Numerical Study of the Merton PIDE in Option Pricing
7 Pages Posted: 12 May 2020 Last revised: 26 May 2020
Date Written: April 18, 2020
I present a complete numerical study of the implicit-explicit finite difference method used to solve partial integro-differential equations (PIDEs) arising in mathematical finance. The study considers the specific case of the Merton jump-diffusion model, which is used to compute prices of European call and put options. These PIDE prices are then compared with prices obtained by closed formula, Fourier inversion, and Monte Carlo methods.
Keywords: Merton model, option pricing, Lévy processes, finite difference method, PIDE
JEL Classification: C02, G10, G13
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