Portfolio Choice based on Third-degree Stochastic Dominance, With an Application to Industry Momentum

Thierry Post () and Milos Kopa ()
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Thierry Post: Koç University, Graduate School of Business
Milos Kopa: Charles University Prague, Department of Probability and Mathematical Statistics

Koç University-TUSIAD Economic Research Forum Working Papers from Koc University-TUSIAD Economic Research Forum

Abstract: We develop and implement a portfolio optimization method for building investment portfolios that dominate a given benchmark index in terms of third-degree stochastic dominance. Our approach relies on the properties of the semi-variance function, a refinement of an existing 'super-convex' dominance condition and quadratic constrained programming. To reduce the computational burden in large-scale applications, we propose a problem reduction method based on vertex enumeration. We apply our method to historical stock market data using an industry momentum strategy. Our enhanced portfolio generates important performance improvements compared with alternatives based on mean-variance dominance and second-degree stochastic dominance. Relative to the benchmark, our portfolio increases average out-of-sample return by almost seven percentage points per annum without incurring more downside risk, using quarterly rebalancing and without short selling.

Keywords: Portfolio choice; Stochastic dominance; Semi-variance; Quadratic programming; Enhanced indexing; Industry momentum. (search for similar items in EconPapers)
JEL-codes: C61 D81 G11 (search for similar items in EconPapers)
Pages: 28 pages
Date: 2015-12
New Economics Papers: this item is included in nep-ore
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