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On the optimal investment

José Fajardo (), José Manuel Corcuera and Olivier Menouken Pamen

MPRA Paper from University Library of Munich, Germany

Abstract: In 1988 Dybvig introduced the payoff distribution pricing model (PDPM) as an alternative to the capital asset pricing model (CAPM). Under this new paradigm agents preferences depend on the probability distribution of the payoff and for the same distribution agents prefer the payoff that requires less investment. In this context he gave the notion of efficient payoff. Both approaches run parallel to the theory of choice of von Neumann -Morgenstern (1947), known as the Expected Utility Theory and posterior axiomatic alternatives. In this paper we consider the notion of optimal payoff as that maximizing the terminal position for a chosen preference functional and we investigate the relationship between both concepts, optimal and efficient payoffs, as well as the behavior of the efficient payoffs under different market dynamics. We also show that path-dependent options can be efficient in some simple models.

Keywords: Expected Utility; Prospect Theory; Risk Aversion; Law invariant preferences; Growth Optimal Portfolio; Portfolio Numeraire. (search for similar items in EconPapers)
JEL-codes: D03 D11 G02 G11 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-upt
Date: 2016-06-06
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