用伴随Pde方法快速求解马尔可夫泛函模型

Nick Denson, M. Joshi
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引用次数: 5

摘要

本文论证了伴随偏微分方程方法如何用于马尔可夫泛函模型中的希腊元计算。这是一种精确而有效的计算希腊的方法,其中大多数模型灵敏度可以在使用有限差分的近似相同时间内计算出单个灵敏度。我们使用马尔可夫函数利率模型演示了该方法的速度和准确性,也演示了如何将模型希腊转换为市场希腊。
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Fast Greeks for Markov-Functional Models Using Adjoint Pde Methods
This paper demonstrates how the adjoint PDE method can be used to compute Greeks in Markov-functional models. This is an accurate and efficient way to compute Greeks, where most of the model sensitivities can be computed in approximately the same time as a single sensitivity using finite difference. We demonstrate the speed and accuracy of the method using a Markov-functional interest rate model, also demonstrating how the model Greeks can be converted into market Greeks.
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