Pricing of Non-redundant Derivatives in a Complete Market
AbstractWe consider a complete financial market with primitive assets and derivatives on these primitive assets. Nevertheless, the derivative assets are non-redundant in the market, in the sense that the market is complete, only with their existence. In such a framawork, we derive an equilibrium restriction on the admissible prices of derivatives assets. The equilibrium condition imposes a well-ordering principle equivalent martingale measures. This restriction is preference free and applies whenever the utility functions belong to the general class of Von-Neumann Morgenstern functions. We provide numerical examples that show the applicability of restriction for the computation of option prices
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Bibliographic InfoPaper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00167151.
Date of creation: Dec 1998
Date of revision:
Publication status: Published, Review of Derivatives Research, 1998, 2, 4, 287-314
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Other versions of this item:
- 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.
- Elyes Jouini & Pierre-Francois Koehl, . "Pricing of Non-redundant Derivatives in a Complete Market," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-009, New York University, Leonard N. Stern School of Business-.
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
- D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
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- 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.
- Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-32, May.
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- 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.
- 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.
- repec:ner:dauphi:urn:hdl:123456789/30 is not listed on IDEAS
- Abdelhamid Bizid & Elyès Jouini, 2005.
"Equilibrium Pricing in Incomplete Markets,"
UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers)
- Marc Rieger, 2011. "Co-monotonicity of optimal investments and the design of structured financial products," Finance and Stochastics, Springer, vol. 15(1), pages 27-55, January.
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