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Incomplete Financial Markets and Contingent Claim Pricing in a dual expected utility theory framework

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  • Massimiliano Corradini
  • Andrea Gheno

Abstract

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.

Suggested Citation

  • Massimiliano Corradini & Andrea Gheno, 2008. "Incomplete Financial Markets and Contingent Claim Pricing in a dual expected utility theory framework," Departmental Working Papers of Economics - University 'Roma Tre' 0085, Department of Economics - University Roma Tre.
  • Handle: RePEc:rtr:wpaper:0085
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    References listed on IDEAS

    as
    1. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    2. 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.
    3. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters,in: Theory Of Valuation, chapter 8, pages 229-288 World Scientific Publishing Co. Pte. Ltd..
    4. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    5. 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.
    6. 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.
    7. 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.
    8. 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 1-25, July.
    9. 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.
    10. 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 637-654, May-June.
    11. 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.
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    More about this item

    Keywords

    Contingent Claim Pricing; Dual Utility Theory; Wang Transform; Incomplete Markets;

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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