Second-Order Stochastic Dominance, Reward-Risk Portfolio Selection, and the CAPM

B-Tier
Journal: Journal of Financial and Quantitative Analysis
Year: 2008
Volume: 43
Issue: 2
Pages: 525-546

Authors (2)

Score contribution per author:

1.009 = (α=2.02 / 2 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

Starting from the reward-risk model for portfolio selection introduced in De Giorgi (2005), we derive the reward-risk Capital Asset Pricing Model (CAPM) analogously to the classical mean-variance CAPM. In contrast to the mean-variance model, reward-risk portfolio selection arises from an axiomatic definition of reward and risk measures based on a few basic principles, including consistency with second-order stochastic dominance. With complete markets, we show that at any financial market equilibrium, reward-risk investors' optimal allocations are comonotonic and, therefore, our model reduces to a representative investor model. Moreover, the pricing kernel is an explicitly given, non-increasing function of the market portfolio return, reflecting the representative investor's risk attitude. Finally, an empirical application shows that the reward-risk CAPM captures the cross section of U.S. stock returns better than the mean-variance CAPM does.

Technical Details

RePEc Handle
repec:cup:jfinqa:v:43:y:2008:i:02:p:525-546_00
Journal Field
Finance
Author Count
2
Added to Database
2026-01-25