Discrete-time bond and option pricing for jump-diffusion processes

This paper provides a methodology for numerically pricing generalized interest rate contingent claims for jump-diffusion processes. The method enhances the standard finite-differencing approach to deal with partial differential-difference equations derived in a jump-diffusion setting. Numerical illustrations compare jump-diffusion and pure-diffusion models.I am especially grateful to Darrell Duffie, who provided me immensely valuable input on the paper. I would also like to thank Dilip Madan and Rangarajan Sundaram for alleviating my confusion with helpful comments.