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  • The Volatility Surface: A Practitioner's Guide (Wiley Finance)

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The Volatility Surface: A Practitioner's Guide (Wiley Finance)

4.4 out of 5 stars (64)

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Praise for The Volatility Surface


"I'm thrilled by the appearance of Jim Gatheral's new book The Volatility Surface. The literature on stochastic volatility is vast, but difficult to penetrate and use. Gatheral's book, by contrast, is accessible and practical. It successfully charts a middle ground between specific examples and general models--achieving remarkable clarity without giving up sophistication, depth, or breadth."
--Robert V. Kohn, Professor of Mathematics and Chair, Mathematical Finance Committee, Courant Institute of Mathematical Sciences, New York University

"Concise yet comprehensive, equally attentive to both theory and phenomena, this book provides an unsurpassed account of the peculiarities of the implied volatility surface, its consequences for pricing and hedging, and the theories that struggle to explain it."
--Emanuel Derman, author of My Life as a Quant

"Jim Gatheral is the wiliest practitioner in the business. This very fine book is an outgrowth of the lecture notes prepared for one of the most popular classes at NYU's esteemed Courant Institute. The topics covered are at the forefront of research in mathematical finance and the author's treatment of them is simply the best available in this form."
--Peter Carr, PhD, head of Quantitative Financial Research, Bloomberg LP Director of the Masters Program in Mathematical Finance, New York University

"Jim Gatheral is an acknowledged master of advanced modeling for derivatives. In The Volatility Surface he reveals the secrets of dealing with the most important but most elusive of financial quantities, volatility."
--Paul Wilmott, author and mathematician

"As a teacher in the field of mathematical finance, I welcome Jim Gatheral's book as a significant development. Written by a Wall Street practitioner with extensive market and teaching experience, The Volatility Surface gives students access to a level of knowledge on derivatives which was not previously available. I strongly recommend it."
--Marco Avellaneda, Director, Division of Mathematical Finance Courant Institute, New York University

"Jim Gatheral could not have written a better book."
--Bruno Dupire, winner of the 2006 Wilmott Cutting Edge Research Award Quantitative Research, Bloomberg LP
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Editorial Reviews

Review

“…I do recommend this book…” (Zentralblatt MATH , Vol. 1118 2007/20)

From the Inside Flap

Understanding the volatility surface is a key objective for both practitioners and academics in the field of finance. Implied volatilities evolve randomly and so models of the volatility surface which is formed from implied volatilities of all strikes and expirations need to explicitly reflect this randomness in order to accurately price, trade, and manage the risk of derivative products.

Author and financial professional Jim Gatheral is intimately familiar with these issues and, in The Volatility Surface, he shares his many years of knowledge and experience to help make sense of it all. Written by a practitionerfor practitioners, The Volatility Surface examines why options are priced as they are and starting from a powerful representation of implied volatility in terms of a weighted average ofrealized volatilities explores the implications of various popular models for pricing.

The first half of this book focuses on setting up the theoretical framework, while the later chapters are oriented towards practical applications. Informative and accessible, The Volatility Surface:

  • Contains a detailed derivation of the Heston model and explanations of many other popular models such as SVJ, SVJJ, SABR, and CreditGrades
  • Discusses the characteristics of various types of exotic options from the humble barrier option to the super exotic Napoleon
  • Exhaustively covers volatility derivatives with elegant and robust presentations of the latest research
  • Examines performance of exotic cliquet contracts through in-depth case studies of actual bonds that have already matured

The purpose of The Volatility Surface is not to just present results, but to provide you with ways of thinking about and solving practical problems that should have many other areas of application. So by the time you finish reading this guide, you'll have a firm understanding of volatility surface modeling as well as a better idea of how you can apply the results of these models to real-world situations.

Filled with in-depth insights, expert advice, and real-world examples, The Volatility Surface will get you up to speed on the latest theories underlying options pricing as well as familiarize you with the history and practice of trading in the equity derivatives markets.

Product details

  • Publisher ‏ : ‎ Wiley
  • Publication date ‏ : ‎ September 11, 2006
  • Edition ‏ : ‎ 1st
  • Language ‏ : ‎ English
  • Print length ‏ : ‎ 208 pages
  • ISBN-10 ‏ : ‎ 0471792519
  • ISBN-13 ‏ : ‎ 978-0471792512
  • Item Weight ‏ : ‎ 2.31 pounds
  • Dimensions ‏ : ‎ 5.91 x 0.87 x 9.06 inches
  • Best Sellers Rank: #470,187 in Books (See Top 100 in Books)
  • Customer Reviews:
    4.4 out of 5 stars (64)

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Jim Gatheral
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Customer reviews

4.4 out of 5 stars
64 global ratings

Top reviews from the United States

  • 5 out of 5 stars
    Insightful guide to volatility modeling
    Reviewed in the United States on November 22, 2013
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    Jim Gatheral's book offers an expertly presented practitioner's perspective on modeling implied option volatility in the context of equity derivatives. The author, a leading expert and practitioner in the area, introduces the reader to the industry standard models (Heston, SVI, SABR), and shows how to make the complex math of these models work on trading desks.

    The book dispenses with the technical niceties that go with advanced theory of stochastic processes, and instead focuses on the meat of the problem. That allows the author to tell the story on 180 pages, each of which is packed with information and insight.

    5 people found this helpful
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  • 5 out of 5 stars
    everything is fine
    Reviewed in the United States on October 24, 2025
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    Pretty fast delivery. product as described.

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  • 4 out of 5 stars
    Small but powerful
    Reviewed in the United States on January 18, 2011
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    This book of only about 160 pages packs a lot of punch. If you need to get to know anything about the volatility surface, this book will be of use. There are no elaborate derivations of formulae but everything needed is given. As a quant with many years of experience, Gatheral helped me in understanding the nitty gritty and nuances of volatility surfaces much better than before. He covers mostly everything from implied vol to local vol surfaces. It was very useful in my endeavours with variance swaps and generating volatility surfaces from traded data.

    4 people found this helpful
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  • 5 out of 5 stars
    The BEST!
    Reviewed in the United States on October 28, 2017
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    I am taking Prof. Gatheral's class. He is the best instructor I have ever studied with. Without any doubt, he is very professional in volatility modeling. This book is very concise with many practitioner's views which you might not see in the academia. He also keeps updating his lecture notes with cutting-edge research so I hope someday he would publish a second edition.

    F.C, New York

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  • 5 out of 5 stars
    All you ever wanted to know about the vol surface and more
    Reviewed in the United States on December 24, 2018
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    Text is classic and I would do a disservice to review it. There are no exercises which I found a bit disappointing.

    The book arrived in excellent condition and had no damage.

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  • 5 out of 5 stars
    great
    Reviewed in the United States on April 15, 2015
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    Superb. Great teaching of a non-trivial subject.

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  • 5 out of 5 stars
    Option Pricing for the 21st Century
    Reviewed in the United States on October 26, 2006
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    The Volatility Surface is an-ultra modern account of derivatives pricing and hedging. Indeed of the fifty-two bibliographical references a mere twenty were written before 1999. The book makes the case for option pricing models which incorporate randomness into stock price volatility (stochastic volatility) and jumps into stock price movements. By themselves these are not new models, but a coherent understanding of their relationship to the dynamics of the volatility surface and to derivatives valuation is new, and Gatheral does an admirable job of presenting a great deal of the most modern work in this area - including some of his own - in one place.

    The topic is necessarily mathematical in nature and Gatheral spares the reader nothing of the full-on mathematical treatment; but he nevertheless manages to distill the essence of the most important mathematics into easily accessible, intuitive explanations that supplement the readers understanding. Thus this book should have broad appeal to practitioners of all levels, especially traders and those familiar with the basics of derivatives valuation. Gatheral succeeds in this vein so well, I believe, because he is a first-rate quant and a a long-time senior quant at Merril Lynch.

    The book gives an excellent treatment of the relationship between stock price dynamics which actually explain option prices observed in the market and the necessity of studying the volatility surface to have a complete understanding of derivatives valuation. He does a great job of justifying the key models he reviews and then studies the implications for derivatives valuation.

    As an expert practitioner, his choices reflect what is really out there in the market, so readers should pay attention. As a first rate quant, his mathematics and his grasp of the literature on option pricing will expose readers to the best of the best.

    Of particular note is his last chapter on volatility instruments, in particular variance swaps, volatility swaps and options on volatility. This is an important market that was just getting started in the late 1990s but has burgeoned into one of the most active and important markets in equity derivatives. This chapter is a must for anyone interested in understanding the subtelties involved in understanding variance swap and volatility swap valuation, and is alone worth the cover price.

    53 people found this helpful
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  • 3 out of 5 stars
    This book contains a lot of errors. Even after ...
    Reviewed in the United States on December 23, 2014
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    This book contains a lot of errors. Even after reviewing errata, I have still found errors in taking differentials which made me loose a lot of time trying to figure out the correct formulation. I literally had to drive the formula on myself. I checked with the original papers sometimes. I wish writers pay more attention to what they write when they publish a book.

    21 people found this helpful
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Top reviews from other countries

  • 3 out of 5 stars
    Perhaps a good book.
    Reviewed in Australia on January 16, 2021
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    I dont think a 3-star rating is fair for this book, however from my junior quant perspective, it was just very hard to read. The book contains a highly technical set of formulas after formulas. It is a challenge following what’s going on and the intuition behind the models. You also must possess superb calculus skill to fully appreciate those derivations.

    In general, perhaps a different class of practioners or PhD in math would find more values in this book. I was just curious about volality surface/smile so I bought the book but my knowledge was certainly not sufficient to grab the ideas.

    The book is also a bit dry with a lack of visualisation.

    Try it, your level might be way above mine so there might be some good values.

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  • 4 out of 5 stars
    Super technical book
    Reviewed in Italy on April 15, 2022
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    Too much math and difficult turn it in investing advice

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  • 5 out of 5 stars
    The book to read to understand the vol surface
    Reviewed in France on February 27, 2012
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    This is a practical book on the volatility surface. It starts with local volatility derivation (with some typos/small errors), expands on heston and then heston with jumps. It presents the author's SVI parameterization, a now relatively popular way to parameterize the implied vol surface.

    The last chapters about various volatility derivatives present well why a good vol modeling is important, even if in the case of vol swaps, I would have liked more models (it just presents heston and some extremely simple lognormal approximation (a curiosity really)).

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  • 5 out of 5 stars
    A good book, were it not for one detail
    Reviewed in Canada on October 12, 2020
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    This is a magnificient book on the volatility surface, which contains material not covered by other books such as the volatility smile. It goes right in the heart of the matter.

    I just cut the page with NN Taleb's foreword, which needlessly encumbers this otherwise great volume.

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  • 4 out of 5 stars
    Good overview
    Reviewed in the United Kingdom on February 4, 2018
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    This is an overview of stochastic volatility models keeping a good valance between mathematical rigorousness and simplicity. Though examples in the book are equity derivatives, it will be useful for practitioners in other asset classes.

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