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Equilibrium Pricing in Incomplete Markets

Author

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  • Elyès Jouini
  • Abdelhamid Bizid

Abstract

Given exogenously the price process of some assets, we constrain the price process of other assets, which are characterized by their final pay-offs. We deal with an incomplete market framework in a discrete time model and assume the existence of the equilibrium. In this setup, we derive restrictions on the state-price deflators and these restrictions do not depend on a particular choice of utility function. A stochastic volatility model is numerically investigated as an example. Our approach leads to an interval of admissible prices much better than the arbitrage pricing interval.

Suggested Citation

  • Elyès Jouini & Abdelhamid Bizid, 2003. "Equilibrium Pricing in Incomplete Markets," Finance 0312004, EconWPA.
  • Handle: RePEc:wpa:wuwpfi:0312004
    Note: Type of Document - pdf; prepared on Win98; pages: 25
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    References listed on IDEAS

    as
    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
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    5. Dybvig, Philip H, 1988. "Distributional Analysis of Portfolio Choice," The Journal of Business, University of Chicago Press, vol. 61(3), pages 369-393, July.
    6. Zhou, Chunsheng, 1999. "Informational Asymmetry and Market Imperfections: Another Solution to the Equity Premium Puzzle," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(04), pages 445-464, December.
    7. 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..
    8. Douglas T. Breeden & Michael R Gibbons & Robert H. Litzenberger, "undated". "Empirical Tests of the Consumption-Oriented CAPM," Rodney L. White Center for Financial Research Working Papers 07-89, Wharton School Rodney L. White Center for Financial Research.
    9. Perrakis, Stylianos, 1986. "Option Bounds in Discrete Time: Extensions and the Pricing of the American Put," The Journal of Business, University of Chicago Press, vol. 59(1), pages 119-141, January.
    10. Elyes Jouini & Pierre-Francois Koehl, "undated". "Pricing of Non-redundant Derivatives in a Complete Market," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-009, New York University, Leonard N. Stern School of Business-.
    11. Philip H. Dybvig, 1988. "Inefficient Dynamic Portfolio Strategies or How to Throw Away a Million Dollars in the Stock Market," Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 67-88.
    12. Jouini, Elyes & Kallal, Hedi, 2001. "Efficient Trading Strategies in the Presence of Market Frictions," Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 343-369.
    13. Breeden, Douglas T & Gibbons, Michael R & Litzenberger, Robert H, 1989. " Empirical Tests of the Consumption-Oriented CAPM," Journal of Finance, American Finance Association, vol. 44(2), pages 231-262, June.
    14. M. Avellaneda & A. Levy & A. ParAS, 1995. "Pricing and hedging derivative securities in markets with uncertain volatilities," Applied Mathematical Finance, Taylor & Francis Journals, vol. 2(2), pages 73-88.
    15. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
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    17. 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.
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    Cited by:

    1. Tianyang Wang & James Dyer & Warren Hahn, 2015. "A copula-based approach for generating lattices," Review of Derivatives Research, Springer, vol. 18(3), pages 263-289, October.

    More about this item

    Keywords

    equilibrium pricing; incomplete markets; state-price deflator; arbitrage pricing; stochastic volatility;

    JEL classification:

    • G - Financial Economics

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