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Empirical Tests for Stochastic Dominance Efficiency

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Author Info
Thierry Post (Erasmus University Rotterdam in the Netherlands)
Abstract

We derive empirical tests for the stochastic dominance efficiency of a given portfolio with respect to all possible portfolios constructed from a set of assets. The tests can be computed using straightforward linear programming. Bootstrapping techniques and asymptotic distribution theory can approximate the sampling properties of the test results and allow for statistical inference. Our results could provide a stimulus to the further proliferation of stochastic dominance for the problem of portfolio selection and evaluation. Using our tests, the Fama and French market portfolio is significantly inefficient relative to benchmark portfolios formed on market capitalization and book-to-market equity ratio. Copyright (c) 2003 by the American Finance Association.

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Article provided by American Finance Association in its journal The Journal of Finance.

Volume (Year): 58 (2003)
Issue (Month): 5 (October)
Pages: 1905-1932
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Handle: RePEc:bla:jfinan:v:58:y:2003:i:5:p:1905-1932

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  1. Jesus Gonzalo & Jose Olmo, 2008. "Testing downside risk efficiency under market distress," Economics Working Papers we084321, Universidad Carlos III, Departamento de Economía. [Downloadable!]
    Other versions:
  2. Post, G.T. & Vliet, P. van, 2003. "Risk Aversion and Skewness Preference: a comment," Research Paper ERS-2003-009-F&A Revision, 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 Uni. [Downloadable!]
  3. Post, G.T., 2003. "Asset prices and omitted moments; A stochastic dominance analysis of market efficiency," Research Paper ERS-2003-017-F&A Revision, 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 Uni. [Downloadable!]
  4. Le-Yu Chen & Jerzy Szroeter, 2009. "Hypothesis testing of multiple inequalities: the method of constraint chaining," CeMMAP working papers CWP13/09, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
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