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Skewness Versus Kurtosis: Implications for Pricing and Hedging Options

机译:偏度与峰度:定价和套期保值的含义

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摘要

We examine the relative influence of the skewness and kurtosis of option-implied risk-neutral density on pricing and hedging performance in the S&P 500 Index options market. We find that skewness exerts a greater impact on pricing and hedging errors than kurtosis. The model that considers skewness shows better performance for pricing and hedging options than the model that only considers kurtosis. Our results are consistent, even when the underlying return is extremely high or low, as well as for options on individual stocks. Overall, risk-neutral skewness is more important than risk-neutral kurtosis for pricing and hedging options.
机译:我们研究了期权隐含风险中性密度的偏度和峰度对标普500指数期权市场中定价和对冲表现的相对影响。我们发现,与峰度相比,偏斜对定价和套期错误的影响更大。与仅考虑峰度的模型相比,考虑偏度的模型在定价和对冲选项方面显示出更好的性能。即使基本收益极高或极低,以及个别股票期权的收益,我们的结果也是一致的。总体而言,对于定价和对冲期权,风险中立偏度比风险中立峰度更重要。

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