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Variational analysis for options with stochastic volatility and multiple factors

J. Frédéric Bonnans 1 Axel Kröner 2, 1
1 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
Abstract : This paper performs a variational analysis for a class of Euro-pean or American options with stochastic volatility models, including those of Heston and Achdou-Tchou. Taking into account partial correlations and the presence of multiple factors, we obtain the well-posedness of the related partial differential equations, in some weigthed Sobolev spaces. This involves a generalization of the commutator analysis introduced by Achdou and Tchou in [2].
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Contributor : J. Frederic Bonnans <>
Submitted on : Monday, April 9, 2018 - 10:48:13 AM
Last modification on : Monday, June 15, 2020 - 12:00:34 PM


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  • HAL Id : hal-01516011, version 2


J. Frédéric Bonnans, Axel Kröner. Variational analysis for options with stochastic volatility and multiple factors. 2018. ⟨hal-01516011v2⟩



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