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A stochastic maximum principle via Malliavin calculus

Year: 2009
Type: preprint
Abstract: This paper considers a controlled Itô-Lévy process where the information available to the controller is possibly less than the overall information. All the system coefficients and the objective performance functional are allowed to be random, possibly non-Markovian. Malliavin calculus is employed to derive a maximum principle for the optimal control of such a system where the adjoint process is explicitly expressed.
Authors: Meyer-Brandis, Thilo, Zhou, Xunyu, Oksendal, Bernt
Language: English
Subfield: Finance
Open Access status: green
OpenAlex ID: W1496869033
Cites: 16
Cited by: 8
Related to: 10