Sensitivity to Estimation Errors in Mean—variance Models-中国Betway体育网页登陆

摘要 Inordertogiveacompleteandaccuratedescriptionaboutthesensitivityofefficientportfoliostochangesinassets'expectedreturns,variancesandcovariances,thejointeffectofestimationerrorsinmeans,variancesandcovariancesontheefficientportfolio'sweightsisinvestigatedinthispaper.Itisprovedthattheefficientportfolio'scompositionisaLipschitzcontinuous,differentiablemappingoftheseparametersundersuitableconditions.Thechangerateoftheefficientportfolio'sweightswithrespecttovariationsaboutriskreturnestimationsisderivedbyestimatingtheLipschitzconstant.Ourgeneralquantitativeresultsshowthattheefficientportfolio''sweightsarenormallynotsosensitivetoestimationerrorsaboutmeansandvariances.Moreover,wepointoutthoseextremecaseswhichmightcausestabilityproblemsandhowtoavoidtheminpractice.Preliminarynumericalresultsarealsoprovidedasanillustrationtoourtheoreticalresults.

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Sensitivity to Estimation Errors in Mean—variance Models

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