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Fast Fourier Transform Approximation of Foreign Currency Option Pricing Based on Exponential Lévy Model

CHEN Xu WAN Jian-ping

西南交通大学学报(英文版)2007,Vol.15Issue(3):261-270,10.
西南交通大学学报(英文版)2007,Vol.15Issue(3):261-270,10.

Fast Fourier Transform Approximation of Foreign Currency Option Pricing Based on Exponential Lévy Model

Fast Fourier Transform Approximation of Foreign Currency Option Pricing Based on Exponential Lévy Model

CHEN Xu 1WAN Jian-ping1

作者信息

  • 1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China
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摘要

Abstract

To study the approximation of foreign currency option prices when the underlying assets'price dynamics are described by exponential Lévy processes, the convolution representations for option pricing formulas were given, and then the fast Fourier transform(FFT) algorithm was used to get the approximate values of option prices. Finally, a numerical example was given to demonstrate the calculate steps to the option price by FFT.

关键词

Exponential Lévy model/Bilateral Laplace transformation/Measure change/Foreign currency options/Fast Fourier transform

Key words

Exponential Lévy model/Bilateral Laplace transformation/Measure change/Foreign currency options/Fast Fourier transform

分类

信息技术与安全科学

引用本文复制引用

CHEN Xu,WAN Jian-ping..Fast Fourier Transform Approximation of Foreign Currency Option Pricing Based on Exponential Lévy Model[J].西南交通大学学报(英文版),2007,15(3):261-270,10.

基金项目

The National Natural Science Foundation of China (No.10571065) (No.10571065)

西南交通大学学报(英文版)

2662-4745

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