English

Utility Maximization in a jump market model

Probability 2008-12-10 v4 Portfolio Management

Abstract

In this paper, we consider the classical problem of utility maximization in a financial market allowing jumps. Assuming that the constraint set is a compact set, rather than a convex one, we use a dynamic method from which we derive a specific BSDE. We then aim at showing existence and uniqueness results for the introduced BSDE. This allows us to give an explicit expression of the value function and characterize optimal strategies for our problem.

Keywords

Cite

@article{arxiv.math/0612181,
  title  = {Utility Maximization in a jump market model},
  author = {Marie-Amelie Morlais},
  journal= {arXiv preprint arXiv:math/0612181},
  year   = {2008}
}