Clark-Ocone formula for the maximum of processes with the stochastic intensity and its application
Probability
2025-05-27 v1
Abstract
Pricing of the lookback options using the Clark-Ocone formula for the underlying assets driven by stochastic L\'evy processes requires computing the Malliavin derivatives of their maximum or minimum on the Wiener-Poisson space and their distributions. In this work, we will find a generalization of the explicit representation of the Clark-Ocone formula on the maximum of two types of L\'evy processes with stochastic intensity: Cox processes with CIR-modeled intensities, and the Hawkes processes.
Keywords
Cite
@article{arxiv.2505.18370,
title = {Clark-Ocone formula for the maximum of processes with the stochastic intensity and its application},
author = {Mahdieh Tahmasebi},
journal= {arXiv preprint arXiv:2505.18370},
year = {2025}
}