Abstract

This paper is concerned with the optimal control of jump type stochastic differential equations associated with (general) Levy generators. The maximum principle is formulated for the solutions of the equations, which is inspired by N. C. Framstad, B. Oksendal and A. Sulem [J. Optim. Theory Appl., 2004, 121: 77–98] (and a continuation, J. Bennett and J. -L. Wu [Front. Math. China, 2007, 2(4): 539–558]). The result is then applied to optimization problems in financial models driven by Levy-type processes.

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