2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168221In 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.37 pagesProbability91B28, 60H10An extended existence result for quadratic BSDEs with jumps with application to the utility maximization problemtext