Computational Methods in Finance

Helping readers accurately price a vast array of derivatives, this self-contained text explains how to solve complex functional equations through numerical methods. It addresses key computational methods in finance, including transform techniques, the finite difference method, and Monte Carlo simulation. Developed from the author's courses at Columbia University and the Courant Institute of New York University, the book also covers model calibration and optimization and describes techniques, such as Kalman and particle filters, for parameter estimation.