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通过减少和重用随机数改进布朗半平稳过程的混合方案

Refinement by reducing and reusing random numbers of the Hybrid scheme for Brownian semistationary processes

Quantitative Finance · 2021
被引 10
人大 BABS 3

中文导读

改进了Bennedsen等人提出的布朗半平稳过程数值模拟的混合方案,通过正交投影重用随机变量,并应用于粗糙Bergomi模型分析。

Abstract

We revisit the Hybrid scheme proposed by Bennedsen et al. (2017) for numerical simulations of Brownian semistationary processes, and propose a Refinement by Reducing and Reusing random numbers of the Hybrid scheme (3R Hybrid scheme). The key idea is to reuse random variables through orthogonal projections. An application to the analysis of the rough Bergomi model is also given.

随机过程数值模拟金融数学粗糙波动率模型