Revisiting The Capital Asset Pricing Model文档格式.docx
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PortfolioSelection,"
Markowitz'
sseminalworkonriskandreturn—firstpublishedin1952andupdatedin1959—thatpresentedaso-calledefficientfrontierofoptimalinvestment.Whileadvocatingadiversifiedportfoliotoreducerisk,Markowitzstoppedshortofdevelopingapracticalmeanstoassesshowvariousholdingsoperatetogether,orcorrelate,thoughthequestionhadoccurredtohim.
SharpeacceptedMarkowitz'
ssuggestionthatheinvestigatePortfolioTheoryasathesisproject.Byconnectingaportfoliotoasingleriskfactor,hegreatlysimplifiedMarkowitz'
swork.Sharpehascommittedhimselfeversincetomakingfinancemoreaccessibletobothprofessionalsandindividuals.
Fromthisresearch,Sharpeindependentlydevelopedahereticalnotionofinvestmentriskandreward,asophisticatedreasoningthathasbecomeknownastheCapitalAssetPricingModel,ortheCAPM.TheCAPMrattledinvestmentprofessionalsinthe1960s,anditscommandingimportancestillreverberatestoday.In1990,Sharpe'
sroleindevelopingtheCAPMwasrecognizedbytheNobelPrizecommittee.SharpesharedtheNobelMemorialPrizeinEconomicSciencesthatyearwithMarkowitzandMertonMiller,theUniversityofChicagoeconomist.
Everyinvestmentcarriestwodistinctrisks,theCAPMexplains.Oneistheriskofbeinginthemarket,whichSharpecalledsystematicrisk.Thisrisk,laterdubbed"
beta,"
cannotbediversifiedaway.Theother—unsystematicrisk—isspecifictoacompany'
sfortunes.Sincethisuncertaintycanbemitigatedthroughappropriatediversification,Sharpefiguredthataportfolio'
sexpectedreturnhingessolelyonitsbeta—itsrelationshiptotheoverallmarket.TheCAPMhelpsmeasureportfolioriskandthereturnaninvestorcanexpectfortakingthatrisk.
MorethanthreedecadeshavepassedsincetheCAPM'
sintroduction,andSharpehasnotstoodstill.AprofessoroffinanceattheStanfordUniversityGraduateSchoolofBusinesssince1970,hehascraftedseveralfinancialtoolsthatportfoliomanagersandindividualsuseroutinelytobettercomprehendinvestmentrisk,includingreturns-basedstyleanalysis,whichassistsinvestorsindeterminingwhetheraportfoliomanagerisstickingtohisstatedinvestmentobjective.TheSharperatioevaluatesthelevelofriskafundacceptsvs.thereturnitdelivers.
Sharpe'
slatestprojectischaracteristicallyambitious,combininghisdesiretoeducateamassaudienceaboutriskwithhislongtimeloveofcomputers.Technologyisdemocratizingfinance,andSharpeishelpingtopushthispowerfulrevolutionforward.ThroughFinancialEngines,SharpeandhispartnerswillbringprofessionalinvestmentadviceandanalysistoindividualsovertheInternet.
Whatdoyouthinkofthetalkthatbetaisdead?
TheCAPMisnotdead.Anyonewhobelievesmarketsaresoscrewythatexpectedreturnsarenotrelatedtotheriskofhavingabadtime,whichiswhatbetarepresents,musthaveaveryharshviewofreality.
"
Isbetadead?
isreallyfocusedonwhetherornotindividualstockshavehigherexpectedreturnsiftheyhavehigherbetasrelativetothemarket.Itwouldbeirresponsibletoassumethatisnottrue.Thatdoesn'
tmeanwecanconfirmthedata.Wedon'
tseeexpectedreturns;
weseerealizedreturns.Wedon'
tseeex-antemeasuresofbeta;
weseerealizedbeta.Whatmakesinvestmentsinterestingandexcitingisthatyouhavelotsofnoiseinthedata.Soit'
shardtodefinitivelyanswerthesequestions.
Wouldyouapproachastudyofmarketriskdifferentlytodaythanyoudidbackintheearly1960s?
It'
sfunnyhowpeopletendtomisunderstandtheCAPM'
sacademic,theoreticalandscientificprocess.TheCAPMwasaverysimple,verystrongsetofassumptionsthatgotanice,clean,prettyresult.Andthenalmostimmediately,weallsaid,let'
sbringmorecomplexityintoittotrytogetclosertotherealworld.Peoplewenton—myselfandothers—towhatIcall"
extended"
capitalassetpricingmodels,inwhichexpectedreturnisafunctionofbeta,taxes,liquidity,dividendyield,andotherthingspeoplemightcareabout.
DidtheCAPMevolve?
Ofcourse.AretheresultsmorecomplicatedshalljustexpectedreturnisalinearfunctionofbetarelativetotheStandard&
Poor'
s500-StockIndex?
Ofcourse.Butthefundamentalidearemainsthatthere'
snoreasontoexpectrewardjustforbearingrisk.Otherwise,you'
dmakealotofmoneyinLasVegas.Ifthere'
srewardforrisk,it'
sgottobespecial.There'
sgottobesomeeconomicsbehinditorelsetheworldisaverycrazyplace.Idon'
tthinkdifferentlyaboutthosebasicideasatall.
WhataboutHarryMarkowitz'
scontributiontoallofthis?
Markowitzcamealong,andtherewaslight.Markowitzsaidaportfoliohasexpectedreturnandrisk.Expectedreturnisrelatedtotheexpectedreturnofthesecurities,butriskismorecomplicated.Riskisrelatedtotherisksoftheindividualcomponentsaswellasthecorrelations.
Thatmakesriskacomplicatedfeature,andonethathumanbeingshavetroubleprocessing.Youcanputestimatesofrisk/returncorrelationintoacomputerandfindefficientportfolios.Inthisway,youcangetmorereturnforagivenriskandlessriskforagivenreturn,andthat'
sefficiencyalaMarkowitz.
WhatstandsoutinyourmindwhenyouthinkaboutMarkowitz'
scontribution?
Ilikedtheparsimony,thebeauty,ofit.Iwasandamacomputernut.Ilovedthemathematics.Itwassimplebutelegant.Ithadalloftheaestheticqualitiesthatamodelbuilderlikes.Investmenttextsinthepre-Markowitzeraweresimplistic:
Don'
tputallyoureggsinonebasket,orputtheminabasketandwatchitclosely.Therewaslittlequantification.
Tothisday,peoplerecommendacompartmentalizedapproach.Youhaveonepotforyourcollegefund,anotherforyourretirementfund,anotherforyourunemploymentfund.People'
stendencieswhentheydealwiththeseissuesoftenleadtosuboptimalsolutionsbecausetheydon'
ttakecovarianceintoaccount.Correlationisimportant.Youwanttothinkabouthowthingsmovetogether.
TellusaboutyourrelationshipwithMarkowitz.
Harrywasmyunofficialdissertationadvisor.In1960,heandIwerebothattheRANDCorporation.MyofficialadvisorattheUniversityofCaliforniaatLosAngelessuggestedIworkwithHarry,butHarrywasn'
tontheUCLAfaculty.IintroducedmyselftohimandsaidIwasagreatfanofhiswork.
WithMarkowitz'
sencouragement,youdelvedintomarketcorrelation,streamliningPortfolioTheorywiththeuseofasingle-factormodel.Thisbecamepartofyourdissertation,publishedin1963as"
ASimplifiedModelofPortfolioAnalysis."
Ididmydissertationunderastronglysimplifiedassumptionthatonlyonefactorcausedcorrelation.TheresultIgotwasinthatsetting,priceswouldadjustuntilexpectedreturnswerehigherforsecuritiesthathadhigherbetas,wherebetawasthecoefficientwith"
thefactor."
PortfolioTheoryfocusedontheactionsofasingleinvestorwithanoptimalportfolio.YouwonderedwhatwouldhappentoriskandreturnifeveryonefollowedMarkowitzandbuiltefficientportfolios.
Isaidwhatifeveryonewasoptimizing?
They'
veallgottheircopiesofMarkowitzandthey'
redoingwhathesays.ThensomepeopledecidetheywanttoholdmoreIBM,buttherearen'
tenoughsharestosatisfydemand.SotheyputpricepressureonIBMandupitgoes,atwhichpointtheyhavetochangetheirestimatesofriskandreturn,becausenowthey'
repayingmoreforthestock.Thatprocessofupwardanddownwardpressureonpricescontinuesuntilpricesreachanequilibriumandeveryonecollectivelywantstoholdwhat'
savailable.Atthatpoint,whatcanyousayabouttherelationshipbetweenriskandreturn?
Theansweristhatexpectedreturnisproportionatetobetarelativetothemarketportfolio.
InapaperIfinishedin1962thatwaspublishedin1964,Ifoundyoudidn'
thavetoassumeonlyonefactor.Thatbasicresultcomesthroughinamuchmoregeneralsetting.Therecouldbefivefactors,or20factors,orasmanyfactorsastherearesecurities.InaMarkowitzframework,wherepeoplecareabouttheexpectedreturnoftheirportfoliosandtheriskasmeasuredbystandarddeviationtheresultsheld.Thatpaperwascalled"
CapitalAssetPrices:
ATheoryofMarketEquilibriumUnderConditionsOfRisk."
EugeneFamacalledittheCapitalAssetPricingModel.That'
swherethenamecamefrom.
TheCAPMwasandisatheoryofequilibrium.Whyshouldanyoneexpecttoearnmorebyinvestinginonesecurityasopposedtoanother?
Youneedtobecompensatedfordoingbadlywhentimesarebad.Thesecuritythatisgoingtodobadlyjustwhenyouneedmoneywhentimesarebadisasecurityyouhavetohate,andtherehadbetterbesomeredeemingvirtueorelsewhowillholdit?
Thatredeemingvirtuehastobethatinnormaltimesyouexpecttodobetter.ThekeyinsightoftheCapitalAssetPricingModelisthathigherexpectedreturnsgowiththegreaterriskofdoingbadlyinbadtimes.Betaisameasureofthat.Securitiesorassetclasseswithhighbetastendtodoworseinbad