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Article Dans Une Revue Applied Mathematics and Optimization Année : 2006

Boundary sensitivities for diffusion processes in time dependent domains

Résumé

We study the sensitivity, with respect to a time dependent domain Ds, of expectations of functionals of a diffusion process stopped at the exit from Ds or normally reflected at the boundary of Ds. We establish a differentiability result and give an explicit expression for the gradient that allows the gradient to be computed by Monte Carlo methods. Applications to optimal stopping problems and pricing of American options, to singular stochastic control and others are discussed.

Dates et versions

hal-00103259 , version 1 (03-10-2006)

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Cristina Costantini, Emmanuel Gobet, Nicole El Karoui. Boundary sensitivities for diffusion processes in time dependent domains. Applied Mathematics and Optimization, 2006, 54 (2), pp.159-187. ⟨10.1007/s00245-006-0863-4⟩. ⟨hal-00103259⟩
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