ABSTRACT

Developed from the author's course on Monte Carlo simulation at Brown University, this text provides a self-contained introduction to Monte Carlo methods in financial engineering. It covers common variance reduction techniques, the cross-entropy method, and the simulation of diffusion process models. Requiring minimal background in mathematics and finance, the book includes numerous examples of option pricing, risk analysis, and sensitivity analysis as well as many hand-and-paper and MATLAB coding exercises at the end of every chapter.

chapter Chapter 1|30 pages

Review of Probability

chapter Chapter 2|20 pages

Brownian Motion

chapter Chapter 3|16 pages

Arbitrage Free Pricing

chapter Chapter 4|20 pages

Monte Carlo Simulation

chapter Chapter 5|16 pages

Generating Random Variables

chapter Chapter 6|29 pages

Variance Reduction Techniques

chapter Chapter 7|49 pages

Importance Sampling

chapter Chapter 8|22 pages

Stochastic Calculus

chapter Chapter 9|32 pages

Simulation of Diffusions

chapter Chapter 10|20 pages

Sensitivity Analysis