Linear tests for decreasing absolute risk aversion stochastic dominance

Thierry Post, Yi Fang, Miloš Kopa

Research output: Contribution to journalArticle

15 Citations (Scopus)

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 Nth-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.

Original languageEnglish
Pages (from-to)1615-1629
Number of pages15
JournalManagement Science
Volume61
Issue number7
DOIs
Publication statusPublished - Jul 1 2015
Externally publishedYes

Fingerprint

Decreasing absolute risk aversion
Stochastic dominance
Stock market
Market portfolio
Inefficiency
Choice sets
Approximation
Skewness
Marginal utility
Violations
Mean-variance
Market data

Keywords

  • Bootstrapping
  • Decreasing absolute risk aversion
  • Linear programming
  • Market portfolio efficiency
  • Pricing kernel
  • Skewness
  • Stochastic dominance
  • Utility theory

ASJC Scopus subject areas

  • Strategy and Management
  • Management Science and Operations Research

Cite this

Linear tests for decreasing absolute risk aversion stochastic dominance. / Post, Thierry; Fang, Yi; Kopa, Miloš.

In: Management Science, Vol. 61, No. 7, 01.07.2015, p. 1615-1629.

Research output: Contribution to journalArticle

Post, Thierry ; Fang, Yi ; Kopa, Miloš. / Linear tests for decreasing absolute risk aversion stochastic dominance. In: Management Science. 2015 ; Vol. 61, No. 7. pp. 1615-1629.
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