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 and Morgenstern [17], 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.
The work of J.M. Corcuera is supported by the Spanish grant MTM2013-40782-P.
J. Fajardo thanks financial support from CNPq-Brazil.
The research of Menoukeu-Pamen has received partial funding from the European Union’s Seventh Framework Programme for research, technological development and demonstration under grant agreement no 318984-RARE.
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Acknowledgements
This research was carried out at CAS—Centre for Advanced Study at the Norwegian Academy of Science and Letters, Research group SEFE.
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Corcuera, J.M., Fajardo, J., Pamen, O.M. (2016). On the Optimal Investment. In: Kallsen, J., Papapantoleon, A. (eds) Advanced Modelling in Mathematical Finance. Springer Proceedings in Mathematics & Statistics, vol 189. Springer, Cham. https://doi.org/10.1007/978-3-319-45875-5_15
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