A Jump-Diffusion Model for Option Pricing
Management Science
A penalty method for American options with jump diffusion processes
Numerische Mathematik
Option Pricing Under a Double Exponential Jump Diffusion Model
Management Science
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We develop an efficient method for pricing American options for jump diffusion models. The price function is approximated by a sequence of functions, each of which is the solution of an optimal stopping problem for diffusion. The convergence of this sequence is uniform and exponentially fast. We present the numerical performance of our algorithm and compare it with the performance of other methods in the literature.