Advanced Derivatives Pricing
and Risk Management

In a crowded field of books on financial engineering, this one determinedly charts its own course. There is nothing out there that is quite like it. The book arose out of the authors' teaching experience. Their philosophy is that financial engineering should be taught in a course with hands-on projects. Stochastic calculus and other math theory should be left for courses that can be taken by the students in parallel with the main course. This book developed from the authors' teaching of such a main course.

I think the best way to describe the result is by analogy to physics and engineering texts. To the uninitiated, it would seem that physics and engineering texts would be quite similar. They are not! Physicists are interested in theory, and engineers are interested in practice. To your typical physicist, an engineering text is a crude amalgam of results with little attempt to tie them together into an elegant theory. Derivations, explanations and even assumptions are glossed over in favor of formulas engineers can plug numbers into. To the typical engineer, a physics book is theory without any application. It never tells you how to build a bridge or design an electrical system!

Now that I have clarified the distinction, I can say that most financial engineering texts are like physics texts. This one is like an engineering text. 

The book assumes some familiarity with financial engineering and stochastic calculus. If you have read Hull (2005) or some similar introduction, you should be fine. It is broken into two parts. The first comprises two thirds of the book and covers theory. The second completes the book with sixteen programming projects the reader can complete on his own. There is an accompanying disk with data and some software add-ins. The projects are designed to be implemented in Excel with VBA.

Contents

I. Pricing Theory and Risk Management

1. Pricing Theory

2. Fixed Income Instruments

3. Advanced Topics in Pricing Theory: Exotic Options and State Dependent Models

4. Numerical Methods for Value-at-Risk

II. Numerical Projects in Pricing and Risk Management

5. Project: Arbitrage Theory

6. Project: The Black-Scholes (Lognormal) Model

7. Project: Quantile-quantile plots

8. Project: Monte Carlo Pricer

9. Project: The Binomial Lattice Model

10. Project: The Trinomial Lattice Model

11. Project: Crank-Nicolson option pricer

12. Project: Static Hedging of Barrier Options

13. Project: Variance Swaps

14. Project: Monte Carlo VaR for Delta-Gamma Portfolios

15. Project: Covariance estimation and scenario generation in VaR

16. Project: Interest Rate Trees: Calibration and Pricing

The writing  in the book's first half is what you would expect from an advanced engineering text. It is painfully cryptic and emphasizes results over theory. It invokes plenty of advanced math, but you don't really need to understand it. All you need are the results, and if you have an engineer's mentality, you will be fine with that. A lot of the results are quite sophisticated, and the treatment is very modern—fundamental theorem of asset pricing stuff instead of partial differential equations. But results aren't tied together into any sort of unifying whole. This isn't the sort of book you will enjoy reading from cover to cover, but it is useful for making you aware of some sophisticated concepts.

There are four chapters in this first part of the book, and they are each quite long. They are poorly organized and sort of meander through topics. Several times, the authors will invoke a concept and assure you they will explain it later.

The four chapters cover:

basic pricing theory

fixed income pricing theory

advanced pricing theory

financial risk management.

The projects in the last third of the book touch on a variety of theoretical and practical topics in financial engineering and risk management. The goal is to get readers to actually develop software as they might on the job. The projects are an integral part of the book. Indeed, readers may want to read the book by performing the projects one by one and only referring to the first part of the book on an as-needed basis.

The appeal of this book is the fact that it really gets readers coding applications, which is something most financial engineering texts fail to do. If you take this book on, I think you will be amply rewarded for the effort. You will probably want to supplement with a couple good theoretical financial engineering texts. A copy of Jackson and Staunton (2001) will also help with the projects. [10/16/05]

For related books, see sections:

Markets - Derivatives

Financial Engineering - Basic Theory

Financial Engineering - Numerical Methods

Mathematics - Financial Programming

Mathematics - Financial Math

Mathematics - Stochastic Calculus

 

 

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