🌙

粗糙赫斯顿有理逼近的推广

A generalization of the rational rough Heston approximation

Quantitative Finance · 2024
被引 2
人大 BABS 3

中文导读

将粗糙赫斯顿分数阶ODE的有理逼近解从纯幂律核推广到Mittag-Leffler核(λ≥0),并给出数值收敛证据。

Abstract

Previously, in Gatheral and Radoičić (Rational approximation of the rough Heston solution. Int. J. Theor. Appl. Finance, 2019, 22(3), 1950010), we derived a rational approximation of the solution of the rough Heston fractional ODE in the special case λ=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 λ≥0. We provide numerical evidence of the convergence of the solution.

随机波动率赫斯顿模型分数阶微分方程金融数学