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Dynamic Portfolio Selection in a Dual Expected Utility Theory Framework

Published online by Cambridge University Press:  17 April 2015

Andrea Gheno
Affiliation:
Università degli studi Roma Tre, Dipartimento di Economia, Via Silvio D’Amico 111, 00145, Roma, Italy, E-mail: [email protected]
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Abstract

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In this paper the dynamic portfolio selection problem is studied for the first time in a dual utility theory framework. The Wang transform is used as distortion function and well diversified optimal portfolios result both with and without short sales allowed.

Type
Articles
Copyright
Copyright © ASTIN Bulletin 2006

Footnotes

*

The authors are from the Department of Economics, Università degli studi Roma Tre, Rome, Italy.

References

Allais, M. (1953) Le comportement de l’homme rationnel devant le risque: Critique des postulats et axiomes de l’école américaine. Econometrica 21, 503546.CrossRefGoogle Scholar
Cvitanic, J. and Karatzas, I. (1992) Convex Duality in Constrained Portfolio Optimization. Annals of Applied Probability 2, 767818.CrossRefGoogle Scholar
Ellsberg, D. (1961) Risk, Ambiguity, and the Savage Axioms. Quarterly Journal of Economics 75, 643669.CrossRefGoogle Scholar
Hadar, J. and Kun Seo, T. (1995) Asset Diversification in Yaari’s Dual Theory. European Economic Review 39, 11711180.CrossRefGoogle Scholar
Hamada, M., Sherris, M. and van der Hoek, J. (2006) Dynamic Portfolio Allocation, the Dual Theory of Choice and Probability Distortion Function. ASTIN Bulletin 36, 187217.CrossRefGoogle Scholar
Karatzas, I. and Kou, S. (1996) On The Pricing Of Contingent Claims Under Constraints. Annals of Applied Probability 6, 321369.CrossRefGoogle Scholar
Merton, R. (1969) Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case. Review of Economics and Statistics 51, 247257.CrossRefGoogle Scholar
Merton, R. (1990) Continuous-Time Finance. Basil Blackwell, Oxford.Google Scholar
Quiggin, J. (1993) Generalized Expected Utility Theory: The Rank-Dependent Expected Utility Model. Kluwer-Nijhoff, Amsterdam.CrossRefGoogle Scholar
Von Neumann, J. and Morgenstern, O. (1944) Theory of Games and Economic Behavior. Princeton University Press, Princeton.Google Scholar
Wang, S. and Young, V. (1998) Ordering risks: expected utility versus Yaari’s dual theory of choice under risk. Insurance: Mathematics & Economics 22, 145162.Google Scholar
Wang, S. (2000) A Class of Distortion Operators for Pricing Financial and Insurance Risks. Journal of Risk and Insurance 67, 1536.CrossRefGoogle Scholar
Wang, S. (2002) A Universal Framework for Pricing Financial and Insurance Risks. ASTIN Bulletin 32, 213234.CrossRefGoogle Scholar
Yaari, M. (1987) The dual theory of choice under risk. Econometrica 55, 95115.CrossRefGoogle Scholar