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Equilibrium pricing and market completion: a counterexample

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  • Elyes Jouini

    (PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris sciences et lettres - CNRS - Centre National de la Recherche Scientifique)

Abstract

In both arbitrage and utility pricing approaches, the fictitious completion appears as a powerful tool that permits to extend complete markets results to an incomplete markets framework. Does this technique permit to characterize the equilibrium pricing interval? This note provides a negative answer.

Suggested Citation

  • Elyes Jouini, 2020. "Equilibrium pricing and market completion: a counterexample," Post-Print halshs-03048797, HAL.
  • Handle: RePEc:hal:journl:halshs-03048797
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03048797
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    References listed on IDEAS

    as
    1. Elyès Jouini & Hédi Kallal, 1999. "Viability and Equilibrium in Securities Markets with Frictions," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 275-292, July.
    2. 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.
    3. Harrison, J. Michael & Pliska, Stanley R., 1983. "A stochastic calculus model of continuous trading: Complete markets," Stochastic Processes and their Applications, Elsevier, vol. 15(3), pages 313-316, August.
    4. Elyès Jouini & Marie Chazal, 2007. "Equilibrium Pricing Bounds on Option Prices," Working Papers halshs-00176642, HAL.
    5. Elyès Jouini, 2003. "Convergence of the equilibrium prices in a family of financial models," Post-Print halshs-00167153, HAL.
    6. Jouini, Elyes & Napp, Clotilde, 2003. "A class of models satisfying a dynamical version of the CAPM," Economics Letters, Elsevier, vol. 79(3), pages 299-304, June.
    7. 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.
    8. Ioannis Karatzas & John P. Lehoczky & Steven E. Shreve, 1990. "Existence and Uniqueness of Multi-Agent Equilibrium in a Stochastic, Dynamic Consumption/Investment Model," Mathematics of Operations Research, INFORMS, vol. 15(1), pages 80-128, February.
    9. Bizid, Abdelhamid & Jouini, Elyès, 2005. "Equilibrium Pricing in Incomplete Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 40(4), pages 833-848, December.
    10. Stanley R. Pliska, 1986. "A Stochastic Calculus Model of Continuous Trading: Optimal Portfolios," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 371-382, May.
    11. Perrakis, Stylianos & Ryan, Peter J, 1984. "Option Pricing Bounds in Discrete Time," Journal of Finance, American Finance Association, vol. 39(2), pages 519-525, June.
    12. Elyès Jouini & Clotilde Napp, 2002. "Arbitrage Pricing And Equilibrium Pricing: Compatibility Conditions," World Scientific Book Chapters, in: Marco Avellaneda (ed.), Quantitative Analysis In Financial Markets Collected Papers of the New York University Mathematical Finance Seminar(Volume III), chapter 6, pages 131-158, World Scientific Publishing Co. Pte. Ltd..
    13. J. Michael Harrison & Stanley R. Pliska, 1981. "Martingales and Stochastic Integrals in the Theory of Continous Trading," Discussion Papers 454, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    14. repec:dau:papers:123456789/357 is not listed on IDEAS
    15. repec:dau:papers:123456789/56 is not listed on IDEAS
    16. repec:dau:papers:123456789/359 is not listed on IDEAS
    17. 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.
    18. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
    19. repec:dau:papers:123456789/5603 is not listed on IDEAS
    20. Ritchken, Peter H, 1985. "On Option Pricing Bounds," Journal of Finance, American Finance Association, vol. 40(4), pages 1219-1233, September.
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    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

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