This text addresses a variety of numerical methods for pricing derivative contracts, including Fourier techniques, finite differences, numerical simulation, and Monte Carlo simulation methods—one of the first books to cover all of these techniques. After presenting the basics of pricing techniques, it covers key concepts of calibration and parameter estimation. Written by a popular professor at Columbia University and NYU’s Courant Institute, the book is suitable for any graduate course on computational finance in financial engineering and financial mathematics programs as well as for practitioners interested in computational methods in finance.
Pricing Derivatives via Fourier Techniques. Introduction to Finite Differences. Derivative Pricing via Numerical Solutions of PDEs/PIDEs. Monte Carlo Simulation. Calibration. Parameter Estimation.