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CHAPTER6TheCapitalAssetPricingModel
9-2ItistheequilibriummodelthatunderliesallmodernfinancialtheoryDerivedusingprinciplesofdiversificationwithsimplifiedassumptionsMarkowitz,Sharpe,LintnerandMossinareresearcherscreditedwithitsdevelopmentCapitalAssetPricingModel(CAPM)
9-3AssumptionsIndividualinvestorsarepricetakersSingle-periodinvestmenthorizonInvestmentsarelimitedtotradedfinancialassetsNotaxesandtransactioncostsInformationiscostlessandavailabletoallinvestorsInvestorsarerationalmean-varianceoptimizersTherearehomogeneousexpectations
9-4Allinvestorswillholdthesameportfolioforriskyassets–marketportfolioMarketportfoliocontainsallsecuritiesandtheproportionofeachsecurityisitsmarketvalueasapercentageoftotalmarketvalueResultingEquilibriumConditions
9-5RiskpremiumonthemarketdependsontheaverageriskaversionofallmarketparticipantsRiskpremiumonanindividualsecurityisafunctionofitscovariancewiththemarketResultingEquilibriumConditions
9-6Figure6.1TheEfficientFrontierandtheCapitalMarketLine
9-7MarketRiskPremiumTheriskpremiumonthemarketportfoliowillbeproportionaltoitsriskandthedegreeofriskaversionoftheinvestor:
9-8Theriskpremiumonindividualsecuritiesisafunctionoftheindividualsecurity’scontributiontotheriskofthemarketportfolio.Anindividualsecurity’sriskpremiumisafunctionofthecovarianceofreturnswiththeassetsthatmakeupthemarketportfolio.ReturnandRiskForIndividualSecurities
9-9GEExampleCovarianceofGEreturnwiththemarketportfolio:Therefore,thereward-to-riskratioforinvestmentsinGEwouldbe:
9-10GEExampleReward-to-riskratioforinvestmentinmarketportfolio:Reward-to-riskratiosofGEandthemarketportfolioshouldbeequal:
9-11GEExampleTheriskpremiumforGE:Restating,weobtain:
9-12ExpectedReturn-BetaRelationshipCAPMholdsfortheoverallportfoliobecause:Thisalsoholdsforthemarketportfolio:
9-13Figure6.2TheSecurityMarketLine
9-14Figure6.3TheSMLandaPositive-AlphaStock
9-15TheIndexModelandRealizedReturnsTomovefromexpectedtorealizedreturns,usetheindexmodelinexcessreturnform:TheindexmodelbetacoefficientisthesameasthebetaoftheCAPMexpectedreturn-betarelationship.
9-16Figure6.4EstimatesofIndividualMutualFundAlphas,1972-1991
9-17IstheCAPMPractical?CAPMisthebestmodeltoexplainreturnsonriskyassets.Thismeans:Withoutsecurityanalysis,αisassumedtobezero.Positiveandnegativealphasarerevealedonlybysuperiorsecurityanalysis.
9-18IstheCAPMPractical?Wemustuseaproxyforthemarketportfolio.CAPMisstillconsideredthebestavailabledescriptionofsecuritypricingandiswidelyaccepted.
9-19EconometricsandtheExpectedReturn-BetaRelationshipStatisticalbiasiseasilyintroduced.MillerandScholespaperdemonstratedhoweconometricproblemscouldleadonetorejecttheCAPMevenifitwereperfectlyvalid.
9-20ExtensionsoftheCAPMZero-BetaModelHelpstoexplainpositivealphasonlowbetastocksandnegativealphasonhighbetastocksConsiderationoflaborincomeandnon-tradedassets
9-21ExtensionsoftheCAPMMerton’sMultiperiodModelandhedgeportfoliosIncorporationoftheeffectsofchangesintherealrateofinterestandinflationConsumption-basedCAPMRubinstein,Lucas,andBreedenInvestorsallocatewealthbetweenconsumptiontodayandinvestmentforthefuture
9-22LiquidityandtheCAPMLiquidity:TheeaseandspeedwithwhichanassetcanbesoldatfairmarketvalueIlliquidityPremium:Discountfromfairmarketvaluethesellermustaccepttoobtainaquicksale.Measuredpartlybybid-askedspreadAstradingcostsarehigher,theilliquiditydiscountwillbegreater.
9-23Figure6.5TheRelationshipBetweenIlliquidityandAverageReturns
9-24LiquidityRiskInafinancialcrisis,liquiditycanunexpectedlydryup.Whenliquidityinonestockdecreases,ittendstodecreaseinotherstocksatthesametime.InvestorsdemandcompensationforliquidityriskLiquiditybetas
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