralstudieshaveanalysedtheeffectoffiscaltargetsorrulesoninflation

Onestrandoftheliteraturehasfocusedonmeasuringtheeffectsoffiscalcredibilityinemergingeconomiesunder inflation targetingThis literaturefocusesonfiscalcredibilityindicestoidentifytheireffectsonmacroeconomicvariablesInthecaseofBraziltherearefiscalcredibilityindicesonthedeficitandpublicdebtTheresultsofthesestudiesshowthatfiscalcredibilityhelpstoanchorinflationexpectationsreducesinflationarypressuresandexchangeratepass-throughoninflationlowersdisagreement infiscal expectations and stabilizesmarket interest rates (deMen-donccedilaandTostes2015deMendonccedilaanddaSilva2016MontesandAcar2018)AccordingtodeMendonccedilaandMachado(2013)anincreaseinfiscalcredibilityhelpsfixedratebondstobeissuedFurthermorecredibilityreducesthepublicdebtindexed tomarket interest ratesAlong this same line the studybyMontes andSouza(2020)suggeststhatgreaterfiscalcredibilityreducessovereignrisk

OtherstudieshavefoundsimilarresultswithoutusingcredibilityindicesThorn-tonandVasilakis(2019)usingasampleof61low-andmiddle-incomecountriesfindthatcountriesthatadoptedtransparentfiscalrulesincreasedtheirfiscalcred-ibilityMoreoverinthecaseofIndonesiaKunkoro(2015)showsthatrulesforthefiscaldeficitareadevicetoobtainfiscalcredibilityFurthermorecredibilityreduces deficit volatility and contributes to price stabilityA similar result isreportedforthecaseofJapanAccordingtoShirakawa(2012)whenthegovern-mentlosescredibilityregardingdebtsustainabilityinflationincreasesboostinginterest ratesand increasingdefaultprobabilitiesSimilarly for thecaseof theCzechRepublicKlyuevandSnudden (2011)demonstrate that public expecta-tionsaboutthegovernmentrsquoscommitmentstofiscalconsolidationcanimproveits

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45 (1) 125-148 (2021)129credibilityAccordingtotheirresultsfiscalcredibilityhelpshighertaxincomes

andlowermarketinterestratestobeachieved

OtherempiricalstudiesmeasurecredibilitythroughfinancialmarketsrsquoreactionsInparticularKandilandMorsy(2014)proposethatfiscalcredibilitycanbemeasuredbytheconfidencethatmarketsshowinfiscalstimuliAccordingtotheirresultsfis-calstimulibackedbyinternationalreservesgenerategreatercredibilityandincreasethe impact of stimuli related to public spending In addition credible marketannouncementshelpreducethecostsassociatedwithloansanddebtservice

21 THE COLOMBIAN CASETheBankoftheRepublicthecentralbankofColombiaemergedin1923asanissuetransferdepositanddiscountbankandisthehighestmonetaryexchangeandcreditauthorityinColombiaThebankfunctionedasadevelopmentbankfortheeconomicgrowthofColombiabetween1930and1980Inthoseyearscoffeegrowers industrialists merchants and other agents had representation on theboard of directors In this period the Colombian economy exhibited averageannualinflationratesof20

Theindependenceofthecentralbankwasachievedin1991withthereformofthepolitical constitution ofColombiaAt that time the reform created a board ofdirectorsforthebankmadeupofsevenmembersthegeneralmanagerarepre-sentativeofthegovernmentwhoistheMinisterofFinanceandPublicCreditandfivefull-timemembersAsapositivesignofindependencebetweenmonetaryandfiscalpolicytodatetheBoardofDirectorshasneverapprovedloanstothegov-ernmenttofinancethefiscaldeficit

In2000theCentralBankofColombiaadoptedaninflationtargetingregimeandinflationrateshaveaveraged5peryearInflationtargetingwasadoptedasamon-etarypolicyresponsetoanchorinflationexpectationsandincreasefiscalrestrictions(Goacutemez2006Loacutepez-EncisoVargas-HerreraandRodriacuteguez-Nintildeo2016)Tosup-portthecentralbanksince2004theColombiangovernmenthashaddebtcontrolsandamedium-termfiscalframeworkthatprovidesinformationaboutfiscalplansInadditionin2012theColombiangovernmentadoptedafiscalruletoprogressivelyreducethefiscaldeficitTheobjectiveofthisruleistoachieveaprimaryfiscaldefi-citof less than1ofGDPfrom2022 (Loacutepez-EncisoVargas-HerreraandRod-riacuteguez-Nintildeo2016)Toachieve these targets thegovernmenthascarriedout taxreformstoreducethefiscaldeficitDespiteallthesefiscalcommitmentsreformshavebeenpartialwithanaverageofonetaxreformeverytwoyearsAsaresultfiscalimbalanceshavenotbeenresolvedandfiscalcredibilityislow

3 METHODOLOGYFiscalpolicyhaseffectsonmacroeconomicstabilityandmustbemanagedinaliableandcoherentmanner(FataacutesandMihov2003)Fiscalcredibilityisanassetfor governments and indicates that agents believe that fiscal targets will beachievedandthatasustainablefiscalpositionwillbemaintained(HaunerJonaacuteš

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45 (1) 125-148 (2021)

130 and Kumar 2007) In particular fiscal credibility is relevant to policymakersbecauseitcanhelpguidethemarketinawaythatavoidsrisinginflationexpecta-tions(deMendonccedilaandMachado2013)

Itisimportanttonotethatinthecaseofemergingeconomiesfiscaldeficitscon-stantlyputthefulfilmentofthecentralbankrsquosobjectivesatriskAsaresultinfla-tion expectation control is affected by fiscal credibility (Cerisola and Geros2009)Thispaperevaluatestheeffectsoffiscalcredibilityoninflationexpecta-tionsforthecaseoftheColombianeconomybasedoncentralbankexpectationssurveysThesesurveysaverage40participantsamongprivatebanksstockbro-kers pension funds academics and international organizations In the presentstudyinflationexpectationsarecalculatedas1-year-aheadinflationforecastsoftheparticipantssurveyedThisinformationisavailabletothepublicthroughitscentralbanktimeseriesstatisticssystemDrawingontheinformationavailablewepresenttheinflationexpectationsforthe2004-2019periodinfigure1

Figure 1Inflation expectations in the Colombian economy (in )

Inflation expectations Trend (HP filter)

25

30

35

40

45

50

55

60

2004 2005 2007 2009 2011 2013 2015 20172006 2008 2010 2012 2014 2016

Source Authoracutes elaboration Data from the Central Bank of Colombia Trend calculated with the Hodrick-Prescott filter

Inflationexpectationsdeclinedbetween2004and2013towardsthecentralbankrsquoslong-terminflationtargetwhichwassetat3Thisprocesswaspartiallyinter-ruptedbythesubprimecrisisof2007-2008Since2014therehasbeenanincreaseininflationexpectationsduetothegreatdifficultyofcontrollingsomeunexpectedeventssuchasastrongdevaluationintheexchangerateandsomeinternalcrisescausedbyinternalpoliticalproblemsrelatedtomonetarypolicy

Thereareseveralchallengesinmeasuringfiscalcredibilitybecausethegovern-mentrsquosbudgetconstraintinvolvesseveralvariablesAccordingtodeMendonccedilaandMachado(2013)fiscalcredibilitycanbeevaluatedbypublicconfidenceinrelationto thegovernmentrsquosability toavoidtheriskofdefaultMoreover it ispossible to affirm that there is fiscal credibility when there is a government

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45 (1) 125-148 (2021)131commitmenttothesustainabilityofpublicfinancesAsaresultthereiscredibility

whenthegovernmentdoesnotusetheinflationtaxtofulfilitsobligations(HaunerJonasandKumar2007DebrunandKinda2017)

TomakecredibilitymeasurablethereareseveralproposalsAccordingtoDrazenandMasson(1994)credibilitycanbemeasuredbyagentsrsquoexpectationsregardingthefiscalresultsAnotherapproachisofferedbyNaert(2011)whopostulatesthatfiscalpolicyiscredibleifthereislittledifferencebetweenthecurrentlevelandtheprojectedlevelofsomefiscalmeasureThechallengeistodefinesomemeasureoffiscalperformanceonwhichagentsformexpectationsandmakeprojectionsBasedonDebrunandKinda(2017)fiscalperformancecanbemeasuredbytheoverallfiscaldeficitthatisbythedifferencebetweenexpendituresdebtserviceandtaxesHence

DEFt=Gt + rDtndash1ndashTt (1)

whereDEFtistheoverallfiscaldeficitGtisthepublicexpenditurerDtndash1isthepublicdebtinterestandTtisthetaxrevenuesAllthevariablesaredefinedasapercentageofthegrossdomesticproduct(GDP)

Anessentialpointregardingthecredibilityofeconomicpolicyispublicexpecta-tionAccordingtoCukiermanandMeltzer(1986)credibilitycanbemeasuredastheabsolutevalueofthedifferencebetweenthepolicymakerrsquosplansandthepub-licrsquosbeliefsaboutthoseplansMoreoverashighlightedbyFaustandSvensson(2001)credibilityisnegativelyrelatedtothedistancebetweenagentsrsquoexpecta-tions and the achievements of the policymaker FollowingHauner Jonas andKumar(2007)fiscalcredibilitycanbeapproximatedbythedifferencebetweenagentsrsquoexpectationsofthefiscaldeficit(E(DEFt))andthefiscaldeficitachievedbythegovernment(DEFt)Inotherwordsthegreaterthedifferencebetweentheobservedfiscaldeficitandagentsrsquoexpectationsthelessfiscalcredibilitythereisbecausethereisnoconvergenceinagentsrsquobeliefs

Fromthatperspectivethispaperusesacredibilitylossindicator(CRED_LOSS) that considers thedifferencesbetween theagentsrsquo expectationsabout thefiscaldeficitandtheoverallfiscaldeficitobserved(asanabsolutevalue)

CRED_LOSSt =|E(DEFt)ndashDEFt| (2)

whereE(DEF)isagentsrsquoexpectationsabouttheoverallfiscaldeficitandDEF is theoverallfiscaldeficitobservedThebehaviourofbothvariablesovertimeispresentedinfigure2TheagentsrsquoexpectationsregardingtheoverallfiscaldeficitareextractedfromthesurveyoftheCentralBankofColombiacalledldquoMacroeco-nomicProjectionsofLocalandForeignAnalystsˮInthissurveythecentralbankasksbrokerscommercialbankspension fundsacademic institutesand ratingagencies about the quarterly forecast of several macroeconomic variables

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45 (1) 125-148 (2021)

132 includingtheoverallfiscaldeficitThequarterlydataareavailablefrom2004(seeappendixtableA1)

The behaviour of both variables (DEF and E(DEF)) over time is presented infigure2belowItisobservedthatfrom2004to2008expectationsunderestimatedthe observedfiscal deficitThen since the endof 2008 expectations began togrowandwerelocatedclosetothefiscaldeficitsurpassingitin2010Between2010and2011thegovernmentadoptedafiscalruleontheprimaryfiscaldeficitandfromthenonexpectationsbegantofallFrom2012to2016therehasbeenanincreaseintheobservedfiscaldeficitandconsequentlyinexpectationsThisincreaseinvariablespeakedin2016Sincethentherehasbeenadropinboththeobserveddeficitandtheexpectations

Figure 2Fiscal deficit expectations and overall fiscal deficit observed in Colombia (in of GDP)

Overal fiscal deficit observed Fiscal deficit expectations

0

100

200

300

400

500

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authoracutes elaboration Data from the Central Bank of Colombia

Figure3showstheperformanceoffiscalcredibilityloss(CRED LOSS)from2004to2019inColombiaTheCRED LOSSindicatorshowsthattherewasuncertaintyaboutfiscalpolicyinthe2006-2008periodAsaresultfiscalcredibilitylosswashighinthatperiodOnceexpectationsbegantoapproachtheobserveddeficitthelossofcredibilityeasedandreachedalowof014in2011Q1AfterthiswebegantoobserveanunstablebehaviourofcredibilitylossDespitethisthetrendoftheseriesshowsthatthelossofcredibilitywasstablebetween2012and2019Forthefullperiod(2004-2019)thecredibilitylosswas09onaverage

SincetheseminalcontributionofKydlandandPrescott(1977)economictheoryhas assumed that an agents expectationsdependon thegovernmentrsquos crediblecommitmenttoanannouncedtargetInotherwordstheexpectedpathofthefiscaldeficitmattersfortheformationofinflationexpectationsInparticularwhenthereisnocommitmenttofiscalequilibriumgovernmentliabilitiesareensuredwithseigniorageandtheoutcomeisanincreaseinexpectedinflation(SargentandWal-lace1981)

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45 (1) 125-148 (2021)133Figure 3

Fiscal credibility loss in Colombia case (in )

CRED_LOSS Trend (HP Filter)

00

04

08

12

16

20

24

28

32

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authors elaboration Data from the Central Bank of Colombia

Credibility is theabilityofpolicymakers to inspireconfidenceand itcanhelpformexpectationsAccordingtoMishkin(2007)inflationtargetinginanenviron-mentof lowfiscalcredibilitycausesdifficulties inmanaging inflationexpecta-tionsandimpactstheeffectivenessofmonetarypolicyHencethebaselinemodelconsideredinourempiricalanalysisisasfollows

E(πt) =β1 + β2CRED_LOSSt +α3Xt + εt (3)

whereE(πt) is the annualized inflation expectationsCRED_LOSSt is thefiscalpolicycredibilitylossXtisavectorofexplanatoryvariablesandεtistheresidualterm

To observe an initial empirical relationship between inflation expectations andfiscalcredibilitylossascatterplotforbothvariablesispresentedinfigure4ThetheoreticalintuitionofapositiverelationshipbetweenbothvariablesisconfirmedThusabetterprojectionofthefiscaldeficitcanleadtoareductionininflationexpectations

Itisimportanttoverifywhetherthepublicinformationavailableonmacroeco-nomicandfinancialvariablesistakenintoconsiderationbytheagentsForthisitis useful touse themost recent data for inflation forecasts (MankiwReis andWolfers2003)Financialmarketvolatilityaffectstheperformanceofemergingeconomiesandindirectly theformationofexpectations(KennedyandPalerm2014)FortheColombiancasetheinternationaleconomyoutlookcausesvolatil-ityincapitalflowsandthebalanceofpaymentsthatcanimpactinflationexpecta-tionsThereforeweusebehaviouroftheSampP500stockmarketindex(VIXt-1)asourfirstexplanatoryvariableforinflationexpectations

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45 (1) 125-148 (2021)

134 Figure 4Inflation expectations and fiscal credibility loss in Colombia

CRED_LOSS (in )

Infla

tion

expe

ctat

ions

(in

)

25

30

35

40

45

50

55

60

00 04 08 12 16 20 24 28 32

Source Authors elaboration Data from the Central Bank of Colombia

Expectationsdependonpastinformationandeachagentinterpretstheavailableinformationinadifferentway(Roberts1997)Infacttheincreaseininflationexpectations can be attributed tobackward-looking behaviour (Dornbusch andFischer1993)Thereforepast inflation(πt-1) isusedas thesecondexplanatoryvariable

Inemergingeconomiesmovementsintheexchangerateimpactmarginalcostsandinflationforecasts(CelasunGelosandPrati2004)InparticulartheColom-bianeconomyhas an importantpass-throughof the exchange rate todomesticinflationthroughitscosteffectsThusasthethirdexplanatoryvariablethepastexchangerate(et-1)isused

AccordingtotheNeo-KeynesianPhillipsCurvemodelinflationexpectationsarerelatedtotheprofitmark-upovercostsThesemark-upchangesareafunctionofthe economic cycle (Woodford 2003) Thus we useGDP (yt-1) as the fourthexplanatoryvariableforinflationexpectations

OnthebasisofOkunrsquoslawitispossibletoestablisharelationshipbetweenoutputandthelabourmarketAccordinglyasanalternativemeasureoftheeconomythepast unemployment rate is used as the fifth explanatory variable for inflationexpectations(Ut-1)

Inshorttoanalysetheeffectoffiscalcredibilityoninflationexpectationsweusedanexplanatoryvariableassociatedwithexternalrisk(VIXt-1)twomeasuresasso-ciatedwithpastprices(πt-1 et-1)andtwomeasuresassociatedwitheconomicper-formance (yt-1 Ut-1)Thepast inflationexpectationsarealso incorporatedasanexplanatoryvariable(E(πt-1)) tocapturesomeinertiainexpectationsAdummyvariable (Dt) is also added to capture the possible effect of the 2007-2008

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45 (1) 125-148 (2021)135subprimecrisisThisdummytakesavalueof1fortheyear20081Thusthepos-

siblecombinationsofthesevariablesallowustopostulatethefollowingmodels

E(πt) =α0 + α1 E(πtndash1) + α2CRED_LOSSt +α3VIXtndash1 + α4πtndash1 + α5ytndash1 + α6Dt+ εt 0(4)

E(πt) =α7 + α8 E(πtndash1) + α9CRED_LOSSt +α10VIXtndash1 + α11etndash1 + α12ytndash1 + α13Dt+ εt 1(5)

E(πt) =α14 + α15 E(πtndash1) + α16CRED_LOSSt +α17VIXtndash1 + α18πtndash1 + α19Utndash1 + α20Dt+ εt 2 (6)

E(πt) =α21 + α22 E(πtndash1) + α23CRED_LOSSt +α24VIXtndash1 + α25etndash1 + α26Utndash1 + α27Dt+ εt 3(7)

Additionallyweestimatethefullmodelwithallthevariables

E(πt) =α28 + α29 E(πtndash1) + α30CRED_LOSSt +α31VIXtndash1 + α32πtndash1 + α33ytndash1 + α34etndash1 + α35Utndash1 + α36Dt+ εt

4 (8)

Theperiodunderconsideration is from2004-1 to2019-4 (quarterlydata)ThechoiceoftheperiodisduetodataavailabilityforthefiscaldeficitexpectedwhicharenecessarytobuildthecredibilityindexSeetableA1(appendix)forthesourcesofdataanddescriptionsofallvariablesusedinthestudy

4 EMPIRICAL EVIDENCEAsinpreviousliteraturetheuseoftimeseriesdatainestimationsentailsverify-ingwhetherunitrootsexistThereforebeforecarryingouttheestimationsofallmodelstheincreasedDickey-Fullerunitroottest(ADF)thePhillips-Perrontest(PP) and theKwiatkowski-Phillips-Schmidt-Shin (KPSS) stationarity testwereperformedTheresultsarepresentedintableA3(appendix)Basedontheresultsoftheteststhevariablestobeusedinequations(4)-(8)areI(1) andhavethesameorderofintegration

AccordingtoEngleandGranger(1981)itispossibletoestimatethemodelspro-posedifthereisastationarycombinationintheseriesCointegrationtestswereperformedfortheproposedmodelThechoiceofVARlagandtheinclusionofthedeterministiccomponentsofthecointegrationvectorwasmadeonthebasisoftheSchwarz criterion (Harris 1995)The cointegration test proposed by Johansen(1991)basedonthesignificanceoftheestimatedeigenvaluesindicatestheexist-enceofacointegrationvectorinthemodels(seetableA3appendix)Thusthemodelswere estimatedwith the series in levelswithout problems of spuriousregressions

1BesidethepresentedmodelswealsoestimatedmodelswithoutputgapreplacingGDPaswellasbyinclud-ingmorelagsofinflationTheobtainedresultswerenotstatisticallysignificantandareavailableuponrequest

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

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45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

JUA

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AacuteTEG

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

JUA

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IRO

EFFEC

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AL R

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ILITY O

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FLATION

EXPEC

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

JUA

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

JUA

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45 (1) 125-148 (2021)

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24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

29HarrisR1995Using cointegration analysis in econometric modelingLon-donPrenticeHall

30HaunerDJonaacutešJandKumarM2007PolicyCredibilityandSovereignCreditTheCaseofthenewEUMemberStatesIMF Working PaperNo071Washing-tonInternationalMonetaryFundhttpsdoiorg1050899781451865653001

31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

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144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

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34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

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51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

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54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 4: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)

128 2 FISCAL CREDIBILITY AND INFLATION TARGETINGTheinflationtargetingframeworkrequiresahighdegreeofcoordinationbetweenthecentralbankandfiscalpolicyInfactforthepolicyframeworktobecredibletherecannotbepermanentfiscaldeficitsthatleadtofiscaldominanceandpublicdebtmonetization(MishkinandSavastano2001AllsoppandVines2005DeMendonccedila2007)Theabsenceoffiscaldominanceisarequirementforinflationtargeting(MishkinandSavastano2001)For this institutionsarenecessary toensurethebankrsquosindependenceandthegovernmentrsquoscommitmentstofiscalbal-ance(Wyplosz2005)

AccordingtoGuumlrkaynakLevinandSwanson(2010)andStrohsalMelnickandNautz(2016)long-terminflationexpectationsshouldnotrespondtomacroeco-nomicinformationwhenthereiseconomicpolicycredibilityInLatinAmericafiscal imbalancesareaproblemandcastdoubtonmonetarypolicycredibilityFiscalbalanceisthusanindicatorthatmustbecarefullymonitoredtoensurethecredibility of the inflation targets (Minea andTapsoba 2014)One strategy toresolvethisproblemresortstotheimpositionoffiscalresponsibilitylaws(DebrunHaunerandKumar2009LinandYe2009deMendonccedilaanddaSilva2016)Followinguponthisideaseveralstudieshaveanalysedtheeffectoffiscaltargetsorrulesoninflation

Onestrandoftheliteraturehasfocusedonmeasuringtheeffectsoffiscalcredibilityinemergingeconomiesunder inflation targetingThis literaturefocusesonfiscalcredibilityindicestoidentifytheireffectsonmacroeconomicvariablesInthecaseofBraziltherearefiscalcredibilityindicesonthedeficitandpublicdebtTheresultsofthesestudiesshowthatfiscalcredibilityhelpstoanchorinflationexpectationsreducesinflationarypressuresandexchangeratepass-throughoninflationlowersdisagreement infiscal expectations and stabilizesmarket interest rates (deMen-donccedilaandTostes2015deMendonccedilaanddaSilva2016MontesandAcar2018)AccordingtodeMendonccedilaandMachado(2013)anincreaseinfiscalcredibilityhelpsfixedratebondstobeissuedFurthermorecredibilityreducesthepublicdebtindexed tomarket interest ratesAlong this same line the studybyMontes andSouza(2020)suggeststhatgreaterfiscalcredibilityreducessovereignrisk

OtherstudieshavefoundsimilarresultswithoutusingcredibilityindicesThorn-tonandVasilakis(2019)usingasampleof61low-andmiddle-incomecountriesfindthatcountriesthatadoptedtransparentfiscalrulesincreasedtheirfiscalcred-ibilityMoreoverinthecaseofIndonesiaKunkoro(2015)showsthatrulesforthefiscaldeficitareadevicetoobtainfiscalcredibilityFurthermorecredibilityreduces deficit volatility and contributes to price stabilityA similar result isreportedforthecaseofJapanAccordingtoShirakawa(2012)whenthegovern-mentlosescredibilityregardingdebtsustainabilityinflationincreasesboostinginterest ratesand increasingdefaultprobabilitiesSimilarly for thecaseof theCzechRepublicKlyuevandSnudden (2011)demonstrate that public expecta-tionsaboutthegovernmentrsquoscommitmentstofiscalconsolidationcanimproveits

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45 (1) 125-148 (2021)129credibilityAccordingtotheirresultsfiscalcredibilityhelpshighertaxincomes

andlowermarketinterestratestobeachieved

OtherempiricalstudiesmeasurecredibilitythroughfinancialmarketsrsquoreactionsInparticularKandilandMorsy(2014)proposethatfiscalcredibilitycanbemeasuredbytheconfidencethatmarketsshowinfiscalstimuliAccordingtotheirresultsfis-calstimulibackedbyinternationalreservesgenerategreatercredibilityandincreasethe impact of stimuli related to public spending In addition credible marketannouncementshelpreducethecostsassociatedwithloansanddebtservice

21 THE COLOMBIAN CASETheBankoftheRepublicthecentralbankofColombiaemergedin1923asanissuetransferdepositanddiscountbankandisthehighestmonetaryexchangeandcreditauthorityinColombiaThebankfunctionedasadevelopmentbankfortheeconomicgrowthofColombiabetween1930and1980Inthoseyearscoffeegrowers industrialists merchants and other agents had representation on theboard of directors In this period the Colombian economy exhibited averageannualinflationratesof20

Theindependenceofthecentralbankwasachievedin1991withthereformofthepolitical constitution ofColombiaAt that time the reform created a board ofdirectorsforthebankmadeupofsevenmembersthegeneralmanagerarepre-sentativeofthegovernmentwhoistheMinisterofFinanceandPublicCreditandfivefull-timemembersAsapositivesignofindependencebetweenmonetaryandfiscalpolicytodatetheBoardofDirectorshasneverapprovedloanstothegov-ernmenttofinancethefiscaldeficit

In2000theCentralBankofColombiaadoptedaninflationtargetingregimeandinflationrateshaveaveraged5peryearInflationtargetingwasadoptedasamon-etarypolicyresponsetoanchorinflationexpectationsandincreasefiscalrestrictions(Goacutemez2006Loacutepez-EncisoVargas-HerreraandRodriacuteguez-Nintildeo2016)Tosup-portthecentralbanksince2004theColombiangovernmenthashaddebtcontrolsandamedium-termfiscalframeworkthatprovidesinformationaboutfiscalplansInadditionin2012theColombiangovernmentadoptedafiscalruletoprogressivelyreducethefiscaldeficitTheobjectiveofthisruleistoachieveaprimaryfiscaldefi-citof less than1ofGDPfrom2022 (Loacutepez-EncisoVargas-HerreraandRod-riacuteguez-Nintildeo2016)Toachieve these targets thegovernmenthascarriedout taxreformstoreducethefiscaldeficitDespiteallthesefiscalcommitmentsreformshavebeenpartialwithanaverageofonetaxreformeverytwoyearsAsaresultfiscalimbalanceshavenotbeenresolvedandfiscalcredibilityislow

3 METHODOLOGYFiscalpolicyhaseffectsonmacroeconomicstabilityandmustbemanagedinaliableandcoherentmanner(FataacutesandMihov2003)Fiscalcredibilityisanassetfor governments and indicates that agents believe that fiscal targets will beachievedandthatasustainablefiscalpositionwillbemaintained(HaunerJonaacuteš

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45 (1) 125-148 (2021)

130 and Kumar 2007) In particular fiscal credibility is relevant to policymakersbecauseitcanhelpguidethemarketinawaythatavoidsrisinginflationexpecta-tions(deMendonccedilaandMachado2013)

Itisimportanttonotethatinthecaseofemergingeconomiesfiscaldeficitscon-stantlyputthefulfilmentofthecentralbankrsquosobjectivesatriskAsaresultinfla-tion expectation control is affected by fiscal credibility (Cerisola and Geros2009)Thispaperevaluatestheeffectsoffiscalcredibilityoninflationexpecta-tionsforthecaseoftheColombianeconomybasedoncentralbankexpectationssurveysThesesurveysaverage40participantsamongprivatebanksstockbro-kers pension funds academics and international organizations In the presentstudyinflationexpectationsarecalculatedas1-year-aheadinflationforecastsoftheparticipantssurveyedThisinformationisavailabletothepublicthroughitscentralbanktimeseriesstatisticssystemDrawingontheinformationavailablewepresenttheinflationexpectationsforthe2004-2019periodinfigure1

Figure 1Inflation expectations in the Colombian economy (in )

Inflation expectations Trend (HP filter)

25

30

35

40

45

50

55

60

2004 2005 2007 2009 2011 2013 2015 20172006 2008 2010 2012 2014 2016

Source Authoracutes elaboration Data from the Central Bank of Colombia Trend calculated with the Hodrick-Prescott filter

Inflationexpectationsdeclinedbetween2004and2013towardsthecentralbankrsquoslong-terminflationtargetwhichwassetat3Thisprocesswaspartiallyinter-ruptedbythesubprimecrisisof2007-2008Since2014therehasbeenanincreaseininflationexpectationsduetothegreatdifficultyofcontrollingsomeunexpectedeventssuchasastrongdevaluationintheexchangerateandsomeinternalcrisescausedbyinternalpoliticalproblemsrelatedtomonetarypolicy

Thereareseveralchallengesinmeasuringfiscalcredibilitybecausethegovern-mentrsquosbudgetconstraintinvolvesseveralvariablesAccordingtodeMendonccedilaandMachado(2013)fiscalcredibilitycanbeevaluatedbypublicconfidenceinrelationto thegovernmentrsquosability toavoidtheriskofdefaultMoreover it ispossible to affirm that there is fiscal credibility when there is a government

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45 (1) 125-148 (2021)131commitmenttothesustainabilityofpublicfinancesAsaresultthereiscredibility

whenthegovernmentdoesnotusetheinflationtaxtofulfilitsobligations(HaunerJonasandKumar2007DebrunandKinda2017)

TomakecredibilitymeasurablethereareseveralproposalsAccordingtoDrazenandMasson(1994)credibilitycanbemeasuredbyagentsrsquoexpectationsregardingthefiscalresultsAnotherapproachisofferedbyNaert(2011)whopostulatesthatfiscalpolicyiscredibleifthereislittledifferencebetweenthecurrentlevelandtheprojectedlevelofsomefiscalmeasureThechallengeistodefinesomemeasureoffiscalperformanceonwhichagentsformexpectationsandmakeprojectionsBasedonDebrunandKinda(2017)fiscalperformancecanbemeasuredbytheoverallfiscaldeficitthatisbythedifferencebetweenexpendituresdebtserviceandtaxesHence

DEFt=Gt + rDtndash1ndashTt (1)

whereDEFtistheoverallfiscaldeficitGtisthepublicexpenditurerDtndash1isthepublicdebtinterestandTtisthetaxrevenuesAllthevariablesaredefinedasapercentageofthegrossdomesticproduct(GDP)

Anessentialpointregardingthecredibilityofeconomicpolicyispublicexpecta-tionAccordingtoCukiermanandMeltzer(1986)credibilitycanbemeasuredastheabsolutevalueofthedifferencebetweenthepolicymakerrsquosplansandthepub-licrsquosbeliefsaboutthoseplansMoreoverashighlightedbyFaustandSvensson(2001)credibilityisnegativelyrelatedtothedistancebetweenagentsrsquoexpecta-tions and the achievements of the policymaker FollowingHauner Jonas andKumar(2007)fiscalcredibilitycanbeapproximatedbythedifferencebetweenagentsrsquoexpectationsofthefiscaldeficit(E(DEFt))andthefiscaldeficitachievedbythegovernment(DEFt)Inotherwordsthegreaterthedifferencebetweentheobservedfiscaldeficitandagentsrsquoexpectationsthelessfiscalcredibilitythereisbecausethereisnoconvergenceinagentsrsquobeliefs

Fromthatperspectivethispaperusesacredibilitylossindicator(CRED_LOSS) that considers thedifferencesbetween theagentsrsquo expectationsabout thefiscaldeficitandtheoverallfiscaldeficitobserved(asanabsolutevalue)

CRED_LOSSt =|E(DEFt)ndashDEFt| (2)

whereE(DEF)isagentsrsquoexpectationsabouttheoverallfiscaldeficitandDEF is theoverallfiscaldeficitobservedThebehaviourofbothvariablesovertimeispresentedinfigure2TheagentsrsquoexpectationsregardingtheoverallfiscaldeficitareextractedfromthesurveyoftheCentralBankofColombiacalledldquoMacroeco-nomicProjectionsofLocalandForeignAnalystsˮInthissurveythecentralbankasksbrokerscommercialbankspension fundsacademic institutesand ratingagencies about the quarterly forecast of several macroeconomic variables

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45 (1) 125-148 (2021)

132 includingtheoverallfiscaldeficitThequarterlydataareavailablefrom2004(seeappendixtableA1)

The behaviour of both variables (DEF and E(DEF)) over time is presented infigure2belowItisobservedthatfrom2004to2008expectationsunderestimatedthe observedfiscal deficitThen since the endof 2008 expectations began togrowandwerelocatedclosetothefiscaldeficitsurpassingitin2010Between2010and2011thegovernmentadoptedafiscalruleontheprimaryfiscaldeficitandfromthenonexpectationsbegantofallFrom2012to2016therehasbeenanincreaseintheobservedfiscaldeficitandconsequentlyinexpectationsThisincreaseinvariablespeakedin2016Sincethentherehasbeenadropinboththeobserveddeficitandtheexpectations

Figure 2Fiscal deficit expectations and overall fiscal deficit observed in Colombia (in of GDP)

Overal fiscal deficit observed Fiscal deficit expectations

0

100

200

300

400

500

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authoracutes elaboration Data from the Central Bank of Colombia

Figure3showstheperformanceoffiscalcredibilityloss(CRED LOSS)from2004to2019inColombiaTheCRED LOSSindicatorshowsthattherewasuncertaintyaboutfiscalpolicyinthe2006-2008periodAsaresultfiscalcredibilitylosswashighinthatperiodOnceexpectationsbegantoapproachtheobserveddeficitthelossofcredibilityeasedandreachedalowof014in2011Q1AfterthiswebegantoobserveanunstablebehaviourofcredibilitylossDespitethisthetrendoftheseriesshowsthatthelossofcredibilitywasstablebetween2012and2019Forthefullperiod(2004-2019)thecredibilitylosswas09onaverage

SincetheseminalcontributionofKydlandandPrescott(1977)economictheoryhas assumed that an agents expectationsdependon thegovernmentrsquos crediblecommitmenttoanannouncedtargetInotherwordstheexpectedpathofthefiscaldeficitmattersfortheformationofinflationexpectationsInparticularwhenthereisnocommitmenttofiscalequilibriumgovernmentliabilitiesareensuredwithseigniorageandtheoutcomeisanincreaseinexpectedinflation(SargentandWal-lace1981)

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45 (1) 125-148 (2021)133Figure 3

Fiscal credibility loss in Colombia case (in )

CRED_LOSS Trend (HP Filter)

00

04

08

12

16

20

24

28

32

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authors elaboration Data from the Central Bank of Colombia

Credibility is theabilityofpolicymakers to inspireconfidenceand itcanhelpformexpectationsAccordingtoMishkin(2007)inflationtargetinginanenviron-mentof lowfiscalcredibilitycausesdifficulties inmanaging inflationexpecta-tionsandimpactstheeffectivenessofmonetarypolicyHencethebaselinemodelconsideredinourempiricalanalysisisasfollows

E(πt) =β1 + β2CRED_LOSSt +α3Xt + εt (3)

whereE(πt) is the annualized inflation expectationsCRED_LOSSt is thefiscalpolicycredibilitylossXtisavectorofexplanatoryvariablesandεtistheresidualterm

To observe an initial empirical relationship between inflation expectations andfiscalcredibilitylossascatterplotforbothvariablesispresentedinfigure4ThetheoreticalintuitionofapositiverelationshipbetweenbothvariablesisconfirmedThusabetterprojectionofthefiscaldeficitcanleadtoareductionininflationexpectations

Itisimportanttoverifywhetherthepublicinformationavailableonmacroeco-nomicandfinancialvariablesistakenintoconsiderationbytheagentsForthisitis useful touse themost recent data for inflation forecasts (MankiwReis andWolfers2003)Financialmarketvolatilityaffectstheperformanceofemergingeconomiesandindirectly theformationofexpectations(KennedyandPalerm2014)FortheColombiancasetheinternationaleconomyoutlookcausesvolatil-ityincapitalflowsandthebalanceofpaymentsthatcanimpactinflationexpecta-tionsThereforeweusebehaviouroftheSampP500stockmarketindex(VIXt-1)asourfirstexplanatoryvariableforinflationexpectations

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45 (1) 125-148 (2021)

134 Figure 4Inflation expectations and fiscal credibility loss in Colombia

CRED_LOSS (in )

Infla

tion

expe

ctat

ions

(in

)

25

30

35

40

45

50

55

60

00 04 08 12 16 20 24 28 32

Source Authors elaboration Data from the Central Bank of Colombia

Expectationsdependonpastinformationandeachagentinterpretstheavailableinformationinadifferentway(Roberts1997)Infacttheincreaseininflationexpectations can be attributed tobackward-looking behaviour (Dornbusch andFischer1993)Thereforepast inflation(πt-1) isusedas thesecondexplanatoryvariable

Inemergingeconomiesmovementsintheexchangerateimpactmarginalcostsandinflationforecasts(CelasunGelosandPrati2004)InparticulartheColom-bianeconomyhas an importantpass-throughof the exchange rate todomesticinflationthroughitscosteffectsThusasthethirdexplanatoryvariablethepastexchangerate(et-1)isused

AccordingtotheNeo-KeynesianPhillipsCurvemodelinflationexpectationsarerelatedtotheprofitmark-upovercostsThesemark-upchangesareafunctionofthe economic cycle (Woodford 2003) Thus we useGDP (yt-1) as the fourthexplanatoryvariableforinflationexpectations

OnthebasisofOkunrsquoslawitispossibletoestablisharelationshipbetweenoutputandthelabourmarketAccordinglyasanalternativemeasureoftheeconomythepast unemployment rate is used as the fifth explanatory variable for inflationexpectations(Ut-1)

Inshorttoanalysetheeffectoffiscalcredibilityoninflationexpectationsweusedanexplanatoryvariableassociatedwithexternalrisk(VIXt-1)twomeasuresasso-ciatedwithpastprices(πt-1 et-1)andtwomeasuresassociatedwitheconomicper-formance (yt-1 Ut-1)Thepast inflationexpectationsarealso incorporatedasanexplanatoryvariable(E(πt-1)) tocapturesomeinertiainexpectationsAdummyvariable (Dt) is also added to capture the possible effect of the 2007-2008

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45 (1) 125-148 (2021)135subprimecrisisThisdummytakesavalueof1fortheyear20081Thusthepos-

siblecombinationsofthesevariablesallowustopostulatethefollowingmodels

E(πt) =α0 + α1 E(πtndash1) + α2CRED_LOSSt +α3VIXtndash1 + α4πtndash1 + α5ytndash1 + α6Dt+ εt 0(4)

E(πt) =α7 + α8 E(πtndash1) + α9CRED_LOSSt +α10VIXtndash1 + α11etndash1 + α12ytndash1 + α13Dt+ εt 1(5)

E(πt) =α14 + α15 E(πtndash1) + α16CRED_LOSSt +α17VIXtndash1 + α18πtndash1 + α19Utndash1 + α20Dt+ εt 2 (6)

E(πt) =α21 + α22 E(πtndash1) + α23CRED_LOSSt +α24VIXtndash1 + α25etndash1 + α26Utndash1 + α27Dt+ εt 3(7)

Additionallyweestimatethefullmodelwithallthevariables

E(πt) =α28 + α29 E(πtndash1) + α30CRED_LOSSt +α31VIXtndash1 + α32πtndash1 + α33ytndash1 + α34etndash1 + α35Utndash1 + α36Dt+ εt

4 (8)

Theperiodunderconsideration is from2004-1 to2019-4 (quarterlydata)ThechoiceoftheperiodisduetodataavailabilityforthefiscaldeficitexpectedwhicharenecessarytobuildthecredibilityindexSeetableA1(appendix)forthesourcesofdataanddescriptionsofallvariablesusedinthestudy

4 EMPIRICAL EVIDENCEAsinpreviousliteraturetheuseoftimeseriesdatainestimationsentailsverify-ingwhetherunitrootsexistThereforebeforecarryingouttheestimationsofallmodelstheincreasedDickey-Fullerunitroottest(ADF)thePhillips-Perrontest(PP) and theKwiatkowski-Phillips-Schmidt-Shin (KPSS) stationarity testwereperformedTheresultsarepresentedintableA3(appendix)Basedontheresultsoftheteststhevariablestobeusedinequations(4)-(8)areI(1) andhavethesameorderofintegration

AccordingtoEngleandGranger(1981)itispossibletoestimatethemodelspro-posedifthereisastationarycombinationintheseriesCointegrationtestswereperformedfortheproposedmodelThechoiceofVARlagandtheinclusionofthedeterministiccomponentsofthecointegrationvectorwasmadeonthebasisoftheSchwarz criterion (Harris 1995)The cointegration test proposed by Johansen(1991)basedonthesignificanceoftheestimatedeigenvaluesindicatestheexist-enceofacointegrationvectorinthemodels(seetableA3appendix)Thusthemodelswere estimatedwith the series in levelswithout problems of spuriousregressions

1BesidethepresentedmodelswealsoestimatedmodelswithoutputgapreplacingGDPaswellasbyinclud-ingmorelagsofinflationTheobtainedresultswerenotstatisticallysignificantandareavailableuponrequest

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

JUA

N C

AM

ILO A

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UI-ZA

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MILO

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LVIS-C

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EFFEC

TS OF FISC

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EXPEC

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S EV

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45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

JUA

N C

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PATA JU

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MILO

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

JUA

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

JUA

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

JUA

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FLATION

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

JUA

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45 (1) 125-148 (2021)

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52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 5: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)129credibilityAccordingtotheirresultsfiscalcredibilityhelpshighertaxincomes

andlowermarketinterestratestobeachieved

OtherempiricalstudiesmeasurecredibilitythroughfinancialmarketsrsquoreactionsInparticularKandilandMorsy(2014)proposethatfiscalcredibilitycanbemeasuredbytheconfidencethatmarketsshowinfiscalstimuliAccordingtotheirresultsfis-calstimulibackedbyinternationalreservesgenerategreatercredibilityandincreasethe impact of stimuli related to public spending In addition credible marketannouncementshelpreducethecostsassociatedwithloansanddebtservice

21 THE COLOMBIAN CASETheBankoftheRepublicthecentralbankofColombiaemergedin1923asanissuetransferdepositanddiscountbankandisthehighestmonetaryexchangeandcreditauthorityinColombiaThebankfunctionedasadevelopmentbankfortheeconomicgrowthofColombiabetween1930and1980Inthoseyearscoffeegrowers industrialists merchants and other agents had representation on theboard of directors In this period the Colombian economy exhibited averageannualinflationratesof20

Theindependenceofthecentralbankwasachievedin1991withthereformofthepolitical constitution ofColombiaAt that time the reform created a board ofdirectorsforthebankmadeupofsevenmembersthegeneralmanagerarepre-sentativeofthegovernmentwhoistheMinisterofFinanceandPublicCreditandfivefull-timemembersAsapositivesignofindependencebetweenmonetaryandfiscalpolicytodatetheBoardofDirectorshasneverapprovedloanstothegov-ernmenttofinancethefiscaldeficit

In2000theCentralBankofColombiaadoptedaninflationtargetingregimeandinflationrateshaveaveraged5peryearInflationtargetingwasadoptedasamon-etarypolicyresponsetoanchorinflationexpectationsandincreasefiscalrestrictions(Goacutemez2006Loacutepez-EncisoVargas-HerreraandRodriacuteguez-Nintildeo2016)Tosup-portthecentralbanksince2004theColombiangovernmenthashaddebtcontrolsandamedium-termfiscalframeworkthatprovidesinformationaboutfiscalplansInadditionin2012theColombiangovernmentadoptedafiscalruletoprogressivelyreducethefiscaldeficitTheobjectiveofthisruleistoachieveaprimaryfiscaldefi-citof less than1ofGDPfrom2022 (Loacutepez-EncisoVargas-HerreraandRod-riacuteguez-Nintildeo2016)Toachieve these targets thegovernmenthascarriedout taxreformstoreducethefiscaldeficitDespiteallthesefiscalcommitmentsreformshavebeenpartialwithanaverageofonetaxreformeverytwoyearsAsaresultfiscalimbalanceshavenotbeenresolvedandfiscalcredibilityislow

3 METHODOLOGYFiscalpolicyhaseffectsonmacroeconomicstabilityandmustbemanagedinaliableandcoherentmanner(FataacutesandMihov2003)Fiscalcredibilityisanassetfor governments and indicates that agents believe that fiscal targets will beachievedandthatasustainablefiscalpositionwillbemaintained(HaunerJonaacuteš

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45 (1) 125-148 (2021)

130 and Kumar 2007) In particular fiscal credibility is relevant to policymakersbecauseitcanhelpguidethemarketinawaythatavoidsrisinginflationexpecta-tions(deMendonccedilaandMachado2013)

Itisimportanttonotethatinthecaseofemergingeconomiesfiscaldeficitscon-stantlyputthefulfilmentofthecentralbankrsquosobjectivesatriskAsaresultinfla-tion expectation control is affected by fiscal credibility (Cerisola and Geros2009)Thispaperevaluatestheeffectsoffiscalcredibilityoninflationexpecta-tionsforthecaseoftheColombianeconomybasedoncentralbankexpectationssurveysThesesurveysaverage40participantsamongprivatebanksstockbro-kers pension funds academics and international organizations In the presentstudyinflationexpectationsarecalculatedas1-year-aheadinflationforecastsoftheparticipantssurveyedThisinformationisavailabletothepublicthroughitscentralbanktimeseriesstatisticssystemDrawingontheinformationavailablewepresenttheinflationexpectationsforthe2004-2019periodinfigure1

Figure 1Inflation expectations in the Colombian economy (in )

Inflation expectations Trend (HP filter)

25

30

35

40

45

50

55

60

2004 2005 2007 2009 2011 2013 2015 20172006 2008 2010 2012 2014 2016

Source Authoracutes elaboration Data from the Central Bank of Colombia Trend calculated with the Hodrick-Prescott filter

Inflationexpectationsdeclinedbetween2004and2013towardsthecentralbankrsquoslong-terminflationtargetwhichwassetat3Thisprocesswaspartiallyinter-ruptedbythesubprimecrisisof2007-2008Since2014therehasbeenanincreaseininflationexpectationsduetothegreatdifficultyofcontrollingsomeunexpectedeventssuchasastrongdevaluationintheexchangerateandsomeinternalcrisescausedbyinternalpoliticalproblemsrelatedtomonetarypolicy

Thereareseveralchallengesinmeasuringfiscalcredibilitybecausethegovern-mentrsquosbudgetconstraintinvolvesseveralvariablesAccordingtodeMendonccedilaandMachado(2013)fiscalcredibilitycanbeevaluatedbypublicconfidenceinrelationto thegovernmentrsquosability toavoidtheriskofdefaultMoreover it ispossible to affirm that there is fiscal credibility when there is a government

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45 (1) 125-148 (2021)131commitmenttothesustainabilityofpublicfinancesAsaresultthereiscredibility

whenthegovernmentdoesnotusetheinflationtaxtofulfilitsobligations(HaunerJonasandKumar2007DebrunandKinda2017)

TomakecredibilitymeasurablethereareseveralproposalsAccordingtoDrazenandMasson(1994)credibilitycanbemeasuredbyagentsrsquoexpectationsregardingthefiscalresultsAnotherapproachisofferedbyNaert(2011)whopostulatesthatfiscalpolicyiscredibleifthereislittledifferencebetweenthecurrentlevelandtheprojectedlevelofsomefiscalmeasureThechallengeistodefinesomemeasureoffiscalperformanceonwhichagentsformexpectationsandmakeprojectionsBasedonDebrunandKinda(2017)fiscalperformancecanbemeasuredbytheoverallfiscaldeficitthatisbythedifferencebetweenexpendituresdebtserviceandtaxesHence

DEFt=Gt + rDtndash1ndashTt (1)

whereDEFtistheoverallfiscaldeficitGtisthepublicexpenditurerDtndash1isthepublicdebtinterestandTtisthetaxrevenuesAllthevariablesaredefinedasapercentageofthegrossdomesticproduct(GDP)

Anessentialpointregardingthecredibilityofeconomicpolicyispublicexpecta-tionAccordingtoCukiermanandMeltzer(1986)credibilitycanbemeasuredastheabsolutevalueofthedifferencebetweenthepolicymakerrsquosplansandthepub-licrsquosbeliefsaboutthoseplansMoreoverashighlightedbyFaustandSvensson(2001)credibilityisnegativelyrelatedtothedistancebetweenagentsrsquoexpecta-tions and the achievements of the policymaker FollowingHauner Jonas andKumar(2007)fiscalcredibilitycanbeapproximatedbythedifferencebetweenagentsrsquoexpectationsofthefiscaldeficit(E(DEFt))andthefiscaldeficitachievedbythegovernment(DEFt)Inotherwordsthegreaterthedifferencebetweentheobservedfiscaldeficitandagentsrsquoexpectationsthelessfiscalcredibilitythereisbecausethereisnoconvergenceinagentsrsquobeliefs

Fromthatperspectivethispaperusesacredibilitylossindicator(CRED_LOSS) that considers thedifferencesbetween theagentsrsquo expectationsabout thefiscaldeficitandtheoverallfiscaldeficitobserved(asanabsolutevalue)

CRED_LOSSt =|E(DEFt)ndashDEFt| (2)

whereE(DEF)isagentsrsquoexpectationsabouttheoverallfiscaldeficitandDEF is theoverallfiscaldeficitobservedThebehaviourofbothvariablesovertimeispresentedinfigure2TheagentsrsquoexpectationsregardingtheoverallfiscaldeficitareextractedfromthesurveyoftheCentralBankofColombiacalledldquoMacroeco-nomicProjectionsofLocalandForeignAnalystsˮInthissurveythecentralbankasksbrokerscommercialbankspension fundsacademic institutesand ratingagencies about the quarterly forecast of several macroeconomic variables

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45 (1) 125-148 (2021)

132 includingtheoverallfiscaldeficitThequarterlydataareavailablefrom2004(seeappendixtableA1)

The behaviour of both variables (DEF and E(DEF)) over time is presented infigure2belowItisobservedthatfrom2004to2008expectationsunderestimatedthe observedfiscal deficitThen since the endof 2008 expectations began togrowandwerelocatedclosetothefiscaldeficitsurpassingitin2010Between2010and2011thegovernmentadoptedafiscalruleontheprimaryfiscaldeficitandfromthenonexpectationsbegantofallFrom2012to2016therehasbeenanincreaseintheobservedfiscaldeficitandconsequentlyinexpectationsThisincreaseinvariablespeakedin2016Sincethentherehasbeenadropinboththeobserveddeficitandtheexpectations

Figure 2Fiscal deficit expectations and overall fiscal deficit observed in Colombia (in of GDP)

Overal fiscal deficit observed Fiscal deficit expectations

0

100

200

300

400

500

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authoracutes elaboration Data from the Central Bank of Colombia

Figure3showstheperformanceoffiscalcredibilityloss(CRED LOSS)from2004to2019inColombiaTheCRED LOSSindicatorshowsthattherewasuncertaintyaboutfiscalpolicyinthe2006-2008periodAsaresultfiscalcredibilitylosswashighinthatperiodOnceexpectationsbegantoapproachtheobserveddeficitthelossofcredibilityeasedandreachedalowof014in2011Q1AfterthiswebegantoobserveanunstablebehaviourofcredibilitylossDespitethisthetrendoftheseriesshowsthatthelossofcredibilitywasstablebetween2012and2019Forthefullperiod(2004-2019)thecredibilitylosswas09onaverage

SincetheseminalcontributionofKydlandandPrescott(1977)economictheoryhas assumed that an agents expectationsdependon thegovernmentrsquos crediblecommitmenttoanannouncedtargetInotherwordstheexpectedpathofthefiscaldeficitmattersfortheformationofinflationexpectationsInparticularwhenthereisnocommitmenttofiscalequilibriumgovernmentliabilitiesareensuredwithseigniorageandtheoutcomeisanincreaseinexpectedinflation(SargentandWal-lace1981)

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45 (1) 125-148 (2021)133Figure 3

Fiscal credibility loss in Colombia case (in )

CRED_LOSS Trend (HP Filter)

00

04

08

12

16

20

24

28

32

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authors elaboration Data from the Central Bank of Colombia

Credibility is theabilityofpolicymakers to inspireconfidenceand itcanhelpformexpectationsAccordingtoMishkin(2007)inflationtargetinginanenviron-mentof lowfiscalcredibilitycausesdifficulties inmanaging inflationexpecta-tionsandimpactstheeffectivenessofmonetarypolicyHencethebaselinemodelconsideredinourempiricalanalysisisasfollows

E(πt) =β1 + β2CRED_LOSSt +α3Xt + εt (3)

whereE(πt) is the annualized inflation expectationsCRED_LOSSt is thefiscalpolicycredibilitylossXtisavectorofexplanatoryvariablesandεtistheresidualterm

To observe an initial empirical relationship between inflation expectations andfiscalcredibilitylossascatterplotforbothvariablesispresentedinfigure4ThetheoreticalintuitionofapositiverelationshipbetweenbothvariablesisconfirmedThusabetterprojectionofthefiscaldeficitcanleadtoareductionininflationexpectations

Itisimportanttoverifywhetherthepublicinformationavailableonmacroeco-nomicandfinancialvariablesistakenintoconsiderationbytheagentsForthisitis useful touse themost recent data for inflation forecasts (MankiwReis andWolfers2003)Financialmarketvolatilityaffectstheperformanceofemergingeconomiesandindirectly theformationofexpectations(KennedyandPalerm2014)FortheColombiancasetheinternationaleconomyoutlookcausesvolatil-ityincapitalflowsandthebalanceofpaymentsthatcanimpactinflationexpecta-tionsThereforeweusebehaviouroftheSampP500stockmarketindex(VIXt-1)asourfirstexplanatoryvariableforinflationexpectations

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45 (1) 125-148 (2021)

134 Figure 4Inflation expectations and fiscal credibility loss in Colombia

CRED_LOSS (in )

Infla

tion

expe

ctat

ions

(in

)

25

30

35

40

45

50

55

60

00 04 08 12 16 20 24 28 32

Source Authors elaboration Data from the Central Bank of Colombia

Expectationsdependonpastinformationandeachagentinterpretstheavailableinformationinadifferentway(Roberts1997)Infacttheincreaseininflationexpectations can be attributed tobackward-looking behaviour (Dornbusch andFischer1993)Thereforepast inflation(πt-1) isusedas thesecondexplanatoryvariable

Inemergingeconomiesmovementsintheexchangerateimpactmarginalcostsandinflationforecasts(CelasunGelosandPrati2004)InparticulartheColom-bianeconomyhas an importantpass-throughof the exchange rate todomesticinflationthroughitscosteffectsThusasthethirdexplanatoryvariablethepastexchangerate(et-1)isused

AccordingtotheNeo-KeynesianPhillipsCurvemodelinflationexpectationsarerelatedtotheprofitmark-upovercostsThesemark-upchangesareafunctionofthe economic cycle (Woodford 2003) Thus we useGDP (yt-1) as the fourthexplanatoryvariableforinflationexpectations

OnthebasisofOkunrsquoslawitispossibletoestablisharelationshipbetweenoutputandthelabourmarketAccordinglyasanalternativemeasureoftheeconomythepast unemployment rate is used as the fifth explanatory variable for inflationexpectations(Ut-1)

Inshorttoanalysetheeffectoffiscalcredibilityoninflationexpectationsweusedanexplanatoryvariableassociatedwithexternalrisk(VIXt-1)twomeasuresasso-ciatedwithpastprices(πt-1 et-1)andtwomeasuresassociatedwitheconomicper-formance (yt-1 Ut-1)Thepast inflationexpectationsarealso incorporatedasanexplanatoryvariable(E(πt-1)) tocapturesomeinertiainexpectationsAdummyvariable (Dt) is also added to capture the possible effect of the 2007-2008

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45 (1) 125-148 (2021)135subprimecrisisThisdummytakesavalueof1fortheyear20081Thusthepos-

siblecombinationsofthesevariablesallowustopostulatethefollowingmodels

E(πt) =α0 + α1 E(πtndash1) + α2CRED_LOSSt +α3VIXtndash1 + α4πtndash1 + α5ytndash1 + α6Dt+ εt 0(4)

E(πt) =α7 + α8 E(πtndash1) + α9CRED_LOSSt +α10VIXtndash1 + α11etndash1 + α12ytndash1 + α13Dt+ εt 1(5)

E(πt) =α14 + α15 E(πtndash1) + α16CRED_LOSSt +α17VIXtndash1 + α18πtndash1 + α19Utndash1 + α20Dt+ εt 2 (6)

E(πt) =α21 + α22 E(πtndash1) + α23CRED_LOSSt +α24VIXtndash1 + α25etndash1 + α26Utndash1 + α27Dt+ εt 3(7)

Additionallyweestimatethefullmodelwithallthevariables

E(πt) =α28 + α29 E(πtndash1) + α30CRED_LOSSt +α31VIXtndash1 + α32πtndash1 + α33ytndash1 + α34etndash1 + α35Utndash1 + α36Dt+ εt

4 (8)

Theperiodunderconsideration is from2004-1 to2019-4 (quarterlydata)ThechoiceoftheperiodisduetodataavailabilityforthefiscaldeficitexpectedwhicharenecessarytobuildthecredibilityindexSeetableA1(appendix)forthesourcesofdataanddescriptionsofallvariablesusedinthestudy

4 EMPIRICAL EVIDENCEAsinpreviousliteraturetheuseoftimeseriesdatainestimationsentailsverify-ingwhetherunitrootsexistThereforebeforecarryingouttheestimationsofallmodelstheincreasedDickey-Fullerunitroottest(ADF)thePhillips-Perrontest(PP) and theKwiatkowski-Phillips-Schmidt-Shin (KPSS) stationarity testwereperformedTheresultsarepresentedintableA3(appendix)Basedontheresultsoftheteststhevariablestobeusedinequations(4)-(8)areI(1) andhavethesameorderofintegration

AccordingtoEngleandGranger(1981)itispossibletoestimatethemodelspro-posedifthereisastationarycombinationintheseriesCointegrationtestswereperformedfortheproposedmodelThechoiceofVARlagandtheinclusionofthedeterministiccomponentsofthecointegrationvectorwasmadeonthebasisoftheSchwarz criterion (Harris 1995)The cointegration test proposed by Johansen(1991)basedonthesignificanceoftheestimatedeigenvaluesindicatestheexist-enceofacointegrationvectorinthemodels(seetableA3appendix)Thusthemodelswere estimatedwith the series in levelswithout problems of spuriousregressions

1BesidethepresentedmodelswealsoestimatedmodelswithoutputgapreplacingGDPaswellasbyinclud-ingmorelagsofinflationTheobtainedresultswerenotstatisticallysignificantandareavailableuponrequest

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

IDEN

CE FR

OM

AN

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GIN

G EC

ON

OM

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PUB

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OM

ICS

45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

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ILITY O

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FLATION

EXPEC

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S EV

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ON

OM

ICS

45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

JUA

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LVIS-C

IRO

EFFEC

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AL R

EDIB

ILITY O

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FLATION

EXPEC

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

JUA

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EFFEC

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ILITY O

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FLATION

EXPEC

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

JUA

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AacuteTEG

UI-ZA

PATA JU

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IRO

EFFEC

TS OF FISC

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FLATION

EXPEC

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

JUA

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45 (1) 125-148 (2021)

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39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 6: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)

130 and Kumar 2007) In particular fiscal credibility is relevant to policymakersbecauseitcanhelpguidethemarketinawaythatavoidsrisinginflationexpecta-tions(deMendonccedilaandMachado2013)

Itisimportanttonotethatinthecaseofemergingeconomiesfiscaldeficitscon-stantlyputthefulfilmentofthecentralbankrsquosobjectivesatriskAsaresultinfla-tion expectation control is affected by fiscal credibility (Cerisola and Geros2009)Thispaperevaluatestheeffectsoffiscalcredibilityoninflationexpecta-tionsforthecaseoftheColombianeconomybasedoncentralbankexpectationssurveysThesesurveysaverage40participantsamongprivatebanksstockbro-kers pension funds academics and international organizations In the presentstudyinflationexpectationsarecalculatedas1-year-aheadinflationforecastsoftheparticipantssurveyedThisinformationisavailabletothepublicthroughitscentralbanktimeseriesstatisticssystemDrawingontheinformationavailablewepresenttheinflationexpectationsforthe2004-2019periodinfigure1

Figure 1Inflation expectations in the Colombian economy (in )

Inflation expectations Trend (HP filter)

25

30

35

40

45

50

55

60

2004 2005 2007 2009 2011 2013 2015 20172006 2008 2010 2012 2014 2016

Source Authoracutes elaboration Data from the Central Bank of Colombia Trend calculated with the Hodrick-Prescott filter

Inflationexpectationsdeclinedbetween2004and2013towardsthecentralbankrsquoslong-terminflationtargetwhichwassetat3Thisprocesswaspartiallyinter-ruptedbythesubprimecrisisof2007-2008Since2014therehasbeenanincreaseininflationexpectationsduetothegreatdifficultyofcontrollingsomeunexpectedeventssuchasastrongdevaluationintheexchangerateandsomeinternalcrisescausedbyinternalpoliticalproblemsrelatedtomonetarypolicy

Thereareseveralchallengesinmeasuringfiscalcredibilitybecausethegovern-mentrsquosbudgetconstraintinvolvesseveralvariablesAccordingtodeMendonccedilaandMachado(2013)fiscalcredibilitycanbeevaluatedbypublicconfidenceinrelationto thegovernmentrsquosability toavoidtheriskofdefaultMoreover it ispossible to affirm that there is fiscal credibility when there is a government

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45 (1) 125-148 (2021)131commitmenttothesustainabilityofpublicfinancesAsaresultthereiscredibility

whenthegovernmentdoesnotusetheinflationtaxtofulfilitsobligations(HaunerJonasandKumar2007DebrunandKinda2017)

TomakecredibilitymeasurablethereareseveralproposalsAccordingtoDrazenandMasson(1994)credibilitycanbemeasuredbyagentsrsquoexpectationsregardingthefiscalresultsAnotherapproachisofferedbyNaert(2011)whopostulatesthatfiscalpolicyiscredibleifthereislittledifferencebetweenthecurrentlevelandtheprojectedlevelofsomefiscalmeasureThechallengeistodefinesomemeasureoffiscalperformanceonwhichagentsformexpectationsandmakeprojectionsBasedonDebrunandKinda(2017)fiscalperformancecanbemeasuredbytheoverallfiscaldeficitthatisbythedifferencebetweenexpendituresdebtserviceandtaxesHence

DEFt=Gt + rDtndash1ndashTt (1)

whereDEFtistheoverallfiscaldeficitGtisthepublicexpenditurerDtndash1isthepublicdebtinterestandTtisthetaxrevenuesAllthevariablesaredefinedasapercentageofthegrossdomesticproduct(GDP)

Anessentialpointregardingthecredibilityofeconomicpolicyispublicexpecta-tionAccordingtoCukiermanandMeltzer(1986)credibilitycanbemeasuredastheabsolutevalueofthedifferencebetweenthepolicymakerrsquosplansandthepub-licrsquosbeliefsaboutthoseplansMoreoverashighlightedbyFaustandSvensson(2001)credibilityisnegativelyrelatedtothedistancebetweenagentsrsquoexpecta-tions and the achievements of the policymaker FollowingHauner Jonas andKumar(2007)fiscalcredibilitycanbeapproximatedbythedifferencebetweenagentsrsquoexpectationsofthefiscaldeficit(E(DEFt))andthefiscaldeficitachievedbythegovernment(DEFt)Inotherwordsthegreaterthedifferencebetweentheobservedfiscaldeficitandagentsrsquoexpectationsthelessfiscalcredibilitythereisbecausethereisnoconvergenceinagentsrsquobeliefs

Fromthatperspectivethispaperusesacredibilitylossindicator(CRED_LOSS) that considers thedifferencesbetween theagentsrsquo expectationsabout thefiscaldeficitandtheoverallfiscaldeficitobserved(asanabsolutevalue)

CRED_LOSSt =|E(DEFt)ndashDEFt| (2)

whereE(DEF)isagentsrsquoexpectationsabouttheoverallfiscaldeficitandDEF is theoverallfiscaldeficitobservedThebehaviourofbothvariablesovertimeispresentedinfigure2TheagentsrsquoexpectationsregardingtheoverallfiscaldeficitareextractedfromthesurveyoftheCentralBankofColombiacalledldquoMacroeco-nomicProjectionsofLocalandForeignAnalystsˮInthissurveythecentralbankasksbrokerscommercialbankspension fundsacademic institutesand ratingagencies about the quarterly forecast of several macroeconomic variables

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45 (1) 125-148 (2021)

132 includingtheoverallfiscaldeficitThequarterlydataareavailablefrom2004(seeappendixtableA1)

The behaviour of both variables (DEF and E(DEF)) over time is presented infigure2belowItisobservedthatfrom2004to2008expectationsunderestimatedthe observedfiscal deficitThen since the endof 2008 expectations began togrowandwerelocatedclosetothefiscaldeficitsurpassingitin2010Between2010and2011thegovernmentadoptedafiscalruleontheprimaryfiscaldeficitandfromthenonexpectationsbegantofallFrom2012to2016therehasbeenanincreaseintheobservedfiscaldeficitandconsequentlyinexpectationsThisincreaseinvariablespeakedin2016Sincethentherehasbeenadropinboththeobserveddeficitandtheexpectations

Figure 2Fiscal deficit expectations and overall fiscal deficit observed in Colombia (in of GDP)

Overal fiscal deficit observed Fiscal deficit expectations

0

100

200

300

400

500

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authoracutes elaboration Data from the Central Bank of Colombia

Figure3showstheperformanceoffiscalcredibilityloss(CRED LOSS)from2004to2019inColombiaTheCRED LOSSindicatorshowsthattherewasuncertaintyaboutfiscalpolicyinthe2006-2008periodAsaresultfiscalcredibilitylosswashighinthatperiodOnceexpectationsbegantoapproachtheobserveddeficitthelossofcredibilityeasedandreachedalowof014in2011Q1AfterthiswebegantoobserveanunstablebehaviourofcredibilitylossDespitethisthetrendoftheseriesshowsthatthelossofcredibilitywasstablebetween2012and2019Forthefullperiod(2004-2019)thecredibilitylosswas09onaverage

SincetheseminalcontributionofKydlandandPrescott(1977)economictheoryhas assumed that an agents expectationsdependon thegovernmentrsquos crediblecommitmenttoanannouncedtargetInotherwordstheexpectedpathofthefiscaldeficitmattersfortheformationofinflationexpectationsInparticularwhenthereisnocommitmenttofiscalequilibriumgovernmentliabilitiesareensuredwithseigniorageandtheoutcomeisanincreaseinexpectedinflation(SargentandWal-lace1981)

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45 (1) 125-148 (2021)133Figure 3

Fiscal credibility loss in Colombia case (in )

CRED_LOSS Trend (HP Filter)

00

04

08

12

16

20

24

28

32

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authors elaboration Data from the Central Bank of Colombia

Credibility is theabilityofpolicymakers to inspireconfidenceand itcanhelpformexpectationsAccordingtoMishkin(2007)inflationtargetinginanenviron-mentof lowfiscalcredibilitycausesdifficulties inmanaging inflationexpecta-tionsandimpactstheeffectivenessofmonetarypolicyHencethebaselinemodelconsideredinourempiricalanalysisisasfollows

E(πt) =β1 + β2CRED_LOSSt +α3Xt + εt (3)

whereE(πt) is the annualized inflation expectationsCRED_LOSSt is thefiscalpolicycredibilitylossXtisavectorofexplanatoryvariablesandεtistheresidualterm

To observe an initial empirical relationship between inflation expectations andfiscalcredibilitylossascatterplotforbothvariablesispresentedinfigure4ThetheoreticalintuitionofapositiverelationshipbetweenbothvariablesisconfirmedThusabetterprojectionofthefiscaldeficitcanleadtoareductionininflationexpectations

Itisimportanttoverifywhetherthepublicinformationavailableonmacroeco-nomicandfinancialvariablesistakenintoconsiderationbytheagentsForthisitis useful touse themost recent data for inflation forecasts (MankiwReis andWolfers2003)Financialmarketvolatilityaffectstheperformanceofemergingeconomiesandindirectly theformationofexpectations(KennedyandPalerm2014)FortheColombiancasetheinternationaleconomyoutlookcausesvolatil-ityincapitalflowsandthebalanceofpaymentsthatcanimpactinflationexpecta-tionsThereforeweusebehaviouroftheSampP500stockmarketindex(VIXt-1)asourfirstexplanatoryvariableforinflationexpectations

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45 (1) 125-148 (2021)

134 Figure 4Inflation expectations and fiscal credibility loss in Colombia

CRED_LOSS (in )

Infla

tion

expe

ctat

ions

(in

)

25

30

35

40

45

50

55

60

00 04 08 12 16 20 24 28 32

Source Authors elaboration Data from the Central Bank of Colombia

Expectationsdependonpastinformationandeachagentinterpretstheavailableinformationinadifferentway(Roberts1997)Infacttheincreaseininflationexpectations can be attributed tobackward-looking behaviour (Dornbusch andFischer1993)Thereforepast inflation(πt-1) isusedas thesecondexplanatoryvariable

Inemergingeconomiesmovementsintheexchangerateimpactmarginalcostsandinflationforecasts(CelasunGelosandPrati2004)InparticulartheColom-bianeconomyhas an importantpass-throughof the exchange rate todomesticinflationthroughitscosteffectsThusasthethirdexplanatoryvariablethepastexchangerate(et-1)isused

AccordingtotheNeo-KeynesianPhillipsCurvemodelinflationexpectationsarerelatedtotheprofitmark-upovercostsThesemark-upchangesareafunctionofthe economic cycle (Woodford 2003) Thus we useGDP (yt-1) as the fourthexplanatoryvariableforinflationexpectations

OnthebasisofOkunrsquoslawitispossibletoestablisharelationshipbetweenoutputandthelabourmarketAccordinglyasanalternativemeasureoftheeconomythepast unemployment rate is used as the fifth explanatory variable for inflationexpectations(Ut-1)

Inshorttoanalysetheeffectoffiscalcredibilityoninflationexpectationsweusedanexplanatoryvariableassociatedwithexternalrisk(VIXt-1)twomeasuresasso-ciatedwithpastprices(πt-1 et-1)andtwomeasuresassociatedwitheconomicper-formance (yt-1 Ut-1)Thepast inflationexpectationsarealso incorporatedasanexplanatoryvariable(E(πt-1)) tocapturesomeinertiainexpectationsAdummyvariable (Dt) is also added to capture the possible effect of the 2007-2008

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45 (1) 125-148 (2021)135subprimecrisisThisdummytakesavalueof1fortheyear20081Thusthepos-

siblecombinationsofthesevariablesallowustopostulatethefollowingmodels

E(πt) =α0 + α1 E(πtndash1) + α2CRED_LOSSt +α3VIXtndash1 + α4πtndash1 + α5ytndash1 + α6Dt+ εt 0(4)

E(πt) =α7 + α8 E(πtndash1) + α9CRED_LOSSt +α10VIXtndash1 + α11etndash1 + α12ytndash1 + α13Dt+ εt 1(5)

E(πt) =α14 + α15 E(πtndash1) + α16CRED_LOSSt +α17VIXtndash1 + α18πtndash1 + α19Utndash1 + α20Dt+ εt 2 (6)

E(πt) =α21 + α22 E(πtndash1) + α23CRED_LOSSt +α24VIXtndash1 + α25etndash1 + α26Utndash1 + α27Dt+ εt 3(7)

Additionallyweestimatethefullmodelwithallthevariables

E(πt) =α28 + α29 E(πtndash1) + α30CRED_LOSSt +α31VIXtndash1 + α32πtndash1 + α33ytndash1 + α34etndash1 + α35Utndash1 + α36Dt+ εt

4 (8)

Theperiodunderconsideration is from2004-1 to2019-4 (quarterlydata)ThechoiceoftheperiodisduetodataavailabilityforthefiscaldeficitexpectedwhicharenecessarytobuildthecredibilityindexSeetableA1(appendix)forthesourcesofdataanddescriptionsofallvariablesusedinthestudy

4 EMPIRICAL EVIDENCEAsinpreviousliteraturetheuseoftimeseriesdatainestimationsentailsverify-ingwhetherunitrootsexistThereforebeforecarryingouttheestimationsofallmodelstheincreasedDickey-Fullerunitroottest(ADF)thePhillips-Perrontest(PP) and theKwiatkowski-Phillips-Schmidt-Shin (KPSS) stationarity testwereperformedTheresultsarepresentedintableA3(appendix)Basedontheresultsoftheteststhevariablestobeusedinequations(4)-(8)areI(1) andhavethesameorderofintegration

AccordingtoEngleandGranger(1981)itispossibletoestimatethemodelspro-posedifthereisastationarycombinationintheseriesCointegrationtestswereperformedfortheproposedmodelThechoiceofVARlagandtheinclusionofthedeterministiccomponentsofthecointegrationvectorwasmadeonthebasisoftheSchwarz criterion (Harris 1995)The cointegration test proposed by Johansen(1991)basedonthesignificanceoftheestimatedeigenvaluesindicatestheexist-enceofacointegrationvectorinthemodels(seetableA3appendix)Thusthemodelswere estimatedwith the series in levelswithout problems of spuriousregressions

1BesidethepresentedmodelswealsoestimatedmodelswithoutputgapreplacingGDPaswellasbyinclud-ingmorelagsofinflationTheobtainedresultswerenotstatisticallysignificantandareavailableuponrequest

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

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ILITY O

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FLATION

EXPEC

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S EV

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OM

AN

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OM

ICS

45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

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FLATION

EXPEC

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ICS

45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

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CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

IDEN

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OM

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

JUA

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EFFEC

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ILITY O

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

JUA

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EFFEC

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FLATION

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

JUA

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45 (1) 125-148 (2021)

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ICS

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25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

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27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

29HarrisR1995Using cointegration analysis in econometric modelingLon-donPrenticeHall

30HaunerDJonaacutešJandKumarM2007PolicyCredibilityandSovereignCreditTheCaseofthenewEUMemberStatesIMF Working PaperNo071Washing-tonInternationalMonetaryFundhttpsdoiorg1050899781451865653001

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34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 7: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)131commitmenttothesustainabilityofpublicfinancesAsaresultthereiscredibility

whenthegovernmentdoesnotusetheinflationtaxtofulfilitsobligations(HaunerJonasandKumar2007DebrunandKinda2017)

TomakecredibilitymeasurablethereareseveralproposalsAccordingtoDrazenandMasson(1994)credibilitycanbemeasuredbyagentsrsquoexpectationsregardingthefiscalresultsAnotherapproachisofferedbyNaert(2011)whopostulatesthatfiscalpolicyiscredibleifthereislittledifferencebetweenthecurrentlevelandtheprojectedlevelofsomefiscalmeasureThechallengeistodefinesomemeasureoffiscalperformanceonwhichagentsformexpectationsandmakeprojectionsBasedonDebrunandKinda(2017)fiscalperformancecanbemeasuredbytheoverallfiscaldeficitthatisbythedifferencebetweenexpendituresdebtserviceandtaxesHence

DEFt=Gt + rDtndash1ndashTt (1)

whereDEFtistheoverallfiscaldeficitGtisthepublicexpenditurerDtndash1isthepublicdebtinterestandTtisthetaxrevenuesAllthevariablesaredefinedasapercentageofthegrossdomesticproduct(GDP)

Anessentialpointregardingthecredibilityofeconomicpolicyispublicexpecta-tionAccordingtoCukiermanandMeltzer(1986)credibilitycanbemeasuredastheabsolutevalueofthedifferencebetweenthepolicymakerrsquosplansandthepub-licrsquosbeliefsaboutthoseplansMoreoverashighlightedbyFaustandSvensson(2001)credibilityisnegativelyrelatedtothedistancebetweenagentsrsquoexpecta-tions and the achievements of the policymaker FollowingHauner Jonas andKumar(2007)fiscalcredibilitycanbeapproximatedbythedifferencebetweenagentsrsquoexpectationsofthefiscaldeficit(E(DEFt))andthefiscaldeficitachievedbythegovernment(DEFt)Inotherwordsthegreaterthedifferencebetweentheobservedfiscaldeficitandagentsrsquoexpectationsthelessfiscalcredibilitythereisbecausethereisnoconvergenceinagentsrsquobeliefs

Fromthatperspectivethispaperusesacredibilitylossindicator(CRED_LOSS) that considers thedifferencesbetween theagentsrsquo expectationsabout thefiscaldeficitandtheoverallfiscaldeficitobserved(asanabsolutevalue)

CRED_LOSSt =|E(DEFt)ndashDEFt| (2)

whereE(DEF)isagentsrsquoexpectationsabouttheoverallfiscaldeficitandDEF is theoverallfiscaldeficitobservedThebehaviourofbothvariablesovertimeispresentedinfigure2TheagentsrsquoexpectationsregardingtheoverallfiscaldeficitareextractedfromthesurveyoftheCentralBankofColombiacalledldquoMacroeco-nomicProjectionsofLocalandForeignAnalystsˮInthissurveythecentralbankasksbrokerscommercialbankspension fundsacademic institutesand ratingagencies about the quarterly forecast of several macroeconomic variables

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45 (1) 125-148 (2021)

132 includingtheoverallfiscaldeficitThequarterlydataareavailablefrom2004(seeappendixtableA1)

The behaviour of both variables (DEF and E(DEF)) over time is presented infigure2belowItisobservedthatfrom2004to2008expectationsunderestimatedthe observedfiscal deficitThen since the endof 2008 expectations began togrowandwerelocatedclosetothefiscaldeficitsurpassingitin2010Between2010and2011thegovernmentadoptedafiscalruleontheprimaryfiscaldeficitandfromthenonexpectationsbegantofallFrom2012to2016therehasbeenanincreaseintheobservedfiscaldeficitandconsequentlyinexpectationsThisincreaseinvariablespeakedin2016Sincethentherehasbeenadropinboththeobserveddeficitandtheexpectations

Figure 2Fiscal deficit expectations and overall fiscal deficit observed in Colombia (in of GDP)

Overal fiscal deficit observed Fiscal deficit expectations

0

100

200

300

400

500

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authoracutes elaboration Data from the Central Bank of Colombia

Figure3showstheperformanceoffiscalcredibilityloss(CRED LOSS)from2004to2019inColombiaTheCRED LOSSindicatorshowsthattherewasuncertaintyaboutfiscalpolicyinthe2006-2008periodAsaresultfiscalcredibilitylosswashighinthatperiodOnceexpectationsbegantoapproachtheobserveddeficitthelossofcredibilityeasedandreachedalowof014in2011Q1AfterthiswebegantoobserveanunstablebehaviourofcredibilitylossDespitethisthetrendoftheseriesshowsthatthelossofcredibilitywasstablebetween2012and2019Forthefullperiod(2004-2019)thecredibilitylosswas09onaverage

SincetheseminalcontributionofKydlandandPrescott(1977)economictheoryhas assumed that an agents expectationsdependon thegovernmentrsquos crediblecommitmenttoanannouncedtargetInotherwordstheexpectedpathofthefiscaldeficitmattersfortheformationofinflationexpectationsInparticularwhenthereisnocommitmenttofiscalequilibriumgovernmentliabilitiesareensuredwithseigniorageandtheoutcomeisanincreaseinexpectedinflation(SargentandWal-lace1981)

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45 (1) 125-148 (2021)133Figure 3

Fiscal credibility loss in Colombia case (in )

CRED_LOSS Trend (HP Filter)

00

04

08

12

16

20

24

28

32

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authors elaboration Data from the Central Bank of Colombia

Credibility is theabilityofpolicymakers to inspireconfidenceand itcanhelpformexpectationsAccordingtoMishkin(2007)inflationtargetinginanenviron-mentof lowfiscalcredibilitycausesdifficulties inmanaging inflationexpecta-tionsandimpactstheeffectivenessofmonetarypolicyHencethebaselinemodelconsideredinourempiricalanalysisisasfollows

E(πt) =β1 + β2CRED_LOSSt +α3Xt + εt (3)

whereE(πt) is the annualized inflation expectationsCRED_LOSSt is thefiscalpolicycredibilitylossXtisavectorofexplanatoryvariablesandεtistheresidualterm

To observe an initial empirical relationship between inflation expectations andfiscalcredibilitylossascatterplotforbothvariablesispresentedinfigure4ThetheoreticalintuitionofapositiverelationshipbetweenbothvariablesisconfirmedThusabetterprojectionofthefiscaldeficitcanleadtoareductionininflationexpectations

Itisimportanttoverifywhetherthepublicinformationavailableonmacroeco-nomicandfinancialvariablesistakenintoconsiderationbytheagentsForthisitis useful touse themost recent data for inflation forecasts (MankiwReis andWolfers2003)Financialmarketvolatilityaffectstheperformanceofemergingeconomiesandindirectly theformationofexpectations(KennedyandPalerm2014)FortheColombiancasetheinternationaleconomyoutlookcausesvolatil-ityincapitalflowsandthebalanceofpaymentsthatcanimpactinflationexpecta-tionsThereforeweusebehaviouroftheSampP500stockmarketindex(VIXt-1)asourfirstexplanatoryvariableforinflationexpectations

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45 (1) 125-148 (2021)

134 Figure 4Inflation expectations and fiscal credibility loss in Colombia

CRED_LOSS (in )

Infla

tion

expe

ctat

ions

(in

)

25

30

35

40

45

50

55

60

00 04 08 12 16 20 24 28 32

Source Authors elaboration Data from the Central Bank of Colombia

Expectationsdependonpastinformationandeachagentinterpretstheavailableinformationinadifferentway(Roberts1997)Infacttheincreaseininflationexpectations can be attributed tobackward-looking behaviour (Dornbusch andFischer1993)Thereforepast inflation(πt-1) isusedas thesecondexplanatoryvariable

Inemergingeconomiesmovementsintheexchangerateimpactmarginalcostsandinflationforecasts(CelasunGelosandPrati2004)InparticulartheColom-bianeconomyhas an importantpass-throughof the exchange rate todomesticinflationthroughitscosteffectsThusasthethirdexplanatoryvariablethepastexchangerate(et-1)isused

AccordingtotheNeo-KeynesianPhillipsCurvemodelinflationexpectationsarerelatedtotheprofitmark-upovercostsThesemark-upchangesareafunctionofthe economic cycle (Woodford 2003) Thus we useGDP (yt-1) as the fourthexplanatoryvariableforinflationexpectations

OnthebasisofOkunrsquoslawitispossibletoestablisharelationshipbetweenoutputandthelabourmarketAccordinglyasanalternativemeasureoftheeconomythepast unemployment rate is used as the fifth explanatory variable for inflationexpectations(Ut-1)

Inshorttoanalysetheeffectoffiscalcredibilityoninflationexpectationsweusedanexplanatoryvariableassociatedwithexternalrisk(VIXt-1)twomeasuresasso-ciatedwithpastprices(πt-1 et-1)andtwomeasuresassociatedwitheconomicper-formance (yt-1 Ut-1)Thepast inflationexpectationsarealso incorporatedasanexplanatoryvariable(E(πt-1)) tocapturesomeinertiainexpectationsAdummyvariable (Dt) is also added to capture the possible effect of the 2007-2008

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45 (1) 125-148 (2021)135subprimecrisisThisdummytakesavalueof1fortheyear20081Thusthepos-

siblecombinationsofthesevariablesallowustopostulatethefollowingmodels

E(πt) =α0 + α1 E(πtndash1) + α2CRED_LOSSt +α3VIXtndash1 + α4πtndash1 + α5ytndash1 + α6Dt+ εt 0(4)

E(πt) =α7 + α8 E(πtndash1) + α9CRED_LOSSt +α10VIXtndash1 + α11etndash1 + α12ytndash1 + α13Dt+ εt 1(5)

E(πt) =α14 + α15 E(πtndash1) + α16CRED_LOSSt +α17VIXtndash1 + α18πtndash1 + α19Utndash1 + α20Dt+ εt 2 (6)

E(πt) =α21 + α22 E(πtndash1) + α23CRED_LOSSt +α24VIXtndash1 + α25etndash1 + α26Utndash1 + α27Dt+ εt 3(7)

Additionallyweestimatethefullmodelwithallthevariables

E(πt) =α28 + α29 E(πtndash1) + α30CRED_LOSSt +α31VIXtndash1 + α32πtndash1 + α33ytndash1 + α34etndash1 + α35Utndash1 + α36Dt+ εt

4 (8)

Theperiodunderconsideration is from2004-1 to2019-4 (quarterlydata)ThechoiceoftheperiodisduetodataavailabilityforthefiscaldeficitexpectedwhicharenecessarytobuildthecredibilityindexSeetableA1(appendix)forthesourcesofdataanddescriptionsofallvariablesusedinthestudy

4 EMPIRICAL EVIDENCEAsinpreviousliteraturetheuseoftimeseriesdatainestimationsentailsverify-ingwhetherunitrootsexistThereforebeforecarryingouttheestimationsofallmodelstheincreasedDickey-Fullerunitroottest(ADF)thePhillips-Perrontest(PP) and theKwiatkowski-Phillips-Schmidt-Shin (KPSS) stationarity testwereperformedTheresultsarepresentedintableA3(appendix)Basedontheresultsoftheteststhevariablestobeusedinequations(4)-(8)areI(1) andhavethesameorderofintegration

AccordingtoEngleandGranger(1981)itispossibletoestimatethemodelspro-posedifthereisastationarycombinationintheseriesCointegrationtestswereperformedfortheproposedmodelThechoiceofVARlagandtheinclusionofthedeterministiccomponentsofthecointegrationvectorwasmadeonthebasisoftheSchwarz criterion (Harris 1995)The cointegration test proposed by Johansen(1991)basedonthesignificanceoftheestimatedeigenvaluesindicatestheexist-enceofacointegrationvectorinthemodels(seetableA3appendix)Thusthemodelswere estimatedwith the series in levelswithout problems of spuriousregressions

1BesidethepresentedmodelswealsoestimatedmodelswithoutputgapreplacingGDPaswellasbyinclud-ingmorelagsofinflationTheobtainedresultswerenotstatisticallysignificantandareavailableuponrequest

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

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CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

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ICS

45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

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N C

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AacuteTEG

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EFFEC

TS OF FISC

AL R

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ILITY O

N IN

FLATION

EXPEC

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

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24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

29HarrisR1995Using cointegration analysis in econometric modelingLon-donPrenticeHall

30HaunerDJonaacutešJandKumarM2007PolicyCredibilityandSovereignCreditTheCaseofthenewEUMemberStatesIMF Working PaperNo071Washing-tonInternationalMonetaryFundhttpsdoiorg1050899781451865653001

31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

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144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

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39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

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AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

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54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 8: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)

132 includingtheoverallfiscaldeficitThequarterlydataareavailablefrom2004(seeappendixtableA1)

The behaviour of both variables (DEF and E(DEF)) over time is presented infigure2belowItisobservedthatfrom2004to2008expectationsunderestimatedthe observedfiscal deficitThen since the endof 2008 expectations began togrowandwerelocatedclosetothefiscaldeficitsurpassingitin2010Between2010and2011thegovernmentadoptedafiscalruleontheprimaryfiscaldeficitandfromthenonexpectationsbegantofallFrom2012to2016therehasbeenanincreaseintheobservedfiscaldeficitandconsequentlyinexpectationsThisincreaseinvariablespeakedin2016Sincethentherehasbeenadropinboththeobserveddeficitandtheexpectations

Figure 2Fiscal deficit expectations and overall fiscal deficit observed in Colombia (in of GDP)

Overal fiscal deficit observed Fiscal deficit expectations

0

100

200

300

400

500

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authoracutes elaboration Data from the Central Bank of Colombia

Figure3showstheperformanceoffiscalcredibilityloss(CRED LOSS)from2004to2019inColombiaTheCRED LOSSindicatorshowsthattherewasuncertaintyaboutfiscalpolicyinthe2006-2008periodAsaresultfiscalcredibilitylosswashighinthatperiodOnceexpectationsbegantoapproachtheobserveddeficitthelossofcredibilityeasedandreachedalowof014in2011Q1AfterthiswebegantoobserveanunstablebehaviourofcredibilitylossDespitethisthetrendoftheseriesshowsthatthelossofcredibilitywasstablebetween2012and2019Forthefullperiod(2004-2019)thecredibilitylosswas09onaverage

SincetheseminalcontributionofKydlandandPrescott(1977)economictheoryhas assumed that an agents expectationsdependon thegovernmentrsquos crediblecommitmenttoanannouncedtargetInotherwordstheexpectedpathofthefiscaldeficitmattersfortheformationofinflationexpectationsInparticularwhenthereisnocommitmenttofiscalequilibriumgovernmentliabilitiesareensuredwithseigniorageandtheoutcomeisanincreaseinexpectedinflation(SargentandWal-lace1981)

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45 (1) 125-148 (2021)133Figure 3

Fiscal credibility loss in Colombia case (in )

CRED_LOSS Trend (HP Filter)

00

04

08

12

16

20

24

28

32

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authors elaboration Data from the Central Bank of Colombia

Credibility is theabilityofpolicymakers to inspireconfidenceand itcanhelpformexpectationsAccordingtoMishkin(2007)inflationtargetinginanenviron-mentof lowfiscalcredibilitycausesdifficulties inmanaging inflationexpecta-tionsandimpactstheeffectivenessofmonetarypolicyHencethebaselinemodelconsideredinourempiricalanalysisisasfollows

E(πt) =β1 + β2CRED_LOSSt +α3Xt + εt (3)

whereE(πt) is the annualized inflation expectationsCRED_LOSSt is thefiscalpolicycredibilitylossXtisavectorofexplanatoryvariablesandεtistheresidualterm

To observe an initial empirical relationship between inflation expectations andfiscalcredibilitylossascatterplotforbothvariablesispresentedinfigure4ThetheoreticalintuitionofapositiverelationshipbetweenbothvariablesisconfirmedThusabetterprojectionofthefiscaldeficitcanleadtoareductionininflationexpectations

Itisimportanttoverifywhetherthepublicinformationavailableonmacroeco-nomicandfinancialvariablesistakenintoconsiderationbytheagentsForthisitis useful touse themost recent data for inflation forecasts (MankiwReis andWolfers2003)Financialmarketvolatilityaffectstheperformanceofemergingeconomiesandindirectly theformationofexpectations(KennedyandPalerm2014)FortheColombiancasetheinternationaleconomyoutlookcausesvolatil-ityincapitalflowsandthebalanceofpaymentsthatcanimpactinflationexpecta-tionsThereforeweusebehaviouroftheSampP500stockmarketindex(VIXt-1)asourfirstexplanatoryvariableforinflationexpectations

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45 (1) 125-148 (2021)

134 Figure 4Inflation expectations and fiscal credibility loss in Colombia

CRED_LOSS (in )

Infla

tion

expe

ctat

ions

(in

)

25

30

35

40

45

50

55

60

00 04 08 12 16 20 24 28 32

Source Authors elaboration Data from the Central Bank of Colombia

Expectationsdependonpastinformationandeachagentinterpretstheavailableinformationinadifferentway(Roberts1997)Infacttheincreaseininflationexpectations can be attributed tobackward-looking behaviour (Dornbusch andFischer1993)Thereforepast inflation(πt-1) isusedas thesecondexplanatoryvariable

Inemergingeconomiesmovementsintheexchangerateimpactmarginalcostsandinflationforecasts(CelasunGelosandPrati2004)InparticulartheColom-bianeconomyhas an importantpass-throughof the exchange rate todomesticinflationthroughitscosteffectsThusasthethirdexplanatoryvariablethepastexchangerate(et-1)isused

AccordingtotheNeo-KeynesianPhillipsCurvemodelinflationexpectationsarerelatedtotheprofitmark-upovercostsThesemark-upchangesareafunctionofthe economic cycle (Woodford 2003) Thus we useGDP (yt-1) as the fourthexplanatoryvariableforinflationexpectations

OnthebasisofOkunrsquoslawitispossibletoestablisharelationshipbetweenoutputandthelabourmarketAccordinglyasanalternativemeasureoftheeconomythepast unemployment rate is used as the fifth explanatory variable for inflationexpectations(Ut-1)

Inshorttoanalysetheeffectoffiscalcredibilityoninflationexpectationsweusedanexplanatoryvariableassociatedwithexternalrisk(VIXt-1)twomeasuresasso-ciatedwithpastprices(πt-1 et-1)andtwomeasuresassociatedwitheconomicper-formance (yt-1 Ut-1)Thepast inflationexpectationsarealso incorporatedasanexplanatoryvariable(E(πt-1)) tocapturesomeinertiainexpectationsAdummyvariable (Dt) is also added to capture the possible effect of the 2007-2008

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45 (1) 125-148 (2021)135subprimecrisisThisdummytakesavalueof1fortheyear20081Thusthepos-

siblecombinationsofthesevariablesallowustopostulatethefollowingmodels

E(πt) =α0 + α1 E(πtndash1) + α2CRED_LOSSt +α3VIXtndash1 + α4πtndash1 + α5ytndash1 + α6Dt+ εt 0(4)

E(πt) =α7 + α8 E(πtndash1) + α9CRED_LOSSt +α10VIXtndash1 + α11etndash1 + α12ytndash1 + α13Dt+ εt 1(5)

E(πt) =α14 + α15 E(πtndash1) + α16CRED_LOSSt +α17VIXtndash1 + α18πtndash1 + α19Utndash1 + α20Dt+ εt 2 (6)

E(πt) =α21 + α22 E(πtndash1) + α23CRED_LOSSt +α24VIXtndash1 + α25etndash1 + α26Utndash1 + α27Dt+ εt 3(7)

Additionallyweestimatethefullmodelwithallthevariables

E(πt) =α28 + α29 E(πtndash1) + α30CRED_LOSSt +α31VIXtndash1 + α32πtndash1 + α33ytndash1 + α34etndash1 + α35Utndash1 + α36Dt+ εt

4 (8)

Theperiodunderconsideration is from2004-1 to2019-4 (quarterlydata)ThechoiceoftheperiodisduetodataavailabilityforthefiscaldeficitexpectedwhicharenecessarytobuildthecredibilityindexSeetableA1(appendix)forthesourcesofdataanddescriptionsofallvariablesusedinthestudy

4 EMPIRICAL EVIDENCEAsinpreviousliteraturetheuseoftimeseriesdatainestimationsentailsverify-ingwhetherunitrootsexistThereforebeforecarryingouttheestimationsofallmodelstheincreasedDickey-Fullerunitroottest(ADF)thePhillips-Perrontest(PP) and theKwiatkowski-Phillips-Schmidt-Shin (KPSS) stationarity testwereperformedTheresultsarepresentedintableA3(appendix)Basedontheresultsoftheteststhevariablestobeusedinequations(4)-(8)areI(1) andhavethesameorderofintegration

AccordingtoEngleandGranger(1981)itispossibletoestimatethemodelspro-posedifthereisastationarycombinationintheseriesCointegrationtestswereperformedfortheproposedmodelThechoiceofVARlagandtheinclusionofthedeterministiccomponentsofthecointegrationvectorwasmadeonthebasisoftheSchwarz criterion (Harris 1995)The cointegration test proposed by Johansen(1991)basedonthesignificanceoftheestimatedeigenvaluesindicatestheexist-enceofacointegrationvectorinthemodels(seetableA3appendix)Thusthemodelswere estimatedwith the series in levelswithout problems of spuriousregressions

1BesidethepresentedmodelswealsoestimatedmodelswithoutputgapreplacingGDPaswellasbyinclud-ingmorelagsofinflationTheobtainedresultswerenotstatisticallysignificantandareavailableuponrequest

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

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45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

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24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

29HarrisR1995Using cointegration analysis in econometric modelingLon-donPrenticeHall

30HaunerDJonaacutešJandKumarM2007PolicyCredibilityandSovereignCreditTheCaseofthenewEUMemberStatesIMF Working PaperNo071Washing-tonInternationalMonetaryFundhttpsdoiorg1050899781451865653001

31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

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45 (1) 125-148 (2021)

144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

35KlyuevVandSnuddenS2011EffectsoffiscalconsolidationintheCzechRepublicCzech Journal of Economics and Finance 61(4) pp 306-326httpsdoiorg1050899781455228058001

36KuncoroH2015DoestheCredibleFiscalPolicySupportthePricesStabi-lizationReview of Economic Perspectives 15(2)pp137-156httpsdoi101515revecp-2015-0014

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39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

45MontesGandSouzaI2020SovereigndefaultriskdebtuncertaintyandfiscalcredibilityThecaseofBrazilThe North American Journal of Econom-ics and Finance51(C)pp1-26httpsdoiorg101016jnajef201809009

46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

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45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 9: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)133Figure 3

Fiscal credibility loss in Colombia case (in )

CRED_LOSS Trend (HP Filter)

00

04

08

12

16

20

24

28

32

2004 20062005 20082007 2009 2010 20122011 20142013 20162015 20182017 2019

Source Authors elaboration Data from the Central Bank of Colombia

Credibility is theabilityofpolicymakers to inspireconfidenceand itcanhelpformexpectationsAccordingtoMishkin(2007)inflationtargetinginanenviron-mentof lowfiscalcredibilitycausesdifficulties inmanaging inflationexpecta-tionsandimpactstheeffectivenessofmonetarypolicyHencethebaselinemodelconsideredinourempiricalanalysisisasfollows

E(πt) =β1 + β2CRED_LOSSt +α3Xt + εt (3)

whereE(πt) is the annualized inflation expectationsCRED_LOSSt is thefiscalpolicycredibilitylossXtisavectorofexplanatoryvariablesandεtistheresidualterm

To observe an initial empirical relationship between inflation expectations andfiscalcredibilitylossascatterplotforbothvariablesispresentedinfigure4ThetheoreticalintuitionofapositiverelationshipbetweenbothvariablesisconfirmedThusabetterprojectionofthefiscaldeficitcanleadtoareductionininflationexpectations

Itisimportanttoverifywhetherthepublicinformationavailableonmacroeco-nomicandfinancialvariablesistakenintoconsiderationbytheagentsForthisitis useful touse themost recent data for inflation forecasts (MankiwReis andWolfers2003)Financialmarketvolatilityaffectstheperformanceofemergingeconomiesandindirectly theformationofexpectations(KennedyandPalerm2014)FortheColombiancasetheinternationaleconomyoutlookcausesvolatil-ityincapitalflowsandthebalanceofpaymentsthatcanimpactinflationexpecta-tionsThereforeweusebehaviouroftheSampP500stockmarketindex(VIXt-1)asourfirstexplanatoryvariableforinflationexpectations

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45 (1) 125-148 (2021)

134 Figure 4Inflation expectations and fiscal credibility loss in Colombia

CRED_LOSS (in )

Infla

tion

expe

ctat

ions

(in

)

25

30

35

40

45

50

55

60

00 04 08 12 16 20 24 28 32

Source Authors elaboration Data from the Central Bank of Colombia

Expectationsdependonpastinformationandeachagentinterpretstheavailableinformationinadifferentway(Roberts1997)Infacttheincreaseininflationexpectations can be attributed tobackward-looking behaviour (Dornbusch andFischer1993)Thereforepast inflation(πt-1) isusedas thesecondexplanatoryvariable

Inemergingeconomiesmovementsintheexchangerateimpactmarginalcostsandinflationforecasts(CelasunGelosandPrati2004)InparticulartheColom-bianeconomyhas an importantpass-throughof the exchange rate todomesticinflationthroughitscosteffectsThusasthethirdexplanatoryvariablethepastexchangerate(et-1)isused

AccordingtotheNeo-KeynesianPhillipsCurvemodelinflationexpectationsarerelatedtotheprofitmark-upovercostsThesemark-upchangesareafunctionofthe economic cycle (Woodford 2003) Thus we useGDP (yt-1) as the fourthexplanatoryvariableforinflationexpectations

OnthebasisofOkunrsquoslawitispossibletoestablisharelationshipbetweenoutputandthelabourmarketAccordinglyasanalternativemeasureoftheeconomythepast unemployment rate is used as the fifth explanatory variable for inflationexpectations(Ut-1)

Inshorttoanalysetheeffectoffiscalcredibilityoninflationexpectationsweusedanexplanatoryvariableassociatedwithexternalrisk(VIXt-1)twomeasuresasso-ciatedwithpastprices(πt-1 et-1)andtwomeasuresassociatedwitheconomicper-formance (yt-1 Ut-1)Thepast inflationexpectationsarealso incorporatedasanexplanatoryvariable(E(πt-1)) tocapturesomeinertiainexpectationsAdummyvariable (Dt) is also added to capture the possible effect of the 2007-2008

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45 (1) 125-148 (2021)135subprimecrisisThisdummytakesavalueof1fortheyear20081Thusthepos-

siblecombinationsofthesevariablesallowustopostulatethefollowingmodels

E(πt) =α0 + α1 E(πtndash1) + α2CRED_LOSSt +α3VIXtndash1 + α4πtndash1 + α5ytndash1 + α6Dt+ εt 0(4)

E(πt) =α7 + α8 E(πtndash1) + α9CRED_LOSSt +α10VIXtndash1 + α11etndash1 + α12ytndash1 + α13Dt+ εt 1(5)

E(πt) =α14 + α15 E(πtndash1) + α16CRED_LOSSt +α17VIXtndash1 + α18πtndash1 + α19Utndash1 + α20Dt+ εt 2 (6)

E(πt) =α21 + α22 E(πtndash1) + α23CRED_LOSSt +α24VIXtndash1 + α25etndash1 + α26Utndash1 + α27Dt+ εt 3(7)

Additionallyweestimatethefullmodelwithallthevariables

E(πt) =α28 + α29 E(πtndash1) + α30CRED_LOSSt +α31VIXtndash1 + α32πtndash1 + α33ytndash1 + α34etndash1 + α35Utndash1 + α36Dt+ εt

4 (8)

Theperiodunderconsideration is from2004-1 to2019-4 (quarterlydata)ThechoiceoftheperiodisduetodataavailabilityforthefiscaldeficitexpectedwhicharenecessarytobuildthecredibilityindexSeetableA1(appendix)forthesourcesofdataanddescriptionsofallvariablesusedinthestudy

4 EMPIRICAL EVIDENCEAsinpreviousliteraturetheuseoftimeseriesdatainestimationsentailsverify-ingwhetherunitrootsexistThereforebeforecarryingouttheestimationsofallmodelstheincreasedDickey-Fullerunitroottest(ADF)thePhillips-Perrontest(PP) and theKwiatkowski-Phillips-Schmidt-Shin (KPSS) stationarity testwereperformedTheresultsarepresentedintableA3(appendix)Basedontheresultsoftheteststhevariablestobeusedinequations(4)-(8)areI(1) andhavethesameorderofintegration

AccordingtoEngleandGranger(1981)itispossibletoestimatethemodelspro-posedifthereisastationarycombinationintheseriesCointegrationtestswereperformedfortheproposedmodelThechoiceofVARlagandtheinclusionofthedeterministiccomponentsofthecointegrationvectorwasmadeonthebasisoftheSchwarz criterion (Harris 1995)The cointegration test proposed by Johansen(1991)basedonthesignificanceoftheestimatedeigenvaluesindicatestheexist-enceofacointegrationvectorinthemodels(seetableA3appendix)Thusthemodelswere estimatedwith the series in levelswithout problems of spuriousregressions

1BesidethepresentedmodelswealsoestimatedmodelswithoutputgapreplacingGDPaswellasbyinclud-ingmorelagsofinflationTheobtainedresultswerenotstatisticallysignificantandareavailableuponrequest

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

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45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

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37KydlandFandPrescottE1977RulesRatherthanDiscretiontheIncon-sistencyofOptimalPlansJournal of Political Economy85(3)pp473-492httpsdoi101086260580

38LinSandYeH2009Doesinflationtargetingmakeadifferenceindevel-oping countries Journal of Development Economics 89(1) pp 118-123httpsdoiorg101016jjdeveco200804006

39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

45MontesGandSouzaI2020SovereigndefaultriskdebtuncertaintyandfiscalcredibilityThecaseofBrazilThe North American Journal of Econom-ics and Finance51(C)pp1-26httpsdoiorg101016jnajef201809009

46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

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45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 10: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)

134 Figure 4Inflation expectations and fiscal credibility loss in Colombia

CRED_LOSS (in )

Infla

tion

expe

ctat

ions

(in

)

25

30

35

40

45

50

55

60

00 04 08 12 16 20 24 28 32

Source Authors elaboration Data from the Central Bank of Colombia

Expectationsdependonpastinformationandeachagentinterpretstheavailableinformationinadifferentway(Roberts1997)Infacttheincreaseininflationexpectations can be attributed tobackward-looking behaviour (Dornbusch andFischer1993)Thereforepast inflation(πt-1) isusedas thesecondexplanatoryvariable

Inemergingeconomiesmovementsintheexchangerateimpactmarginalcostsandinflationforecasts(CelasunGelosandPrati2004)InparticulartheColom-bianeconomyhas an importantpass-throughof the exchange rate todomesticinflationthroughitscosteffectsThusasthethirdexplanatoryvariablethepastexchangerate(et-1)isused

AccordingtotheNeo-KeynesianPhillipsCurvemodelinflationexpectationsarerelatedtotheprofitmark-upovercostsThesemark-upchangesareafunctionofthe economic cycle (Woodford 2003) Thus we useGDP (yt-1) as the fourthexplanatoryvariableforinflationexpectations

OnthebasisofOkunrsquoslawitispossibletoestablisharelationshipbetweenoutputandthelabourmarketAccordinglyasanalternativemeasureoftheeconomythepast unemployment rate is used as the fifth explanatory variable for inflationexpectations(Ut-1)

Inshorttoanalysetheeffectoffiscalcredibilityoninflationexpectationsweusedanexplanatoryvariableassociatedwithexternalrisk(VIXt-1)twomeasuresasso-ciatedwithpastprices(πt-1 et-1)andtwomeasuresassociatedwitheconomicper-formance (yt-1 Ut-1)Thepast inflationexpectationsarealso incorporatedasanexplanatoryvariable(E(πt-1)) tocapturesomeinertiainexpectationsAdummyvariable (Dt) is also added to capture the possible effect of the 2007-2008

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45 (1) 125-148 (2021)135subprimecrisisThisdummytakesavalueof1fortheyear20081Thusthepos-

siblecombinationsofthesevariablesallowustopostulatethefollowingmodels

E(πt) =α0 + α1 E(πtndash1) + α2CRED_LOSSt +α3VIXtndash1 + α4πtndash1 + α5ytndash1 + α6Dt+ εt 0(4)

E(πt) =α7 + α8 E(πtndash1) + α9CRED_LOSSt +α10VIXtndash1 + α11etndash1 + α12ytndash1 + α13Dt+ εt 1(5)

E(πt) =α14 + α15 E(πtndash1) + α16CRED_LOSSt +α17VIXtndash1 + α18πtndash1 + α19Utndash1 + α20Dt+ εt 2 (6)

E(πt) =α21 + α22 E(πtndash1) + α23CRED_LOSSt +α24VIXtndash1 + α25etndash1 + α26Utndash1 + α27Dt+ εt 3(7)

Additionallyweestimatethefullmodelwithallthevariables

E(πt) =α28 + α29 E(πtndash1) + α30CRED_LOSSt +α31VIXtndash1 + α32πtndash1 + α33ytndash1 + α34etndash1 + α35Utndash1 + α36Dt+ εt

4 (8)

Theperiodunderconsideration is from2004-1 to2019-4 (quarterlydata)ThechoiceoftheperiodisduetodataavailabilityforthefiscaldeficitexpectedwhicharenecessarytobuildthecredibilityindexSeetableA1(appendix)forthesourcesofdataanddescriptionsofallvariablesusedinthestudy

4 EMPIRICAL EVIDENCEAsinpreviousliteraturetheuseoftimeseriesdatainestimationsentailsverify-ingwhetherunitrootsexistThereforebeforecarryingouttheestimationsofallmodelstheincreasedDickey-Fullerunitroottest(ADF)thePhillips-Perrontest(PP) and theKwiatkowski-Phillips-Schmidt-Shin (KPSS) stationarity testwereperformedTheresultsarepresentedintableA3(appendix)Basedontheresultsoftheteststhevariablestobeusedinequations(4)-(8)areI(1) andhavethesameorderofintegration

AccordingtoEngleandGranger(1981)itispossibletoestimatethemodelspro-posedifthereisastationarycombinationintheseriesCointegrationtestswereperformedfortheproposedmodelThechoiceofVARlagandtheinclusionofthedeterministiccomponentsofthecointegrationvectorwasmadeonthebasisoftheSchwarz criterion (Harris 1995)The cointegration test proposed by Johansen(1991)basedonthesignificanceoftheestimatedeigenvaluesindicatestheexist-enceofacointegrationvectorinthemodels(seetableA3appendix)Thusthemodelswere estimatedwith the series in levelswithout problems of spuriousregressions

1BesidethepresentedmodelswealsoestimatedmodelswithoutputgapreplacingGDPaswellasbyinclud-ingmorelagsofinflationTheobtainedresultswerenotstatisticallysignificantandareavailableuponrequest

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

JUA

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EXPEC

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45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

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30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

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24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

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31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

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144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

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34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

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39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

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54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 11: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)135subprimecrisisThisdummytakesavalueof1fortheyear20081Thusthepos-

siblecombinationsofthesevariablesallowustopostulatethefollowingmodels

E(πt) =α0 + α1 E(πtndash1) + α2CRED_LOSSt +α3VIXtndash1 + α4πtndash1 + α5ytndash1 + α6Dt+ εt 0(4)

E(πt) =α7 + α8 E(πtndash1) + α9CRED_LOSSt +α10VIXtndash1 + α11etndash1 + α12ytndash1 + α13Dt+ εt 1(5)

E(πt) =α14 + α15 E(πtndash1) + α16CRED_LOSSt +α17VIXtndash1 + α18πtndash1 + α19Utndash1 + α20Dt+ εt 2 (6)

E(πt) =α21 + α22 E(πtndash1) + α23CRED_LOSSt +α24VIXtndash1 + α25etndash1 + α26Utndash1 + α27Dt+ εt 3(7)

Additionallyweestimatethefullmodelwithallthevariables

E(πt) =α28 + α29 E(πtndash1) + α30CRED_LOSSt +α31VIXtndash1 + α32πtndash1 + α33ytndash1 + α34etndash1 + α35Utndash1 + α36Dt+ εt

4 (8)

Theperiodunderconsideration is from2004-1 to2019-4 (quarterlydata)ThechoiceoftheperiodisduetodataavailabilityforthefiscaldeficitexpectedwhicharenecessarytobuildthecredibilityindexSeetableA1(appendix)forthesourcesofdataanddescriptionsofallvariablesusedinthestudy

4 EMPIRICAL EVIDENCEAsinpreviousliteraturetheuseoftimeseriesdatainestimationsentailsverify-ingwhetherunitrootsexistThereforebeforecarryingouttheestimationsofallmodelstheincreasedDickey-Fullerunitroottest(ADF)thePhillips-Perrontest(PP) and theKwiatkowski-Phillips-Schmidt-Shin (KPSS) stationarity testwereperformedTheresultsarepresentedintableA3(appendix)Basedontheresultsoftheteststhevariablestobeusedinequations(4)-(8)areI(1) andhavethesameorderofintegration

AccordingtoEngleandGranger(1981)itispossibletoestimatethemodelspro-posedifthereisastationarycombinationintheseriesCointegrationtestswereperformedfortheproposedmodelThechoiceofVARlagandtheinclusionofthedeterministiccomponentsofthecointegrationvectorwasmadeonthebasisoftheSchwarz criterion (Harris 1995)The cointegration test proposed by Johansen(1991)basedonthesignificanceoftheestimatedeigenvaluesindicatestheexist-enceofacointegrationvectorinthemodels(seetableA3appendix)Thusthemodelswere estimatedwith the series in levelswithout problems of spuriousregressions

1BesidethepresentedmodelswealsoestimatedmodelswithoutputgapreplacingGDPaswellasbyinclud-ingmorelagsofinflationTheobtainedresultswerenotstatisticallysignificantandareavailableuponrequest

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

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45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

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144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

35KlyuevVandSnuddenS2011EffectsoffiscalconsolidationintheCzechRepublicCzech Journal of Economics and Finance 61(4) pp 306-326httpsdoiorg1050899781455228058001

36KuncoroH2015DoestheCredibleFiscalPolicySupportthePricesStabi-lizationReview of Economic Perspectives 15(2)pp137-156httpsdoi101515revecp-2015-0014

37KydlandFandPrescottE1977RulesRatherthanDiscretiontheIncon-sistencyofOptimalPlansJournal of Political Economy85(3)pp473-492httpsdoi101086260580

38LinSandYeH2009Doesinflationtargetingmakeadifferenceindevel-oping countries Journal of Development Economics 89(1) pp 118-123httpsdoiorg101016jjdeveco200804006

39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

45MontesGandSouzaI2020SovereigndefaultriskdebtuncertaintyandfiscalcredibilityThecaseofBrazilThe North American Journal of Econom-ics and Finance51(C)pp1-26httpsdoiorg101016jnajef201809009

46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

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45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 12: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)

136

Ta

bl

e 1

Infla

tion

expe

ctat

ions

det

erm

inan

ts in

Col

ombi

a

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Constant

08989

(02031)

[44248]

00362

(02488)

[01455]

06253

(02608)

[23970]

09408

(02767)

[33991]

06288

(03236)

[19629]

09959

(02499)

[39840]

03482

(01554)

[22405]

06309

(01903)

[33140]

09878

(01745)

[56591]

10719

(03441)

[31124]

E(π t-1

)06092

(00851)

[71545]

08396

(00593)

[141422]

03724

(01189)

[31319]

08238

(00504)

[163314]

04751

(01174)

[40448]

05825

(01077)

[54078]

07714

(00450)

[171204]

03668

(00840)

[43202]

07946

(00366)

[217099]

04685

(00597)

[78414]

CRE

D L

OSS

t

01054

(00412)

[25584]

01133

(00478)

[24474]

00947

(00402)

[23528]

01269

(00436)

[29071]

00915

(00411)

[22243]

01052

(00371)

[28319]

00959

(00317)

[30221]

00972

(00458)

[21210]

01213

(00312)

[38856]

00994

(00249)

[39793]

VIX t-1

00001

(00038)

[00315]

00033

(00044)

[07421]

00040

(00036)

[11140]

00047

(00038)

[12400]

00017

(00037)

[04600]

00003

(00021)

[01541]

00044

(00042)

[10539]

00022

(00029)

[07648]

00057

(00026)

[21536]

00004

(00024)

[01691]

π t-1

00979

(00277)

[35290]

01677

(00397)

[42245]

01334

(00408)

[32657]

01053

(00312)

[33666]

01600

(00252)

[63330]

01405

(00178)

[78799]

e t-1

00001

(660E-05)

[20913]

00003

(00001)

[19674]

00002

(00001)

[19534]

984E-05

(566E-05)

[17388]

00005

(00002)

[22540]

00001

(663E-05)

[19117]

y t-1

42515

(23130)

[18380]

52183

(26785)

[19681]

52481

(23384)

[22442]

33457

(09125)

[36661]

56147

(14500)

[38720]

36543

(09729)

[37558]

Ut-1

00969

(00427)

[22690]

00503

(00289)

[17391]

01257

(00608)

[21095]

00962

(00440)

[23806]

00472

(00185)

[25415]

00989

(00347)

[28453]

JUA

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EXPEC

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45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

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14DeMendonccedilaHFandDaSilvaR2016ObservingtheinfluenceoffiscalcredibilityoninflationEvidencefromanemergingeconomyEconomics Bul-letin36(4)pp2333-2349

15DeMendonccedilaHFandMachadoMR2013PublicDebtManagementandCredibility Evidence from an emerging economy Economic Modelling30(1)pp10-21httpsdoiorg101016jeconmod201209009

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ICS

45 (1) 125-148 (2021)14316DeMendonccedilaHFandTostesFS2015Theeffectofmonetaryandfiscal

credibilityonexchangeratepass-throughinanemergingeconomyOpen Econ-omies Review26(4)787-816httpsdoiorg101007s11079-014-9339-3

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18DebrunXandKindaT2017StrengtheningPost-CrisisFiscalCredibilityFiscalCouncilsontheRisendashANewDatasetFiscal Studies38(4)pp667-700httpsdoiorg1011111475-589012130

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20DrazenAandMassonPR1994Credibilityofpoliciesversuscredibilityof policymakers Quarterly Journal of Economics 109(3) pp 735-754httpsdoi1023072118420

21EngleRFandGrangerCWJ1987CointegrationanderrorcorrectionRepresentation estimation and testingEconometrica 55(2) pp 251-276httpsdoi1023071913236

22FataacutesAandMihovI2003TheCaseforRestrictingFiscalPolicyDiscre-tionQuarterly Journal of Economics 118(4) pp 1419-1447 httpsdoi101162003355303322552838

23FaustJandSvenssonL2001Transparencyandcredibilitymonetarypol-icywithunobservablegoalsInternational Economic Review 42(2)pp369-397httpsdoiorg1011111468-235400114

24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

29HarrisR1995Using cointegration analysis in econometric modelingLon-donPrenticeHall

30HaunerDJonaacutešJandKumarM2007PolicyCredibilityandSovereignCreditTheCaseofthenewEUMemberStatesIMF Working PaperNo071Washing-tonInternationalMonetaryFundhttpsdoiorg1050899781451865653001

31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

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45 (1) 125-148 (2021)

144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

35KlyuevVandSnuddenS2011EffectsoffiscalconsolidationintheCzechRepublicCzech Journal of Economics and Finance 61(4) pp 306-326httpsdoiorg1050899781455228058001

36KuncoroH2015DoestheCredibleFiscalPolicySupportthePricesStabi-lizationReview of Economic Perspectives 15(2)pp137-156httpsdoi101515revecp-2015-0014

37KydlandFandPrescottE1977RulesRatherthanDiscretiontheIncon-sistencyofOptimalPlansJournal of Political Economy85(3)pp473-492httpsdoi101086260580

38LinSandYeH2009Doesinflationtargetingmakeadifferenceindevel-oping countries Journal of Development Economics 89(1) pp 118-123httpsdoiorg101016jjdeveco200804006

39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

45MontesGandSouzaI2020SovereigndefaultriskdebtuncertaintyandfiscalcredibilityThecaseofBrazilThe North American Journal of Econom-ics and Finance51(C)pp1-26httpsdoiorg101016jnajef201809009

46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

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45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 13: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)137

OL

SG

MM

minusHA

CD

epen

dent

var

iabl

e

E(π

)M

odel

(1)

Mod

el (2

)M

odel

(3)

Mod

el (4

)M

odel

(5)

Mod

el (1

)M

odel

(2)

Mod

el (3

)M

odel

(4)

Mod

el (5

)

Dt

08585

(01993)

[43064]

-02435

(02559)

[-09517]

08723

(01858)

[46937]

09731

(02023)

[48087]

09283

(01967)

[47174]

09354

(03533)

[26475]

02069

(03345)

[06163]

07943

(02019)

[35744]

10797

(03648)

[33984]

11167

(03112)

[35882]

R2 ad

j091

087

092

091

092

091

085

089

089

091

F-statistic

8705

6583

10759

9742

3557

Prob(F-Stat)

000

000

000

000

000

LMtest(1)

093

139

204

137

2151

p-value(LMTest)

040

025

014

026

000

Breusch-Pagan-Godfrey

test

060

096

067

139

179

p-value(B-P-Gtest)

072

046

066

023

014

J-statistic

487

521

239

850

379

Prob(J-stat)

056

039

066

020

070

Instruments

13

12

11

13

15

NinstrNobs

020

019

017

020

023

Not

e M

argi

nal s

igni

fican

ce le

vels

(

) d

enot

es 0

01

()

den

otes

00

5 a

nd (

) den

otes

01

0 S

tand

ard

erro

rs a

re in

par

enth

eses

and

t-st

atis

tics i

n br

acke

ts P

(F-s

tatis

tic)

repo

rt th

e re

spec

tive

p-va

lue

of th

e F-

test

P(J

-sta

tistic

) rep

ort t

he re

spec

tive

p-va

lued

of t

he J

-test

The

list

of G

MM

inst

rum

ents

are

pre

sent

ed in

tabl

e A6

(app

endi

x)

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

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24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

29HarrisR1995Using cointegration analysis in econometric modelingLon-donPrenticeHall

30HaunerDJonaacutešJandKumarM2007PolicyCredibilityandSovereignCreditTheCaseofthenewEUMemberStatesIMF Working PaperNo071Washing-tonInternationalMonetaryFundhttpsdoiorg1050899781451865653001

31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

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144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

35KlyuevVandSnuddenS2011EffectsoffiscalconsolidationintheCzechRepublicCzech Journal of Economics and Finance 61(4) pp 306-326httpsdoiorg1050899781455228058001

36KuncoroH2015DoestheCredibleFiscalPolicySupportthePricesStabi-lizationReview of Economic Perspectives 15(2)pp137-156httpsdoi101515revecp-2015-0014

37KydlandFandPrescottE1977RulesRatherthanDiscretiontheIncon-sistencyofOptimalPlansJournal of Political Economy85(3)pp473-492httpsdoi101086260580

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39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

45MontesGandSouzaI2020SovereigndefaultriskdebtuncertaintyandfiscalcredibilityThecaseofBrazilThe North American Journal of Econom-ics and Finance51(C)pp1-26httpsdoiorg101016jnajef201809009

46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

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45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 14: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)

138 The equations abovewere estimated usingOrdinaryLeast Squares (OLS) andGeneralizedMethodofMoments (GMM) In thecaseof themodelsestimatedwith OLS tests of autocorrelation (LM test) and heteroscedasticity (Breuch-Pagan-Godfreytest)wereappliedtovalidatetheestimatesAccordingtoHansen(1982)themainreasonforusingtheGMMmethodisbecauseendogeneityandautocorrelation problems may exist which will invalidate the OLS estimatesGiventhisinGMMestimatestheinstrumentschosenwerelaggedforatleastoneperiodAccordingtoWooldridge(2001)toobtainefficientestimationswiththeGMMmethodoveridentificationrestrictionsarenecessaryInthissensetheJtestwasappliedTheestimationsofequations(4)-(8)arepresentedintable1

The results of the estimates show the expected signTheparameter associatedwithpastexpectations(E(πt-1))ispositiveandsignificantInflationexpectationspresentsomeinertiawiththeexpectationsofthepastperiodThatisthereissomeevidencethatexpectationsareadaptiveandagentslearnslowlyAsimilarresultisreportedbyMankiwReisandWolfers(2003)

Thecoefficientassociatedwithfiscalcredibilityloss(CRED LOSS)ispositiveandstatisticallysignificantinallmodelsThetheoreticalintuitionthatthefiscalpolicystancehasbeenimportant inshapinginflationexpectations isconfirmedThuswhenconfidencegrowsaboutthegovernmentrsquoscommitmenttofiscalsustainabil-ity theexpected inflationdecreasesTheevidencesupports the theoreticalper-spectiveofSargentandWallace(1981)andthefindingsconfirmthattheloweruncertaintyabouttheexpectedfiscaldeficitandthereforegreaterfiscalcredibil-ity matter for inflation expectations Similar results are reported by Kuncoro(2015)CerisolaandGeros(2009)andCelasunGelosandPrati(2004)

Withtheresultsintable1wecalculatedthatanincreaseofoneunit inCRED LOSScanboostinflationexpectationsinarangethatvariesbetween915and12Forexampleifinflationexpectationsareat3anincreaseofoneunitinCRED LOSS can increaseexpectations toa rangebetween327and3362 ThereforeaccordingtoCelasunGelosandPrati(2004)thefindingsshowthatbuildingfiscalcredibilityisrelevanttoanchoringinflationexpectations

Ontheotherhandinrelationtothecoefficientassociatedwithpastexternalrisk(VIXt-1) theestimationsshowthat theparameter isnotsignificantThisfindingsuggests that increases in global financial uncertainty do not increase inflationexpectationsinColombiaTheimportanceofpastinflation(πt-1)fortheformationofexpectationsisalsosignificantUsingtheresultsofBomfimandRudebusch(2000) it ispossible to affirm that since inflationexpectations respond topastinflationmonetary policy in Colombia is not fully credibleAccording to theresults thecoefficientassociatedwithpast inflationvariesbetween979and

2 CRED LOSSiscalculatedintheunitsinwhichthefiscaldeficitismeasuredaspercentageofGDPThere-foreanincreaseofoneunitinCRED LOSSmeansthatdeficitexpectationsare1(ofGDP)abovetheobserveddeficit

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

10

20

30

40

50

60

70

80

plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

10

20

30

40

50

Recursive C(2) estimates plusmn 2 S E

-20

-10

0

10

20

30

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

0

10

20

30

40

2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

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24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

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31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

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144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

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39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

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44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

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47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

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39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

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51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 15: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)1391677Thereforeifpastinflationincreasesoneunitandexpectationsareat3

theresultisthatexpectationscanmovetobetween329and350HoweverthisresultsuggeststhatinflationaryinertiahasfalleninColombiaandexpecta-tions are better anchored Some empirical studies highlight similar results foremerging economies that have adopted inflation targeting (seeCelasunGelosand Prati 2004 BevilaquaMesquita andMinella 2008 Cerisola andGeros2009Gaglianone2017)

Inthecaseoftheparameterassociatedwiththeexchangerate(et-1)thecoefficientispositiveandsignificantAccordinglydepreciation tends to increase inflationexpectations in the Colombian economy This result indirectly confirms thehypothesisthatfirmcostsaretiedtothebehaviouroftheexchangerateduetoitseffects on imported inputs However in the estimated models the estimatedparametertendstowardzerowhichindicatesthatveryhighdevaluations(above1000Colombianpesos)arenecessaryforexpectationstoincreasebymorethanonepercentagepointSimilarevidencehasbeenreportedbyBevilaquaMesquitaandMinella(2008)AraujoandGaglianone(2010)andGaglianone(2017)

Thecoefficientassociatedwiththepastbehaviouroftheeconomy(yt-1)ispositiveandstatisticallysignificantThatis inflationexpectationsfallinrecessionsandrise ineconomicbooms In thecaseof thecoefficientassociatedwith thepastunemploymentrate(Ut-1)theeconometricresultshowsthatitisalsopositiveandsignificantAccordingtoMankiwReisandWolfers(2003)inflationexpectationsarehighduringperiodsofhighunemploymentsuggestingabelatedoverreactionof expectations to the labourmarket situationWith the results of table 1 anincreaseinthepastunemploymentrateleadstoincreasesininflationexpectationsinarangebetween004and012percentagepointsTheresultsconfirmthetheo-reticalperspectiveoftheKydlandandPrescott(1977)dynamicincoherencemod-elsThesemodels indicate that increases inunemploymentcanbe theresultofattemptstosurpriseagentswithunexpectedinflationExpansivepolicycanleadtoshort-termgainsintermsofproductincreasesasthePhillipscurvepointsoutHoweveraccordingtothefindingsofIreland(1999)inthelongtermtheresultisabalanceinwhichtheinertiaofinflationexpectationsispositivelycointegratedwiththeunemploymentrateThustheevidencesuggeststhatduringtheperiodofanalysis there was no trade-off between inflation expectations inflation andunemploymentFinallythecoefficientassociatedwiththedummyvariable(Dt) is positiveandsignificantinalmostallmodelsInotherwordsthesubprimecrisisraisedinflationexpectationsinColombia

41 OLS RECURSIVE ESTIMATESItisimportanttoverifythewayinwhichtheeffectoffiscalcredibilityoninflationexpectationshasvariedover timeFor thisOLSrecursiveestimateswereper-formedonthecoefficientoffiscalcredibilityloss(CRED LOSS)estimatedinthefivemodelspresentedintable1Thestabilityovertimeoftheparametersassoci-atedwithfiscalcredibilityispresentedinfigure5

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

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20

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35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

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2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

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20

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Recursive C(2) estimates plusmn 2 S E

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Recursive C(2) estimates plusmn 2 S E

-10

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Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

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24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

29HarrisR1995Using cointegration analysis in econometric modelingLon-donPrenticeHall

30HaunerDJonaacutešJandKumarM2007PolicyCredibilityandSovereignCreditTheCaseofthenewEUMemberStatesIMF Working PaperNo071Washing-tonInternationalMonetaryFundhttpsdoiorg1050899781451865653001

31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

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144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

35KlyuevVandSnuddenS2011EffectsoffiscalconsolidationintheCzechRepublicCzech Journal of Economics and Finance 61(4) pp 306-326httpsdoiorg1050899781455228058001

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39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

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46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

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39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 16: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)

140 Ingeneraltheestimatesshowthatfortheperiodanalysedthesignsandeffectsoffiscalcredibilityoninflationexpectationswerestablebutin4ofthe5modelstheparametersdecreasedAccordingtothegraphstheparametersassociatedwiththeCRED LOSSvariabledroppedfrom20to10ThustheimpactofcredibilitywasreducedbyahalfInthe2016-2019periodtheeffectofcredibilitystabilizedandtheresultsconfirmtheimportanceoffiscalpolicyintheshapingofinflationexpectationsinColombia

Figure 5Fiscal credibility coefficient recursive estimates model 1 2 3 4 5 (in )

Recursive C(2) estimates plusmn 2 S E

-05

00

05

10

15

20

25

30

35

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019-10

0

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plusmn 2 S ERecursive C(2) estimates

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

-10

0

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Recursive C(2) estimates plusmn 2 S E

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2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019

Recursive C(2) estimates plusmn 2 S E

-10

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2009 2010 2011 2012 2013 2014 2015 2016 2017

Source Authoracutes elaboration Data from the Central Bank of Colombia

5 CONCLUSIONSThisstudyanalysedtheinfluenceoffiscalcredibilityoninflationexpectationsintheColombianeconomyTheresultsallowustomakethreeobservationsFirstecono-metricestimateresultsindicatethatananchoringofexpectationsintheobservedfiscaldeficit(lowerCRED LOSS)canreduceinflationexpectationsInparticularthefindingsshowthatfiscalcredibilityshouldbemonitoredbythecentralbankin

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

142 REFERENCES1 Allsopp C andVines D 2005 The macroeconomic role of fiscal policy

Oxford Review of Economic Policy21(4)pp485-508httpsdoiorg101093oxrepgri027

2 AraujoCandGaglianoneW2010Survey-basedInflationExpectationsinBrazilBIS Papers 49pp107-114

3 BerlemannM and Elzemann J 2006Are expectations on inflation andelectionoutcomesconnectedAnempiricalanalysisEconomic Letters91(3)pp354-359httpsdoiorg101016jeconlet200512007

4 BevilaquaAMesquitaMandMinellaA2008BrazilTamingInflationExpectationsWorking Papers Central Bank of Brazil(129)pp1-40

5 BlinderA[etal]2008CentralBankCommunicationandMonetaryPolicyJournal of Economic Literature 46(4) pp 910-945 httpsdoi101257jel464910

6 BomfimAandRudebuschG2000OpportunisticandDeliberateDisinfla-tion Under Imperfect Credibility Journal of Money Credit and Banking 32(4)pp707-721httpsdoiorg1023072601179

7 CataoLAandTerronesM2003FiscalDeficitsandInflationIMF Work-ing PaperNo0365WashingtonInternationalMonetaryFundhttpsdoiorg1050899781451848700001

8 CelasunOandGelosG2009WhatdrivesinflationexpectationsinBrazilAnempiricalanalysisApplied Economics41(10)pp1215-1227httpsdoiorg10108000036840601166892

9 CelasunOGelosGandPratiA2004ObstaclestodisinflationwhatistheroleoffiscalexpectationsEconomic Policy19pp441-81httpsdoiorg101111j1468-0327200400129x

10CerisolaMandGelosG2009WhatDrivesInflationExpectationsinBra-zilAnEmpiricalAnalysisApplied Economics41(10)1215-1227httpsdoiorg10108000036840601166892

11CiroJCGandDeMendonccedilaHF2017Effectofcredibilityandreputationon discretionary fiscal policy empirical evidence from ColombiaEmpirical Economics53(4)pp1529-1552httpsdoiorg101007s00181-016-1177-2

12CukiermanAandMeltzerAH1986Atheoryofambiguitycredibilityand inflation under discretion and asymmetric informationEconometrica54(5)pp1099-1128httpsdoi1023071912324

13DeMendonccedilaHF2007TowardscredibilityfromInflationtargetingtheBrazilian experience Applied Economics 39(20) 2599-2615 httpsdoiorg10108000036840600707324

14DeMendonccedilaHFandDaSilvaR2016ObservingtheinfluenceoffiscalcredibilityoninflationEvidencefromanemergingeconomyEconomics Bul-letin36(4)pp2333-2349

15DeMendonccedilaHFandMachadoMR2013PublicDebtManagementandCredibility Evidence from an emerging economy Economic Modelling30(1)pp10-21httpsdoiorg101016jeconmod201209009

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45 (1) 125-148 (2021)14316DeMendonccedilaHFandTostesFS2015Theeffectofmonetaryandfiscal

credibilityonexchangeratepass-throughinanemergingeconomyOpen Econ-omies Review26(4)787-816httpsdoiorg101007s11079-014-9339-3

17DebrunXHaunerDandKumarM2009IndependentFiscalAgenciesJournal of Economic Surveys23(1)pp44-81httpsdoiorg101111j1467-6419200800556x

18DebrunXandKindaT2017StrengtheningPost-CrisisFiscalCredibilityFiscalCouncilsontheRisendashANewDatasetFiscal Studies38(4)pp667-700httpsdoiorg1011111475-589012130

19DornbuschR andFischerS1993Moderate InflationWorld Bank Eco-nomic Review7(1)pp1-44httpsdoiorg101093wber711

20DrazenAandMassonPR1994Credibilityofpoliciesversuscredibilityof policymakers Quarterly Journal of Economics 109(3) pp 735-754httpsdoi1023072118420

21EngleRFandGrangerCWJ1987CointegrationanderrorcorrectionRepresentation estimation and testingEconometrica 55(2) pp 251-276httpsdoi1023071913236

22FataacutesAandMihovI2003TheCaseforRestrictingFiscalPolicyDiscre-tionQuarterly Journal of Economics 118(4) pp 1419-1447 httpsdoi101162003355303322552838

23FaustJandSvenssonL2001Transparencyandcredibilitymonetarypol-icywithunobservablegoalsInternational Economic Review 42(2)pp369-397httpsdoiorg1011111468-235400114

24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

29HarrisR1995Using cointegration analysis in econometric modelingLon-donPrenticeHall

30HaunerDJonaacutešJandKumarM2007PolicyCredibilityandSovereignCreditTheCaseofthenewEUMemberStatesIMF Working PaperNo071Washing-tonInternationalMonetaryFundhttpsdoiorg1050899781451865653001

31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

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45 (1) 125-148 (2021)

144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

35KlyuevVandSnuddenS2011EffectsoffiscalconsolidationintheCzechRepublicCzech Journal of Economics and Finance 61(4) pp 306-326httpsdoiorg1050899781455228058001

36KuncoroH2015DoestheCredibleFiscalPolicySupportthePricesStabi-lizationReview of Economic Perspectives 15(2)pp137-156httpsdoi101515revecp-2015-0014

37KydlandFandPrescottE1977RulesRatherthanDiscretiontheIncon-sistencyofOptimalPlansJournal of Political Economy85(3)pp473-492httpsdoi101086260580

38LinSandYeH2009Doesinflationtargetingmakeadifferenceindevel-oping countries Journal of Development Economics 89(1) pp 118-123httpsdoiorg101016jjdeveco200804006

39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

45MontesGandSouzaI2020SovereigndefaultriskdebtuncertaintyandfiscalcredibilityThecaseofBrazilThe North American Journal of Econom-ics and Finance51(C)pp1-26httpsdoiorg101016jnajef201809009

46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

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45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 17: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)141itseffortstostabilizeexpectationsSecondpastinflationbehaviourcontinuestobe

importantindetermininginflationexpectationsThustheresultssuggestthatthereisstillagapinstrengtheningthemanagementofexpectationsinlong-termcentralbanktargetsandincorporatingforward-lookingbehaviourThirdinflationexpecta-tions in Colombia incorporate important macroeconomic information related tounemploymentGDPandexchangeratesInbrieftheempiricalevidencedevelopedinthisstudyindicatesthattostabilizeinflationexpectationsinColombiaitisneces-sarytohaveastableeconomicenvironmentandcrediblefiscalpolicy

Disclosure statementNopotentialconflictofinterestwasreportedbytheauthors

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45 (1) 125-148 (2021)

142 REFERENCES1 Allsopp C andVines D 2005 The macroeconomic role of fiscal policy

Oxford Review of Economic Policy21(4)pp485-508httpsdoiorg101093oxrepgri027

2 AraujoCandGaglianoneW2010Survey-basedInflationExpectationsinBrazilBIS Papers 49pp107-114

3 BerlemannM and Elzemann J 2006Are expectations on inflation andelectionoutcomesconnectedAnempiricalanalysisEconomic Letters91(3)pp354-359httpsdoiorg101016jeconlet200512007

4 BevilaquaAMesquitaMandMinellaA2008BrazilTamingInflationExpectationsWorking Papers Central Bank of Brazil(129)pp1-40

5 BlinderA[etal]2008CentralBankCommunicationandMonetaryPolicyJournal of Economic Literature 46(4) pp 910-945 httpsdoi101257jel464910

6 BomfimAandRudebuschG2000OpportunisticandDeliberateDisinfla-tion Under Imperfect Credibility Journal of Money Credit and Banking 32(4)pp707-721httpsdoiorg1023072601179

7 CataoLAandTerronesM2003FiscalDeficitsandInflationIMF Work-ing PaperNo0365WashingtonInternationalMonetaryFundhttpsdoiorg1050899781451848700001

8 CelasunOandGelosG2009WhatdrivesinflationexpectationsinBrazilAnempiricalanalysisApplied Economics41(10)pp1215-1227httpsdoiorg10108000036840601166892

9 CelasunOGelosGandPratiA2004ObstaclestodisinflationwhatistheroleoffiscalexpectationsEconomic Policy19pp441-81httpsdoiorg101111j1468-0327200400129x

10CerisolaMandGelosG2009WhatDrivesInflationExpectationsinBra-zilAnEmpiricalAnalysisApplied Economics41(10)1215-1227httpsdoiorg10108000036840601166892

11CiroJCGandDeMendonccedilaHF2017Effectofcredibilityandreputationon discretionary fiscal policy empirical evidence from ColombiaEmpirical Economics53(4)pp1529-1552httpsdoiorg101007s00181-016-1177-2

12CukiermanAandMeltzerAH1986Atheoryofambiguitycredibilityand inflation under discretion and asymmetric informationEconometrica54(5)pp1099-1128httpsdoi1023071912324

13DeMendonccedilaHF2007TowardscredibilityfromInflationtargetingtheBrazilian experience Applied Economics 39(20) 2599-2615 httpsdoiorg10108000036840600707324

14DeMendonccedilaHFandDaSilvaR2016ObservingtheinfluenceoffiscalcredibilityoninflationEvidencefromanemergingeconomyEconomics Bul-letin36(4)pp2333-2349

15DeMendonccedilaHFandMachadoMR2013PublicDebtManagementandCredibility Evidence from an emerging economy Economic Modelling30(1)pp10-21httpsdoiorg101016jeconmod201209009

JUA

N C

AM

ILO A

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AacuteTEG

UI-ZA

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GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

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S EV

IDEN

CE FR

OM

AN

EMER

GIN

G EC

ON

OM

Y

PUB

LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)14316DeMendonccedilaHFandTostesFS2015Theeffectofmonetaryandfiscal

credibilityonexchangeratepass-throughinanemergingeconomyOpen Econ-omies Review26(4)787-816httpsdoiorg101007s11079-014-9339-3

17DebrunXHaunerDandKumarM2009IndependentFiscalAgenciesJournal of Economic Surveys23(1)pp44-81httpsdoiorg101111j1467-6419200800556x

18DebrunXandKindaT2017StrengtheningPost-CrisisFiscalCredibilityFiscalCouncilsontheRisendashANewDatasetFiscal Studies38(4)pp667-700httpsdoiorg1011111475-589012130

19DornbuschR andFischerS1993Moderate InflationWorld Bank Eco-nomic Review7(1)pp1-44httpsdoiorg101093wber711

20DrazenAandMassonPR1994Credibilityofpoliciesversuscredibilityof policymakers Quarterly Journal of Economics 109(3) pp 735-754httpsdoi1023072118420

21EngleRFandGrangerCWJ1987CointegrationanderrorcorrectionRepresentation estimation and testingEconometrica 55(2) pp 251-276httpsdoi1023071913236

22FataacutesAandMihovI2003TheCaseforRestrictingFiscalPolicyDiscre-tionQuarterly Journal of Economics 118(4) pp 1419-1447 httpsdoi101162003355303322552838

23FaustJandSvenssonL2001Transparencyandcredibilitymonetarypol-icywithunobservablegoalsInternational Economic Review 42(2)pp369-397httpsdoiorg1011111468-235400114

24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

29HarrisR1995Using cointegration analysis in econometric modelingLon-donPrenticeHall

30HaunerDJonaacutešJandKumarM2007PolicyCredibilityandSovereignCreditTheCaseofthenewEUMemberStatesIMF Working PaperNo071Washing-tonInternationalMonetaryFundhttpsdoiorg1050899781451865653001

31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

IDEN

CE FR

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AN

EMER

GIN

G EC

ON

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LIC SECTO

R EC

ON

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ICS

45 (1) 125-148 (2021)

144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

35KlyuevVandSnuddenS2011EffectsoffiscalconsolidationintheCzechRepublicCzech Journal of Economics and Finance 61(4) pp 306-326httpsdoiorg1050899781455228058001

36KuncoroH2015DoestheCredibleFiscalPolicySupportthePricesStabi-lizationReview of Economic Perspectives 15(2)pp137-156httpsdoi101515revecp-2015-0014

37KydlandFandPrescottE1977RulesRatherthanDiscretiontheIncon-sistencyofOptimalPlansJournal of Political Economy85(3)pp473-492httpsdoi101086260580

38LinSandYeH2009Doesinflationtargetingmakeadifferenceindevel-oping countries Journal of Development Economics 89(1) pp 118-123httpsdoiorg101016jjdeveco200804006

39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

45MontesGandSouzaI2020SovereigndefaultriskdebtuncertaintyandfiscalcredibilityThecaseofBrazilThe North American Journal of Econom-ics and Finance51(C)pp1-26httpsdoiorg101016jnajef201809009

46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

JUA

N C

AM

ILO A

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AacuteTEG

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TS OF FISC

AL R

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N IN

FLATION

EXPEC

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AN

EMER

GIN

G EC

ON

OM

Y

PUB

LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

IDEN

CE FR

OM

AN

EMER

GIN

G EC

ON

OM

Y

PUB

LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

JUA

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 18: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)

142 REFERENCES1 Allsopp C andVines D 2005 The macroeconomic role of fiscal policy

Oxford Review of Economic Policy21(4)pp485-508httpsdoiorg101093oxrepgri027

2 AraujoCandGaglianoneW2010Survey-basedInflationExpectationsinBrazilBIS Papers 49pp107-114

3 BerlemannM and Elzemann J 2006Are expectations on inflation andelectionoutcomesconnectedAnempiricalanalysisEconomic Letters91(3)pp354-359httpsdoiorg101016jeconlet200512007

4 BevilaquaAMesquitaMandMinellaA2008BrazilTamingInflationExpectationsWorking Papers Central Bank of Brazil(129)pp1-40

5 BlinderA[etal]2008CentralBankCommunicationandMonetaryPolicyJournal of Economic Literature 46(4) pp 910-945 httpsdoi101257jel464910

6 BomfimAandRudebuschG2000OpportunisticandDeliberateDisinfla-tion Under Imperfect Credibility Journal of Money Credit and Banking 32(4)pp707-721httpsdoiorg1023072601179

7 CataoLAandTerronesM2003FiscalDeficitsandInflationIMF Work-ing PaperNo0365WashingtonInternationalMonetaryFundhttpsdoiorg1050899781451848700001

8 CelasunOandGelosG2009WhatdrivesinflationexpectationsinBrazilAnempiricalanalysisApplied Economics41(10)pp1215-1227httpsdoiorg10108000036840601166892

9 CelasunOGelosGandPratiA2004ObstaclestodisinflationwhatistheroleoffiscalexpectationsEconomic Policy19pp441-81httpsdoiorg101111j1468-0327200400129x

10CerisolaMandGelosG2009WhatDrivesInflationExpectationsinBra-zilAnEmpiricalAnalysisApplied Economics41(10)1215-1227httpsdoiorg10108000036840601166892

11CiroJCGandDeMendonccedilaHF2017Effectofcredibilityandreputationon discretionary fiscal policy empirical evidence from ColombiaEmpirical Economics53(4)pp1529-1552httpsdoiorg101007s00181-016-1177-2

12CukiermanAandMeltzerAH1986Atheoryofambiguitycredibilityand inflation under discretion and asymmetric informationEconometrica54(5)pp1099-1128httpsdoi1023071912324

13DeMendonccedilaHF2007TowardscredibilityfromInflationtargetingtheBrazilian experience Applied Economics 39(20) 2599-2615 httpsdoiorg10108000036840600707324

14DeMendonccedilaHFandDaSilvaR2016ObservingtheinfluenceoffiscalcredibilityoninflationEvidencefromanemergingeconomyEconomics Bul-letin36(4)pp2333-2349

15DeMendonccedilaHFandMachadoMR2013PublicDebtManagementandCredibility Evidence from an emerging economy Economic Modelling30(1)pp10-21httpsdoiorg101016jeconmod201209009

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TS OF FISC

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N IN

FLATION

EXPEC

TATION

S EV

IDEN

CE FR

OM

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EMER

GIN

G EC

ON

OM

Y

PUB

LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)14316DeMendonccedilaHFandTostesFS2015Theeffectofmonetaryandfiscal

credibilityonexchangeratepass-throughinanemergingeconomyOpen Econ-omies Review26(4)787-816httpsdoiorg101007s11079-014-9339-3

17DebrunXHaunerDandKumarM2009IndependentFiscalAgenciesJournal of Economic Surveys23(1)pp44-81httpsdoiorg101111j1467-6419200800556x

18DebrunXandKindaT2017StrengtheningPost-CrisisFiscalCredibilityFiscalCouncilsontheRisendashANewDatasetFiscal Studies38(4)pp667-700httpsdoiorg1011111475-589012130

19DornbuschR andFischerS1993Moderate InflationWorld Bank Eco-nomic Review7(1)pp1-44httpsdoiorg101093wber711

20DrazenAandMassonPR1994Credibilityofpoliciesversuscredibilityof policymakers Quarterly Journal of Economics 109(3) pp 735-754httpsdoi1023072118420

21EngleRFandGrangerCWJ1987CointegrationanderrorcorrectionRepresentation estimation and testingEconometrica 55(2) pp 251-276httpsdoi1023071913236

22FataacutesAandMihovI2003TheCaseforRestrictingFiscalPolicyDiscre-tionQuarterly Journal of Economics 118(4) pp 1419-1447 httpsdoi101162003355303322552838

23FaustJandSvenssonL2001Transparencyandcredibilitymonetarypol-icywithunobservablegoalsInternational Economic Review 42(2)pp369-397httpsdoiorg1011111468-235400114

24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

29HarrisR1995Using cointegration analysis in econometric modelingLon-donPrenticeHall

30HaunerDJonaacutešJandKumarM2007PolicyCredibilityandSovereignCreditTheCaseofthenewEUMemberStatesIMF Working PaperNo071Washing-tonInternationalMonetaryFundhttpsdoiorg1050899781451865653001

31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

JUA

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TS OF FISC

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45 (1) 125-148 (2021)

144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

35KlyuevVandSnuddenS2011EffectsoffiscalconsolidationintheCzechRepublicCzech Journal of Economics and Finance 61(4) pp 306-326httpsdoiorg1050899781455228058001

36KuncoroH2015DoestheCredibleFiscalPolicySupportthePricesStabi-lizationReview of Economic Perspectives 15(2)pp137-156httpsdoi101515revecp-2015-0014

37KydlandFandPrescottE1977RulesRatherthanDiscretiontheIncon-sistencyofOptimalPlansJournal of Political Economy85(3)pp473-492httpsdoi101086260580

38LinSandYeH2009Doesinflationtargetingmakeadifferenceindevel-oping countries Journal of Development Economics 89(1) pp 118-123httpsdoiorg101016jjdeveco200804006

39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

45MontesGandSouzaI2020SovereigndefaultriskdebtuncertaintyandfiscalcredibilityThecaseofBrazilThe North American Journal of Econom-ics and Finance51(C)pp1-26httpsdoiorg101016jnajef201809009

46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

IDEN

CE FR

OM

AN

EMER

GIN

G EC

ON

OM

Y

PUB

LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

IDEN

CE FR

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EMER

GIN

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ON

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LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

IDEN

CE FR

OM

AN

EMER

GIN

G EC

ON

OM

Y

PUB

LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

JUA

N C

AM

ILO A

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AacuteTEG

UI-ZA

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LVIS-C

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TS OF FISC

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FLATION

EXPEC

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LIC SECTO

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ICS

45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 19: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)14316DeMendonccedilaHFandTostesFS2015Theeffectofmonetaryandfiscal

credibilityonexchangeratepass-throughinanemergingeconomyOpen Econ-omies Review26(4)787-816httpsdoiorg101007s11079-014-9339-3

17DebrunXHaunerDandKumarM2009IndependentFiscalAgenciesJournal of Economic Surveys23(1)pp44-81httpsdoiorg101111j1467-6419200800556x

18DebrunXandKindaT2017StrengtheningPost-CrisisFiscalCredibilityFiscalCouncilsontheRisendashANewDatasetFiscal Studies38(4)pp667-700httpsdoiorg1011111475-589012130

19DornbuschR andFischerS1993Moderate InflationWorld Bank Eco-nomic Review7(1)pp1-44httpsdoiorg101093wber711

20DrazenAandMassonPR1994Credibilityofpoliciesversuscredibilityof policymakers Quarterly Journal of Economics 109(3) pp 735-754httpsdoi1023072118420

21EngleRFandGrangerCWJ1987CointegrationanderrorcorrectionRepresentation estimation and testingEconometrica 55(2) pp 251-276httpsdoi1023071913236

22FataacutesAandMihovI2003TheCaseforRestrictingFiscalPolicyDiscre-tionQuarterly Journal of Economics 118(4) pp 1419-1447 httpsdoi101162003355303322552838

23FaustJandSvenssonL2001Transparencyandcredibilitymonetarypol-icywithunobservablegoalsInternational Economic Review 42(2)pp369-397httpsdoiorg1011111468-235400114

24GaglianoneW2017EmpiricalFindingsonInflationExpectationsinBrazilasurveyWorking Papers Central Bank of BrazilNo464pp1-25

25GoacutemezJ2006LaPoliacuteticaMonetariaenColombiaBorradores de EconomiacuteaNo394

26GuumlrkaynakRLevinA andSwansonE2010Does InflationTargetingAnchorLong-RunInflationExpectationsEvidencefromtheUSUKandSwedenJournal of the European Economic Association8(6)pp1208-1242httpsdoiorg101111j1542-47742010tb00553x

27Hamann F Hofstetter M and Urrutia M 2014 Inflation Targeting inColombia2002-2012Borradores de Economiacutea 818pp1-44httpsdoiorg1032468be818

28Hansen P L 1982 Large Sample Properties of Generalized Method ofMomentsEstimatorsEconometrica50(4)pp1029-1054httpsdoi1023 071912775

29HarrisR1995Using cointegration analysis in econometric modelingLon-donPrenticeHall

30HaunerDJonaacutešJandKumarM2007PolicyCredibilityandSovereignCreditTheCaseofthenewEUMemberStatesIMF Working PaperNo071Washing-tonInternationalMonetaryFundhttpsdoiorg1050899781451865653001

31IrelandPN1999Doesthetime-consistencyproblemexplainthebehaviorofinflationintheUnitedStatesJournal of Monetary Economics44(2)pp279-91httpsdoiorg101016S0304-3932(99)00026-4

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45 (1) 125-148 (2021)

144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

35KlyuevVandSnuddenS2011EffectsoffiscalconsolidationintheCzechRepublicCzech Journal of Economics and Finance 61(4) pp 306-326httpsdoiorg1050899781455228058001

36KuncoroH2015DoestheCredibleFiscalPolicySupportthePricesStabi-lizationReview of Economic Perspectives 15(2)pp137-156httpsdoi101515revecp-2015-0014

37KydlandFandPrescottE1977RulesRatherthanDiscretiontheIncon-sistencyofOptimalPlansJournal of Political Economy85(3)pp473-492httpsdoi101086260580

38LinSandYeH2009Doesinflationtargetingmakeadifferenceindevel-oping countries Journal of Development Economics 89(1) pp 118-123httpsdoiorg101016jjdeveco200804006

39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

45MontesGandSouzaI2020SovereigndefaultriskdebtuncertaintyandfiscalcredibilityThecaseofBrazilThe North American Journal of Econom-ics and Finance51(C)pp1-26httpsdoiorg101016jnajef201809009

46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

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45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

IDEN

CE FR

OM

AN

EMER

GIN

G EC

ON

OM

Y

PUB

LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

JUA

N C

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AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

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EDIB

ILITY O

N IN

FLATION

EXPEC

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EMER

GIN

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 20: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)

144 32JohansenS1991Estimationandhypothesistestingofcointegrationvectorsin gaussian vector autoregressive modelsEconometrica 59(6) pp 1551-1580httpsdoi1023072938278

33KandilMandMorsyH2014FiscalStimulusandCredibilityinEmergingCountriesEastern Economic Journal40pp420-439httpsdoiorg101057eej201325

34KennedyMandPalermA2014EmergingmarketbondspreadsTheroleofglobalanddomesticfactorsfrom2002to2011Journal of International Money and Finance43(1)pp70-87httpsdoiorg101016jjimonfin201312008

35KlyuevVandSnuddenS2011EffectsoffiscalconsolidationintheCzechRepublicCzech Journal of Economics and Finance 61(4) pp 306-326httpsdoiorg1050899781455228058001

36KuncoroH2015DoestheCredibleFiscalPolicySupportthePricesStabi-lizationReview of Economic Perspectives 15(2)pp137-156httpsdoi101515revecp-2015-0014

37KydlandFandPrescottE1977RulesRatherthanDiscretiontheIncon-sistencyofOptimalPlansJournal of Political Economy85(3)pp473-492httpsdoi101086260580

38LinSandYeH2009Doesinflationtargetingmakeadifferenceindevel-oping countries Journal of Development Economics 89(1) pp 118-123httpsdoiorg101016jjdeveco200804006

39Loacutepez-Enciso E Vargas-Herrera H and Rodriacuteguez-Nintildeo N 2016 LaestrategiadeinflacioacutenobjetivoenColombiaUnavisioacutenhistoacutericaBorradores de EconomiacuteaNo952httpsdoiorg1032468be952

40Mankiw N Reis R andWolfers J 2003 Disagreement about InflationExpectations NBER Working Paper No 9796 pp 1-60 httpsdoiorg101086ma183585256

41MineaAandTapsobaR2014Doesinflationtargetingimprovefiscaldis-cipline Journal of International Money and Finance 40(1) pp 185-203httpsdoiorg101016jjimonfin201310002

42MishkinFS2007Monetary Policy StrategyTheMITPress43MishkinFSandSavastanoM2001MonetarypolicystrategiesforLatin

AmericaJournal of Development Economics66(2)pp415-444httpsdoiorg101016s0304-3878(01)00169-9

44MontesGandAccedilarT2018FiscalcredibilityanddisagreementinexpectationsaboutinflationevidenceforBrazilEconomics Bulletin38(2)pp826-843

45MontesGandSouzaI2020SovereigndefaultriskdebtuncertaintyandfiscalcredibilityThecaseofBrazilThe North American Journal of Econom-ics and Finance51(C)pp1-26httpsdoiorg101016jnajef201809009

46Moodyrsquos Investors Service 2014Moodyrsquos upgrades Colombiarsquos rating toBaa2fromBaa3outlookstableJuly(RatingActionColombia)

47NaertF2011CredibilityofFiscalPoliciesandIndependentFiscalBodiesReview of Business and Economic Literature56(3)pp288-309

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

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TS OF FISC

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IDEN

CE FR

OM

AN

EMER

GIN

G EC

ON

OM

Y

PUB

LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

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N IN

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GIN

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ON

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LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

IDEN

CE FR

OM

AN

EMER

GIN

G EC

ON

OM

Y

PUB

LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

IDEN

CE FR

OM

AN

EMER

GIN

G EC

ON

OM

Y

PUB

LIC SECTO

R EC

ON

OM

ICS

45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

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45 (1) 125-148 (2021)14548Roberts JM 1997 Is Inflation Sticky Journal of Monetary Economics

39(2)173-196httpsdoiorg101016S0304-3932(97)00017-249SargentT andWallaceN 1981 Someunpleasantmonetarist arithmetic

FederalReserveBankofMinneapolisQuarterly Review pp1-17httpsdoiorg1021034qr531

50ShirakawaM2012The Importance of Fiscal Sustainability Preconditions for Stability in the Financial System and in PricesRemarksattheBanquedeFranceFinancialStabilityReviewLaunchEventinWashingtonDCApril1-3

51StrohsalTMelnickR andNautzD 2016The time-varyingdegreeofinflation expectations anchoring Journal of Macroeconomics 48(C) pp62-71httpsdoiorg101016jjmacro201602002

52ThorntonJandVasilakisC2019Dofiscalrulesreducegovernmentbor-rowingcostsindevelopingcountriesInternational Journal of Finance and Economicspp1-12httpsdoiorg101002ijfe1771

53WoodfordM2003Interest and Prices Foundations of a Theory of Mone-tary PolicyPrincetonUniversityPress

54WooldridgeJ2001ApplicationsofGeneralizedMethodofMomentsEsti-mation Journal of Economic Perspectives 15(4) pp 87-100 httpsdoi101257jep15487

55WyploszC2005FiscaldisciplineinEMUrulesorinstitutionsNational Institute Economic Review191pp70-84

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

JUA

N C

AM

ILO A

NZO

AacuteTEG

UI-ZA

PATA JU

AN

CA

MILO

GA

LVIS-C

IRO

EFFEC

TS OF FISC

AL R

EDIB

ILITY O

N IN

FLATION

EXPEC

TATION

S EV

IDEN

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ON

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Y

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OM

ICS

45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

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45 (1) 125-148 (2021)

146 APPENDIX

Table a1Sources of data and description of the variablesVariable Variable description Data source

E(π)

InflationexpectationscomputedbytheCentralBankofColombiaInflationexpectationsare1yearforwardThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

CRED LOSSCredibilityTheindicatorwasconstructedwiththedifferencebetweentheobserveddeficitandtheexpecteddeficit

Devisedbyauthors

DEF

FiscaldeficitobservedbytheCentralNationalGovernment(GDP)-Accumulatedinthelast4quarters Datain

CentralBankofColombia

E(DEF)

Fiscaldeficitexpectations(GDP)ExpectationscomefromcentralbanksurveysTheforecastingdeficitistheoverallfiscaldeficitThesurveyiscalledldquoMacroeconomicProjectionsofLocalandForeignAnalystsˮDatain

CentralBankofColombia

πInflationaccumulatedin12monthsmeasuredbythevariationofthe consumerpriceindexDatain

CentralBankofColombia

e Exchangerate(monthaverage)oftheColombianpesoUnitedStatesdollar CentralBankofColombia

y

GrossdomesticproductSerieswasbuiltonrealColombiancurrencywithconstantpricesfrom2005Thevariableisseasonallyadjustedbythecentralbank Inthemodelstheserieswasusedinnaturallogarithm

CentralBankofColombia

U UnemploymentratewithseasonaladjustmentX12Datain CentralBankofColombia

VIX VolatilityofthestockmarketindexSampP500 FederalReserveofStLouis

D AdummyvariableThedummytakesavalueof1foryear2008and0fortherest Devisedbyauthors

JUA

N C

AM

ILO A

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

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45 (1) 125-148 (2021)147Table a2

Descriptive statisticsVariable Mean Min Max SDE(π) 39455 28766 56900 07804DEF 30272 12166 46816 08691E(DEF) 24996 06500 40800 09183CRED LOSS 09798 00200 31400 07920π 43057 18464 82436 16576e 236002 176214 346201 49515U 106105 84389 142076 13231y 120552 117126 123205 01811VIX 181577 95100 441400 77106

Note E(π) DEF E(DEF) CRED LOSS π and U were used in

Table a3Unit root tests (ADF PP and KPSS)

SeriesADF PP KPSS

Lags Esp Test CV (1) Banda Esp Test CV

(1) Banda Esp Test CV (5)

E(π) 1 C -244 -354 3 N -128 -260 4 CT 016 014CRED LOSS 2 N -116 -260 1 N -161 -260 5 CT 015 014

π 1 C -315 -356 3 N -106 -260 3 CT 016 014e 0 N -065 -260 1 N -053 -260 6 CT 023 014U 0 C -286 -355 3 C -286 -355 5 C 084 046y 0 CT -175 -411 4 CT -159 -413 6 C 100 046VIX 0 C -361 -354 1 C -349 -354 5 CT 015 014

Note CV critical value Trend (T) and intercept (I) are included based on Schwarz criterion ADF ndashthe final choice of lag was made based on Schwarz criterion PP and KPSS ndash spectral estimation method is Bartlett kernel and the Newey-West Bandwidth is used

Table a4VAR lag order selection criteria (with constant)

Lag Schwarz Lag SchwarzEquation(4) Equation(5)0 881 0 14311 150 1 6742 208 2 756Equation(6) Equation(7)0 295 0 19571 -375 1 13452 -307 2 1470

Note denotes the lag order selection

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1

Page 24: Effects of fiscal credibility on inflation expectations: evidence ...2021/01/04  · trol (Blinder et al., 2008). According to the seminal contributions of Sargent and Wallace (1981),

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45 (1) 125-148 (2021)

148 Table a5Number of cointegrating relations by modelData trend None None Linear Linear Quadratic

Testtype NointerceptNotrend

InterceptNoTrend

InterceptNotrend

Intercepttrend

Intercepttrend

Equation(4)trace 2 3 2 2 3

Equation(5)trace 2 2 2 2 3

Equation(6)trace 1 1 2 2 3

Equation(7)trace 1 1 1 1 2

Johansenrsquos cointegration testHypNofCE(s) Eigenvalue Tracestatistic Criticalvalue(005) p-value

Equation(4)R=0 050 9673 6981 000Rle1 046 6018 4785 000R=2 031 2734 2979 009Equation(5)R=0 062 11619 7697 000Rle1 050 6587 5407 000R=2 027 2977 3519 017Equation(6)R=0 056 9552 7697 000Rle1 035 5248 5407 006Equation(7)R=0 062 10960 8880 000Rle1 042 5965 6387 010

Note Model selected by the Schwarz criterion Values based on Mackinnon Denotes the null hypothesis rejection at 5

Table a6List of GMM instruments

Model1 E(π)t-2E(π)t-3CREDLOSSt-2CREDLOSSt-3πt-2πt-3yt-4yt-5VIXt-2VIXt-3VIXt-4Dt-1

Model2 E(π)t-2E(π)t-3CREDLOSSt-2et-3et-4yt-3yt-4VIXt-2VIXt-3VIXt-4 Dt-1

Model3 E(π)t-2E(π)t-3E(π)t-4CREDLOSSt-2CREDLOSSt-3πt-2 πt-3Ut-2 VIXt-2Dt-1

Model4 E(π)t-2E(π)t-3E(π)t-4 CREDLOSSt-2CREDLOSSt-3et-2et-3Ut-2Ut-3 Ut-4VIXt-2Dt-1

Model5 E(π)t-2E(π)t-3 CREDLOSSt-2CREDLOSSt-3et-2et-3yt-4yt-5Ut-2Ut-3VIXt-2πt-2 πt-3 Dt-1