{ "id": "0809.0423", "version": "v1", "published": "2008-09-02T15:01:18.000Z", "updated": "2008-09-02T15:01:18.000Z", "title": "An extended existence result for quadratic BSDEs with jumps with application to the utility maximization problem", "authors": [ "Marie Amelie Morlais" ], "comment": "37 pages", "categories": [ "math.PR" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2008-09-02T15:01:18.000Z" } ], "analyses": { "subjects": [ "91B28", "60H10" ], "keywords": [ "quadratic bsde", "extended existence result", "application", "exponential utility maximization problem", "main task consists" ], "note": { "typesetting": "TeX", "pages": 37, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0809.0423A" } } }