A penalty method for American options with jump diffusion processes |
| |
Authors: | Email author" target="_blank">Y?d’HalluinEmail author PA?Forsyth G?Labahn |
| |
Institution: | (1) School of Computer Science, University of Waterloo, Waterloo ON, Canada, N2L 3G1J |
| |
Abstract: | Summary. The fair price for an American option where the underlying asset follows a jump diffusion process can be formulated as a partial integral differential linear complementarity problem. We develop an implicit discretization method for pricing such American options. The jump diffusion correlation integral term is computed using an iterative method coupled with an FFT while the American constraint is imposed by using a penalty method. We derive sufficient conditions for global convergence of the discrete penalized equations at each timestep. Finally, we present numerical tests which illustrate such convergence.Mathematics Subject Classification (1991): 65M12, 65M60, 91B28Correspondence to: P.A. Forsyth |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|