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Risk-value efficient portfolios and asset pricing

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  • Franke, Günter
  • Weber, Martin

Abstract

Portfolio choice is usually modelled by von Neumann-Morgenstern utility. Risk-value models are more general and permit the derivation of risk-value efficient frontiers. A behaviorally based risk measure with an endogenous or exogenous benchmark is used to derive efficient portfolios and to analyse the implied equilibrium asset pricing. In risk-value models a richer set of sharing rules is obtained than in a von Neumann-Morgenstern world. Linear sharing rules are obtained only for quadratic risk functions. If the risk function is modelled by a negative HARA-function, then sharing rules are convex or concave relative to each other. Hence, agents buy and sell portfolio insurance motivating trade in options. Asset pricing, however, is similar to that in a von Neumann-Morgenstern world.

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  • Franke, Günter & Weber, Martin, 1997. "Risk-value efficient portfolios and asset pricing," Discussion Papers, Series II 354, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    • Handle: RePEc:zbw:kondp2:354
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    1. Unser, Matthias, 2000. "Lower partial moments as measures of perceived risk: An experimental study," Journal of Economic Psychology, Elsevier, vol. 21(3), pages 253-280, June.

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