%0 Journal Article %T An extended existence result for quadratic BSDEs with jumps with application to the utility maximization problem %A Marie Amelie Morlais %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0809.0423v1