Foreign Exchange Option Pricing: A Practitioner's Guide (The Wiley Finance Series) (英語) ハードカバー – 2011/1/18
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This book covers foreign exchange options from the point of view of the finance practitioner. It contains everything a quant or trader working in a bank or hedge fund would need to know about the mathematics of foreign exchange—not just the theoretical mathematics covered in other books but also comprehensive coverage of implementation, pricing and calibration.
With content developed with input from traders and with examples using real-world data, this book introduces many of the more commonly requested products from FX options trading desks, together with the models that capture the risk characteristics necessary to price these products accurately. Crucially, this book describes the numerical methods required for calibration of these models – an area often neglected in the literature, which is nevertheless of paramount importance in practice. Thorough treatment is given in one unified text to the following features:
- Correct market conventions for FX volatility surface construction
- Adjustment for settlement and delayed delivery of options
- Pricing of vanillas and barrier options under the volatility smile
- Barrier bending for limiting barrier discontinuity risk near expiry
- Industry strength partial differential equations in one and several spatial variables using finite differences on nonuniform grids
- Fourier transform methods for pricing European options using characteristic functions
- Stochastic and local volatility models, and a mixed stochastic/local volatility model
- Three-factor long-dated FX model
- Numerical calibration techniques for all the models in this work
- The augmented state variable approach for pricing strongly path-dependent options using either partial differential equations or Monte Carlo simulation
Connecting mathematically rigorous theory with practice, this is the essential guide to foreign exchange options in the context of the real financial marketplace.
Dr Iain J. Clark, (London, UK), is Head of Foreign Exchange Quantitative Analysis at Dresdner Kleinwort in London, where he set up and runs the team responsible for developing pricing libraries for the front office. Previously, he was Director of the Quantitative Research Group in Lehman Brothers, Fixed Income Quantitative Analyst at BNP Paribas and has also worked in FX Commodities Derivatives research at JP Morgan. He holds an MSc in Mathematics from the University of Edinburgh, and a PhD in Applied Mathematics from the University of Queensland, Australia. Dr Clark is a regular speaker at key finance events, and has presented at London Imperial College, The Bachelier Society Annual Conference, London Imperial College, world business Strategies annual Conference, Risk events, Marcus Evans events and many more.
Thoughtful, clear and rigorous, this book offers an in depth, unified treatment of fx options pricing. It will be a great reference for a quant and also potential traders. Not only does ian bridge the gap about volatility surface, but how one applies these models to the fx. I would recommend having read a prior book in stochastic calculus prior to coming to this book....Although you don't really need an indepth knowledge about stochastic calculus prior to reading this book. Say, a book by ubbo wiersema brownian motion calculus should do the trick or perhaps even shreve (i've read ubbo's book completely and have only read about 7-8 chapters in shreve).
apart from that...a course in numerical linear algebra would also help. although most of the numerical stuff in this book is very self-contained. in short...buy it...The mathematical tootls you will learn from this book can very well be applied in other areas of options pricing.
Different delta conventions
Market strangles, and how to fit your interpolating function to the traded strikes
Realistic interpolations for volatility surface construction
Local volatility in FX
Local Stochastic Volatility Models
Longdated FX Options
Also covered are the different issues and approaches of implementing the models, like Monte Carlo and PDEs; and a good discussion of barrier bending and exotics.
The focus is on presenting the methods and formulas, not proving theorems; even so, traders should not treat it as only a formula depository, there's real depth behind it.
Highly recommended for anyone trading or modelling FX options.