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Equilibrium Pricing in Incomplete Markets

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  • Bizid, Abdelhamid
  • Jouini, Elyès

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.

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Bibliographic Info

Article provided by Cambridge University Press in its journal Journal of Financial and Quantitative Analysis.

Volume (Year): 40 (2005)
Issue (Month): 04 (December)
Pages: 833-848

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Handle: RePEc:cup:jfinqa:v:40:y:2005:i:04:p:833-848_00

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  1. 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.
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  4. Elyes Jouini & Clotilde Napp, 1999. "Continuous Time Equilibrium Pricing of Nonredundant Assets," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-008, New York University, Leonard N. Stern School of Business-.
  5. Duffie, Darrell & Zame, William, 1989. "The Consumption-Based Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 57(6), pages 1279-97, November.
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  14. Jouini, Elyès & Bizid, Abdelhamid & Koehl, Pierre-François, 1999. "Pricing of non-redundant derivatives in a complete market," Economics Papers from University Paris Dauphine 123456789/5605, Paris Dauphine University.
  15. 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.
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  19. Douglas T. Breeden & Michael R Gibbons & Robert H. Litzenberger, . "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.
  20. Detemple, Jerome B & Selden, Larry, 1991. "A General Equilibrium Analysis of Option and Stock Market Interactions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(2), pages 279-303, May.
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