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A demonstration of the non-necessity of marginal conditional stochastic dominance for portfolio inefficiency

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  • Zhang, Duo

Abstract

This paper demonstrates that a finding of marginal conditional stochastic dominance between two sub-portfolios of a portfolio, while sufficient for showing inefficiency of the portfolio and hence sub-optimality of the portfolio for all risk-averse investors, is not necessary. It is shown by an example that a portfolio can be inefficient even if, for all pairs of sub-portfolios, there is no marginal conditional stochastic dominance. In such a situation, a universally preferred portfolio can be constructed on the margin only by adjusting the shares of more than two sub-portfolios.

Suggested Citation

  • Zhang, Duo, 2009. "A demonstration of the non-necessity of marginal conditional stochastic dominance for portfolio inefficiency," The Quarterly Review of Economics and Finance, Elsevier, vol. 49(2), pages 417-423, May.
  • Handle: RePEc:eee:quaeco:v:49:y:2009:i:2:p:417-423
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    References listed on IDEAS

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    1. Thierry Post, 2003. "Empirical Tests for Stochastic Dominance Efficiency," Journal of Finance, American Finance Association, vol. 58(5), pages 1905-1931, October.
    2. Post, Thierry & Versijp, Philippe, 2007. "Multivariate Tests for Stochastic Dominance Efficiency of a Given Portfolio," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 42(2), pages 489-515, June.
    3. Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-430, June.
    4. Owen, Joel & Rabinovitch, Ramon, 1983. "On the Class of Elliptical Distributions and Their Applications to the Theory of Portfolio Choice," Journal of Finance, American Finance Association, vol. 38(3), pages 745-752, June.
    5. repec:bla:jfinan:v:58:y:2003:i:5:p:1905-1932 is not listed on IDEAS
    6. K. Victor Chow, 2001. "Marginal Conditional Stochastic Dominance, Statistical Inference, And Measuring Portfolio Performance," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 24(2), pages 289-307, June.
    7. Thierry Post & Haim Levy, 2005. "Does Risk Seeking Drive Stock Prices? A Stochastic Dominance Analysis of Aggregate Investor Preferences and Beliefs," The Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 925-953.
    8. Timo Kuosmanen, 2004. "Efficient Diversification According to Stochastic Dominance Criteria," Management Science, INFORMS, vol. 50(10), pages 1390-1406, October.
    9. Post, Thierry, 2008. "On the dual test for SSD efficiency: With an application to momentum investment strategies," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1564-1573, March.
    10. Haim Shalit & Shlomo Yitzhaki, 1994. "Marginal Conditional Stochastic Dominance," Management Science, INFORMS, vol. 40(5), pages 670-684, May.
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