Simulation Techniques in Financial Risk Management

Despite its title, this book is not about simulation techniques in financial risk management. It has a five-page description of value-at-risk. That's about all it has to say about risk management. The rest of the book is an intermediate-level discussion of Monte Carlo simulation with applications in financial engineering. Results are illustrated with S-Plus or Visual Basic code.

 

There are two threads running through the book. One develops the mathematics of Monte Carlo simulation, with topics such as standard error, random variate generation and variance reduction. The other is a discussion of options pricing theory, covering stochastic calculus, the Black-Scholes formula, exotic option pricing, interest rate option pricing and Bayesian inference.

Contents

Preface

1. Introduction

2. Brownian Motions and Itô's Rule

3. Black-Scholes Model and Option Pricing

4. Generating Random Variables

5. Standard Simulations in Risk Management

6. Variance Reduction Techniques

7. Path-Dependent Options

8. Multi-asset Options

9. Interest Rate Models

10. Markov Chain Monte Carlo Methods

Answers to Selected Exercises

If you are thinking that 220 pages are not enough to do all this justice as well as provide S-Plus or Visual Basic code, you are right. Discussions are cryptic. Someone who doesn't already have considerable theoretical knowledge of Monte Carlo simulation and/or options pricing theory will be lost. Use this book as a supplementary text only. The exercises are nice, and are generally worth working through. Some solutions are provided at the end of the book. [November 4, 2006]

 

For related books, see sections:

Mathematics - Monte Carlo Method

Financial Engineering - Numerical Methods

Financial Engineering - Programming

Financial Engineering - Intermediate Theory

Financial Engineering - Advanced Theory

 

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