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A Test for Mean-Variance Efficiency of a given Portfolio under Restrictions

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  • Post, G.T.

Abstract

This study proposes a test for mean-variance efficiency of a given portfolio under general linear investment restrictions. We introduce a new definition of pricing error or “alpha” and as an efficiency measure we propose to use the largest positive alpha for any vertex of the portfolio possibilities set. To allow for statistical inference, we derive the asymptotic least favorable sampling distribution of this test statistic. Using the new test, we cannot reject market portfolio efficiency relative to beta decile stock portfolios if short-selling is not allowed.

Suggested Citation

  • Post, G.T., 2005. "A Test for Mean-Variance Efficiency of a given Portfolio under Restrictions," ERIM Report Series Research in Management ERS-2005-032-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    • Handle: RePEc:ems:eureri:6729
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    References listed on IDEAS

    as
    1. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    2. Reinganum, Marc R., 1981. "A New Empirical Perspective on the CAPM," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(4), pages 439-462, November.
    3. Kandel, Shmuel & McCulloch, Robert & Stambaugh, Robert F, 1995. "Bayesian Inference and Portfolio Efficiency," Review of Financial Studies, Society for Financial Studies, vol. 8(1), pages 1-53.
    4. G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 335-346.
    5. Blume, Marshall E & Friend, Irwin, 1973. "A New Look at the Capital Asset Pricing Model," Journal of Finance, American Finance Association, vol. 28(1), pages 19-33, March.
    6. Wang, Zhenyu, 1998. "Efficiency loss and constraints on portfolio holdings," Journal of Financial Economics, Elsevier, vol. 48(3), pages 359-375, June.
    7. Sharpe, William F, 1991. "Capital Asset Prices with and without Negative Holdings," Journal of Finance, American Finance Association, vol. 46(2), pages 489-509, June.
    8. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-1152, September.
    9. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    10. MacKinlay, A Craig & Richardson, Matthew P, 1991. "Using Generalized Method of Moments to Test Mean-Variance Efficiency," Journal of Finance, American Finance Association, vol. 46(2), pages 511-527, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    asset pricing; mean-variance efficiency; portfolio analysis; portfolio constraints;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G3 - Financial Economics - - Corporate Finance and Governance
    • M - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics

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