Linear Tests for Decreasing Absolute Risk Aversion Stochastic Dominance

Thierry Post (), Yi Fang and Miloš Kopa ()
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Thierry Post: Graduate School of Business, Koç University, 34450 Sariyer, Istanbul, Turkey
Miloš Kopa: Department of Probability and Mathematical Statistics, Faculty of Mathematics and Physics, Charles University Prague, 186 75 Prague 8, Czech Republic

Management Science, 2015, vol. 61, issue 7, 1615-1629

Abstract: We develop and implement linear formulations of convex stochastic dominance relations based on decreasing absolute risk aversion (DARA) for discrete and polyhedral choice sets. Our approach is based on a piecewise-exponential representation of utility and a local linear approximation to the exponentiation of log marginal utility. An empirical application to historical stock market data suggests that a passive stock market portfolio is DARA stochastic dominance inefficient relative to concentrated portfolios of small-cap stocks. The mean-variance rule and N th-order stochastic dominance rules substantially underestimate the degree of market portfolio inefficiency because they do not penalize the unfavorable skewness of diversified portfolios, in violation of DARA. This paper was accepted by James Smith, decision analysis.

Keywords: stochastic dominance; utility theory; decreasing absolute risk aversion; linear programming; bootstrapping; market portfolio efficiency; pricing kernel; skewness (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (9)

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