Incomplete Financial Markets and Contingent Claim Pricing in a dual expected utility theory framework
This paper investigates the price for contingent claims in a dual expected utility theory framework, the dual price, considering arbitrage-free nancial markets. A pricing formula is obtained for contingent claims written on n underlying assets following general Itô processes and without any comonotonicity hypothesis. The formula holds both in complete and incomplete markets and also in constrained markets. An application is also considered assuming geometric Brownian motion for the underlying assets and the Wang transform as distortion function.
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- Mahmoud Hamada & Michael Sherris, 2003. "Contingent claim pricing using probability distortion operators: methods from insurance risk pricing and their relationship to financial theory," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(1), pages 19-47.
- Marc J. Goovaerts & Rob Kaas & Roger J.A. Laeven & Qihe Tang, 2004.
"A Comonotonic Image of Independence for Additive Risk Measures,"
Tinbergen Institute Discussion Papers
04-030/4, Tinbergen Institute.
- Goovaerts, Marc J. & Kaas, Rob & Laeven, Roger J.A. & Tang, Qihe, 2004. "A comonotonic image of independence for additive risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 35(3), pages 581-594, December.
- Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
- Denuit Michel & Dhaene Jan & Goovaerts Marc & Kaas Rob & Laeven Roger, 2006. "Risk measurement with equivalent utility principles," Statistics & Risk Modeling, De Gruyter, vol. 24(1/2006), pages 25, July.
- Wang, Shaun S., 2002. "A Universal Framework for Pricing Financial and Insurance Risks," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 32(02), pages 213-234, November.
- Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
- Goovaerts, Marc J. & Laeven, Roger J.A., 2008. "Actuarial risk measures for financial derivative pricing," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 540-547, April.
- Marisa Cenci & Massimiliano Corradini & Andrea Gheno, 2005. "Dynamic portfolio selection in a dual expected utility theory framework," Departmental Working Papers of Economics - University 'Roma Tre' 0056, Department of Economics - University Roma Tre.
- Schmeidler, David, 1989.
"Subjective Probability and Expected Utility without Additivity,"
Econometric Society, vol. 57(3), pages 571-87, May.
- David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
- Cenci, Marisa & Corradini, Massimiliano & Gheno, Andrea, 2006. "Dynamic Portfolio Selection in a Dual Expected Utility Theory Framework," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 36(02), pages 505-520, November.
- Robert C. Merton, 1973. "Theory of Rational Option Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 141-183, Spring.
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