Continuous Time Approach to Financial Volatility
Cambridge University Press
Published on 1. June 2020
Book
Hardback
400 pages
978-0-521-83440-7 (ISBN)
Description
The idea of this book is to explain how Levy processes can be used to study some problems in finance. The necessary technology is motivated and justified in an opening chapter, and is then followed by chapters explaining the mathematics and computational aspects of the subject. The heart of the book describes applications, with further mathematical ideas introduced as and when needed. The authors cover new ideas not presented in book form before, blending theory and practice, and this account will be of value to all those working in mathematical finance, financial econometrics, probability and statistics.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
28 figures
ISBN-13
978-0-521-83440-7 (9780521834407)
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Schweitzer Classification
Persons
Ole Barndorff-Nielsen is a Professor at the Department of Mathematical Sciences, University of Aarhus. He also holds positions as Scientific Director of MaPhySto and Deputy Scientific Director of MCAA Neil Shephard is an Official Fellow in Economics, Nuffield College and Professor of Economics, University of Oxford
Content
1. Introduction; 2. Basics of Levy processes; 3. Stochastic volatility; 4. Time-change Levy process; 5. Parametric models of spot variance; 6. Leverage; 7. Simulation and inference for time-change and SV; 8. Realised multipower variation; 9. Mathematics of Levy based models; 10. Conclusions; Appendix A. Primer on stochastic analysis; Appendix B. Distributions; Appendix C. Collections of definitions and notation; Appendix D. Data; References; Index