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Internship Report on Investment Mechanism of IBBL

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  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

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    PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDS

    INBANGLADESH

    SUBMITTEDTODR.MAHMOODOSMANIMAM

    PROFESSORDEPARTMENTOFFINANCEUNIVERSITYOFDHAKA

    SUBMITTEDBYKAWSERAHMEDSHIBLUBBA13THBATCH,SECTION:B

    IDNO.:13008

    DEPARTMENTOFFINANCEUNIVERSITYOFDHAKA

    OCTOBER31,2011

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    LETTEROFTRANSMITTAL

    October31,2011.

    Dr.MahmoodOsmanImamProfessor,DepartmentofFinanceUniversityofDhakaDearSir,

    IamverygladtosubmityoutheinternshipreportonPerformanceEvaluationofSelectedMutual Funds in Bangladesh. Iwould like to say that this reportwas helpful forme toapplyourbookishknowledgeaboutdifferentstrategiestoevaluateportfolioperformanceinpractical case. I amvery thankful toyou forgivingmesucha fantasticopportunity tomakeareportonthistopicaccordingtoyourguideline.

    Analyzingthemutualfunds,Ihavealsogatheredknowledgeabouttheconditionofmutualmarketsectorofthestockexchange.Wehavetriedtoshowourfindingsinthisreport.

    Iwillbehonoredifyoufindthissubmissioninappropriatemanner.Ifyouhaveanyqueryregardingmyanalysis,hopethatyouwillcalluponme.YoursSincerely.KAWSERAHMEDSHIBLUIDNo.:13008SectionB,13thBatchB.B.A.Dept.ofFinanceUniversityofDhaka

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    DECLARATION

    IamverythankfulandgratefultoalmightyAllahwhohasgivenmethestrengthandabilitytocompletethisreport.IamalsogratefultomyhonorableteacherDr.MahmoodOsmanImam.

    I also do sincerely declare that this internship report has been submitted, in partial

    fulfillment of the requirement for the fulfillment ofmy graduation degree. The report iswrittenfrommy knowledge; but it ismentionable that I have gathered ideas from some articles, reportwhich is mentioned in the reference part. I understand that the paper may be cancelled ifsubsequently it is discovered that this is not ourprimevalwork and that it consists ofmaterialscopiedorplagiarizedorborrowedwithoutproperacknowledgement.

    I,atlast,expressspecialthanksfromthebottomofmyheart toallwhohelpmedirectly&indirectlytocompletethisreport.

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    TABLEOFCONTENTSExecutiveSummary..................................................................................................................................................................................071.0Introduction.........................................................................................................................................................................................09

    1.1ObjectiveoftheStudy.............................................................................................................................................................................101.2Methodology...............................................................................................................................................................................................10

    1.2.1ResearchApproach...........................................................................................................................................................101.2.2SamplingPlan......................................................................................................................................................................101.2.3SelectionofIndex..............................................................................................................................................................101.2.4Sourcesofdata.....................................................................................................................................................................101.2.5SoftwareUsed.....................................................................................................................................................................101.2.6MeasuresUsed.....................................................................................................................................................................111.2.7proceduresofDataAnalysis........................................................................................................................................11

    1.3ResearchTimeHorizon..........................................................................................................................................................................111.4Limitations..................................................................................................................................................................................................11

    2.0LiteratureReviewonPerformanceEvaluationofMutualFunds......................................................................................122.1Concepts&Terminology:..........................................................................................................................................................1314

    2.1.1MutualFund.........................................................................................................................................................................132.1.2TheRiskFreeRate............................................................................................................................................................132.1.3SystematicRisk.................................................................................................................................................................132.1.4UnsystematicRisk............................................................................................................................................................132.1.5CapitalMarketLine...........................................................................................................................................................132.1.6SecurityMarketLine........................................................................................................................................................14

    2.2PerformanceEvaluationTools:..............................................................................................................................................15192.2.1TheTreynorMeasure(1965).......................................................................................................................................152.2.2TheSharpeMeasure(1966).........................................................................................................................................162.2.3Mmeasure:ModiglianiandModigliani(1997).................................................................................................162.2.4MarketadjustedRiskPerformance(MRAP)..........................................................................................................172.2.5JensenAlpha(1968).........................................................................................................................................................172.2.6HighermomentmeasureofHwangandSatchell(1998)................................................................................182.2.7InformationRatio..............................................................................................................................................................192.2.8EfficiencyRatio..................................................................................................................................................................192.2.9CoEfficientofDetermination(R2).............................................................................................................................19

    2.3FamaDecompositionofMutualFundsReturns:...........................................................................................................20212.3.1RiskpremiumDuetoRisk............................................................................................................................................202.3.2InvestorsRisk....................................................................................................................................................................202.3.3Managers;Risk.....................................................................................................................................................................202.3.4RiskpremiumDuetoGrossSelectivity...................................................................................................................202.3.5ImpactofImperfectDiversification...........................................................................................................................202.3.6NetSuperiorReturnforSelectivity............................................................................................................................21

    2.4TimingSkill:......................................................................................................................................................................................22232.4.1TheTreynor&MazuyModel(1966)........................................................................................................................222.4.2HenrikssonandMerton.......................................................................................................................................2223

    3.0MutualFundsinBangladesh:AnOverview...............................................................................................................................243.1BangladeshEconomy,CapitalMarket&MutualFunds:...........................................................................................2529

    3.1.1BangladeshEconomy.................................................................................................................................................25263.1.2CapitalMarket...............................................................................................................................................................27283.1.3MutualFunds.......................................................................................................................................................................29

    3.2SelectionofMutualFund(M.F.):Profile............................................................................................................................30363.2.1ICBM.F.................................................................................................................................................................................31

    3.2.1.14thICBM.F....................................................................................................................................................313.2.1.26thICBM.F...................................................................................................................................................313.2.1.38thICBM.F...................................................................................................................................................31

    3.2.2ICBAMCL..............................................................................................................................................................................323.2.2.1ICBAMCL1stM.F......................................................................................................................................323.2.2.2ICBAMCLIslamicM.F.............................................................................................................................32

    3.2.3AIMSM.F.............................................................................................................................................................................333.2.3.1AIMS1stM.F................................................................................................................................................333.2.3.2GrameenOneM.F.....................................................................................................................................33

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    3.2.4RaceM.F..............................................................................................................................................................................343.2.4.1EBL1stM.F...................................................................................................................................................343.2.4.2TrustBank1stM.F....................................................................................................................................34

    3.2.5LRGlobalM.F....................................................................................................................................................................353.2.5.1DBH1stMutualM.F..................................................................................................................................353.2.5.2GreenDeltaM.F.........................................................................................................................................35

    3.2.3BSRSM.F..............................................................................................................................................................................36 3.2.3.11stBSRSM.F................................................................................................................................................36

    4.0DataAdjustment&Calculations:..................................................................................................................................................374.1AdjustmentofPrice.................................................................................................................................................................................384.2PreparingReturnSeries(UsingClosingPrice&NAV).............................................................................................................394.3CalculatingTBillRate(Monthly&Weekly)................................................................................................................................394.4CalculatingMarketReturn...................................................................................................................................................................394.5CalculatingMeanReturnforMarket&MutualFunds.............................................................................................................404.6CalculatingRiskforMarket&MutualFunds...............................................................................................................................40 4.6.1StandardDeviation...........................................................................................................................................................40 4.6.2Historical&AdjustedBeta.............................................................................................................................................41

    5.0PerformanceEvaluationofM.F..............................................................................................................................................42555.1PerformanceEvaluations:...............................................................................................................................................................43

    5.1.1TheTreynorMeasure(1965).................................................................................................................................43445.1.2TheSharpeMeasure(1966)...................................................................................................................................45465.1.3Mmeasure:ModiglianiandModigliani(1997).................................................................................................475.1.4Marketriskadjustedperformance(MRAP)measure.......................................................................................485.1.5JensenAlpha(1968)...................................................................................................................................................49505.1.6HighermomentmeasureofHwangandSatchell(1998)..........................................................................51525.1.7InformationRatio..............................................................................................................................................................535.1.8EfficiencyRatio...................................................................................................................................................................545.1.9CoEfficientofDetermination(R2).............................................................................................................................55

    5.3TimingSkill:............................................................................................................................................................................................565.3.1TheTreynor&MazuyModel(1966)..................................................................................................................57575.3.2HenrikssonandMerton......................................................................................................................................5859

    5.2FamaDecompositionofMutualFundsReturns:...........................................................................................................60615.2.1Selectivity5.2.2Diversification5.2.3NetSelectivity

    6.0Correlation,Comparison&Justification..............................................................................................................................62666.1ComparisonbetweenMarketReturn&ReturnofMutualFunds........................................................................................636.2CorrelationbetweenClosePrice&NAV,ClosePrice&DGEN..............................................................................................646.3JustifyingPrice:OverpricedorUnderpriced........................................................................................................................6566

    7.0Summary.......................................................................................................................................................................................67688.0AppendedPart.............................................................................................................................................................................6974

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    EXECUTIVESUMMARY

    Even as the stock markets have started maturing of age over the past one decade, thegrowthofmutual fundinBangladeshhasbeenslow.Onlyrecentlytherehasbeenarushfornewfunds.Manybanksandfinancialinstitutionscontinuetointhequeuewithproposalsfortheirfunds.Mutual fund isa fundundera trust. Investment inmutual fund is ideal for investorswhodonotwant to take risk because the fund is managed professionally and the collective investment isdiversified. The price of a closedend fund share is normally determined by the value of theinvestmentinthefund.Therefore,themarketpriceofafundshareisoftenclosetopershareNAV.However,thematurityofmutualfundsistakingitssweettimeandNAVsofmutualfundsarestillnotclosetotheirmarketvalueofsuchfunds.ItisseenthatmarketpriceofamutualfundsharecanattimesbemuchhigherthantheirNAVjustify.So,forsmallinvestorschoosingasuitableoneisacomplexdecision.

    Theobjectiveofthemystudyistofindoutthefactsandfiguresregardingtheperformanceof the selectedmutual fundswhich canbenefit the investor and fundmanger in selecting betterinvestmentbyconsidering theriskreturn factor. Insuchacontext,anattempthasbeenmade tostudytheperformanceofselectedmutualfundbasedontheriskandreturnrelationship.Soinmystudy,Itriedtofindtheansweroftheabovequestionswhetherthenmutualfundsharesareovervaluedorundervalueor rightlypriced.Here I also triedshowwhether thereturnof themutualfundonthebasisclosepriceishigherornotthanthatonthebasisofNAV,whetherthemutualfundisoverorunderperformingthemarket,whetherthepriceofmutualfundisstronglycorrelatedtotheNAV or to themarket index,DGEN etc. For this analysis purpose, I have selected 12mutualfundsunder6differentAssetManagementCompanies.

    In completingmy study onmutual fund, at first I have calculated themean returnof themutual funds using the both price and NAV data. Then I have compared themeanmutual fundreturnthemeanmarketreturntoseewhetherthemutualfundsareoverorunderperformingthemarket.HereIhavefoundthatincaseofthepricereturn7mutualfundsareoverperformingandincaseoftheNAVreturn,thereareonlytwomutualfundsoverperformingthemarket.

    AftercalculatingtheTmeasure,8mutualfundsareoverperformingonpricereturnbasisandincaseoftheNAVreturn;thereareonlytwomutualfundsoverperformingthemarket,whereoneofthesegeneratednegativereturn.Inthesameway,Smeasureshowsthatthereareonlytwomutual funds over performing themarket onprice returnbasis and three over performonNAVreturnbasis,whereoneofthesegeneratednegativereturn.

    JensenalphashowedthatthisnofundmanagerwhocanearnsuperiorreturnonthebasisofbothpriceandNAV.Ontheotherhand,rsquareisthemeasurementofdegreeofdiversificationson the mutual fund. So the higher the higher value of r square, the better the mutual fund isdiversified.Hereonthebasisofprice,onlyonemutualfundiswelldiversifiedandonthebasisofNAV,thereisonelowdiversifiedmutualfund.

    I also try to evaluate the fundmangers timing skill by using TreynorMazuymodel andHenriksson&Mertonmodel.BothTreynorMazuyandHenriksson&Mertonmodel shows threefundmanagers have significant negative timing skill. That is the fundmanagers are not efficientenoughtohandlethemutualfundefficientlywhichisalsovalidatedbylowerreturnperunitofrisk.Themanagerswhohavenegativetimingskillhavethelowerreturnperunitofrisk.By decomposing the actualmutual fund excess return, I determine the fundmanagers selectionskill.Onthebasisofthepricereturn,twofundmanagershavetheselectionskillandonthebasisoftheNAV,threefundmanagershavetimingskill.

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    Inthefollowingtabletheabovementionresultsareprovided.

    Tratio Sratio Rsquare Jesenalpha TimingSkill SelectionSkill

    CP NAV CP NAV CP NAV CP NAV CP NAV CP NAV

    4thICB Over(+) Undr() Over(+) Undr() low High insg(+) Insg() Insg() insg(+) Supr Infr*

    6thICB Over(+) Undr() Undr(+) Undr() low High insg(+) Insg() Sig() insg(+) infr infr

    8thICB Over(+) Undr() Undr(+) Undr() low High insg(+) Insg() Insg() insg(+) infr infr

    AMCL1st Over(+) Undr(+) Undr(+) Undr() low High insg(+) Insg() Insg() inig(+) infr infrAMCLIslmc

    Over(+) Undr() Undr(+) Undr() low low insg(+) Insg() Insg() insg(+) infr infr

    AIMS1st Over(+) Undr(+) Undr(+) Undr(+) low High insg(+) Insg() Insg() insg(+) infr infr

    Gramn1 Over(+) Undr(+) Undr(+) Undr(+) low High insg(+) Insg() Sig() insg(+) infr infr

    1stBSRS Over(+) Rm;(+) Over(+) Over(+) low High insg(+) insg(+) Sig() Insg() Supr Supr

    EBL1st Undr() Undr() Undr() Over() low High Insg() Insg() Insg() insg(+) infr infr

    Trust1st Undr() Over(+) Undr() Over(+) low High Insg() insg(+) Insg() insg(+) infr Supr*

    DBH Undr() Over() Undr() Undr() low High Insg() insg(+) Insg() Insg() infr Supr

    GrnDlta Undr() Undr() Undr() Undr() High High Insg() Insg() Insg() insg(+) infr infr

    **Suprindicatesuperiorskillandinfrisinferiorskill.

    By looking into the ratio of close price to NAV,we see that there are five fund are overperforming. By calculating the correlation coefficient between price andNAV; price andDGEN, Ihave learnt thatmutual fundprice is highlypositively correlatedwithDGEN,not toNAV.,whichindicate themarket inefficiency.That is thepriceofmutual fundsharewill increase if theDGENincreaseswhethertheNAVisincreasingordecreasingisnotanymatter.

    Inconcludingwords lackofskilled investor,weak institutional frameworks,asymmetricregulation,smallamountofacademicresearcharemovingthisprudentialsectorofcapitalmarket,Bangladeshtoanunclearway.Alltherelatedpartiesshouldcomeforwardtodirectthissectortotherightway.Performanceanalysiswithlargersamplesize,persistenceofreturns,expensesandfee adjusted performance evaluation, validity of CAPM, Fama French three factormodel can beverygoodfutureresearchintheareaofactivefundmanagementinBangladesh.

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    INTRODUCTION

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    1.0INTRODUCTIONMutual fund is a trust that pools the savings,which are then invested in capitalmarket

    instruments such as share, debentures and other securities. Recently the capital market ofBangladesh is featured by a plethora ofmutual fund scheme consisting of varying portfoliomix,investment objective and expertise of professional management. For small investors choosing asuitableone isa complexdecision.Theobjectiveof thepresent study is to findout the factsandfiguresregardingtheperformanceoftheselectedmutualfundswhichcanbenefittheinvestorandfundmangerinselectingbetterinvestmentbyconsideringtheriskreturnfactor.Insuchacontext,anattempthasbeenmadetostudytheperformanceofselectedmutualfundbasedontheriskandreturn relationship. Early studies onmutual fund included the several works of Jensen, Sharpe,Treynorwhousedcapitalassetpricingmodeltocompareriskadjustedreturnoffundwiththatofthebenchmarkmarketportfolio.ThefindingofSharpeandJensendemonstratedthatmutualfundsunderperformmarket indexesand suggest that the returnsarenot sufficient to compensate theinvestorfordiversemutualfundcharges.

    The paper tries to present prominent performance evaluation models and examineempiricallythemarkettimingandselectivityofasampleofmutualfunds.1.1OBJECTIVEOFTHESTUDY

    Thespecificobjectivesofthestudyare:

    9 Tomeasurethereturnearnedbythesamplemutual fundsandtherebycomparedagainstthereturnofthemarketportfoliotodistinguishthebestperformerfromthelaggards.

    9 Findoutthosemutualfundsofferingtheadvantageofdiversification,alongwithadequatesystematicriskcomparedtomarketbetarisk.

    9 Toanalyze theexcess returnperunitof riskevidencedby themutual fundbelongings topublicsectorandprivatesectorandtodrawcomparisons

    9 Toevaluatetheeffectivenessofthemutualfunds9 Tohelpthepotentialinvestorsforassessingtheinvestmentdecision9 Toevaluatethemutualfundsfortakinginvestmentdecision.

    1.2METHODOLOGYOFTHESTUDY

    Thestudyhasbeendesignedinthefollowingway

    1.2.1 RESEARCH APPROACH: for convenience of the study, the explanatory researchapproachesappliedtoconductthestudyandpresentedtheresultsoon.

    1.2.2 SAMPLING PLAN: Convenience sampling techniques were used to select therepresentativemutualfund.PresentlyalmostallmutualfundsareissuedandmanagedbytheICB.OthermutualfundsareoperatedbyAMCL,BSRS,AIMSandfinancialinstitutions.Altogetherthereare36mutualfundsareinoperationinthecapitalmarket.Thestudydoesnotfocustheentirefund;thisstudywasfocusedonly12mutualfundsfrom6AssetManagementCompany.

    1.2.3SELECTIONOFINDEX:astherearethreeindexesinDSEi.e.DSI(DSEallshareindex),DSE20andDGEN(DSEgeneralindex).HereDGENisusedasabenchmark.

    1.2.4SOURCESOFDATA:allthedatausedinthestudycollectedfromthesecondarysources.Secondary data were collected from DSE library, different websites, annual reports, journals,articlesetc.

    1.2.5SOFTWAREUSED:MSExcel,SPSS(StatisticalPackageforSocialScience)wereusedforprocessingandanalyzingthedata.

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    1.2.6MEASURESUSED:Incompletingthestudyonmutualfunds,Ihaveusedthefollowingmeasures

    9 TheTreynorMeasure(1965)9 TheSharpeMeasure(1966)9 Mmeasure:ModiglianiandModigliani(1997)9 Marketriskadjustedperformancemeasure9 JensenAlpha(1968)9 HighermomentmeasureofHwangandSatchell(1998)9 InformationRatio9 EfficiencyRatio9 CoEfficientofDetermination(R2)9 FamaDecompositionofMutualFundsReturns:9 TheTreynor&MazuyModel(1966)

    1.2.7 PROCEDURE OF DATA ANALYSIS: several statistical tools were used to analyze and

    evaluatethedata.Speciallymeanreturn,standarddeviation,coefficientofcorrelation,coefficientofdeterminationusedasbasictoolsofanalysisandevaluation.Thedataprocessthroughthesetoolsandinterpretedbythemeanofbetacoefficient,Treynorratio,Sharperatio.Jensenalphaandmanymorediscussedinthefollowingchapters.

    1.3RESEARCHTIMEHORIZON:Thestudyanalyzedthemutual fundover thepast5years incaseofpricebasisanalysis.

    ButincaseofNAVbasisanalysis,thestudyanalyzedthemutualfundonthebasisofavailabilityofNAVdataofmutualfunds.Buthereitismentionablethatinanytypeofanalysisatleast18monthsor65weeksanalysisisdone.

    1.4LIMITATIONS:Insomecasesthereareonly18monthsdataareusedtoanalyze theperformancedueto

    lackofdataavailability..Butasweknowthataverylongtimeintervalisneededinordertobeabletoobtainameasureofriskadjustedperformancethatcandistinguishskillfromluckonthepartoftheinvestmentmanager.

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    LITERATUREREVIEWONPERFORMANCEEVALUATION

    OFMUTUALFUNDS

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    2.1CONCEPTS&TERMINOLOGY:Beforestartingourjourneytoevaluatethemutualfunds,heresomeofthebasicconceptand

    terminologyareprovided.

    2.1.1MUTUALFUNDAninvestmentvehiclethatismadeupofapooloffundscollectedfrommanyinvestorsforthe

    purposeofinvestinginsecuritiessuchasstocks,bonds,moneymarketinstrumentsandsimilarassets.Mutual fundsareoperatedbymoneymanagers,who invest the fund'scapitalandattempttoproducecapitalgainsandincomeforthefund'sinvestors.Amutualfund'sportfolioisstructuredandmaintainedtomatchtheinvestmentobjectivesstatedinitsprospectus.

    One of the main advantages ofmutual funds is that they givesmall investors accesstoprofessionallymanaged,diversifiedportfoliosofequities,bondsandothersecurities,whichwouldbequitedifficult(ifnotimpossible)tocreatewithasmallamountofcapital.Eachshareholderparticipatesproportionallyinthegainorlossofthefund.Mutualfundunits,orshares,areissuedandcantypicallybe purchased or redeemed as needed at the fund's current net asset value (NAV)per share,whichissometimesexpressedasNAVPS.

    2.1.2THERISKFREERATEThe theoretical rate of return attributed to an investment with zero risk.The riskfree rate

    representstheinterestonaninvestor'smoneythatheorshewouldexpectfromanabsolutelyriskfreeinvestmentoveraspecifiedperiodoftime.

    In theory, the riskfree rate is the minimum return an investor should expect for anyinvestment,asanyamountofriskwouldnotbetoleratedunlesstheexpectedrateofreturnwasgreaterthantheriskfreerate.

    Inpractice,however, the riskfree ratedoesnot technicallyexist; even the safest investmentscarryaverysmallamountofrisk.Thus,investorscommonlyusetheinterestrateonathreemonthU.S.Treasury bill as a proxy for the riskfree rate becauseshortterm governmentissued securities havevirtuallyzeroriskofdefault.

    2.1.3SYSTEMATICRISKSystematic Risk is the risk inherent tothe entire market or entire market segment. It is

    alsoknown as "undiversifiablerisk" or "market risk.. Interest rates, recession and wars allrepresentsources of systematic risk because they affect the entire market and cannot be avoidedthroughdiversification.Whereasthistypeofriskaffectsabroadrangeofsecurities,unsystematicriskaffectsaveryspecificgroupofsecuritiesoranindividualsecurity.Systematicriskcanbemitigatedonlybybeinghedged.Evenaportfolioofwelldiversifiedassetscannotescapeallrisk

    2.1.4UNSYSTEMATICRISKUnsystematic Risk is the Company or industryspecific risk that is inherent in each

    investment.Theamountofunsystematic risk canbe reduced throughappropriatediversification.It isalsoknownas"specificrisk","diversifiablerisk"or"residualrisk".Forexample,newsthatisspecifictoasmallnumberofstocks,suchasasuddenstrikebytheemployeesofacompanyyouhavesharesin, isconsideredtobeunsystematicrisk.

    2.1.5CAPITALMARKETLINECapitalmarketline(CML)isthetangentlinedrawnfromthepointoftheriskfreeassettothe

    feasibleregionforriskyassets.ThetangencypointMrepresentsthemarketportfolio,sonamedsinceallrationalinvestors(minimumvariancecriterion)shouldholdtheirriskyassetsinthesameproportionsastheirweightsinthemarketportfolio.

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    TheCMLresultsfromthecombinationofthemarketportfolioandtheriskfreeasset(thepointL).AllpointsalongtheCMLhavesuperiorriskreturnprofilestoanyportfolioontheefficientfrontier,with theexceptionof theMarketPortfolio, thepointon theefficient frontier towhich theCML is thetangent.FromaCMLperspective,thisportfolioiscomposedentirelyoftheriskyasset,themarket,andhasnoholdingof therisk free asset, i.e.,money isneither invested in,norborrowed fromthemoneymarketaccount.

    2.1.6SECURITYMARKETLINESecurityMarketLine is a line thatgraphs the systematic, ormarket,riskversus returnof the

    wholemarketat a certain timeandshowsall riskymarketable securities. It is also referred toas the"characteristicline".

    The SMLessentially graphs the results from thecapital asset pricingmodel (CAPM) formula.Thexaxis represents the risk (beta), and the yaxis represents the expected return. Themarket riskpremiumisdeterminedfromtheslopeoftheSML.

    Thesecuritymarketlineisausefultoolindeterminingwhetheranassetbeingconsideredforaportfoliooffersareasonableexpectedreturnforrisk.IndividualsecuritiesareplottedontheSMLgraph.If the security's risk versus expected return is plotted above the SML, it is undervaluedbecause theinvestor can expect a greater return for the inherent risk.A security plotted below the SMLisovervaluedbecausetheinvestorwouldbeacceptinglessreturnfortheamountofriskassumed.

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    2.2PERFORMANCEEVALUATIONTOOLS:

    Portfolioperformanceevaluationisakeyaspectoftheinvestmentdecisionprocess.Sometoolsofportfolioperformanceevaluationprovidethenecessaryinformationforinvestorstoassesshoweffectively theirmoneyhasbeen invested (ormaybe invested).One thing is important thatportfolio returnsareonlypartof thestory.Withoutevaluatingriskadjustedreturns,an investorcannot possibly see the whole investment picture, which may inadvertently lead to cloudedinvestmentdecisions.

    Many investors mistakenly base the success of their portfolios on returns alone. Fewconsider therisk that they took toachieve thosereturns.Since the1960s, investorshaveknownhow to quantify andmeasure riskwith the variability of returns, but no singlemeasure actuallylookedatbothriskandreturntogether.Today,wehaveeightsetsofperformanceevaluationtoolstoassistuswithourportfolioevaluations.TheTreynor,SharpeandJensenratiosetc.combineriskandreturnperformanceintoasinglevalue,buteachisslightlydifferent.

    2.2.1THETREYNORMEASURE(1965)

    Jack L. Treynorwas the first to provide investorswith a compositemeasure of portfolioperformancethatincludedrisk.Treynorsobjectivewastofindaperformancemeasurethatcouldapplytoall investors,regardlessof theirpersonalriskpreferences.Hesuggestedthattherewerereallytwocomponentsofrisk:theriskproducedbyfluctuationsinthemarketandtheriskarisingfromthefluctuationsofindividualsecurities.

    Treynorintroducedtheconceptofthesecuritymarketline,whichdefinestherelationshipbetweenportfolioreturnsandmarketreturns,wherebytheslopeofthelinemeasurestherelativevolatility between the portfolio and themarket (as represented by beta). The beta coefficient issimplythevolatilitymeasureofastock,portfolioorthemarketitself.Thegreatertheline'sslope,thebettertheriskreturntradeoff.

    TheTreynormeasurecanbeeasilydefinedas:

    Where:

    E(RP)denotestheexpectedreturnoftheportfolio;RFdenotesthereturnontheriskfreeasset;BPdenotesthebetaoftheportfolio.

    Thenumeratoridentifiestheriskpremiumandthedenominatorcorrespondswiththeriskoftheportfolio.Theresultingvaluerepresentstheportfolio'sreturnperunitrisk.ThehighertheTreynormeasure,thebettertheportfolio.

    Becausethismeasureonlyusessystematicrisk,itassumesthattheinvestoralreadyhasanadequatelydiversifiedportfolioand,therefore,unsystematicrisk(alsoknownasdiversifiablerisk)isnot considered.As a result, thisperformancemeasure should reallyonlybeusedby investorswhoholddiversifiedportfolios.

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    2.2.2THESHARPEMEASURE(1966)TheSharperatioisalmostidenticaltotheTreynormeasure,exceptthattheriskmeasureis

    the standard deviation of the portfolio instead of considering only the systematic risk, asrepresented by beta. Conceived by Bill Sharpe, This ratio measures the return of a portfolio inexcessoftheriskfreerate,alsocalledtheriskpremium,comparedtothetotalriskoftheportfolio,measuredby its standarddeviation. It isdrawn from the capitalmarket line, andnot theCapitalAssetPricingModel(CAPM).Thisratio,initiallycalledtherewardtovariabilityratio,isdefinedby:

    Where:

    E(RP)denotestheexpectedreturnoftheportfolio;RFdenotesthereturnontheriskfreeasset;(RP)denotesthestandarddeviationoftheportfolioreturns.

    Sincethismeasureisbasedonthetotalriskoftheportfolio,madeupofthemarketriskandtheunsystematicrisktakenbythemanager, itenablestheperformanceofportfoliosthatarenotverydiversifiedtobeevaluated.Thismeasureisalsosuitableforevaluatingtheperformanceofaportfolio that represents an individuals total investment. The higher the Sharpe measure, thebettertheportfolio.

    2.2.3MMEASURE:MODIGLIANIANDMODIGLIANI(1997)ModiglianiandModigliani(1997)showedthattheportfolioanditsbenchmarkmusthave

    the same risk to be compared in terms of basis points of riskadjusted performance. So theyproposethattheportfoliobeleveragedordeleveragedusingtheriskfreeasset.Theydefinedthefollowingmeasure:

    Where,

    (M/P)istheleveragefactor.Mdenotestheannualizedstandarddeviationofthemarketreturns;PdenotestheannualizedstandarddeviationofthereturnsoffundP;RPdenotestheannualizedreturnoffundP;RFdenotestheriskfreerate.

    Thismeasure evaluates the annualized risk adjusted performance (RAP) of a portfolio in

    relation to the market benchmark, expressed in percentage terms. According to Modigliani andModigliani,thismeasureiseasiertounderstandbytheaverageinvestorthantheSharperatio.

    Modigliani and Modigliani propose the use of the standard deviation of a broadbasedmarket index,suchastheS&P500,asthebenchmarkforriskcomparison,butotherbenchmarkscouldalsobeused.Forafundwithanygivenriskandreturn,theModiglianimeasureisequivalentto the return the fund would have achieved if it had the same risk as the market index. Therelationship therefore allows us to situate the performance of the fund in relation to that of themarket.ThemostinterestingfundsarethosewiththehighestRAPvalue.

    TheModiglianimeasureisdrawndirectlyfromthecapitalmarketline.Itcanbeexpressedas the Sharpe ratio times the standard deviation of the benchmark index: the twomeasures aredirectlyproportional.SoSharperatioandModiglianimeasureleadtothesamerankingoffunds.

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    17

    2.2.4MARKETRISKADJUSTEDPERFORMANCE(MRAP)MEASURE:SCHOLTZANDWILKENSScholtz andWilkens (2005) note that, as theRAPmeasure developed byModigliani and

    Modigliani(1997)usesthestandarddeviationasriskmeasure,itisrelevantonlytoinvestorswhoinvesttheirentiresavingsinasinglefund.Sotheyproposeameasurecalledmarketriskadjustedperformance (MRAP), following the same principle as Modigliani and Modiglianis measure, butmeasuringreturnsrelativetomarketriskinsteadoftotalrisk.Asaresult,theMRAPissuitableforinvestorswhoinvestinmanydifferentassets.

    Theideaistocomparefundsonthebasisofmeasureofmarketriskthatisidenticalforallfunds.Thenaturalchoice is thebeta factorof themarket index,M=1.Themarket riskadjustedperformanceforfundiisobtainedby(de)leveringitinordertoachieveabetaequaltoone.Ifthefundssystematicriskexceedsthatofthemarket(i>1),thisprocedurecanbeinterpretedasafictitioussaleofsomefractiondioffundholdingsandthenaninvestmentoftheproceedsattheriskfreerate(di

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    18

    2.2.6HIGHERMOMENTMEASUREOFHWANGANDSATCHELL(1998)Whenportfoliosreturnsarenotnormallydistributed,highermomentssuchasskewness

    andkurtosisneedtobeconsideredtoadjustforthenonnormalityandtoaccountforthefailureofvariancetomeasureriskaccurately.

    In these cases, a highermoment CAPM should prove more suitable than the traditionalCAPM and so a performance measure based on higher moments may also be more accurate.AssumingthevalidityofthethreemomentCAPMandaquadraticreturngeneratingprocessoftheform:

    WecandefineaperformancemeasureofaportfoliounderthethreemomentCAPMas:

    Where,

    With:

    And,

    mandmare theskewnessandkurtosisof themarketreturns,andandpmarebetaandcoskewnessrespectively.Ifthemarketreturnsarenormal,thenpm1=pmand2=0andthealphameasureisthereforeequivalenttoJensensalpha.

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    19

    2.2.7INFORMATIONRATIOTheinformationratio,whichissometimescalledtheappraisalratio,isdefinedbytheresidual

    returnoftheportfoliocomparedtoitsresidualrisk.Theresidualreturnofaportfoliocorrespondstotheshare of the return that is not explained by the benchmark. It results from the choicesmade by themanagertooverweightsecuritiesthathehopeswillhaveareturngreaterthanthatofthebenchmark.Theresidual,ordiversifiable,riskmeasurestheresidualreturnvariations.Itisthetrackingerroroftheportfolioandisdefinedbythestandarddeviationofthedifferenceinreturnbetweentheportfolioanditsbenchmark.Theloweritsvalueis,theclosertheriskoftheportfoliototheriskofitsbenchmark.

    Sharpe(1994)presentstheinformationratioasageneralizationofhisratio, inwhichtherisk

    freeassetisreplacedbyabenchmarkportfolio.Theinformationratioisdefinedthroughthefollowingrelationship:

    Where,

    RBdenotesthereturnonthebenchmarkportfolio.

    Managersseektomaximizeitsvalue,i.e.toreconcileahighresidualreturnandalowtrackingerror.Thisratioallowsustocheckthattherisktakenbythemanager,indeviatingfromthebenchmark,issufficientlyrewarded.

    The information ratio is an indicator that allows us to evaluate the managers level ofinformation compared to the public information available, together with his skill in achieving aperformancethatisbetterthanthatoftheaveragemanager.Asthisratiodoesnottakethesystematicportfolio risk into account, it is not appropriate for comparing the performance of awelldiversifiedportfoliowiththatofaportfoliowithalowdegreeofdiversification.

    2.2.8EFFICIENCYRATIOToexplainhowthismeasureworks,weconsidertheaveragemeanreturnofamutualfund

    and its standard deviation. Thenwe calculate the return per unit of risk for themutual fund bydividing themeanreturnby its standarddeviation. In thesameway,wecalculate thereturnperunitofriskformarket.Thenbycomparingthereturnperunitofriskofthemutualfundwiththereturnperunitofriskofmarket,wecandeterminewhetherthemutualfundisefficientlymanagedornot.

    Again, we can rank themutual funds in accordance of their return per unit of risk. Thehigherthereturnperunitofriskis,thebetterthemutualfundis.

    2.2.9COEFFICIENTOFDETERMINATION(R2)Coefficient of Determination (R2) explains the percentage of a portfolio's performance

    explainablebytheperformanceofabenchmarkindex.ThatisCoefficientofDetermination(R2)isameasureofdiversification.Itissimplythesquareofthecorrelationcoefficientbetweenthemarketreturnsandportfolioreturns.

    TheRsquareismeasuredonascaleof0to100,withameasurementof100indicatingthattheportfolio'sperformanceisentirelydeterminedbythebenchmarkindex..TheclosertheR2isto100, themore completely diversified the portfolio is. A low R square indicates that there is nosignificantrelationshipbetweentheportfolioandtheindex.

  • PERFORMA

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  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    21

    portfolioandthesystematicriskoftheportfolio.Thiswillbezeroforperfectlydiversifiedportfolios.Thatis,

    RPDiversification={(P/M)*(RMRF)P(RMRF)}2.3.6NETSUPERIORRETURNDUETOSELECTIVITY

    We can determine how much of the risk premium comes from ability to selectstocks(netselectivity)bysubtractingdiversificationfromselectivity.ThatisNetSelectivityisthedifferencebetweentheriskpremiumduetoselectivityanddiversification.Thatis

    RPNetSelectivity=RPSelectivityRPDiversification

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    22

    2.4TIMINGSKILLTimingskillimpliesthathowwellafundmanagermatcheshisorherdecisionwiththe

    movementofthemarket.Ifthetimingisperfectthenportfolioreturnwouldbeequaltomarketreturn.Heretimingskillcanbeexaminedbyusingthefollowingmodel.

    2.4.1THETREYNOR&MAZUYMODEL(1966)ThismodelusedaquadraticversionoftheCAPM,whichprovidesuswithabetter

    frameworkfortakingtheadjustmentsmadetotheportfoliosbetaintoaccount,andthusfor evaluating a managers market timing capacity. Managers who anticipate marketevolutionscorrectlywilllowertheirportfoliosbetawhenthemarketfalls.Theirportfoliowill thusdepreciate less than if theyhadnotmade the adjustment. Similarly,when theyanticipateariseinthemarket,theyincreasetheirportfoliosbeta,whichenablesthemtomakehigherprofits.Therelationshipbetweentheportfolioreturnandthemarketreturn,inexcessoftheriskfreerate,shouldthereforebebetterapproximatedbyacurvethanbyastraightline.Themodelisformulatedasfollows:

    Where:RPtdenotestheportfolioreturnvectorfortheperiodstudied;RMtdenotesthevectorofthemarketreturnsforthesameperiod,measuredwiththesamefrequencyastheportfolioreturns;RFtdenotestherateoftheriskfreeassetoverthesameperiod.

    TheP,PandPcoefficientsintheequationareestimatedthroughregression.IfPis positive and significantly different from zero, we can conclude that the manager hassuccessfullypracticedamarkettimingstrategy.

    TreynorandMazuy(1966)usingannualreturnsfor57openendmutualfunds,findthatthehypothesis of nomarket timing ability can be rejectedwith 95% confidence for only one of thefunds.Thismodelwas formulatedempiricallybyTreynorandMazuy (1966). Itwas thentheoreticallyvalidatedbyJensen(1972)andBhattacharyaandPfleiderer(1983).

    2.4.2THEHENRIKSSONMERTONMODELHenriksson andMerton (1981) derive the statistical framework for bothparametric and

    nonparametric testsofmarkettimingability. If themanagers forecastsareobservable, then thenonparametric test can be usedwithout further assumptions about the distribution of securityreturns.

    If the forecasts are not observable, then the parametric test can be used under theassumptionofeitheraCAPMoramultifactorreturnstructure.ItconsistsofamodifiedversionoftheCAPMwhich takes themanagers two riskobjectives into account, dependingonwhetherheforecaststhatthemarketreturnwillorwillnotbebetterthantheriskfreeassetreturn.Themodelispresentedinthefollowingform:

    RMFtRFt=+(RMtRFt)+Max[(RMt RFt),0]+t

    The , and coefficients in the equation are estimated through regression. The coefficient allows us to evaluate the managers capacity to anticipate market evolution. If ispositiveandsignificantlydifferentfromzero,themanagerhasagoodtimingcapacity.

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    23

    Herethenewterm,,representsaninformationaladvantagerepresentedbyanocostputoptiononthemarketportfolio.HenrikssonandMertonarguethatifissignificantlypositive,weidentifyselectionskills,and forapositiveandsignificant, themutual fundmanagerpossessestimingability.

    While the above multiple regression methods are easy to apply, statistical inferencerequirescare.AspointedoutbyHenrikssonandMerton(1981)themanagedportfoliosreturnwillexhibit conditional heteroscedasticity because of the fundmanagers attempt to time themarket,evenwhenstockreturnsareseriallyuncorrelatedandidenticallydistributedthroughtime.

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    24

    MUTUALFUNDSINBANGLADESH:ANOVERVIEW

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    25

    3.1BANGLADESHECONOMY,CAPITALMARKET&MUTUALFUNDS:

    3.1.1BANGLADESHECONOMY:Beforegoingthroughmaintopicofmyreport,PerformanceEvaluationofSelectedMutual

    FundinDSE,letshaveabrieflookonthecurrenteconomyofBangladesh.Bangladeshhasafairlygood and expanding stock of both physical and human capital, and with favorable policies, theupgradingpotentialofbothcapitalisbright.Theremittances fromoverseasworkershavealreadybecomeagreatsourceofstrengthandthiscanbeincreasedmanifoldwithrightpolicies.Relativestability of the country's economic fundamentals has created a fairly good macroeconomicenvironment.ThekeymacroeconomicindicatorsofBangladesharegivenbelow:

    TherecenteconomicoutlookofBangladesheconomybecomesclearwhenwewillconsiderthefollowingeconomiceventsorfactors.Theseeconomiceventsorfactorsare

    RealGDPisprojectedtogrowataround6.2percentinFY11,upfrom5.8percentinFY10.At present GDP shows the upward trend which indicates better financial performance of thecountryandthisisthebesttimetoinvestindifferentpromisingindustryoftheeconomy.Again,TheincreaseinconsumerpricesthatstartedinFY10continuedthroughthefirstninemonthsofFY11,driven largely by a doubledigit rise in food prices. The recent trend in inflation rate (movingaverage)demonstratesadecreasingtrend.Theinflationratehasdecreasedfrom8.5percentintheendJuneofFY200910to6.9percentintheFY201011.Thedecreasingtrendintheinflationratealsoindicatesthesoundeconomicperformanceofthecountry.

    BangladeshKeyMacroeconomicIndicatorsFiscalYear FY8 FY9 FY10 FY11(P.) FY12(P.)

    RealGDPGrowth(%) 6.2 5.7 5.8 6.2 6.4CPIInflation(%,average) 9.9 6.7 7.3 8.8 7.4Investment(%ofGDP) 24.2 24.4 25 25.5 26.6Export(f.o.b)Growth(%) 17.4 10.1 4.2 27 19.6Import(f.o.b)Growth(%) 25.6 4.2 5.4 36.1 15CurrentAccountBalance(%ofGDP) 0.9 2.7 3.7 0.8 1.6Revenue(%ofGDP) 11.4 10.4 10.9 12.1 12.7Expenditure(%ofGDP) 15 14.3 14.6 16.7 18.2OverallBalance(%ofGDP) 3.6 3.9 3.7 4.6 5.5PublicDebt(%ofGDP) 46.8 45.4 41.5 41.6 41.2

    0

    2

    4

    6

    8

    1982

    1985

    1988

    1991

    1994

    1997

    2000

    2003

    2006

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    8.18.9

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    200607 0708 0809 0910 1011

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  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    26

    Meanwhile, growth inmoneyandcredit isestimated to remainhigh inFY11,as itwas inFY10.Butas the global economy is yet to fully recover and struggling to attain the pre- recession growth level, investment climate in Bangladesh continues to stagger as reflected in the continuously high level of excess liquidity that piled up in the banking system from end-June 2007 to end-June 2009. Excess liquidity showed a decline since end-June 2010. It has further declined in end-Sept10, showing that Bangladesh economy is responding to the recovery taking place in developed countries. Again, both exports and imports rose in the first part of FY2011while remittance growth fell sharply, thus narrowing the external current account surplus.RemittancesfellsharplyinthefirsthalfofFY11buthavesincerecoveredslightly.

    Atlast,wecansaythatBangladesheconomyhasgrownataround6%overthepast5years,despitenaturalshocksandexternalvolatility,andwebelievethatthebestyearsforthecountryareaheadofusandeconomyhasthepotentialtogrowbyaround8%duringthecomingyearsandforthattheinvestmentmustgrowfasterthanthepresentrate.Itovercomestheglobalfinancialcrisiswell,andhasconsequentlycomeoutof thecrisis inapositionofstrength,withrealGDPgrowthmodestly impacted.Tomaintaina stableeconomyand to reduce theeconomic fluctuationofourcountrythefollowingstepsaretakenbyregulatorybodies:

    9 OnMarch9,2011,theBangladeshBankliftedthe13percentlendingratecaponbanksthatwas introduced inApril2009 in response to theworldeconomic crisisand increased theCRRandtheSRRby50basispointsinDecember2010.

    9 InNovember2010, theMicrocredit RegulatoryAuthority (MRA)put a 27percent cap oninterest ratesandmade itmandatory toallowat least15days between thedatesof loanissuanceandfirstrepayment.

    9 ThedraftVATlawandruleswereplacedontheNBRwebsiteforpublicdiscussion.Andthepublicprivatepartnerships(PPP)agendaismovingforwardslowly.

    9 TheBangladeshEnergyRegulatoryCommissionraisedpowertariffsbyanaverage11percentforbulkconsumers,andissuedaninterimordertoraisetariffsforretailcustomersby5.0percent,witheffectfromFebruary1,2011.

    Apart from the risks to the global economy, there are several short and longterm risksfacingtheBangladesheconomy.Shorttermrisksincluderising foodandfuelpricesplacingstresson fiscal and external balances deteriorating remittances and impact on the current account,leading to the possibility of increased reserve draw down; the growing quasifiscal deficit; andstockmarket volatility and its possible impact on thebanking sector. Themacroeconomicpolicyresponse will need to strike a balance between maintaining a comfortable level of reserves,containing inflation and allowing greater exchangerate flexibility. Longterm risks include theinabilitytosufficientlyalleviatepowershortages,raisepublicinvestment,andremovebottleneckstoprivateinvestment.Inaddition,theimpactofrisingfoodandfuelpricesonpovertywillneedtobecarefullymanaged.

    0

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  • PERFORMA

    3.1.2CAIn

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    ANCEEVALUAT

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    Textile2.9%

    Pharma.8.72%

    Jute0.04%

    Service0.83%

    Tannery0.64%

    Miscel3.52%

    TEDMUTUALF

    2 stock exce of Bangladndence in19DT.4billion.Exchange (Cuttradingsy

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    FUNDSINBANG

    27

    changes. Dhadesh. Althou971, thenumThetotalnuCSE)began iystem.

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    323.9 893722.42 11802.52 1241319.34 21.9422.8 1

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    8.92 2563503.92 18693.89 270.0741.78 282.178.44 240.19 43

    MF1.6%

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  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    28

    Currently sharemarket iswell known to all. It is known that the economic stability andprosperityofacountrydependontheconditionofhersharemarket.Manybrokeragehousesarenowoperatinginourcountrytohelpinvestors.WhenBangladesheconomylookslikeagoodshapebasedoncapital/sharemarket, that timeTradingon theDhakaStockExchange indexwashaltedafteritfellby660points,or9.25%,inlessthananhour.ChittagongStockMarketalsometasimilarfate. An abrupt crash of the market sparked violent protests from the Bangladeshi investors.Itwasthebiggestonedayfallinits55yearhistory.Itisestimatedthatoverthreemillionpeople,many of them smallscale individual investors, have lost money because of the plunging shareprices.Thebenchmarkindexhadclimbedby80%in2010buthaslostmorethan27%sinceearlyDecember.Theregulatorsefforts todealwith thestockprice surge thatbuiltupafter July2009,andthesubsequentreversalofthesepolicies,mayhaveincreasedvolatilityinthestockindexinthepastfewmonths.

    As a result Investment in the share market is a popular business among the educatedmiddleclassofBangladeshwhowereleftfrustratedwiththesuddenlosstotheircapital.Theywerefinding ways and means to exit from the market in order to minimize the lossesWhythis ishappenourquestion israise, it isnotexpected forusmiracle indexupandsuddenlydown.Theexpertsgivetheircommentthattheimmediatereason forthiscrashwasthepolicyoftheregulatorsofthemarketwholaiddownalimitforinvestmentbythebanksandotherfinancialinstitutions in the stocks. Thiswas done in order to avoid themarket being overvalued. As thebanksandotherbiginvestorinstitutionswithdrewthecapitalfromthemarket,thepanicensued.

    CurrentBangladeshsharemarketcanexperiencehugedeclinebecauseof:

    9 Mostofthesharepricesareveryhigh(lacksupportoffundamentals).9 Peoplewhoare involved in themarkethaveegger tomakequickprofit by short trading

    only.Mostofthemdonotwanttoholdsharesforlittlelong.9 Excess liquidity in the market also pushing share prices without solid reason (only

    speculation).Manipulatorsareactive!9 Ourbankingandotherfinancialinstitutionshaveexposedtheirselvestoverymuchriskby

    involvingspeculativesharetradingnow.Whenthemarketwilldownturnorcrashtheywillinserioustrouble.

    Lastbutnotleast,seriousactwithprudencetostrengthenoursharemarketandbewareofmanipulators.AndthegovernmentofBangladeshmaybeunderpressuretointerveneinordertoprotectthehardearnedmoneyofthesmallinvestorsfrombeinglostduetothisunusualcrashofthestockmarket.So,thisistherighttimetoworktogether(Governmentaswellasotherfinancialinstitutes)todecidewhatactionstotaketosavethemarketfromfurtherfalls.

    0.00

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    Jan10

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  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    30

    3.2SELECTIONOFMUTUALFUND(M.F.):PROFILEInBangladeshthemutualfundswereintroducedbythegovernmentinstituteInvestment

    CorporationofBangladesh(ICB)in1980.Itlaunchedsomeeightclosedendmutualfundstill2002.AlongwiththismutualfundsICBissuedICB1stto3rdNRB,ICB1stand2ndAMCLmutualfund,ICBemployeemutualfund,ICBIslamicmutualfundsetc.

    lateron, threesubsidiarieswerecreated, theyare ICBCapitalManagementLtd, ICBAssetManagementCompanyLtdandICBsecuritiesTradingCompaniesLtd.ICBCapitalManagementLtdismainlyconcernedwithunderwritingofshare,issuemanagement,placementofshare,investmentcounseling,managinginvestmentaccounts;ICBAssetManagementLtdisinvolvedwithinvestmentmanagement (floating and managing mutual funds); and ICB securities Trading Companies Ltdprovides the trading facility,depositoryparticipant facility ofCDBL,brokerageservice,managingownportfolioandworkingassellingagentofDSE.

    Meanwhile another government agency, Bangladesh Shilpa Rin Sangstha (BSRS), nowmerged into Bangladesh Development Bank, launched it solitary mutual fund in1997, which isrunningunderitsownstatute.

    The first everprivate assetmanagement companyAIMSFirstGuaranteedMutual Fund, aclosedendbalancedfundinMarch2000;Whereguaranteedmeans,thecapitalofthefundthatwasunderwrittenatredemptionbyIDLCandAIMSduringtheinitialfiveyearsoflife.Laterin2005,theunitholdersresolvedtoreducethegranteeto50%underwrittenonlybyAIMS.Thistranslatesthat50%ofthepaidupcapital losswillbebornebyAIMSatthetimeofredemption.Theportfolioofthismutualfundwillbeagrowthvaluebendbasketoflargecapaswellassmallcapstocksandamixoffixedincomesecurities.

    Besides AIMS, currently few other private fund managers are also doing the business,namely,RACE,LRGlobal,VIPBetc.Alltogether,36closedendfundaretradedintheDSEwithfewwaitinginthequeueforstartingtheiroperation.

    Nowadays commercialbanksandnonbank financial institutionsaregetting involved inmutual fund issue firmly. There are 15 funds of different banks, financial institutions and theinsurancecompaniesoutof36fundstradedinDSE.

    Ihavechosen12mutual fundsof6AssetManagementCompanies inordertoanalyzetheperformanceofthosemutualfunds.Theseare:

    Inthenextpage,therewillbegivenabriefdiscussionaboutthemutualfundswhichIhave

    selectedforevaluatingtheirperformance.

    AssetManager SelectedMF AssetManager SelectedMF

    ICB

    4thICBM.F.AIMS

    Aims1stM.F.

    6thICBM.F. GrameenM.F.one

    8thICBM.F.RACE

    EBLFirstMutualFund

    ICBAMCLICBAMCL1stM.F. TrustBank1stM.F.

    ICBAMCLIslamicM.F.LRGlobal

    DBHFirstMutualFund

    BSRS 1stBSRS GreenDeltaM.F.

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    31

    3.2.1ICBM.F.InBangladeshthemutualfundswereintroducedbythegovernmentinstituteInvestment

    CorporationofBangladesh(ICB)in1980.Itlaunchedsomeeightclosedendmutualfundstill2002.AlongwiththismutualfundsICBissuedICB1stto3rdNRB,ICB1stand2ndAMCLmutualfund,4thICB,6thICB,8thICB,ICBemployeemutualfund,ICBIslamicmutualfundsetc.ICBMutualFundsareindependent of one another. In Bangladesh ICB has pioneered Mutual Funds for the sake ofinvestorsandofthecapitalmarket.Herearethebriefon4th,6thand8thICBmutualfundisgiven.

    3.2.1.14THICBMF

    BasicInfo.

    Particulars 4thICBMutualFundSponsor ICBCapitalManagementLimited(ICML)Trustee&Custodian InvestmentCorporationofBangladesh(ICB)Size Tk.10.00CroreMarketLot 10UnitsFaceValue Tk.100.00perunitPaidUpCapital Tk.10Million

    NetAssetValue(Ason30092011) Atmarketpricetk.2223.46

    EarningPerUnit(Ason30092010) Tk.114.283.2.1.26THICBMF

    BasicInfo.

    Particulars 6th ICBMutualFundSponsor ICBCapitalManagementLimited(ICML)Trustee&Custodian InvestmentCorporationofBangladesh(ICB)Size Tk.10.00CroreMarketLot 10UnitsFaceValue Tk.100.00perunitPaidUpCapital Tk.10MillionNetAssetValue(Ason30092011) Atmarket pricetk.454.78EarningPerUnit(Ason30092010) Tk.37.00

    3.2.1.38THICBMF

    BasicInfo.

    Particulars 8th ICBMutualFundSponsor ICBCapitalManagementLimited(ICML)Trustee&Custodian InvestmentCorporationofBangladesh(ICB)Size Tk.10.00CroreMarketLot 10UnitsFaceValue Tk.100.00perunitPaidUpCapital Tk.10MillionNetAssetValue(Ason30092011) Atmarket pricetk.513.72EarningPerUnit(Ason30092010) Tk.32.00

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    32

    3.2.2ICBAMCLAmongthemutualfundsunderAssetManagementCompanyICBAMCL,IhaveselectedICB

    AMCL1standICBIslamicmutualfundformyevaluationpurpose.Hereisbriefaboutthosefunds.

    3.2.2.1ICBAMCL1STM.F.The fund is a closeend fund of ten years tenure. The size of the fund is Tk. 10.00 crore

    dividedinto10,00,000unitsofTk.100.00each.Outofthetotal10,00,000units,990,000unitsareincirculationandtherestunitsareheldbythesponsorareunderlockinforthelifeofthefund.

    After deducting total expenditure including provision against investment for the currentyear,thefundhadanetincomeofTk.707.77lacs.TheearningperunitforthecurrentFY200910stoodatTk.70.78,whichwasTk.37.98 inFY200809.AsonJune30,2010, the fundhadatotalinvestmentofTk.2755.04lacsatcostofwhich2725.03lacswereinordinaryshares,Tk.30.00lacsindebenture securities.Themarket valueof the investmentwasTk.5526.98 lacs ason June30,2010showingappreciationof100.61%.

    BasicInfo.Particulars ICBAMCLFirstMutualFundSponsor ICBCapitalManagementLimited(ICML)Trustee&Custodian InvestmentCorporationofBangladesh(ICB)Auditor M.A.MalekSiddiquiWali&Co.,CharteredAccountsPublicationofProspectus June09,2003SubscriptionPeriod June16,2003 June30,2003Size Tk.10.00CroreMarketLot 50UnitsFaceValue Tk.100.00perunitDividendforFY200910 Tk.50.00perunit

    NetAssetValue(Ason31082011) Atcostpricetk.424.08AtmarketpriceTk.585.56EarningPerUnit(Ason30092011) Tk.55.00

    3.2.2.2ICBAMCLISLAMICM.F.The fund is a closeend fund of ten years tenure. The size of the fund is Tk. 10.00 crore

    dividedinto10,00,000unitsofTk.100.00each.Outofthetotal10,00,000units,990,000unitsareincirculationandtherestsareheldbythesponsorareunderlockinforthelifeofthefund.

    After deducting total expenditure including provision against investment for the currentyear,thefundhadanetincomeofTk.497.64lacs.TheearningperunitforthecurrentFY200910stoodatTk.49.76,whichwasTk.26.60 inFY200809.Ason June30,2010, the fundhada totalinvestmentofTk.1975.86lacsatcostprice,themarketvalueofwhichwasTk.2869.34lacsonthesamedateshowingappreciationof45.22%.Besides,thefundinvestedTk.100.00lacsintermsofMudarabaTermDepositReceipt(MTDR).

    BasicInfo.Particulars ICBAMCLIslamicMutualFundSponsor ICBCapitalManagementLimited(ICML)Trustee&Custodian InvestmentCorporationofBangladesh(ICB)Auditor M.A.MalekSiddiquiWali&Co.,CharteredAccountsPublicationofProspectus September15,2004SubscriptionPeriod October12,2004 October17,2004Size Tk.10.00CroreMarketLot 50UnitsFaceValue Tk.100.00perunitDividendforFY200910 Tk.35.00perunit

    NetAssetValue(Ason31082010)Atcostpricetk.248.86AtmarketpriceTk.270.06

    EarningPerUnit(Ason30062010) Tk.36.00

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    33

    3.2.3AIMSM.F.UnderAIMS,AIMS1standGrameenoneisselectforevaluation.Letsabriefaboutthem.

    3.2.3.1AIMS1stM.F.AIMS of Bangladesh conceived the idea and launched the Tk70 million pioneering first

    mutualfundinBangladeshunderprivateinitiativetheAIMSFirstGuaranteedMutualFundinyear2000with a five year initial tenure, as theAssetManager. Initially the sizewas contemplated atTk50milliononlybutowingtounprecedentedoversubscriptionfortheIPO(aboutninetimes)thesizewasincreasedbyanotherTk20milliononpublicdemand.

    ThesizeofthefundwaslaterincreasedtoTk140millionbytheenthusiasticgeneralunitholdersandthelifeextendedbyanothertenyearsin2005.In2007thepaidupcapitalwasfurthertraised to TK168million through distribution 20% stock dividend to all unitholders. In 2010 thepaidup capital further raised to Tk414.5million after isuing 70%bonus and 130% right to theunitholders.

    BasicInfo.Fund&SchemeName AIMSFirstGuaranteedMutualFundSize Tk.50millionPaidupCapital Tk.414.5millionTenure

    RedemptionatmaturityonJune30,2015afteroriginalmaturityoffiveyearsendedinJune2005.

    FaceValue Tk1(Takaoneonly)MarketLot 2,500unitsofTk1eachManager AIMSofBangladeshLimited

    Sponsors

    IPDC of Bangladesh Limited, IDLC Finance Limited, Southeast Bank Limited, UttaraFinance&InvestmentsLimited,PangaeaPartners(BD)Limited,SandhaniLifeInsuranceCompany Limited, Sandhani Credit Cooperative Society Limited and BangladeshIndustrialFinanceCompanyLimited.

    Trustee BangladeshGeneralInsuranceCompanyLimited(BGIC) Custodian BRACBankLimitedNature&Style Closedendcapitalguaranteedbalancedmutualfund

    NetAssetValueAtCostPricetk.1.62AtMarketPriceTk.4.69

    EarningsperShare Tk.0.28

    3.2.3.2GrameenOneM.F.

    AIMS of Bangladesh is the AssetManager for the GrameenMutual FundOne, the secondclosedend privatemutual fund in Bangladesh, the GrameenMutual FundOne sponsored by theGrameenBank,foundedbyNobelLaureateProfessorMuhammadYunus,regardedastheinnovatorofmicrocredit.GrameenFund,anotforprofitventurecapitalfinancingenterpriseoftheGrameenfamilyistheTrusteeandtheStandardCharteredBankistheCustodianofthefund.

    BasicInfo.Fund&SchemeName GrameenMutualFundOnePaidupCapital TK170millionTenure RedemptionatMaturityonJune30,2015.FaceValue Tk10(TakaTenonly)MarketLot 500unitsofTk10eachTaxStatus Investmentandincome,includingcapitalgain,oftheFundistaxexemptManager AIMSofBangladeshLimitedSponsors GrameenBankTrustee GrameenFundCustodian StandardCharteredBankNature&Style Closedendcapitalguaranteedbalancedmutualfund

    NetAssetValueAtCostPriceTk.28.98AtMarketPriceTk.52.71

    EarningsperShare Tk.6.00

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    34

    3.2.4RACEM.F.NowletsdiscussabouttheEBL1stAndTrustBank1stmutualfund.

    3.2.4.1EBL1STM.F.EasternBankLimited (EBL) haddecided to be the firstBangladeshi commercial bank to

    sponsoraMutualFundtomanageitscapitalmarketinvestmentsinasafeandprofessionalmanner.EBLsseniormanagementbelievedthatreturnsfromthemutualfundareexpectedtohelpdiversifyEBLsrevenuestream.Inaddition,bylaunchingtheEBLFirstMutualFund,EBLalsolookstodoitsparttoimprovetheefficiencyoftheBangladeshicapitalmarkets.

    TheFundwillbeaclosedendmutualfundof10(Ten)yearstenure,establishedwithaviewtobroadenthebaseofinvestmentanddevelopthecapitalmarket.

    In thisendeavor,EBLhaschosen twohighlycapablepartners:RACEManagementPCLasthe Fund Manager and the Investment Corporation of Bangladesh (ICB) as the Trustee andCustodianoftheFund.

    BasicInfo.

    Name EBLFirstMutualFund

    SizeoftheFund Tk.100croredividedinto100,000,000units.Infuturethesizewillnotbechanged.FaceValue Tk.10.00perunit.Sponsor EasternBankLimitedSponsorsContribution 20,000,000UnitsofTk10eachatparforTK200,000,000Auditor HodaVasiChowdhury&Co.CharteredAccountantsPublicOffer 20,000,000UnitsofTk10eachatparforTK200,000,000Trustee&Custodian InvestmentCorporationofBangladesh (ICB)AssetmanagementCompany RACEManagementPCLPublicationofProspectus May26,2009SubscriptionPeriod June21,2009 July4,2009Nature: ClosedendMutualFundoftenyearstenure.

    NetAssetValueAtcostpricetk.13.29Atmarketprice Tk. 14.51

    3.2.4.2TRUSTBANK1STM.F.TomakeourstockmarketmorevibrantandefficientfurthermoreTrustBank1stMutual

    Fundwouldexpandthebanksproductofferingstoclients.InordertoefficientlylaunchTrustBank1stMutualFund,theBankhasappointedRACEManagementthathasalreadymadeitsmarkinthelocalmarketbysuccessfullylaunchingthefirstevercommercialbanksponsoredmutualfund,EBLFirst Mutual Fund. The Fund is establishedwith a view to broaden the base of investment anddevelopthecapitalmarket.

    BasicInfo.

    Name: TrustBank1stMutualFund

    SizeoftheFund Tk.200croredividedinto200,000,000units.FaceValue Tk.10.00perunit.Sponsor TrustBankLimitedSponsorsContribution 40,000,000UnitsofTk.10eachatparforTk.400,000,000Auditor SFAhmed&Co.CharteredAccountantsPublicOffer 20,000,000UnitsofTk10eachatparforTK200,000,000Trustee&Custodian InvestmentCorporationofBangladesh(ICB)AssetmanagementCompany RACEManagementPCLNetAssetValue

    Atcostpricetk.12.66AtmarketpriceTk.14.08

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    35

    3.2.5LRGLOBALM.F.HereisabriefaboutDBH1standGreenDelta.

    3.2.5.1DBH1STMUTUALM.F.DBHisoneofthefirstnonbankingfinancialinstitutionsinBangladeshtosponsoramutual

    fund. Shares of DBH are quoted on the Bangladesh stock exchanges and have a total marketcapitalizationofapproximatelyTk.6,513millionandshareholdersequityisaboutTk.942million.

    TheFundwillbeaclosedendmutualfundof10(Ten)yearstenure,establishedwithaviewtobroadenthebaseofinvestmentanddevelopthecapitalmarket.TheTrustDeedalsoprovidestheflexibilitytotheunitholderstoextendthetenureoftheFundbeyondtheinitial10yearsasperSECregulations.

    BasicInfo.

    Name DBHFirstMutualFund

    SizeoftheFund Tk.120croredividedinto120,000,000units.FaceValue&Marketlot Tk.10.00perunit,500unitsperlot.Sponsor DeltaBracHousingFinanceCorporationLtd.(DBHSponsorsContribution 20,000,000unitsofTk.10eachatparforTk200,000,000Auditor HodaVasiChowdhury&Co.CharteredAccountantsPublicOffer 40,000,000unitsofTk.10eachatparforTk400,000,000Trustee BangladeshGeneralInsuranceCompanyLimited(BGIC)Custodian StandardCharteredBank(SCB)AssetmanagementCompany LRGlobalBangladeshAssetManagementCompanyLimitedPublicationofProspectus November09,2009

    NetAssetValueAtcostpricetk.12.51AtmarketpriceTk.12.07

    3.2.5.2GREENDELTAM.F.

    GDIChasalonghistoryofinvestinginthecapitalmarketofBangladeshthathasdecidedtosponsor a mutual fund for enhancing their active participation in the countrys capital market.GDICsstrongcorporategovernanceanddynamicmanagementteamistherightpartnertohaveinfurtherbuildingthemutualfundindustry.

    GDIChasanauthorizedpaidupcapitalofTk500millionandissuedpaidupcapitalofTk408 million. The companys shares are trading on both DSE and CSE, and are listed in the Acategory.ThecompanyhasatotalmarketcapitalizationofapproximatelyTk7,150milliononDSE.The Fundwill be a closedendmutual fundof 10 (Ten) years tenure, establishedwith a view tobroadenthebaseofinvestmentanddevelopthecapitalmarket.

    BasicInfo.Name GreenDeltaMutualFundSizeoftheFund Tk.150,00,00,000dividedinto15,00,00,000unitsatparvalueofTk.10.00 each.FaceValue&Marketlot Tk.10.00perunit,500unitsperlot.Sponsor GreenDeltaInsuranceCompanyLtd.SponsorsContribution 1,50,00,000unitsofTk.10eachatparforTk.15,00,00,000Auditor HodaVasiChowdhury&Co.CharteredAccountantsPublicOffer 7,50,00,000unitsofTk.10eachatparforTk.75,00,00,000Trustee BangladeshGeneralInsuranceCompanyLimited(BGIC)Custodian StandardCharteredBank(SCB)AssetmanagementCompany LRGlobalBangladeshAssetManagementCompanyLimited

    NetAssetValue Atcostpricetk.10.27AtmarketpriceTk.9.58

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    36

    3.2.3BSRSM.F.3.2.3.11stBSRSM.F.

    Bangladesh Shilpa Rin Sangstha (BSRS) was established on October 31, 1972 under theBangladeshShilpaRinSangsthaOrder,1972(President'sOrderNo.128of1972)toprovidecreditfacilities and other assistance to industrial concerns and to encourage and broaden the base ofinvestment in Bangladesh. BSRS extends medium and longterm credit facilities to industrialprojectsmainlyintheprivatesector.

    Besides,itprovidesunderwritingfinance/bridgefinance/debentureloanstoPublicLimitedCompanies. BSRS provides underwriting commitment to issuers of stocks and debentures. BSRSalso floats and manages mutual fund thereby providing impetus to the capital market. It alsoregularlyundertakestransactionintheDhakaStockExchange.BSRShastwocommercialbankingbranches.

    TheNAVvalueof1stBSRSmutualfundisatmarketpriceifTk.1812.15andatcostvalueisTk.292.78asonSeptember30,2011.

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    37

    DATAADJUSTMENT&CALCULATIONS

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    38

    4.0DATAADJUSTMENT&CALCULATIONS:Inthissection,Iwilldiscussaboutthedataadjustmentprocessandperformsome

    calculationswhicharenecessaryformyfinalevaluationprocess.

    4.1ADJUSTMENTOFPRICE:Beforeadjustingthepricedataofpreviouslydiscussedtwelvemutualfunds,Ihavetoperform

    anumberofcalculationsteps.Theseinclude

    9 UNADJUSTEDMONTHLYCLOSEPRICEDATAENTRYInthiscase,atfirstIhaveplacedthedividendunadjustedmonthlyclosingpricesfor69

    monthsfromDec2005toAug2011forICB4th,ICB6th,ICB8th,ICBAMCL1st,ICBAMCLIslamic,Grameenone,1stBSRSmutualfundandagaindividendunadjustedweeklyclosingpricesfor66weeks from26May, 2010 to25August, 2011 forEBL1st, TrustBank1st,DBH1st andGreenDeltamutualfunds..Theformatissomehowlikebelow:

    9 CALCULATINGDIVIDENDNowIpreparedaDividendDeclarationScheduletoreflectthetimeandpercentage

    ofdividend(Cash,Bonus&RightShare)declaredforeachoftheselectedmutualfunds.

    Then Idetermined theCashDividendAmount foreachmutual funds for the timeofDec2005toAug2011byusing(FaceValue*DeclaredCashDividendPercentage). TheseschedulesaregiveninAppendix.

    9 ADJUSTINGTHERIGHT&BONUSSHAREWITHUNADJUSTEDDATAToadjustthestockdividend,Ihavedividedthepriceofcumdividendmonth,whichis

    the immediatemonth of exdividendmonth, by (1+StockDividendRate). But in themonthwhen both stock and right share are offered and benefits are included in the price, then theprocedureforadjustmentinthecumdividendandrightwillbeasfollows:

    =(((PricebeforeRight*1)+(RightPrice*(1+RightRatio))/(1+RightRatio))/(1+StockDividendRate))

    Then I have found Stock Dividend and Right Adjusted Price and the result issomehowlikebelow:

    Assetmanager ICB ICBAMCL AIMS BSRS

    MutualFund 4thICB 6thICB8thICB

    AMCL1st

    AMCLIslamic

    Aims1st

    Grameen1

    1stBSRS

    Months

    6Aug11 2220.00 681.75 680.00 579.00 361.00 6.99 99.70 1449.00

    8Jul11 2200.75 741.50 795.00 629.75 348.25 10.06 121.90 1513.50

    9Jun11 2261.00 673.00 708.50 640.25 343.00 7.17 84.30 1395.50

    11May11 2360.00 656.25 670.25 593.75 362.25 7.08 80.40 1428.00

    12Apr11 2317.00 675.00 732.25 610.50 358.75 7.78 85.10 1483.50

    MutualFunds 4thICB6thICB

    8thICB

    AMCL1st

    AMCLIslamic

    Aims1st

    Grameen1

    1stBSRS

    FaceValue 100.00 100.00 100.00 100.00 100.00 1.00 10.00 100.00Months 6Aug11 2220.00 681.75 680.00 579.00 361.00 6.99 99.70 1449.008Jul11 2200.75 741.50 795.00 629.75 348.25 10.06 121.90 1513.509Jun11 2261.00 673.00 708.50 640.25 343.00 7.17 84.30 1395.50

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    39

    4.2PREPARINGRETURNSERIES(USINGCLOSINGPRICE&NAV)ThenIhavecalculatedtheReturnbythefunction:

    =LN ((' NextMonth Right & Stock Dividend Adjusted Price + Cash Dividend Amount)/ ' PriorMonth StockDividendAdjustedPrice').

    Wehavefound68monthlyreturnsand65weeklyreturnsbasedonclosepricebecausethereturnofbeginningmonth(Dec2006)andthereturnofbeginningweek(26May,2010)cannotbecalculateddue tounavailabilityofpriormonthprice (Nov2005)andweekprice (19May,2010)respectively.ButthereturnbasedonNAVis18returnsfor4th,6thand8thICB,22returnsforAMCL1st,AMCLIslamic,Grameen1,AIMS1stand1stBSRSmutualfund,65returnforEBL1st,Trust1st,DBH 1st and 47 for Green Delta mutual fund. Here the differences between returns are due tounavailabilityofNAVdata.Thereturnsresemblesomethinglikebelow:

    4.3CALCULATINGTBILLRATE(MONTHLY&WEEKLY)

    TocalculatetheAverageMonthly&WeeklyRiskFreeRate,Ihavecollectedthe364daysTBillrateformJan2006toAug2011(ForPricebasisreturn)andfromOct2009toAug2011(ForNAVbasisreturn).Thethenbydividingthe360daysTbillratebytwelve,IgetthemonthlyTBillrateforeachofthemonthsfromOct2009toAug2011.AgainbydividingthemonthlyTbillratebyfour,IgettheweeklyTBillrateforeachoftheweeksfrom3June,2010to25August,2011(ForbothpriceandNAVbasisreturn).

    ThecalculationsoftheMonthly&WeeklyRiskFreeRatearegivenbelow:

    4.4CALCULATINGMARKETRETURNInthisstepIhavepreparedreturnseriesofmarketfor68month(ForPricebasisreturn)

    form Jan2006 to Aug2011 and 22months (ForNAV basis return) fromOct2009 to Aug2011.Again,Ihavepreparedreturnseriesofmarketfor65weeks(ForbothpriceandNAVbasisreturn)from3June,2010to25August,2011.IhaveusedDSEGeneralIndexforthispurposeandIhaveusedmarketportfolioasmybenchmarkportfolio.Thereturniscalculatedusingtheformula:

    =LN(nextmonthindexcurrentmonthindex)/currentmonthindex.

    Month 4thICB 6thICB 8thICBAMCL1st

    AMCLIslamic

    AIMS1st Grameen1 1stBSRS

    6Aug11 0.10589 0.20274 0.18915 0.17873 0.19681 0.03971 0.07825 0.07532

    8Jul11 0.11468 0.16089 0.17418 0.10875 0.13618 0.05259 0.08605 0.10501

    9Jun11 0.04470 0.10375 0.11031 0.09685 0.05538 0.05551 0.10834 0.10920

    11May11 0.13795 0.12815 0.15441 0.07754 0.03582 0.01810 0.05210 0.09500

    12Apr11 0.10804 0.10740 0.10965 0.03966 0.08034 0.00447 0.00986 0.04704

    14Mar11 0.09223 0.09713 0.07598 0.02539 0.05390 0.38777 0.01087 0.08918

    BangladeshBankTBillRate(364day)

    YearTBillRate

    MonthlyTBillRate

    MonthTBillRate

    WeeksWeeklyTBill

    Rate6Aug11 0.079000 0.006583

    Aug,2011

    0.079

    8/25/2011 0.001519

    8Jul11 0.076000 0.006333 8/18/2011 0.001519

    9Jun11 0.075500 0.006292 8/11/2011 0.001519

    11May11 0.070000 0.005833 8/4/2011 0.001519

  • PERFORMANCEEVALUATIONOFSELECTEDMUTUALFUNDSINBANGLADESH OCTOBER31,2011

    40

    Thereturnsresemblesomethinglikebelow:

    4.5CALCULATINGMEANRETURNFORMARKET&MUTUALFUNDSTocalculatethemonthlyMeanReturnforMarketandMutualFunds,theformulais,

    =AVERAGE(FirstReturn:LastReturn).

    Here alternatively, I can sum all of the monthly returns and dividing the result by thenumber of month for which returns are available. Themonthly MeanReturn forMarket andMutualFundsofeachcompanyisgivenbelow:

    MutualFundMeanReturn

    MutualFundMeanReturn

    Price NAV Price NAV

    4thICB 2.729% 0.185% EBL1st 0.149% 0.018%

    6thICB 2.630% 0.269% Trust1st 0.193% 0.245%

    8thICB 2.637% 0.166% DBH 0.275% 0.101%

    AMCL1st 1.862% 1.536% GreenDelta 0.988% 0.154%

    AMCLIslamic 2.228% 0.349% Market(Weekly) 0.035% 0.035%

    AIMS1st 2.722% 1.127%

    Grameen1 2.999% 1.391%

    1stBSRS 4.409% 2.434%

    Market(Monthly) 1.925% 2.788%

    4.6CALCULATINGRISKFORMARKET&MUTUALFUNDS

    MarketandmutualfundsriskismeasuredbyvarianceorstandarddeviationofMarketandmutual funds returns. The variance/standard deviation ofMarket andmutual funds reflects notonlythevariance/s