稳健价差期权定价

I. Kolpakov
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引用次数: 2

摘要

本文考察了Hurd和Zhou(2010)对欧式点差期权定价方法的准确性和稳健性。该方法通过在均匀网格上求和来逼近不定二元积分,该方法的精度取决于截断界的选择和网格点的数量。我为价差期权的一个现实样本找到了最优参数,并表明定价过程可以通过使用Andersen和Andreasen(2002)中提出的一种技术来更快、更稳健,即用正态回归近似对数收益的真实分布,并将收益变换与精确变换和近似变换的差异进行积分。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Robust Spread Option Pricing
I examine accuracy and robustness of European spread option pricing method of Hurd and Zhou (2010) for European spread options. This method approximates an indefinite bivariate integral by a sum over a uniform grid and the method's accuracy varies greatly depending on the choice of truncation bounds and the number of grid points. I find optimal parameters for a realistic sample of spread options and show that the pricing procedure can be made both faster and more robust by using a technique suggested in Andersen and Andreasen (2002), namely approximating the true distribution of log returns with a normal one and integrating the payoff transform against the difference of exact and approximating transforms.
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