Foreign Exchange Risk
Models, Instruments and Strategies

The literature on derivatives pricing has long been dominated by academics, but we are now starting to see full-length books written by practitioners. Examples are Brockhaus, et. al. (1999) and James and Weber (2000). To date, results have been outstanding. Practitioners write with the same technical sophistication as academics, but offer practical techniques and insights that could only be gleaned from working on a trading floor. The writing tends to be breezy and light; skips the basics and goes straight to results. For readers who are comfortable with the occasional stochastic integral, these practitioner books are a goldmine.

 

This edited collection on foreign exchange financial engineering fits the same mold. Editors Halaka and Wystup both work for Commerzbank. They have compiled 27 outstanding chapters by 23 authors. They have contributed significant content themselves and have done an excellent job promoting a uniform style of writing across all chapters. The book offers easy reading with results that flow one after another. Sources are cited or maybe a summary is given for how a proof might be written, and then it is off to another result or perhaps a discussion of how some instrument is really hedged.

The book is divided into three parts. The first contains 12 chapters with practical insights on techniques used day-to-day to manage an FX derivatives book. One chapter covers the impact of non-trading days on derivatives pricing. Another covers components of FX volatility—smile, skew, butterfly and reversal. There are chapters on pricing of first- and second-generation exotics, and an entire chapter focuses on quantos. Another chapter covers put-call parity and hedging of compound options. A chapter explains "forward" and "backward" partial differential equations. All are sophisticated and cutting-edge.

The second part has two chapters on using and calculating the Greeks for exotics. Much of the focus is on efficient computation based upon homogeneity and related techniques.

The third part contains chapters on advanced pricing models and computational techniques. There are chapters on finite differences, variance reduction, fast Fourier transforms, quasi-Monte Carlo methods and binomial trees. For the most part these assume basic familiarity and delve more deeply into the respective topics. Chapters on models cover such things as local volatility surfaces, jump-diffusion models, models for long-dated options and other instruments, Heston's volatility model, etc.

Contents

MARKET: PRODUCT AND BASICS

1. Vanilla Options

2. Volatility Management

3. Handling Differing Expiry and Delivery Dates

4. The Impact of Non-business Days on the Pricing of Options

5. Barrier Options - An Overview

6. The Pricing of First Generation Exotics

7. The Pricing of Second Generation Exotics

8. Quanto Options

9.No-Arbitrage Bounds and Static Hedging of Compound Options

10.Taking a Corporate View: Zero Cost Structures

11. Probability Density Functions and Related Tools

12. A Note on Forward and Backward Partial Differential Equations for Derivative Contracts with Forwards as Underlyings

RISK MANAGEMENT

13. Efficient Computation of Option Price Sensitivities Using Homogeneity and Other Tricks

14. How the Greeks Would Have Hedged Correlation Risk of Foreign Exchange Options

MODELS AND APPLICATIONS TO EXOTIC OPTIONS

15. An Arithmetic Average Model with Applications to Pricing Asian and Basket Options

16. Finite Differences

17. Monte Carlo Simulations and Variance Reduction Techniques

18. Quasi-Random Numbers and their Application to Pricing Basket and Lookback Options

19. Quasi-Monte Carlo Techniques for the Valuation of Contingent Claims on Several Assets

20. Binomial Trees in One and Two Dimensions

21. Fast Fourier Method for the Valuation of Options on Several Correlated Currencies

22. Local Volatility Surfaces - Tackling the Smile

23. Heston's Stochastic Volatility Model Applied to Foreign Exchange Options

24. Valuation of Options in Heston's Stochastic Volatility Model Using Finite Element Methods

25. A Jump Diffusion Model Applied to Foreign Exchange Markets

26. Exchange Options

27. Dealing with Dangerous Digitals

Who is this book for? First of all, it is essential reading for anyone who prices or trades FX derivatives. Second, it is essential reading for researchers. This one book, in a nutshell, defines the state of the art. For the same reason, I recommend it to financial engineers working in any of the capital markets. Finally, it will be valuable for students who understand the theory of financial engineering, but need to learn how it is used in practice.

 

 

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