Unbiased estimation of expected return using CAPM

Unbiased estimation of expected return using CAPM

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时间:2019-07-11

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1、InternationalReviewofFinancialAnalysis12(2003)69–81UnbiasedestimationofexpectedreturnusingCAPMJanBartholdy*,PaulaPeareAarhusSchoolofBusiness,FuglesangsAlle4,AarhusV8210,DenmarkAbstractEstimationofexpectedreturnisrequiredformanyfinancialdecisions.Forexample,anesti

2、mateforcostofcapitalisrequiredforcapitalbudgetingandcostofequityestimatesareneededforperformanceevaluationbasedonmeasuressuchasEVA.EstimatesforexpectedreturnareoftenbasedontheCapitalAssetPricingModel(CAPM),whichstatesthatexpectedexcessreturn(expectedreturnminusth

3、erisk-freerate)isequaltotheasset’ssensitivitytotheworldmarketportfolio(b)timestheriskpremiumonthe‘‘worldmarketportfolio’’(themarketriskpremium).Sincetheworldmarketportfolio,bydefinition,containsallassetsintheworld,itisnotobservable.Asaresult,anestimateforexpected

4、returniscommonlyobtainedbytakinganestimateforbbasedonsomeindex(asaproxyfortheworldmarketportfolio)andanestimateforthemarketriskpremiumbasedonapotentiallydifferentindexandmultiplyingthemtogether.Inthispaper,itisshownthatthisresultsinabiasedestimateforexpectedretur

5、n.Thisisundesirablesincebiasedestimatesleadtomisallocationoffundsandbiasedperformancemeasures.ItisalsoshowninthispaperthatthestraightforwardproceduresuggestedbyFamaandMacBeth[J.Financ.Econ.1(1974)43]resultsinanunbiasedestimateforexpectedreturn.Furtherfromtheanaly

6、sisdone,itfollowsthat,foranunbiasedestimate,itdoesnotmatterwhatproxyisused,aslongasitisusedcorrectlyanunbiasedestimateforexpectedreturnresults.D2003ElsevierScienceInc.Allrightsreserved.Keywords:CapitalAssetPricingModel;Expectedreturn;Unbiasedestimate1.Introductio

7、nEstimatingexpectedreturniscrucialformanyfinancialdecisions,suchasinvestmentdecisions,capitalbudgetingdecisions,capitalstructuredecisions,andperformanceevalu-*Correspondingauthor.E-mailaddresses:jby@asb.dk(J.Bartholdy),ppe@asb.dk(P.Peare).1057-5219/03/$–seefrontm

8、atterD2003ElsevierScienceInc.Allrightsreserved.doi:10.1016/S1057-5219(02)00122-970J.Bartholdy,P.Peare/InternationalReviewofFinancialAnalysis12(2003)69–81ationu

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