Journal of Computational Finance

Simulation of Lévy processes and option pricing

El Hadj Aly Dia


We approximate an infinite-activity Lévy process by either truncating its small jumps or replacing them by a Brownian motion with the same variance. Then we derive the errors resulting from these approximations for some exotic options (Asian, barrier, lookback and American). We also propose a simple method to evaluate these options using the approximated Lévy process.