How to Price Efficiently European Options in Some Geometric Lévy Processes Models?

19 Pages Posted: 6 Jul 2007

See all articles by Francois Quittard-Pinon

Francois Quittard-Pinon

EMLYON Business School

Rivo A Randrianarivony

University of Rennes 1; CREM (UMR CNRS 6211)

Date Written: July 2007

Abstract

This paper presents the implementation to the class of jump diffusion models of the approach used by Boyarchenko and Levendorskii (2002) in the case of exponential Lévy models. We show that this approach is more computationally efficient than the semi closed form solutions derived by Kou (2002), especially compared to the latter case. A brand new model is then presented. It extends and generalizes Kou model.

Keywords: jump diffusion, option pricing, Fourier transform, Lévy models

JEL Classification: C63, G13

Suggested Citation

Quittard-Pinon, Francois and Randrianarivony, Rivo A, How to Price Efficiently European Options in Some Geometric Lévy Processes Models? (July 2007). Available at SSRN: https://ssrn.com/abstract=998312 or http://dx.doi.org/10.2139/ssrn.998312

Francois Quittard-Pinon

EMLYON Business School ( email )

23, Avenue Guy de Collongue
69134, Ecully
France

Rivo A Randrianarivony (Contact Author)

University of Rennes 1 ( email )

11 Rue Jean Macé
Rennes, Rennes 35708
France

CREM (UMR CNRS 6211) ( email )

7, Place Hoche
Rennes, Bretagne 35065
France