English

A note on the optimal dividends problem with transaction costs in a spectrally negative L\'evy model with Parisian ruin

Probability 2023-10-02 v1 Optimization and Control

Abstract

In this note, merging ideas from Loeffen (2009) and Renaud (2019), we prove that an (a,b)-strategy maximizes dividend payments subject to fixed transaction costs in a spectrally negative L\'evy model with Parisian ruin, as long as the tail of the L\'evy measure is log-convex.

Keywords

Cite

@article{arxiv.2309.17152,
  title  = {A note on the optimal dividends problem with transaction costs in a spectrally negative L\'evy model with Parisian ruin},
  author = {Jean-François Renaud},
  journal= {arXiv preprint arXiv:2309.17152},
  year   = {2023}
}