Derivatives and Internal Models

This book provides a thorough introduction to pricing and risk management of modern financial instruments formulated in precise mathematical language, covering all relevant topics with such a depth of detail that readers are enabled to literally develop their own pricing and risk tools. There is also an accompanying website with hundreds of real world examples.

Now in its fourth edition, this classic book provides a comprehensive and thorough introduction to derivative pricing, risk management and portfolio optimization, covering all relevant topics with enough hands-on, depth of detail to enable readers to develop their own pricing and risk tools.

In this book, Dr. Hans-Peter Deutsch provides insight into modern market risk quantification methods such as variance-covariance, historical simulation, Monte Carlo, hedge ratios, etc., including time series analysis and statistical concepts such as GARCH Models or Chi-Square-distributions.

He also shows how optimal trading decisions can be deduced once risk has been quantified by introducing risk adjusted performance measures and a complete presentation of modern quantitative portfolio optimization. Furthermore, all the important modern derivatives and their pricing methods are presented; from basic discounted cash flow methods to Black-Scholes, binomial trees, differential equations, finite difference schemes, Monte Carlo methods, Martingales and Numeraires, terms structure models, etc.

All these methods are explained with adequate mathematical rigor and in great detail both in theory and with the help of hundreds of spreadsheet examples using one consistent logical approach and notation. This book should enable any bank to create and implement its own so-called “internal” risk models.

The new edition is completely updated. Formulations have been streamlined to make the topics even more accessible and the explanations even more understandable.