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LP Tests for MV Efficiency

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  • Post, G.T.

Abstract

We derive empirical tests for the mean-variance efficiency of a given portfolio. The tests can be computed using straightforward linear programming, and they give substantial flexibility in modeling the investment possibilities. Using this test, we can reject the hypothesis that the S&P 500 index is mean-variance efficient relative to the 25 Fama and French (1993) equity portfolios.

Suggested Citation

  • Post, G.T., 2001. "LP Tests for MV Efficiency," ERIM Report Series Research in Management ERS-2001-66-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:130
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    References listed on IDEAS

    as
    1. Meyer, Jack, 1979. "Mean-Variance Efficient Sets and Expected Utility," Journal of Finance, American Finance Association, vol. 34(5), pages 1221-1229, December.
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    3. Huberman, Gur & Kandel, Shmuel, 1987. "Mean-Variance Spanning," Journal of Finance, American Finance Association, vol. 42(4), pages 873-888, September.
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    6. Nijman, T.E. & de Roon, F.A. & Werker, B.J.M., 2001. "Testing for Mean-Variance spanning with short sales constraints and transaction costs : The case of emerging markets," Other publications TiSEM f4a3551a-d7ae-4c22-8813-b, Tilburg University, School of Economics and Management.
    7. Levy, Haim & Hanoch, Giora, 1970. "Relative Effectiveness of Efficiency Criteria for Portfolio Selection," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 5(1), pages 63-76, March.
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    9. Post, G.T., 2001. "Spanning and Intersection: a stochastic dominance approach," ERIM Report Series Research in Management ERS-2001-63-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.
    10. Hiroshi Konno & Hiroaki Yamazaki, 1991. "Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market," Management Science, INFORMS, vol. 37(5), pages 519-531, May.
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    13. Bigelow, John Payne, 1993. "Consistency of mean-variance analysis and expected utility analysis : A complete characterization," Economics Letters, Elsevier, vol. 43(2), pages 187-192.
    14. de Roon, F.A. & Nijman, T.E. & Werker, B.J.M., 2000. "Evaluating Style Analysis," ERIM Report Series Research in Management ERS-2000-11-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.
    15. Martin R. Young, 1998. "A Minimax Portfolio Selection Rule with Linear Programming Solution," Management Science, INFORMS, vol. 44(5), pages 673-683, May.
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    More about this item

    Keywords

    linear programming; mean-variance analysis; portfolio selection and evaluation; quadratic programming;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • G3 - Financial Economics - - Corporate Finance and Governance
    • M - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics

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