Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives
1st Edition
Published on 23. November 2011
978-1-139-15323-2 (ISBN)
Description
Building upon the ideas introduced in their previous book, Derivatives in Financial Markets with Stochastic Volatility, the authors study the pricing and hedging of financial derivatives under stochastic volatility in equity, interest-rate, and credit markets. They present and analyze multiscale stochastic volatility models and asymptotic approximations. These can be used in equity markets, for instance, to link the prices of path-dependent exotic instruments to market implied volatilities. The methods are also used for interest rate and credit derivatives. Other applications considered include variance-reduction techniques, portfolio optimization, forward-looking estimation of CAPM 'beta', and the Heston model and generalizations of it. 'Off-the-shelf' formulas and calibration tools are provided to ease the transition for practitioners who adopt this new method. The attention to detail and explicit presentation make this also an excellent text for a graduate course in financial and applied mathematics.
More details
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; Printed music items; 25 Halftones, unspecified; 40 Line drawings, unspecified
File size
4,86 MB
ISBN-13
978-1-139-15323-2 (9781139153232)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Jean-Pierre Fouque | George Papanicolaou | Ronnie Sircar
Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives
Book
09/2011
Cambridge University Press
€94.70
Shipment within 15-20 days
Persons
Jean-Pierre Fouque studied at the University Pierre and Marie Curie in Paris. He held positions at the French CNRS and Ecole Polytechnique, and at North Carolina State University. Since 2006, he has been Professor and Director of the Center for Research in Financial Mathematics and Statistics at the University of California, Santa Barbara. George Papanicolaou was Professor of Mathematics at the Courant Institute before moving to Stanford University in 1993. He is now Robert Grimmett Professor in the Department of Mathematics at Stanford. Ronnie Sircar taught for three years at the University of Michigan in the Department of Mathematics before moving to Princeton University in 2000. He is now a Professor in the Operations Research and Financial Engineering Department at Princeton and an affiliate member of the Bendheim Center for Finance and the Program in Applied and Computational Mathematics. Knut Solna is a Professor in the Department of Mathematics at the University of California, Irvine. He received his undergraduate and Master's degrees from the Norwegian University of Science and Technology and his doctorate from Stanford University. He was an instructor at the Department of Mathematics, University of Utah before moving to Irvine.
Content
Introduction; 1. The Black-Scholes theory of derivative pricing; 2. Introduction to stochastic volatility models; 3. Volatility time scales; 4. First order perturbation theory; 5. Implied volatility formulas and calibration; 6. Application to exotic derivatives; 7. Application to American derivatives; 8. Hedging strategies; 9. Extensions; 10. Around the Heston model; 11. Other applications; 12. Interest rate models; 13. Credit risk I: structural models with stochastic volatility; 14. Credit risk II: multiscale intensity-based models; 15. Epilogue; Bibliography; Index.
