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Optimal payoffs under state-dependent preferences

By Carole Bernard, Franck Moraux, Ludger Rüschendorf and Steven Vanduffel

Abstract

International audienceMost decision theories, including expected utility theory, rank-dependent utility theory and cumulative prospect theory, assume that investors are only interested in the distribution of returns and not in the states of the economy in which income is received. Optimal payoffs have their lowest outcomes when the economy is in a downturn, and this feature is often at odds with the needs of many investors. We introduce a framework for portfolio selection within which state-dependent preferences can be accommodated. Specifically, we assume that investors care about the distribution of final wealth and its interaction with some benchmark. In this context, we are able to characterize optimal payoffs in explicit form. Furthermore, we extend the classical expected utility optimization problem of Merton to the state-dependent situation. Some applications in security design are discussed in detail and we also solve some stochastic extensions of the target probability optimization problem

Topics: Conditional distribution, State-dependent preferences, Optimal portfolio selection, hedging, state-dependent constraints, JEL: G - Financial Economics/G.G1 - General Financial Markets/G.G1.G11 - Portfolio Choice • Investment Decisions, [SHS.ECO]Humanities and Social Sciences/Economics and Finance
Publisher: 'Informa UK Limited'
Year: 2015
DOI identifier: 10.1080/14697688.2014.981576
OAI identifier: oai:HAL:halshs-01118540v1
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