English

BSDEs and log-utility maximization for L\'{e}vy processes

Probability 2019-12-20 v1

Abstract

In this paper we establish the existence and the uniqueness of the solution of a special class of BSDEs for L\'{e}vy processes in the case of a Lipschitz generator of sublinear growth. We then study a related problem of logarithmic utility maximization of the terminal wealth in the filtration generated by an arbitrary L\'{e}vy process.

Cite

@article{arxiv.1912.09289,
  title  = {BSDEs and log-utility maximization for L\'{e}vy processes},
  author = {Paolo Di Tella and Hans-Jürgen Engelbert},
  journal= {arXiv preprint arXiv:1912.09289},
  year   = {2019}
}

Comments

Published at https://doi.org/10.15559/19-VMSTA144 in the Modern Stochastics: Theory and Applications (https://vmsta.org/) by VTeX (http://www.vtex.lt/)

R2 v1 2026-06-23T12:51:13.655Z