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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.

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  • 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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