Pricing American Put Options Using the Mean Value Theorem

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• 作者：Humphrey K.K. Tung
• 刊名：Journal of Futures Markets
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：36
• 期：8
• 页码：793-815
• 全文大小：1217K
• ISSN：1096-9934

文摘

This paper proposes a unique framework for the determination of the exercise boundary of American put option utilizing the mean value theorem for integration. We have isolated the path-dependent feature of the problem through a small term, and formulated an iteration procedure that avoids an explicit integration over the exercise boundary in the integral representation of the pricing. Our method outperforms other methods in the literature in terms of accuracy and efficiency for the pricing of American put options with maturity in the region of most practical uses.