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Contribution Details

Type Working Paper
Scope Discipline-based scholarship
Title Second Order Stochastic Dominance, Reward-Risk Portfolio Selection and the CAPM
Organization Unit
Authors
  • Enrico De Giorgi
  • Thierry Post
Language
  • English
Institution University of Zurich
Series Name Working paper series / Institute for Empirical Research in Economics
Number No. 213
ISSN 1424-0459
Date 2005
Abstract Text "Starting from the reward-risk model for portfolio selection introduced in De Giorgi (2004), we derive the reward-risk Capital Asset Pricing Model (CAPM) analogously to the classical mean-variance CAPM. The reward-risk portfolio selection arises from an axiomatic definition of reward and risk measures based on few basic principles, including consistency with second order stochastic dominance. With complete markets,nwe show that at any financial market equilibrium, investors’ optimal allocations arencomonotonic and therefore the capital market equilibrium model can be reduced to a representative investor model. Moreover, the pricing kernel is an explicitly given,nmonotone function of the market portfolio return, corresponding to the increments of the distortion function characterizing the representative investor’s risk perceptions.nFinally, an empirical application shows that the reward-risk CAPM better captures the cross-section of US stock returns than the mean-variance CAPM does."
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