An efficient algorithm for Bermudan barrier option pricing |
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Authors: | DING Deng HUANG Ning-ying ZHAO Jing-ya |
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Affiliation: | 1. Department of Mathematics, University of Macau, Macao, China 2. Statistics Department, China Banking Regulatory Commission, Beijing 100140, China |
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Abstract: | An efficient option pricing method based on Fourier-cosine expansions was presented by Fang and Oosterlee for European options in 2008, and later, this method was also used by them to price early-exercise options and barrier options respectively, in 2009. In this paper, this method is applied to price discretely American barrier options in which the monitored dates are many times more than the exercise dates. The corresponding algorithm is presented to practical option pricing. Numerical experiments show that this algorithm works very well and efficiently for different exponential Lévy asset models. |
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Keywords: | American harrier option Bermudan option Fourier transform Fourier-cosine expansion. |
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