Pirrong WTI Report 091116 - Bauer College of Business · 2010. 1. 7. · Energy Markets Director,...
Transcript of Pirrong WTI Report 091116 - Bauer College of Business · 2010. 1. 7. · Energy Markets Director,...
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AnEvaluationofthePerformanceofOilPriceBenchmarksDuringtheFinancialCrisisCraigPirrong
ProfessorofFinanceEnergyMarketsDirector,GlobalEnergyManagementInstitute
BauerCollegeofBusinessUniversityofHouston
I. Introduction
Theeventsoflate‐summer,2008throughthespringof2009haveattracted
considerableattentiontotheperformanceofoilpricebenchmarks,mostnotablythe
ChicagoMercantileExchange’sWestTexasIntermediatecrudeoilcontract(“WTI”
or“CL”hereafter)andICEFutures’Brentcrudeoilcontract(“Brentfutures”or“CB”
hereafter).Inparticular,thebehaviorofspreadsbetweenthepricesoffutures
contractsofdifferentmaturities,andbetweenfuturespricesandcashpricesduring
theperiodfollowingtheLehmanBrotherscollapsehassparkedallegationsthat
futurespriceshavebecomedisconnectedfromtheunderlyingcashmarket
fundamentals.TheWTIcontracthasbeenthesubjectofparticularcriticisms
allegingtheunrepresentativenessoftheMidcontinentmarketasaglobalprice
benchmark.
Ihaveanalyzedextensivedatafromthecrudeoilcashandfuturesmarketsto
evaluatetheperformanceoftheWTIandBrentfuturescontractsduringthe
LH2008‐FH2009period.Althoughtheanalysisfocusesonthisperiod,itrelieson
dataextendingbackto1990inordertoputtheperformanceinhistoricalcontext.I
havealsoincorporatedsomedataonphysicalcrudemarketfundamentals,most
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notablystocks,astheseareessentialinprovidinganevaluationofcontract
performanceandtherelationbetweenpricingandfundamentals.Myconclusions
areasfollows:
1. TheOctober,2008‐March2009periodwasoneofhistoricallyunprecedentedvolatility.Byavarietyofmeasures,volatilityinthisperiodwasextremelyhigh,evencomparedtothemonthssurroundingtheFirstGulfWar,previouslythehighestvolatilityperiodinthemodernoiltradingera.Moreover,thebehavioroffundamentalmeasures,includingstocks,washistoricallyextraordinaryaswell.
2. ForbothCLandCB,thepricecollapsethatoccurredinFall2008wasaccompaniedbyadramaticincreaseincontango(measuredbythespreadbetweenthefirstandsecondnearbyprices),andanincreaseinthevolatilityinspreadsbetweenfutureswithdifferentmaturities.
3. Byavarietyofmeasures,thehedgingperformanceofbothWTIandBrentdeclinedforavarietyofcashinstrumentsduringtheperiodofheightenedvolatility.ThisdeclineinhedgingperformancewasmostpronouncedforfrontmonthWTI.
4. HedgingperformanceforfirstmonthWTIwithrespecttoMidcontinentcrudestreamswassound.Byavarietyofmeasures,thehedgingperformanceofbothWTIandBrentdeclinedforavarietyofwaterbornecash‐tradedcrudestreams,includingthoseintheUSGulf,duringtheperiodofheightenedvolatility.
5. TheperformanceofthesecondmonthWTIcontractwascomparabletothatofthefirstandsecondmonthBrentcontracts.
6. Thedeclineinhedgingperformance,andincreaseinspreadvolatility,occurredatthesametimeasanunprecedentedincreaseinthestocksofoilheldatCushing,Oklahoma(20millionbarrels),intheUS(66millionbarrels)andtheOECDasawhole(110millionbarrelsinAugust,2008‐March,2009).
7. Formostoftheperiodstudied,thereisastrongrelationshipbetweenCushingstocksandspreads,andthisrelationshipisthatpredictedbyeconomictheory;namely,thathigherstocksareassociatedwithariseinthedeferredpricerelativetothenearbyprice.Thisisconsistentwithamarketbeingdrivenbyfundamentals.
8. DuringOctober,2008‐March,2009,therelationbetweenWTIspreadsandstocksbecamemorevariable,butthisrelationstillwasconsistentwiththespread‐stockrelationreflectingeconomicfundamentals.Thatis,highercontangoswereassociatedwithhigherstocks.
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9. WithrespecttoBrent,duringOctober,2008‐March,2009,therelationbetweenBrentspreadsandUSstockswasoppositethatpredictedbyeconomictheory;stocksandBrentspreadsmovedinoppositedirectionsduringthisperiod.BecauseUSandOECDstocksexhibitedsimilarmovementsduringthistimeperiod,thissuggeststhatBrentspreadsmaynothavebeenreflectingsupplydemandfundamentals(asproxiedforbyOECDstocks).1
10. UScashcrudespreadsexhibitedbehaviorsimilartoWTIfuturesspreads.Theyexperiencedlargemovesatthesametimes.ThissuggeststhatUSmarket‐wideconditions,ratherthanfactorsspecifictotheWTIcontract,werethedecisivedeterminantsofpricingbehaviorduringthisperiod.
11. ThebehavioroftheWTI‐WestTexasSour(WTS)spreadprovidesfurtherevidencethatconditionsintheMidcontinentwerethedecisivefactor.BothofthesecrudestreamsutilizeCushingstorage.DuringtheNovember,2008‐March,2009period,thefrontmonthWTI‐frontmonthWTSspreadexhibitedbehaviorsimilartothatobservedinpriorperiods,butthesecondmonthWTI‐frontmonthWTSspreadwassubstantiallymorevolatile.ThisisconsistentwithphysicalmarketconditionsatCushing(andtheMidcontinentmoregenerally)beingtheprimarydriverofpricerelationsduringthisperiod.
Oneinterpretationoftheseresultsisthat:(a)theunprecedentedincreasein
fundamentaluncertaintycausedadeclineinthehedgingperformanceofboththe
WTIandBrentcontracts,and(b)thesimilarlyunprecedentedsurgeinstocksthat
occurredsimultaneouslycausedasignificantincreaseinthecontango,mostnotably
intheWTImarket.
Inparticular,themetastasizingfinancialcrisiscaused:
• Asubstantialdeclineinthedemandforcrudeproducts(andhencecrudeoil).Inparticular,distillatedemandplummetedduringthisperiod.
• Asubstantialbuild‐upofcrudeinventoriesaroundtheworld,butmostnotablyintheUSMidcontinent;sinceoilsupplydoesnotadjustintheshortrun,thesteepdropindemandresultedinlargeandrapidaccumulationofstocks.
1DuetothelowerfrequencyofOECDinventorydata,itisnotpossibletotestthisconjecturerigorously.
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• Alargeandrapiddropinpricesofcrudeoilandrefinedproducts.
Theaccumulationofstockswasaworld‐widephenomenon.Thereare
extensivepublishedreports,includingthosereleasedbytheInternationalEnergy
Agency,thatlargeamountsofcrudewerestoredintankersatsea.Thisishighly
unusual,andreflectsthemarkedlyunusualconditionsprevailingatthetime.The
substantialinventorybuildatCushingwasthuspartofaglobalphenomenon,
althoughtheUSMidcontinentmorereflectedthismore(andmoretransparently)
thanelsewhere.Forthemostpart,thenearbyWTIfuturescontractwasaccurately
reflectingtheseCushingandMidcontinentfundamentals,andwasconsistentwith
thepatternsobservedforOECDstocks.
Theseconditionsdominatedthemarketforseveralmonths.Eventually,
outputcutsreducedthedemandforstorageandpermittedareturnofmoretypical
pricingrelationships,andimportantly,arestorationofthepreviouslyobserved
hedgingeffectivenessoftheprimaryworldcrudepricingmarkers,includingWTI.
Basedonthisinterpretation,andthetotalityoftheextensivedataanalysis,I
concludethatthebehavioroftheWTIfuturescontractduringthefinancialcrisis
reflectedthetrulyunprecedentedconditionsprevalentduringthatperiod.
Fundamentalvolatilitywasextraordinarilyhighduringthisperiod.Moreover,the
collapseindemandcausedbytheacuteworldwideeconomiccontractionmadeit
optimaltoincreasesharplytheamountofoilinstorage.Thesefactorscombinedto
injectvolatilityinfuturesspreadsandcash‐futuresspreads.
However,in2Q09,hedgingperformancesoftheWTIandBrentcontracts
havereturnedtoapproximatelytheirpre‐crisislevels.Thus,thedatadonot
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supportageneralclaimthatthehedgingperformanceofWTI(orBrent)has
declinedexceptundertrulyexceptionalcircumstances.
Therefore,itisimportantnottoreadtoomuchintothehedgingperformance
ofthefuturesmarketduringOctober,2008‐March,2009.Thisbehaviorwasquite
explicablebytheextremeshockstofundamentalsthatoccurredduringthis
remarkableperiod,andisnotaharbingerofalong‐termdeclineinperformance.A
returntomorenormalcircumstances,andmostimportantly,arecoveryofdemand
thatleadstothereturnofinventoriestomoretypicallevels,willresultareturnto
thepricingbehaviorexperiencedbeforethecrisis.
Theremainderofthisreportisorganizedasfollows.SectionIIsetsoutthe
statisticalmethodsdeployedandthedatautilized.SectionIIIanalyzesthebehavior
ofvolatility;ofspreadsandbasis;andhedgingeffectivenessoftheWTIandBrent
contracts,withafocusontheNovember,2008‐March,2009period.SectionIV
evaluatesthebehavioroffundamentals,notablyUSstocks,Cushingstocks,and
refiningactivity.SectionVsummarizesthereport.
II. MethodologyandData
Ievaluatethebehaviorofseveralindiciaofoilcontractperformance.Ifirst
reviewthebehaviorofthespreadbetweenthefirstandsecondnearbycontractsfor
theWTIandBrentcontracts.IthenevaluatethebasisbetweenthefrontmonthCL
andCBcontracts,andseveralcashmarketindicators.Thefutures‐cashpairs
examinedare:
• CL‐DatedBrent
• CL‐Dubai
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• CL‐GulfCoastGasoline(“GCG”)
• CL‐LouisianaLightSweet(“LLS”)
• CL‐MARS
• CL‐WestTexasSour(“WTS”)
• CB‐DatedBrent
• CB‐Dubai
• CB‐Gasoil
• CB‐SingaporeGasoil
Then,foreachofthesefutures‐cashpairs,Iuseavarietyofmethodsto
estimatethecorrelationbetweenthefuturespricechangeandthecashprice
change.Correlationisameasureofthehedgingeffectivenessofafuturescontract,
thatis,theamountofriskthatcanbereducedbyusingthefuturescontractasa
hedge.Specifically,thefractionofvariancethatcanbeeliminatedbyusingthe
futurescontractasahedgeofaparticularcashgradeequalsthesquareofthe
correlationbetweenthefuturespricechangeandthecashpriceforthatgrade.
Itiswellknownthatcorrelationscanvarythroughtime.Therefore,itis
imperativetoutilizemethodsthatpermitsuchtimevariation.Iusetwoapproaches.
Thefirstistoestimate“rolling”correlations.Thatis,Iestimatecorrelations
betweeneachfutures‐cashpairoverathree‐monthlongperiod,rollingthatperiod
forwardintimebyoneobservationperiodfromthebeginningofthedatasettothe
end.
Thesecondistoestimateabivariate“GARCH”model.TheGARCHmodelisa
timeseriesmodelofvariancesandcovariances.Itpositsthatvariancesand
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covariancesvarythroughtimeinaspecificway.Inparticular,variancesatagiven
pointintimedependonvariancesatthepreviousdate,andthesquaredinnovation
(unexpectedpricemovement)ineachprice.Covariancesbehavesimilarly.Thisis
oneofthemostwidelyutilizedmethodsinthetimeseriesanalysisoffinancial
prices.
Inprevious,publishedresearch,Ihaveshownthatvariancesandcovariances
incommoditypricescanvarywithfuturesspreads.Moreover,theorypredictssuch
arelationship.Adeepbackwardationtypicallyoccursundertightsupply‐demand
conditions,andpricesareusuallymorevolatilegivensuchtightfundamentals.A
steepcontangotypicallyreflectsconstraintsonstoragecapacity.Underthese
circumstances,theseconstraintslimittheabilitytoaccommodatefundamental
supplyanddemandshocksbyadjustinginventories,requiringpricestobearthe
burdenoftheadjustmenttotheseshocks.
Specifically,inoilmarkets,variancesandcovariancescandependonwhether
themarketisincontangoorbackwardation,andthemagnitudeofthe
contango/backwardation.2Tocapturethiseffect,Iestimatemodelsthatallow
variancesandcovariancestodependonthelevelsofbackwardationandcontango
2CraigPirrong,Metallgesellschaft:APrudentHedgerRuined,oraWildcatteronWallStreet?J.ofFuturesMarkets(1995).Themodelsestimatedinthatpaper,andherein,havemultipleequations.Foreachcommoditypair,thereisacovarianceequation.Inaddition,foreachelementofthecommoditypair,thereisavarianceequation.Thesethreeequationsallowtheestimationofthetime‐varyingvariancesofpricesforeachelementofthepairandthetime‐varyingcovariancebetweenthem;giventhisinformation,itispossibletoestimateatime‐varyingcorrelation(becausethecorrelationistheratioofthecovariancetothesquarerootoftheproductofthevariances).
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inthemarket.Irefertothisas“backwardandcontangoadjustedGARCH”(“GARCH
BCAG”).
Theoryalsopredictsthatcorrelationsbetweenfuturesofdifferent
maturities,andbetweencashandfuturespricescandependonfuturesspreads.For
instance,thecash‐and‐carryarbitragerelationshipisattenuatedwhenstocksare
lowandthemarketisinbackwardation.Underthesecircumstances,thecorrelation
betweennearbyanddeferredfuturespricesislikelytobelow.Similarly,ifthe
marginalcostofstoragebecomesquiteinelasticwheninventoriesbecomelarge,
then(a)themarketwillbeinalargecontango,and(b)nearby‐deferredspreadswill
bevolatile,andcorrelationsbetweenthesepriceslow,becausesmallfundamental
shockscanhavealargeeffectonthemarginalcostofstorage,causingnearbyand
deferredpricestomovedifferentlyinresponsetosuchshocks.
IestimatetwodifferenttypesofGARCHBCAGmodels.Inthefirstmodel,the
covariancebetweenthefuturespricechangeandthecashpricechangedependson
(a)aconstant,(b)thelaggedcovariance,(c)thelaggedproductbetweenthe
unexpectedfuturespricechangeandtheunexpectedcashpricechange,(d)thelag
ofthesquareofthelogdifferencebetweenthenearbypriceandthefirstdeferred
price,ifthatdifferenceispositive,and(e)thelagofthesquareofthelogdifference
betweenthenearbypriceandthefirstdeferredprice,ifthatdifferenceisnegative.
Variable(d)measurestheeffectsofbackwardationonthecovariancebetween
futuresandcash,whereasvariable(e)measurestheeffectsofcontangoonthis
variance.
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Thesecondmodelincorporatesvariables(d)and(e),butassumesthatwhen
thenearbyanddeferredfuturesareequal,thecorrelationbetweenthefuturesand
cashpricechangesisaconstant(estimatedbythemodel).
Bothmodelsassumethatthevariancesofthecashandfuturespricesdepend
on(a)aconstant,(b)thelaggedvariance,(c)thelaggedsquaredunexpectedprice
change,(d)thelagofthesquareofthelogdifferencebetweenthenearbypriceand
thefirstdeferredprice,ifthatdifferenceispositive,and(e)thelagofthesquareof
thelogdifferencebetweenthenearbypriceandthefirstdeferredprice,ifthat
differenceisnegative.
Thefuturesdatausedintheanalysisweredailysettlementpricesobtained
fromtheCommodityResearchBureau.ThecashpriceswerefromPlatts,and
providedbytheChicagoMercantileExchange.
Sincethevariouscashpriceandfuturespricemarkersweredeterminedat
differenttimesonagiventradingday,formostoftheanalysisitisimpracticalto
utilizedailypricedata.Forinstance,themeasuredclose‐to‐closepricechangein
Dubaicrudeoccursbetween0430ETand0430ETthefollowingday,whereasthe
measuredclose‐to‐closepricechangeinWTIoccursbetween1430ETonsuccessive
tradingdays.Thus,informationthatcanaffectNYMEXpricechangesonaparticular
dayatatimesubsequenttothedeterminationoftheDubaipriceonthatdaywill
onlybereflectedintheDubaipricedataforthefollowingday.Thistimemis‐match
tendstoreducemeasuredcorrelationsindailydata.Asaresult,tominimizethe
impactoftimemismatch,Iperformallcorrelationanalysesonweeklydata.
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III. Volatility,Spreads,andBasis
Thefigurelabeled“CLFront‐LLSVariance(BCAG)”representsthevariance
oftheweekly(log)changeintheWTInearbyfuturesprice,andthevarianceofthe
weekly(log)changeintheLLScashprice.3Thefiguredepictstheweeklyvariances
overtheperiod3January,1990‐14July,2009.
Thefiguredemonstratesthatthevariancesofcashandfuturespricesvary
overtime.Mostnotable,though,isthebehaviorofvolatilityin2008and2009.
Specifically,thesevarianceswerelow,byhistoricalstandards,duringtheperiodof
historicallyhigh(nominal)oilpricesinthesummerof2008.Moreover,these
varianceswereextremelyhighcommencinginthefallof2008,andreachedapeakin
thewinterof2009.Indeed,thevarianceswereapproximately4timeshigherat
theirpeakin2009,thanthehighestpost‐GulfWarIpeaks,andmorethandouble
thelevelsobservedevenduringthefirstGulfWar.
Convertingthesevariancesintoannualizedstandarddeviations(volatilities),
whereastheaveragelevelofvolatilityinthepost‐GulfWar‐pre‐FinancialCrisis
periodwasontheorderof33percentperyear,inFebruary,2009,thisvolatilitywas
over100percent.Thus,theperiodoftheFinancialCrisiswasoneofunprecedented
volatilityinoilprices.
TheFinancialCrisisalsohadadramaticeffectonthespreadsbetween
nearbyanddeferredoilfuturesprices,bothWTIandBrent.Twofiguresillustrate
thebehaviorofthesespreads.
3Thebasicresultsdonotdependonthechoiceofestimationmethod,orthecashpriceindicator.
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Thefigurelabeled“CLFront‐BackLogDifference”graphsthedifference
betweenthelogoftheCLfrontmonthandthelogoftheCLbackmonthprice,forthe
July,2005‐July,2009period.Thefigurelabeled“CBFront‐BackLogDifference”
graphsthedifferencebetweenthelogoftheCBfrontmonthandthelogoftheCB
backmonthprice,fortheJuly,2005‐July,2009period.4
Bothfiguresshowthatthespreadswererelativelystablepriortothelate‐
summerof2008,forWTIvaryingbetweenapproximately‐.04(contango)and.01
(backwardation).Then,inOctober,2009,the(log)spreadforbothWTIandBrent
begantodeclinedramatically,beforereturningtopreviously‐observedlevelsinthe
springof2009.Moreover,forbothWTIandBrent,thespreadgraphsexhibitsharp
downwardspikesintheDecember,2008‐February,2009period(forWTI)and
November,2008‐May,2009(forBrent).5
ThegeneraldramaticdeclineinspreadsinbothWTIandBrentcanbe
explainedreadilygiventhesubstantialeconomiccontractionandfinancialcrisis
thatoccurredduringthisperiod.Economictheorypredictsthatasubstantial
declineindemandforacommoditymakesitoptimaltoaccumulateinventories,
especiallywhenitisverycostlytoadjustoutput(asisthecaseinoil).Pricesadjust
intocontangotoprovideafinancialincentivetoengageinsuchaccumulation.
When,asisthecaseinoil,themarginalcostofstorageisincreasingintheamount
4Sincetherearenotimemismatchissuesassociatedwiththesefuturesspreads,thesegraphsareconstructedusingdailydata.Thelogarithmtransformationmitigatestheeffectofpricelevelsonthebasis.Alogdifferenceisessentiallyapercentagedifference.Therelationshipismuchmorevariablewhenthelogtransformationisnotused.5ThereisanupwardspikeintheWTIspreadon22September,2008.ThisoccurredontheexpirydateoftheOctobercontract.
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stored(due,forinstance,tooperationalconstraintsinstoragefacilities,orthe
necessitytoutilizeseabornestorage),verywidecontangosmayberequiredinthe
faceofaverylargeeconomicshockthatsharplyreducesthedemandforoil,and
henceincreasessharplytheoptimalamountofoiltostore.Thatis,theverylarge
changeinspreadsduringthefinancialcrisisisexactlythekindofpriceresponseto
beexpectedinthefaceofaneconomicshockthatdramaticallyreducesdemand.It
isalso,toadegree,consistentwiththeincreaseinoilinventoriesobservedoverthis
period;thisissueisdiscussedinmoredetailinSectionIVbelow.
The“spikes”inthespreadsaremoredifficulttoattributetoeconomic
fundamentals,andinsteadaremorelikelyreflectiveoftechnicalfeaturesintheWTI
andBrentmarkets.ThethreelargedownwardspikesintheWTIspreadoccurred
on12/19/2008,1/15/2009,and2/12/2009;therewasalargeupwardspikeinthis
spreadon2/19/2009.The12/19/2008and2/19/2009spikesoccurredon
contractexpirydates.The1/15/2009and2/12/2009occurredafewdaysbefore
contractexpiration.
ThethreespikesinBrentoccurredon11/13/2008,3/16/2008,and
5/14/2009.Thefirsttwoareexpirydates,thethirdadaypriortoexpiry.
Theoccurrenceofthesespikesonornearexpirysuggeststhattheyweredue
totechnicalfactorsassociatedwiththeendoftradingoffuturescontracts,rather
thanfundamentalfactors.
Astatisticalanalysissupportsthisview.Inthe1/3/1990‐6/30/2008period,
thestandarddeviationofthechangeintheCLlogspreadpriortothelastthreedays
intheexpirymonthwas.0022,whereasinthelastthreetradingdaysthisvolatility
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was.0085.Thus,evenbeforethefinancialcrisis,thespreadwassubstantiallymore
volatileinthefewdayspriortoexpirationthanintheperiodbetweentheprior
expirationandthefourthtradingdayofthemonth.Thisagainprovidesevidence
thattechnicalfactorsrelatedtoexpirationwereaffectingpricebehaviorasexpiry
neared.
ThedisparitybecameevenmoreextremeinLH2008‐FH2009.Inthatperiod,
thespreadvolatilitypriortothelastthreetradingdayswas.012,butthespread
volatilityinthelastthreedayswas.0334.Thus,duringtheheightofthefinancial
crisis,spreadvolatilitywasextremelyhighduringthelastthreetradingdays,even
incomparisontoitsalreadyelevatedlevelduringthefinancialcrisis,butpriortothe
lastthreetradingdays.Thissuggeststhatthetechnicalfactorsbecameevenmore
importantduringthisperiodoftime.
Brentexhibitedsimilarbehavior,thoughnotquiteassevere.Fortheperiod
priorto30June,2008,thespreadvolatilitywas.0023priortothelastthreedaysof
theexpirymonth(almostexactlythesameasobservedforWTI),and.0051during
thelastthreedays.Thus,technicalfactorsassociatedwithexpirationevidently
affectedtheBrentcontractpriortothefinancialcrisis,butnottothesameextentas
observedforWTI.Duringthefinancialcrisis,LH2008‐FH2009,Brentspread
volatilitypriortothelastthreetradingdaysofagivencontractwaselevated,.0045,
andthevolatilityduringthelastthreedayswasalsoelevated,to.0109.Soagain,
thereisevidenceoftheimpactofexpiration‐driventechnicalfeaturesonBrent;that
thesetechnicalpressuresweregreaterduringthefinancialcrisisthanbefore;but
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thattheeffectofthecrisisonthesetechnicalpressureswaslesssevereforBrent
thanWTI.
Myinterpretationofthesefindingsisasfollows.Theunprecedented
economicuncertaintyassociatedwiththefinancialcrisiscreatedunprecedented
volatilityinoilcashandfuturesprices.Moreover,thesubstantialeconomic
contractionassociatedwiththecrisisdramaticallyreduceddemandforoil,making
itoptimaltoincreaseoilinventoriesbyamarkedamount.Naturally,themarket
movedintocontangotorewardsuchinventoryaccumulations.Thecombinationof
volatilityandincreasesinoilstorageexacerbatedthetechnicalfrictionsthat
contributetobasisvolatilitylateinthetradingofanexpiringcontract,leadingto
especiallyelevatedbasisvolatilityfortheWTIcontract.Subsequentanalysis,
notablythatofstocks,willsupportthisinterpretation.
Thiscanbeinterpretedanotherway.Themarketforspreadsbetween
nearbyanddeferredcontractsisessentiallydiscoveringthe(shadow)priceof
storage.ThemarketforstorageinCushingisnotacentralizedmarket,butasearch
market.Onewouldexpectthatadramaticincreaseinfundamentaluncertaintyin
theoilmarket(demonstratedgraphicallybythehugevolatilityspikediscussed
above)andasurgeindemandforstoragecapacity(demonstratedbythedramatic
increaseinoilin‐storeinCushingasdocumentedbelow)wouldleadtoincreased
transactionscostsinthestoragemarketduetothenecessityofnegotiatingmore
transactionsinconditionsofuncertainty(andlikelyinformationasymmetry).One
wouldexpecttoothatinasearchmarket,greateruncertaintywouldleadtogreater
dispersionacrosstransactionsandovertimeinthepriceofstorage.Inturn,these
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developmentswouldtendtowidenthespreadandmakeitmorevolatileasthe
marketgropedtodiscoverthepriceofstorageunderconditionsofhistoric
uncertainty.
ItshouldbenotedthatUScashmarketspreadsexhibitedbehaviorsimilarto
thatofNYMEXWTI,althoughtoasomewhatlesserdegree.Thecharttitled“USOil
Nearby‐DeferredSpreads”depictsthenearby‐deferredspreadforLLS,WTIcash,
andWTS,aswellasNYMEXWTIfortheNovember,2008‐February,2009period.
Notethatthecashspreadsspikedownwardeachtimethereisadownwardspikein
thenearbyNYMEXWTIspread;theNYMEXWTIspikesaremorepronounced
(exceptforcashWTI),butthecoincidenceofthesespikesprovidesevidencethat
thesemovementsweredrivenbybroaderfundamentalforcesintheUSoilmarket,
ratherthansomethingpeculiartotheNYMEXCLcontract.Noteparticularlythatthe
cashWTIspreadisalmostidenticaltotheNYMEXWTIspread;thisindicatesthat
convergenceoccurredevenduringtheseexceptionalepisodes.Moreover,with
respecttotheDecember,2008spike,theJanuary‐FebruarycashWTIspread
widenedevenfurtherinthedayaftertheexpiryoftheNYMEXJanuarycontract.6
ThissuggeststhatconditionsintheCushingcashmarket,notsomethingpeculiarto
theNYMEXexpiryalone,drovethepricingrelationsduringthisperiod.
Relatedly,thebehaviorofNYMEXWTI‐WTSspreadssuggeststhat
constraintsinMidcontinentstorage,orfrictionsinthemarketforthisstorage,
playedthemajorroleindrivingpricerelationsduringthisperiod.Notethatinthe
December,2008‐June,2009periodthefrontmonthCL‐WTSspreadwasnot
6ThecashcontracttradesforatleastonemoredaythantheNYMEXfuture.
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especiallyvolatile(especiallycomparedwithitsbehaviorinthe2005‐2007period,
andcomparedtothespreadbetweenfrontmonthCLandothercashgrades),but
thebackmonthCL‐frontmonthWTSspreadwasverywideandvolatileduringthe
December,2008‐March,2009period.Moreover,thisspreadspikedupwhenother
frontmonthCLspreadsspikeddown.GiventhatWTS(Midland)isintheregion
tributarytoCushing,thissuggeststhatCushing/Midcontinentphysicalmarket
factorsweredecisiveduringthishighlyvolatileperiod.
Putdifferently,althoughNYMEXfrontmonthWTIpricerelations(spreads)
wereextraordinaryduringthistime,therelationsbetweenWTSandothercash
gradesweresimilarlyremarkable.Thus,ratherthanreflectingsomethingspecificto
thefuturesmarketortheCLfuturescontract,thespreadbehaviorduringtheperiod
ofthefinancialcrisiswasreflectingfundamentalconditionsintheMidcontinent
market.
Theseresultssuggestthatpricerelationscanbestressedbyextreme
fundamentalconditions,andthatthesestressesarelikelytoaffectthefrontmonth
contractmostacutely.Althoughthisfindingisnotimmaterial,itsimportance
shouldnotbeoveremphasized.Bythetimethattheexpiringcontractsmostclearly
reflectedtheextraordinarycircumstancesprevailingattheheightofthecrisis,the
vastmajorityofopeninterestinthecontractshadalreadyliquidated,mostofit
rollingtothefirstdeferredcontract.Thus,mosthedgers,andmostusingthe
contractforspeculativepurposes,werenotexposedtotheeffectsofthesefactors.
Thosemostatriskwerethoseholdingfinanciallysettledpositionswithcashflows
tiedtothesettlementpriceoftheWTIcontractonexpirationday.Moreover,aswill
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bedemonstratedinthenextsection,thefirstdeferredcontract(towhichmost
hedgersandspeculatorswillhaverolledpriortothethirdtradingdaybefore
expiration)demonstrablysufferedsubstantiallylessfromtheeffectsofeconomic
volatilityandcontracttechnicalfeatures.
IV. HedgingEffectiveness
Theanalysisofhedgingeffectivenessisbasedonseveralsetsoffigures,each
setcorrespondingtoadifferentmethodforestimatingcorrelationsbetweenfutures
andcashpricechanges.Figureswith“Correlation”inthetitledepictrolling
correlationsbetweenthefuturesprices(frontandbackmonth)andcashpricein
thetitle.Thosewith“BCAG”inthetitlearebasedontheBCAGmethodology,while
thosewith“GARCHBCAG”arederivedusingtheGARCHBCAGmethodology.Each
figuredepictshedgingperformancebeginninginMarch,1990andendinginJuly,
2009.Ipresentthetimeseriesofhedgingeffectivenessoveralongtimeperiodin
ordertoputtheeventsofLH2008‐FH2009inhistoricalperspective.
SomegeneralobservationsareinorderbeforeIpresentamoredetailed
analysis.First,regardlessofthemethodology,correlation/hedgingeffectiveness
variesovertime.Therefore,itisnecessaryandusefultoevaluateperformance
duringaparticularperiodwithreferencetoperformanceoverotherperiods.
Second,thelevelandvariabilityofcorrelationsalsodiffersacrossproducts.Not
surprisingly,correlationsformoreclosely‐relatedcommodities(e.g.,CLandLLS)
tendtobehigher,andexhibitlessvariationthancorrelationsforlessclosely‐related
ones(e.g.,CLandGCG).
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Withthoseconsiderationsinmind,firstconsidertherollingcorrelation
charts.
Anexaminationoftherollingcorrelationssupportsseveralfindings:
1. CorrelationsforWTIfrontandbackmonthcontractsdeclinedcommencinginlate‐2008,andreturnedtolevelscomparabletothoseobservedinearlierperiodsattheendof1Q09.Thetimingofthedeclinedifferedamongcashgrades,withtheDubaicorrelationdecliningbeginninginOctober,andtheLLSandBrentcorrelationsdecliningbeginninginDecember.
2. ForfrontmonthWTI,thedeclineincorrelationwaslessseverethanhadbeenobservedatearliertimes,withtheexceptionofDubai,wherehedgingeffectivenessplungedto0beforereboundingsharply.
3. DeclinesinbackmonthWTIcorrelationwerefarlessseverethanforfront
month.Moreover,mostofthedeclinesweremodest,andofamagnitudesmallerthannumerousdeclinesobservedinprioryears.Thus,therollingcorrelationanalysisimpliesthatthefinancialcrisisdidnothavearemarkablylargeimpactonthehedgingeffectivenessofthebackmonthcontract.
4. Brentrollingcorrelationsalsodeclinedduringtheperiodofthefinancial
crisis.Thecorrelationdeclineswereofamagnitudesimilartothoseobservedfrequentlyinprioryears.
5. IncontrasttoWTI,thedeclineinBrenthedgingeffectivenesswas(slightly)
largerforthefirstdeferredcontractthanthefrontmonthcontract.
6. ForbothWTIandBrent,thelargestdeclineinhedgingeffectivenesswasobservedforDubai,andforthiscashgrade,thedeclineinWTIhedgingeffectivenesswasgreater.Thisisnotsurprising,giventhegenerallycloserrelationbetweenDubaiandBrent.
Inbrief,therollingcorrelationdatashowthatthefinancialcrisisandits
associatedeffectsoncrudemarketscausedadeclineinhedgingeffectiveness,but
despitetheunprecedentednatureofthecrisis,thedeclineinhedgingeffectiveness
wasnotunprecedentedlylarge.ThefrontmonthWTIcontractwasmostadversely
affected.ThislikelyreflectsthetechnicalfactorsdiscussedinsectionsIIIandV.In
19
contrast,thefirstdeferredWTIhedgingeffectivenesswasnotasseriouslyaffected,
andbehavedsimilarlytotheeffectivenessoftheBrentcontracts.
NextconsidertheGARCHBCAGhedgingeffectivenessestimates.
7. WTIfrontmonthandbackmonthhedgingeffectivenessdeclined4Q08,andreboundedtoreachpre‐crisislevelsattheendof1Q09.ThedeclineincorrelationforthefrontmonthwaslargerduringthisperiodthanestimatedpreviouslyforCLFront‐DatedBrent,CLFront‐Dubai,CLBack‐Dubai,CLFront‐GCG,andCLFront‐LLS.7Thus,withtheexceptionofDubai,thedeclineincorrelationforthefirstdeferredcontractduringthefinancialcrisiswasofamagnitudesimilartootherdeclinesobservedinthe1990‐FH2008period.
8. WiththeexceptionofGasoil,Brentfrontmonthandbackmonthhedgingeffectivenessalsodeclined4Q08,andreboundedto(approximately)pre‐crisislevelsattheendof1Q09.Theobservedcorrelationdeclineswerenotunprecedentedlylarge,becausesimilar(orlarger)declinesoccurredinprioryears.
Finally,considertheresultsfortheBCAGanalysis.
9. Again,WTIhedgingeffectivenessdeclinedduringtheperiodofthefinancialcrisisforallcashgradesconsidered.Thedeclineswerelargerforthefrontmonthcontract.Moreover,thedeclinesweretypicallylargerduringLH09‐FH08thanhadbeenobservedinprioryears..
10. Brentcorrelationsdeclinedduringtheperiodofthecrisis,butthesedeclinesweresmallrelativeto(a)thedeclinesthathadbeenobservedpreviously,and(b)thedeclinesobservedforWTI.
11. ThedifferentialperformancebetweenWTIandBrentundertheBCAG
measurereflectsthefactthatinthismodeltheestimatedeffectofcontangooncorrelationissmallerforBrent,thanWTI.ThiscouldreflecttheimpactofconstraintsattheCushingdeliverypointonWTIcashpricedynamics.AswillbediscussedinsectionVbelow,largeCushingstoragelevels(andconsequentlylargeCLcontango)clearlyaffectsWTIpricing.
Overall,thehedgingeffectiveness/correlationresultsdemonstratethatthe
financialcrisisdiddegradehedgingeffectivenessforboththeWTIandBrent
futures.ThedeclinewasmostpronouncedforfrontmonthWTI.Thecorrelation
7TherewasinsufficientdatatoestimatethismodelforMARS.
20
declinesforbackmonthWTIandthetwoBrentcontractsconsideredwere
comparable,andfortwoofthethreemeasuresconsidered,ofamagnitudesimilarto
declinesobservedinprior,non‐crisisperiods.
OneinterestingfindingisthatthedeclineinCLfrontmonthhedging
effectivenessforWTSwasnoticeablysmallerthanforothercashgradesconsidered.
Thisistrueforallthreemeasuresofhedgingeffectiveness:rollingcorrelation,and
thetwoGARCHmeasures.ThisprovidesevidencethatMidcontinentpricerelations
werelessaffectedthanrelationsbetweentheMidcontinentandotherregions.
GiventhatWTS(basedonMidland,TXprices)istributarytotheNYMEXdelivery
locationatCushing,thissuggeststhatallMidcontinentoilswerereflectingcommon
fundamentalsrelatedtoconditionsattheCushingmarket,andthatthe
Cushing/Midcontinentfundamentalsweresomewhatuniqueandlocation‐specific.
V. FundamentalsandPriceBehavior
Althoughunusualpricebehaviorcansometimesbeidentifiedthroughan
examinationofpricedataalone,quantitydatacangreatlyimprovetheabilityto
identifysuchbehavior,andtoassistinthediagnosisofitscauses.Inthissection,I
examinefuturespriceandinventorydatatogethertoshedadditionallightonthe
performanceofcrudeoilpricebenchmarksduringtheLH2008‐FH2009period.
Theeconomictheoryofstorablecommoditiesimpliesthatfuturesspreads
(e.g.,thedifferencebetweenthenearbyanddeferredprices)shouldcovarywith
inventoriesofthecommodityinaspecificway.Inparticular,thedifferencebetween
thedeferredpriceandthenearbypriceshouldbegreater,thegreaterthequantity
ofinventories.Thisrelationshipshouldbeclosestbetweenspreadsandstocksat
21
thecontractdeliverypoint(ratherthanamoreaggregatedinventoryfigure),andfor
contractswithrelativelyshorttimestoexpiration.Itisimportanttonotethat
spreadsdonotcauseinventories,orviceversa;pricesandinventoriesare
determinedsimultaneously,andtherelationjustdescribedisanequilibriumone.
Deviationsinthepredictedrelationshipareindiciaofpotentialproblemsin
theperformanceofafuturescontract.Forinstance,highinventoriesinconjunction
withaseverebackwardationisaclassicindicatorofasqueeze.
Thefiguretitled“CLFront‐BackSpreadvs.CushingStocks”depictsthe
relationbetweenthespreadbetweenthefirstdeferredandnearbyWTIcontracts
(verticalaxis)andcrudeoilinventories(inmmbbl)attheCLdeliverypoint,
Cushing,OK.The(weekly)dataextendfrom9April,2004to17July,2009.
Notethatformostofthepointsinthefigure,thetheoreticallypredicted
relationholds;spreadsrisewithstocks.Thesepoints,forthemostpart,correspond
tostocklevelsoflessthan30millionbarrels,andmostofthesepointscorrespondto
datesbefore1October,2008.Indeed,forthe9April,2004‐26September,2008
period,thecorrelationbetweenCushingstocksandWTIspreadsis.7192,indicating
thatthespreadsandinventoriescovariedaspredictedbythefundamentals‐based
economictheoryofstorablecommoditypricebehavior.
Therearesomepointsinthegraphthatareoutliers.Inparticular,thepoint
withaspreadof$8.49/bbl,andaninventorylevelof28.68mmbblisdistantfrom
theotherpointsinthescatter.Thispointcorrespondstotheexpirationdateofthe
January,2009contract(19December,2008).Giventhespreadlevelsofaround
$2/bblforotherpointswithsimilarstocklevels,thislargespreadstandsout.It
22
shouldbenoted,moreover,thatcashWTIspreadswerealmostidentical,and
remainedthiswidethedayaftertheexpirationoftheJanuarycontract.
Moreover,itisinformativetonotethatthedispersionofspreadsforstock
levelsofapproximately35mmbblissubstantiallygreaterthanthedispersion
observedforlowerstocklevels.Thesespreadsrangefrombetween$.78/bbland
$6.06/bbl.Incontrast,forstocklevelsofabout25mmbbl,thespreadsrangefrom
$.54/bblto$3.16/bbl,andallbutoneofthesespreadsislessthan$2.00/bbl.
Thisgreaterdispersioninspreads,whichcorrespondsprimarilytothefirst
quarterof2009,likelyreflectsatleastinpart,ahighlyinelasticmarginalcostof
storageatCushing.Suchinelasticitywouldbeexpectedasthequantitystoredat
Cushingnearseffectivecapacity.AlthoughnominalcapacityatCushingwasfar
higherduringthisperiod(approximately47.5mmbbl),effectivecapacitycanbe
lowerduetooperationalconstraints,andthefactthatdifferenttypesofoilthat
cannotbemixedareheldininventoryatCushing.
Moreover,asnotedearlier,themarketforspreadsisdiscoveringthepriceof
storage.ThemarketforstorageinCushingisasearchmarket,andanegotiatedone.
Highuncertainty,andasurgeofoilseekingstorageinCushing(reflectedinthelarge
increaseinstocksatCushingdiscussedbelow)wouldtendtoincreasesearchand
negotiationcosts,andleadtogreaterdispersioninthepriceofstorageacross
transactionsnegotiatedatapproximatelythesametime,andovertime.Thus,one
wouldexpectthatthemassiveincreasesinuncertaintyandthedemandforstorage
wouldleadtogreaterdispersioninpricerelationsasthemarketgropedtodiscover
23
theappropriateshadowpriceofstorageinhighlydynamic,uncertain,andfluid
conditions.
Eventhoughtherewasgreaterdispersioninthespread‐stocksrelationinthe
periodafterthefinancialcrisishitwithitsfullforce,itisevidentthatfundamentals
werestillrelevantindeterminingthisrelation.Thecorrelationbetweenspreads
andstocksduringthe3October,2008‐17July,2009periodwas.4844.Thisisnot
ashighasobservedinprioryears,whichprovidesfurtherevidenceoftheeffectof
storageconstraintsatCushing,butitisstillpositiveastheorypredicts,andis
economicallydifferentfromzero.
ThereisotherevidencethatsuggeststhatCushingconstraintsaffected
pricingoftheWTIcontract.Thefiguretitled“CLFront‐BackSpreadvs.USStocks”
plotsthenearby‐firstdeferredWTIspreadagainstthetotaloilstocksintheUnited
StatesreportedbytheEIAfortheJanuary,2000‐July,2009period.Noteagainthat
mostpointsinthefigureexhibitthetheoreticallypredictedrelation;higherstocks
areassociatedwithgreaterspreads.Indeed,duringtheperiodJanuary,2000‐
August,2008,thiscorrelationwas.6459.Giventhehighdegreeofaggregationof
thestockdata(whereaggregationisacrossspaceandgrades),thiscorrelationis
surprisinglyhigh.
However,thereareasetofpointsintheupperpartofthediagramthat
deviatequitenoticeablyfromthemainbodyofpointsinthescatterdiagram.These
pointswithhighspreadsandrelativelymoderatelevelsofinventories,correspond
totheheightofthefinancialcrisis,October,2008‐March,2009.Theyindicatethat
WTIspreadswerefarhigherduringthisperiodthanonewouldhavepredicted
24
given(a)thelevelofUSstocksobservedduringthisperiod,and(b)therelation
betweenUSstocksandspreadsfromtheperiodpriortothecrisis.Thisfurther
suggeststhatconstraintsatCushingwereaffectingthepricingoftheWTIcontract
duringtheheightofthefinancialcrisis.
ThecorrelationbetweenUSstocksandspreadsduringthisperiodprovides
additionalevidenceofthis.ThecorrelationbetweenUSstocksandspreadsduring
the1September,2008‐17July,2009periodwasonly.1613(incontrasttothe.6459
correlationobservedfrom2000totheendofAugust,2008).Thisprovides
evidencethatWTIpricesweremoregreatlyaffectedbyCushing‐specificfactors
duringthisperiod,thanhadbeenthecaseinprioryears.
ItisinterestingtonotethatBrentfuturesspreadsalsoexhibitedaweaker
relationwithfundamentals(asproxiedbystocks)duringtheperiodofthefinancial
crisis.Indeed,thedegradationintherelationbetweeninventoriesandspreadswas
morepronouncedforBrentthanforWTI.
Specifically,fromJanuary,2000‐August,2008,thecorrelationbetweenBrent
spreadsandUSinventorieswas.5207.ThisissmallerthantheWTI‐USstocks
correlation,butthisistobeexpectedasBrentismoreout‐of‐positionrelativetoUS
stocksthanisWTI.Nonetheless,thepositiverelationship(whichisalsostatistically
significant)isconsistentwiththeviewthatUSstocksrespondedtoglobalsupply‐
demandfactors,andthatBrentspreadsreflectedthesefundamentals.Duringthe
period1September,2008‐17July,2009,however,thecorrelationbecamenegative:
‐.5536tobeexact.ThisisdiametricallyopposedtothebehaviorofBrentspreads
priortothefinancialcrisis,andisnotwhatonewouldexpecttoobserveifBrent
25
spreadswerereflectingworld‐widesupply‐demandfundamentals.SinceUSand
OECDstocksexhibitedsimilarmovementsduringthistimeperiod,thisraises
questionsaboutwhetherBrentspreadsreflectedfundamentals(ascapturedby
OECDinventories)duringthisperiod.
Insum,thereisevidencethatthefinancialcrisishadamarkedeffectonthe
performanceofbothoilpricebenchmarks.Themostplausibleexplanationisthat
thecrisissharplycurtailedthedemandforoil.Giventheinelasticityofoil
productionintheveryshortrun,thissharpdemanddeclinecouldonlybe
accommodatedbyasharpdropinprices,andasubstantialincreaseininventoriesof
crude.InventoriesinCushingrosedramatically,apparentlyapproachingthe
effectivestoragecapacitythere.Asinventoriesapproachedeffectivestorage
capacity,themarginalcostofstorageatCushingbecameveryinelastic.Since
spreadswithlargepositiveinventorylevelsequalthemarginalcostofstorage,this
inelasticitymakesspreadsmorevolatile,sinceasaresultofthisinelasticitysmall
changesinstorage,orsmallchangesineffectivestoragecapacity(duetooperational
considerations),leadtosubstantialchangesinspreads.Theseeffectsareamplified
bytheeffectsofgreateruncertaintyandasharpincreaseinthedemandforstorage
ontransactionscostsinthemarketforphysicalstorage.
Thefigurelabeled“CushingStocks”depictsthemarkedincreaseinCushing
stocksstartinginearly‐October,2008.Stocksrosetothelargestabsolutelevel
observedinthesampleperiod,androsemorerapidlythanatanytimeduringthis
period.Moreover,itshouldbenotedthatthefractionofUSstocksheldinCushing
alsoroserapidly,toalevelnotobservedheretofore.Thisisillustratedinthefigure
26
labeled“CushingStocks/USStocks,”whichshowsthatthisratiorosetoarecord
highbyJanuary,2009,andtherateofincreasetoreachthathighmorewasmore
rapidthanobservedpreviously.
Therefore,thebehaviorinWTIfuturespricesandspreadsduringtheperiod
ofthefinancialcrisismostlikelyreflectedconstraintsontheCushingdeliverypoint
thatwereexacerbatedbyanunprecedenteddeclineindemand,andaconcomitant
unprecedentedincreaseininventories.8
VI. SummaryandConclusions
Thefinancialcrisisof2008‐2009hadapronouncedeffectonthebehaviorof
oilprices,andtheperformancesofthetwoprimarypricebenchmarks,WTIfutures,
andBrentfutures.Thecrisiswasassociatedwithadramaticincreaseinprice
volatility;awideningofspreads;anincreaseinthevolatilityofthesespreads;anda
declineinhedgingeffectiveness.Theseeffectswereevidentforfrontmonthand
secondmonthWTIandBrent,butweremostpronouncedforfrontmonthWTI,
especiallywithinafewdaysofcontractexpiration.
Thefinancialcrisiswasalsoassociatedwithanunprecedentedspikeinoil
inventoriesintheUnitedStatesandaroundtheworld,andattheWTIdeliverypoint
ofCushing,Oklahoma.Theeconomictheoryofstorablecommoditypricing,andthe
data,stronglysuggestthatthisphenomenonisconnectedwiththebehaviorofprice
benchmarksduringthefinancialcrisis.
8ItshouldbenotedthatoperatorsatCushingaddedapproximately8millionbarrelsofcapacityduring2008.
27
Specifically,inanefficientlyoperatingmarket,asharpdemanddeclinelike
thatcausedbythefinancialcrisisshouldleadtoalargeincreaseininventory.This
largeaccumulationcancausestockstoapproachcapacityconstraintsatapointlike
Cushing.AlthoughstorageatCushingwaslessthannominalcapacitythereeven
wheninventoriespeaked,thedatasuggestthatCushingwaseffectivelyconstrained,
andthatasaresult,thesupplyofstoragewasextremelyinelastic.Since(a)ina
marketwithlargestoragenearby‐deferredspreadspricethemarginalcostof
storage,and(b)whenthemarginalcostofstorageishighlyinelastic,small
fundamentalshockshavelargeeffectsonthismarginalcost,then(c)such
fundamentalshockswillhavelargeeffectsonspreads.Moreover,thedramatic
increaseinuncertaintyandanincreaseinthedemandforstoragelikelyincreased
transactionscosts,andthedispersionandvolatilityofnegotiatedstorageratesat
Cushing.
Thus,thebehaviorofpricingbenchmarksduringtheperiodofthefinancial
crisiswasdrivenbytheextraordinarycircumstancesofthatperiod,andarenota
harbingerofperformanceundermorenormalcircumstances.
Itshouldbeemphasizedthattheseeffectswereconcentratedduringthe
periodofsevereworldwideeconomiccontractionandextremevolatilityinthe
autumnof2008andthewinterof2008‐2009.Theperformanceofthepricing
benchmarkshadlargelyreturnedtopre‐crisislevelsbyearly‐spring,2009.
ForbothWTIandBrent,thereisevidencethattechnicalfactorsassociated
withexpirationinjectadditionalvolatilityintothepriceintheexpiringfuture.
TheseproblemsweremoresevereforWTIduringtheperiodofthefinancialcrisis,
28
likelyduetothefactthattheaforementionedconstraintsatCushingexacerbatedthe
effectsofexpiration‐driventechnicalfeatures.ThesimilarbehaviorofWTS
suggeststhatthisphenomenonwascausedbyfundamentalconditionsinthe
Midcontinentmarket,ratherthanfactorsspecifictotheNYMEXWTIfutures
contract.Althoughnotimmaterial,theimportanceofthisisdiminishedbythefact
thatmostinteresthasrolledtothenext‐expiringcontractwellbeforetheseeffects
becomemanifest.
Evenduringtheheightofthefinancialcrisis,WTIpricingrelationships
continuedtoco‐varywithfundamentalsaspredictedbyeconomictheory.In
particular,spreadswidenedasinventories(USandCushing)declined(andvice
versa),althoughthisrelationwasweakerthanthatobservedpriortothecrisis.In
contrast,inareversalfrompre‐crisisbehavior,duringthecrisis,Brentspreads
exhibitedanegativecorrelationwithinventories(USandCushing);thisisopposite
fromwhatonewouldexpectedtoobserveinacompetitivemarketthataccurately
reflectsfundamentals.Thissuggeststhatanydivergencesbetweenthehedging
performanceofWTIandBrentarenotclearlyattributabletothelatterreflecting
fundamentalsandtheformernot.Infact,thestock‐spreadrelationsuggeststhatthe
oppositeisthecase.
CL Front-LLS Variance (BCAG)
0
0.005
0.01
0.015
0.02
0.025
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Date
FrontCash
CL Front-Back Log Difference
-0.2
-0.15
-0.1
-0.05
0
0.05
0.1
0.15
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5
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05
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11/1
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9
Date
CB Front-Back Log Difference
-0.08
-0.07
-0.06
-0.05
-0.04
-0.03
-0.02
-0.01
0
0.01
0.02
7/18
/200
5
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5
11/1
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05
1/18
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6
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Date
US Oil Nearby- First Deferred Spreads
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
3-Nov-08
10-Nov-08
17-Nov-08
24-Nov-08
1-Dec-08
8-Dec-08
15-Dec-08
22-Dec-08
29-Dec-08
5-Jan-09
12-Jan-09
19-Jan-09
26-Jan-09
2-Feb-09
9-Feb-09
16-Feb-09
23-Feb-09
WTS LLS WTI NYMEX WTI
CL-Dated Brent Rolling Correlation
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.0000
3/20
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Date
FrontBack
CL-Dubai Rolling Correlation
0.0000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.0000
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Date
FrontBack
CL-LLS Rolling Correlation
0.6000
0.6500
0.7000
0.7500
0.8000
0.8500
0.9000
0.9500
1.0000
3/20
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FrontBack
CL-MARS Rolling Correlation
0.6000
0.6500
0.7000
0.7500
0.8000
0.8500
0.9000
0.9500
1.0000
8/17
/199
9
12/1
7/19
99
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Date
FrontBack
CL GCG Correlation
0.0000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.0000
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Date
FrontBack
CB-Dated Brent Rolling Correlation
0.5000
0.5500
0.6000
0.6500
0.7000
0.7500
0.8000
0.8500
0.9000
0.9500
1.0000
3/27
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/199
5
3/27
/199
6
3/27
/199
7
3/27
/199
8
3/27
/199
9
3/27
/200
0
3/27
/200
1
3/27
/200
2
3/27
/200
3
3/27
/200
4
3/27
/200
5
3/27
/200
6
3/27
/200
7
3/27
/200
8
3/27
/200
9
Date
FrontBack
CB-Dubai Rolling Correlation
0.0000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.0000
3/20
/199
0
3/20
/199
1
3/20
/199
2
3/20
/199
3
3/20
/199
4
3/20
/199
5
3/20
/199
6
3/20
/199
7
3/20
/199
8
3/20
/199
9
3/20
/200
0
3/20
/200
1
3/20
/200
2
3/20
/200
3
3/20
/200
4
3/20
/200
5
3/20
/200
6
3/20
/200
7
3/20
/200
8
3/20
/200
9
Date
FrontBack
CB-Singapore Rolling Correlation
0.0000
0.1000
0.2000
0.3000
0.4000
0.5000
0.6000
0.7000
0.8000
0.9000
1.0000
3/20
/199
0
3/20
/199
1
3/20
/199
2
3/20
/199
3
3/20
/199
4
3/20
/199
5
3/20
/199
6
3/20
/199
7
3/20
/199
8
3/20
/199
9
3/20
/200
0
3/20
/200
1
3/20
/200
2
3/20
/200
3
3/20
/200
4
3/20
/200
5
3/20
/200
6
3/20
/200
7
3/20
/200
8
3/20
/200
9
Date
FrontBack
CL Front-Brent Correlation (GARCH BCAG)
0.4
0.5
0.6
0.7
0.8
0.9
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Back-Brent Correlation (GARCH BCAG)
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Front-Dubai Correlation (GARCH BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Back-Dubai Correlation (GARCH BCAG)
0.4
0.5
0.6
0.7
0.8
0.9
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Front-GCG Correlation (GARCH BCAG)
0.4
0.5
0.6
0.7
0.8
0.9
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Back-GCG Correlation (GARCH BCAG)
0.4
0.5
0.6
0.7
0.8
0.9
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Front-LLS Correlation (GARCH BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Back-LLS Correlation (GARCH BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Back-Dated Brent Correlation (BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Front-Dated Brent Correlation (BCAG)
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Front-GCG Correlation (BCAG)
0.4
0.5
0.6
0.7
0.8
0.9
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Front-GCG Correlation (BCAG)
0.4
0.5
0.6
0.7
0.8
0.9
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Back-MARS Correlation (BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
8/10
/199
9
12/1
0/19
99
4/10
/200
0
8/10
/200
0
12/1
0/20
00
4/10
/200
1
8/10
/200
1
12/1
0/20
01
4/10
/200
2
8/10
/200
2
12/1
0/20
02
4/10
/200
3
8/10
/200
3
12/1
0/20
03
4/10
/200
4
8/10
/200
4
12/1
0/20
04
4/10
/200
5
8/10
/200
5
12/1
0/20
05
4/10
/200
6
8/10
/200
6
12/1
0/20
06
4/10
/200
7
8/10
/200
7
12/1
0/20
07
4/10
/200
8
8/10
/200
8
12/1
0/20
08
4/10
/200
9
CL Front-LLS Correlation (BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Back-LLS Correlation (BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CL Front-MARS Correlation (BCAG)
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
8/10
/199
9
12/1
0/19
99
4/10
/200
0
8/10
/200
0
12/1
0/20
00
4/10
/200
1
8/10
/200
1
12/1
0/20
01
4/10
/200
2
8/10
/200
2
12/1
0/20
02
4/10
/200
3
8/10
/200
3
12/1
0/20
03
4/10
/200
4
8/10
/200
4
12/1
0/20
04
4/10
/200
5
8/10
/200
5
12/1
0/20
05
4/10
/200
6
8/10
/200
6
12/1
0/20
06
4/10
/200
7
8/10
/200
7
12/1
0/20
07
4/10
/200
8
8/10
/200
8
12/1
0/20
08
4/10
/200
9
Date
CB Front-Brent Correlation (GARCH BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CB Back-Brent Correlation (GARCH BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CB Front-Dubai Correlation (GARCH BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CB Back-Dubai Correlation (GARCH BCAG)
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CB Back-Gasoil Correlation (GARCH BCAG)
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
12/1
3/19
89
12/1
3/19
90
12/1
3/19
91
12/1
3/19
92
12/1
3/19
93
12/1
3/19
94
12/1
3/19
95
12/1
3/19
96
12/1
3/19
97
12/1
3/19
98
12/1
3/19
99
12/1
3/20
00
12/1
3/20
01
12/1
3/20
02
12/1
3/20
03
12/1
3/20
04
12/1
3/20
05
12/1
3/20
06
12/1
3/20
07
12/1
3/20
08
Date
CB Front-Gasoil Correlation (GARCH BCAG)
0.5
0.55
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
12/1
3/19
89
12/1
3/19
90
12/1
3/19
91
12/1
3/19
92
12/1
3/19
93
12/1
3/19
94
12/1
3/19
95
12/1
3/19
96
12/1
3/19
97
12/1
3/19
98
12/1
3/19
99
12/1
3/20
00
12/1
3/20
01
12/1
3/20
02
12/1
3/20
03
12/1
3/20
04
12/1
3/20
05
12/1
3/20
06
12/1
3/20
07
12/1
3/20
08
Date
CB Front-Singapore Correlation (GARCH BCAG)
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CB Back-Singapore Correlation (GARCH BCAG)
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CB Front-Dated Brent Correlation (BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CB Back-Dated Brent Correlation (BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CB Front-Dubai Bag Correlation (BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CB Back- Dubai (BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CB Front-Gasoil Correlation (BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
12/1
3/19
89
12/1
3/19
90
12/1
3/19
91
12/1
3/19
92
12/1
3/19
93
12/1
3/19
94
12/1
3/19
95
12/1
3/19
96
12/1
3/19
97
12/1
3/19
98
12/1
3/19
99
12/1
3/20
00
12/1
3/20
01
12/1
3/20
02
12/1
3/20
03
12/1
3/20
04
12/1
3/20
05
12/1
3/20
06
12/1
3/20
07
12/1
3/20
08
Date
CB Back-Gasoil Correlation (BCAG)
0.6
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
12/1
3/19
89
12/1
3/19
90
12/1
3/19
91
12/1
3/19
92
12/1
3/19
93
12/1
3/19
94
12/1
3/19
95
12/1
3/19
96
12/1
3/19
97
12/1
3/19
98
12/1
3/19
99
12/1
3/20
00
12/1
3/20
01
12/1
3/20
02
12/1
3/20
03
12/1
3/20
04
12/1
3/20
05
12/1
3/20
06
12/1
3/20
07
12/1
3/20
08
Date
CB Front-Singapore ( BCAG)
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
CB Back-Singapore Correlation (BCAG)
0.3
0.35
0.4
0.45
0.5
0.55
0.6
3/13
/199
0
3/13
/199
1
3/13
/199
2
3/13
/199
3
3/13
/199
4
3/13
/199
5
3/13
/199
6
3/13
/199
7
3/13
/199
8
3/13
/199
9
3/13
/200
0
3/13
/200
1
3/13
/200
2
3/13
/200
3
3/13
/200
4
3/13
/200
5
3/13
/200
6
3/13
/200
7
3/13
/200
8
3/13
/200
9
Date
10 15 20 25 30 35-2
0
2
4
6
8
10
Stocks
Spr
ead
CL Front-Back Spread vs. Cushing Stocks
260 280 300 320 340 360 380-4
-2
0
2
4
6
8
10CL Front-Back Spread vs. US Stocks
Stocks
Spr
ead
Cushing Stocks
0.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
40.004/
9/20
04
6/9/
2004
8/9/
2004
10/9
/200
4
12/9
/200
4
2/9/
2005
4/9/
2005
6/9/
2005
8/9/
2005
10/9
/200
5
12/9
/200
5
2/9/
2006
4/9/
2006
6/9/
2006
8/9/
2006
10/9
/200
6
12/9
/200
6
2/9/
2007
4/9/
2007
6/9/
2007
8/9/
2007
10/9
/200
7
12/9
/200
7
2/9/
2008
4/9/
2008
6/9/
2008
8/9/
2008
10/9
/200
8
12/9
/200
8
2/9/
2009
4/9/
2009
6/9/
2009
Date
mbb
l
Cushing Stocks/US Stocks
0.00%
2.00%
4.00%
6.00%
8.00%
10.00%
12.00%
4/9/
2004
6/9/
2004
8/9/
2004
10/9
/200
4
12/9
/200
4
2/9/
2005
4/9/
2005
6/9/
2005
8/9/
2005
10/9
/200
5
12/9
/200
5
2/9/
2006
4/9/
2006
6/9/
2006
8/9/
2006
10/9
/200
6
12/9
/200
6
2/9/
2007
4/9/
2007
6/9/
2007
8/9/
2007
10/9
/200
7
12/9
/200
7
2/9/
2008
4/9/
2008
6/9/
2008
8/9/
2008
10/9
/200
8
12/9
/200
8
2/9/
2009
4/9/
2009
6/9/
2009
Date