Fast Fourier Transform for Discrete Asian Options
18 Pages Posted: 10 May 2001
Date Written: March 17, 2000
This paper presents an efficient methodology for the discrete Asian options consistent with different types of underlying densities, especially non-normal returns as suggested by the empirical literature (Mandelbrot (1963) and Fama (1965)). Based on Fast Fourier Transform, the method is an enhanced version of the algorithm of Carverhil and Clewlow (1992). The contribution of this paper is to improve their algorithm and to adapt it to non-lognormal densities. This enables us to examine the impact of fat-tailed distribution on price as well as on delta. We find evidence that fat tails lead to wider jumps in the delta.
Keywords: Fast Fourier Transform, Asian options, Convolution, Fat-Tails.
JEL Classification: G13
Suggested Citation: Suggested Citation