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Equilibrium Pricing in Incomplete Markets

  • Bizid, Abdelhamid
  • Jouini, Elyès

Given the exogenous price process of some assets, we constrain the price process of other assets that are characterized by their final payoffs. 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. These restrictions do not depend on a particular choice of utility function. We investigate numerically a stochastic volatility model as an example. Our approach leads to an interval of admissible prices that is more robust than the arbitrage pricing interval.

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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. Darrell Duffie & William Zame, 1988. "The Consumption-Based Capital Asset Pricing Model," Discussion Papers 88-10, University of Copenhagen. Department of Economics.
  2. 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.
  3. A, Bizid & Elyès Jouini & P, F, Koehl, 1997. "Pricing of Non-redundant Derivatives in a Complete Market," Working Papers 97-51, Centre de Recherche en Economie et Statistique.
  4. 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.
  5. 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-.
  6. Philip H. Dybvig, 1987. "Distributional Analysis of Portfolio Choice," Cowles Foundation Discussion Papers 827R, Cowles Foundation for Research in Economics, Yale University, revised Jan 1988.
  7. 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.
  8. 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 119-41, January.
  9. 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.
  10. 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.
  11. 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.
  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 343-69.
  13. Yacine Ait-Sahalia & Andrew W. Lo, 1995. "Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices," NBER Working Papers 5351, National Bureau of Economic Research, Inc.
  14. 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.
  15. Perrakis, Stylianos & Ryan, Peter J, 1984. " Option Pricing Bounds in Discrete Time," Journal of Finance, American Finance Association, vol. 39(2), pages 519-25, June.
  16. 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.
  17. 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 231-62, June.
  18. 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 7-89, Wharton School Rodney L. White Center for Financial Research.
  19. Ritchken, Peter H, 1985. " On Option Pricing Bounds," Journal of Finance, American Finance Association, vol. 40(4), pages 1219-33, September.
  20. 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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