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Empirical tests for stochastic dominance optimality

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GRADUATE SCHOOL OF BUSINESS
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If a given risky prospect is compared with multiple choice alternatives, then a joint test for optimality is more appropriate than a series of pairwise Stochastic Dominance tests. We develop and implement a bootstrap empirical likelihood ratio test for this hypothesis. The test statistic and implied probabilities can be computed by searching over discrete distributions that obey a system of linear inequalities using quasi-Monte Carlo simulation and convex optimization methods. An extension of the Kroll-Levy simulation experiment shows favorable small-sample properties for data sets of realistic dimensions. In an application to Fama-French stock portfolios, pairwise tests classify a portfolio of small growth stocks as admissible, whereas our test classifies the portfolio as significantly non-optimal for every risk averter.

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Oxford Univ Press

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Business, Finance, Economics

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Review of Finance

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10.1093/rof/rfw010

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