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金融中伴随算法微分(AAD)的15年

15 years of Adjoint Algorithmic Differentiation (AAD) in finance

Quantitative Finance · 2024
被引 2
人大 BABS 3

中文导读

教程式地介绍了伴随算法微分(AAD)技术,说明其如何应用于蒙特卡洛和偏微分方程这两种期权定价的主要数值方法,并回顾了过去十五年间量化金融领域的重要文献。

Abstract

Following the seminal ‘Smoking Adjoint’ paper by Giles and Glasserman [Smoking adjoints: Fast monte carlo greeks. Risk, 2006, 19, 88–92], the development of Adjoint Algorithmic Differentiation (AAD) has revolutionized the way risk is computed in the financial industry. In this paper, we provide a tutorial of this technique, illustrate how it is immediately applicable for Monte Carlo and Partial Differential Equations applications, the two main numerical techniques used for option pricing, and review the most significant literature in quantitative finance of the past fifteen years.

金融数学计算金融金融经济学计量经济学