Standard Stochastic Dominance

نویسنده

  • Thierry Post
چکیده

We propose a new stochastic dominance (SD) criterion based on Kimball’s (1993) notion of standard risk aversion, which assumes decreasing absolute risk aversion (DARA) and decreasing absolute prudence (DAP). To implement the proposed criterion, we develop linear systems of optimality conditions for a given prospect relative to a discrete or polyhedral choice set in a general state-space model. An empirical application to historical stock market data shows that small-loser stocks are more appealing to standard risk averters than the existing mean-variance and SD criteria suggest, due to the positive skewness of their return distribution. Depending on the assumed trading strategy and evaluation horizon, accounting for standardness increases abnormal returns by about one to seven percentage points per annum relative to the second-order SD criterion and 50 to 200 basis points per annum relative to mean-variance and higher-order SD criteria. An analysis of the mean-variance tangency portfolio shows that the opportunity cost of the mean-variance approximation to direct utility maximization can be substantial.

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عنوان ژورنال:
  • European Journal of Operational Research

دوره 248  شماره 

صفحات  -

تاریخ انتشار 2016