Analytical Approximations for the Critical Stock Prices of American Options: A Performance Comparison

27 Pages Posted: 4 Oct 2009

Multiple version iconThere are 2 versions of this paper

Date Written: October 3, 2009

Abstract

Many efficient and accurate analytical methods for pricing American options now exist. However, while they can produce accurate option prices, they often do not give accurate critical stock prices. In this paper, we propose two new analytical approximations for American options based on the quadratic approximation. We compare our methods with existing analytical methods including the quadratic approximations in Barone-Adesi and Whaley (1987) and Barone-Adesi and Elliott (1991), the lower bound approximation in Broadie and Detemple (1996), the tangent approximation in Bunch and Johnson (2000), the Laplace inversion method in Zhu (2006b), and the interpolation method in Li (2008). Both of our methods give much more accurate critical stock prices than all the existing methods above.

Keywords: American option, Analytical approximation, Critical stock price

JEL Classification: C02, C63, G13

Suggested Citation

Li, Minqiang, Analytical Approximations for the Critical Stock Prices of American Options: A Performance Comparison (October 3, 2009). Available at SSRN: https://ssrn.com/abstract=1482409 or http://dx.doi.org/10.2139/ssrn.1482409

Minqiang Li (Contact Author)

Bloomberg LP ( email )

731 Lexington Avenue
New York, NY 10022
United States

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