The Volatility Surface: A Practitioner's Guide
John Wiley & Sons, 10.03.2011 - 208 Seiten
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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The Implied Volatility Surface
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Applying approximate argument assume assumptions atthemoney barrier barrier option BlackScholes bonds call option Chapter characteristic function cliquet close compute conditional consider continuous convexity adjustment coupon default defined definition density depends derivatives difference Differentiating discretization distribution dynamics empirical equation European option example expected expiration expression FIGURE final follows formula forward futures given gives graph hedge Heston model implied variance implied volatility implied volatility surface increases independent instantaneous variance integration interest inthe intuition jump jump diffusion limit local volatility lognormal mean Note numerical obtain ofthe option prices parameters path payoff performance portfolio practical probability realized represent respect result returns risk riskfree riskneutral short shows solid line solution spreads standard stochastic volatility models stock price strike struck structure Substituting suppose TABLE taking trading underlying valuation variance skew volatility skew volatility surface zero