English

A generalization of the rational rough Heston approximation

Computational Finance 2024-02-15 v2

Abstract

Previously, in [GR19], we derived a rational approximation of the solution of the rough Heston fractional ODE in the special case \lambda = 0, which corresponds to a pure power-law kernel. In this paper we extend this solution to the general case of the Mittag-Leffler kernel with \lambda \geq 0. We provide numerical evidence of the convergence of the solution.

Cite

@article{arxiv.2310.09181,
  title  = {A generalization of the rational rough Heston approximation},
  author = {Jim Gatheral and Radoš Radoičić},
  journal= {arXiv preprint arXiv:2310.09181},
  year   = {2024}
}

Comments

10 pages, 6 figures

R2 v1 2026-06-28T12:49:59.204Z