English

Malliavin Differentiability of the Generalized Heston Model

Probability 2020-03-04 v1

Abstract

It is well known that Malliavin calculus can be applied to a stochastic differential equation with Lipschitz continuous coefficients in order to clarify the existence and the smoothness of the solution. In this paper, we apply Malliavin calculus to the CEV-type Heston model whose diffusion coefficient is non-Lipschitz continuous and prove the Malliavin differentiability of the model.

Cite

@article{arxiv.2003.01523,
  title  = {Malliavin Differentiability of the Generalized Heston Model},
  author = {Shota Tsumurai},
  journal= {arXiv preprint arXiv:2003.01523},
  year   = {2020}
}

Comments

27 pages, accepted by Journal of Mathematical Finance

R2 v1 2026-06-23T14:02:02.380Z