Pricing Early-Exercise and Discrete Barrier Options by Fourier-Cosine Series Expansions

Fang Fang () and Cornelis Oosterlee

MPRA Paper from University Library of Munich, Germany

Abstract: We present a pricing method based on Fourier-cosine expansions for early-exercise and discretely-monitored barrier options. The method works well for exponential Levy asset price models. The error convergence is exponential for processes characterized by very smooth transitional probability density functions. The computational complexity is $O((M-1) N \log{N})$ with $N$ a (small) number of terms from the series expansion, and $M$, the number of early-exercise/monitoring dates.

JEL-codes: G13 (search for similar items in EconPapers)
Date: 2008-06
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Citations: View citations in EconPapers (20)

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