English

Continuity correction for barrier options in jump-diffusion models

Probability 2012-12-14 v1

Abstract

The aim of this paper is to study the continuity correction for barrier options in jump-diusion models. For this purpose, we express the pay-off a barrier option in terms of the maximum of the underlying process. We then condition with respect to the jump times and to the values of the underlying at the jump times and rely on the connection between the maximum of the Brownian motion and Bessel processes.

Keywords

Cite

@article{arxiv.1012.3882,
  title  = {Continuity correction for barrier options in jump-diffusion models},
  author = {El Hadj Aly Dia and Damien Lamberton},
  journal= {arXiv preprint arXiv:1012.3882},
  year   = {2012}
}

Comments

33 pp

R2 v1 2026-06-21T17:00:29.909Z