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Continuous Time Equilibrium Pricing of Nonredundant Assets

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  • Elyes Jouini
  • Clotilde Napp

Abstract

In the context of an incomplete market or of imperfect information, it is well known that the arbitrage approach does not enable us to obtain a unique fair price for all contingent claims but only a fair pricing interval, which is known to be too large to be of great interest. We present here a new approach by exploiting partial conditions issued from equilibrium analysis. The explicit use of market clearing conditions enables us to obtain a unique preference-free admissible price. On a practical point of view, this enables us to give a unique fair price to any contingent claim. Moreover, on a theoretical point of view, this unique price appears to be only dependent on the real economy, as opposed to the financial one.

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Bibliographic Info

Paper provided by New York University, Leonard N. Stern School of Business- in its series New York University, Leonard N. Stern School Finance Department Working Paper Seires with number 99-008.

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Date of creation: 02 Mar 1999
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Handle: RePEc:fth:nystfi:99-008

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Postal: U.S.A.; New York University, Leonard N. Stern School of Business, Department of Economics . 44 West 4th Street. New York, New York 10012-1126
Phone: (212) 998-0100
Web page: http://w4.stern.nyu.edu/finance/
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  1. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
  2. 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.
  3. 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.
  4. Elyégs Jouini & Hédi Kallal, 1995. "Arbitrage In Securities Markets With Short-Sales Constraints," Mathematical Finance, Wiley Blackwell, vol. 5(3), pages 197-232.
  5. A, Bizid & Elyès Jouini & P, F, Koehl, 1997. "Pricing in Incomplete Markets : An Equilibrium Approach," Working Papers 97-41, Centre de Recherche en Economie et Statistique.
  6. Bernard Bensaid & Jean-Philippe Lesne & Henri Pagès & José Scheinkman, 1992. "Derivative Asset Pricing With Transaction Costs," Mathematical Finance, Wiley Blackwell, vol. 2(2), pages 63-86.
  7. Bick, Avi, 1987. "On the Consistency of the Black-Scholes Model with a General Equilibrium Framework," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(03), pages 259-275, September.
  8. repec:fth:inseep:9514 is not listed on IDEAS
  9. Huyěn Pham & Nizar Touzi, 1996. "Equilibrium State Prices In A Stochastic Volatility Model," Mathematical Finance, Wiley Blackwell, vol. 6(2), pages 215-236.
  10. He, Hua & Leland, Hayne, 1993. "On Equilibrium Asset Price Processes," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 593-617.
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Cited by:
  1. Elyès Jouini, 2001. "Arbitrage and Control Problems in Finance. Presentation," Post-Print halshs-00167152, HAL.
  2. Abdelhamid Bizid & Elyès Jouini, 2005. "Equilibrium Pricing in Incomplete Markets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00176484, HAL.
  3. Elyès Jouini & Clotilde Napp, 2002. "Arbitrage pricing and equilibrium pricing : compatibility conditions," Post-Print halshs-00176423, HAL.

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