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Equilibrium Pricing in Incomplete Markets

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  • Bizid, Abdelhamid
  • Jouini, Elyès

Abstract

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.

Suggested Citation

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

    1. Elyes Jouini, 2020. "Equilibrium pricing and market completion: a counterexample," PSE-Ecole d'économie de Paris (Postprint) halshs-03048797, HAL.
    2. Fu, Ruonan, 2025. "Essays on Ambiguity, Market Incompleteness, and Asset Pricing," Other publications TiSEM 5aac93d9-052e-4db2-a7e7-9, Tilburg University, School of Economics and Management.
    3. 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.
    4. Elyes Jouini, 2020. "Equilibrium pricing and market completion: a counterexample," Economics Bulletin, AccessEcon, vol. 40(3), pages 1963-1969.

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