论文标题

广义Heston模型的Malliavin可差度

Malliavin Differentiability of the Generalized Heston Model

论文作者

Tsumurai, Shota

论文摘要

众所周知,Malliavin微积分可以用Lipschitz连续系数应用于随机微分方程,以阐明溶液的存在和平滑度。在本文中,我们将Malliavin演算应用于CEV型Heston模型,该模型的扩散系数是非lipschitz连续的,并证明了该模型的Malliavin可不同性。

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.

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