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Entropic Conditions and Hedging

Published online by Cambridge University Press:  19 June 2007

Samuel Njoh
Samuel Njoh*
Affiliation:
Université de Marne-La-Vallée, Cité Descartes, 5, Bld Descartes, Champs-Sur-Marne, 77454 Marne-La-Vallée Cedex 2, France; [email protected]
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Abstract

In many markets, especially in energy markets, electricity markets for instance, the detention of the physical asset is quite difficult. This is also the case for crude oil as treated by Davis (2000). So one can identify a good proxy which is an asset (financial or physical) (one)whose the spot price is significantly correlated with the spot price of the underlying (e.g. electicity or crude oil). Generally, the market could become incomplete. We explicit exact hedging strategies for exponential utilities when the risk premium is bounded. Our result is based upon backward stochastic differential equation (BSDE) and a good choice of admissible strategies which allows us to solve our hedging problem.

Keywords

Stochastic optimizationmartingale representation theorem.
Type
Research Article
Information
ESAIM: Probability and Statistics , Volume 11: Special Issue: "Stochastic analysis and mathematical finance" in honor of Nicole El Karoui's 60th birthdaySpecial Issue: "Stochastic analysis and mathematical finance" in honor of Nicole El Karoui's 60th birthday , June 2007 , pp. 197 - 216
Copyright
© EDP Sciences, SMAI, 2007

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