Gilli M., Maringer D., Schumann E. Numerical Methods and Optimization in Finance

New York: Academic Press, 2011. - 588 p.This book describes computational finance tools. It covers fundamental numerical analysis and computational techniques, such as option pricing, and gives special attention to simulation and optimization. Many chapters are organized as case studies around portfolio insurance and risk estimation problems. In particular, several chapters explain optimization heuristics and how to use them for portfolio selection and in calibration of estimation and option pricing models. Such practical examples allow readers to learn the steps for solving specific problems and apply these steps to others. At the same time, the applications are relevant enough to make the book a useful reference. MatLAB and R sample code is provided in the text and can be downloaded from the book’s website.
Shows ways to build and implement tools that help test ideas. Focuses on the application of heuristics; standard methods receive limited attentionPresents as separate chapters problems from portfolio optimization, estimation of econometric models, and calibration of option pricing models