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The Market Portfolio May Be Mean/Variance Efficient After All

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  • Moshe Levy
  • Richard Roll
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    Abstract

    Numerous studies have examined the mean/variance efficiency of various market proxies by employing sample parameters and have concluded that these proxies are inefficient. These findings cast doubt about the capital asset pricing model (CAPM), one of the cornerstones of modern finance. This study adopts a reverse-engineering approach: given a particular market proxy, we find the minimal variations in sample parameters required to ensure that the proxy is mean/variance efficient. Surprisingly, slight variations in parameters, well within estimation error bounds, suffice to make the proxy efficient. Thus, many conventional market proxies could be perfectly consistent with the CAPM and useful for estimating expected returns. The Author 2010. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org., Oxford University Press.

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    Bibliographic Info

    Article provided by Society for Financial Studies in its journal The Review of Financial Studies.

    Volume (Year): 23 (2010)
    Issue (Month): 6 (June)
    Pages: 2464-2491

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    Handle: RePEc:oup:rfinst:v:23:y:2010:i:6:p:2464-2491

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    Cited by:
    1. Marie Brière & Bastien Drut & Valérie Mignon & Kim Oosterlinck & Ariane Szafarz, 2011. "Is the Market Portfolio Efficient? A New Test to Revisit the Roll (1977) versus Levy and Roll (2010) Controversy," EconomiX Working Papers 2011-20, University of Paris West - Nanterre la Défense, EconomiX.
    2. Levy, Haim & Levy, Moshe, 2014. "The benefits of differential variance-based constraints in portfolio optimization," European Journal of Operational Research, Elsevier, vol. 234(2), pages 372-381.
    3. Tobias Schlueter & Soenke Sievers, 2014. "Determinants of market beta: the impacts of firm-specific accounting figures and market conditions," Review of Quantitative Finance and Accounting, Springer, vol. 42(3), pages 535-570, April.
    4. David Ardia & Kris Boudt, 2013. "Implied Expected Returns and the Choice of a Mean-Variance Efficient Portfolio Proxy," Cahiers de recherche 1328, CIRPEE.
    5. Clark, Ephraim & Kassimatis, Konstantinos, 2012. "An empirical analysis of marginal conditional stochastic dominance," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 1144-1151.
    6. : Constantinos Antonio & : John A. Doukas & : Avanidhar Subrahmanyam, 2013. "Investor Sentiment and Beta Pricing," Working Papers wpn13-05, Warwick Business School, Finance Group.
    7. Marie Briere & Bastien Drut & Valérie Mignon & Kim Oosterlinck & Ariane Szafarz, 2012. "Is the Market Portfolio Efficient? A New Test of Mean-Variance Efficiency when All Assets Are Risky," Working Papers CEB 12-003, ULB -- Universite Libre de Bruxelles.

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