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

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Author Info
Post, G.T. (Erasmus Research Institute of Management (ERIM), RSM Erasmus University)
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.

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File URL: http://hdl.handle.net/1765/6729
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Paper provided by 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. in its series Research Paper with number ERS-2005-032-F&A Revision_Date: 2009-10-26.

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Date of creation: 28 Jun 2005
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Handle: RePEc:dgr:eureri:30007066

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Related research
Keywords: mean-variance efficiency; portfolio constraints; asset pricing; portfolio analysis;

This paper has been announced in the following NEP Reports:

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  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 427-65, June. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Hanoch, G & Levy, Haim, 1969. "The Efficiency Analysis of Choices Involving Risk," Review of Economic Studies, Blackwell Publishing, vol. 36(107), pages 335-46, July. [Downloadable!] (restricted)
  4. Reinganum, Marc R., 1981. "A New Empirical Perspective on the CAPM," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(04), pages 439-462, November. [Downloadable!]
  5. Kandel, Shmuel & McCulloch, Robert & Stambaugh, Robert F, 1995. "Bayesian Inference and Portfolio Efficiency," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 8(1), pages 1-53. [Downloadable!] (restricted)
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  6. 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 607-36, May-June. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
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  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 1121-52, September. [Downloadable!] (restricted)
  9. 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 511-27, June. [Downloadable!] (restricted)
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