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带波动率微笑的拟高斯期限结构模型的高效模拟方法:KLNV方案的实际应用

Efficient simulation methods for the Quasi-Gaussian term-structure model with volatility smiles: practical applications of the KLNV-scheme

Quantitative Finance · 2021
被引 1
人大 BABS 3

中文导读

研究使用高阶离散化框架KLNV方案来高效定价奇异利率衍生品,数值结果显示该方法比传统方法快500到6000倍以上。

Abstract

This paper considers computational challenges to practically important problems related to pricing exotic interest rate derivatives, using the Kusuoka–Lyons–Ninomiya–Victoir scheme (KLNV-scheme) which is a higher-order discretization framework for performing weak approximations of stochastic differential equations. The author demonstrates the KLNV-scheme is even more effective for some types of practical high-dimensional problems, especially when close or approximate solutions to the involved ordinary differential equations can be found. Moreover, the numerical results show the proposed methods are 500 to more than 6000 times faster compared to the conventional methods.

金融工程利率衍生品定价随机波动率模型数值模拟方法