An extended existence result for quadratic BSDEs with jumps with application to the utility maximization problem

Details An extended existence result for quadratic BSDEs with jumps with application to the utility maximization problem An extended existence result for quadratic BSDEs with jumps with application to the utility maximization problem

2008-09-02

arxiv.org/abs/0809.0423v1

Mathematics

Probability

37 pages

Scientific paper

In this study, we consider the exponential utility maximization problem in the context of a jump-diffusion model. To solve the problem, we rely on the dynamic programming principle and we derive from it a quadratic BSDE with jumps. Since this quadratic BSDE is driven both by a Wiener process and by a Poisson random measure having a Levy measure with infinite mass, our main task consists in establishing a new existence result for the specific BSDE introduced.

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