Systematic Risk and Option Prices

David Horn, Eva Schneider
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Abstract

In a recent paper, Duan and Wei (2007) find that the higher the proportion of systematic risk the higher will be the level and the slope of the implied volatility curve. We show that this result can be explained in a variety of continuous - time option pricing models and explicitly point out the transmission mechanisms that lead to an impact of systematic risk on option prices. Most importantly we show that an investor who uses the structurally correct model but ignores the proportion of systematic risk in the underlying would still price options correctly.
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系统风险和期权价格
Duan和Wei(2007)在最近的一篇论文中发现,系统风险的比例越高,隐含波动率曲线的水平和斜率就越高。我们证明了这一结果可以用多种连续时间期权定价模型来解释,并明确指出了导致系统风险对期权价格影响的传导机制。最重要的是,我们表明,一个投资者使用结构正确的模型,但忽略了基础系统风险的比例,仍然可以正确定价期权。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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