Term-Structure Models: A Graduate Course (Springer Finance) - Hardcover

Filipovic, Damir

Hardcover

ISBN 10: 3540097260 ISBN 13: 9783540097266

Publisher: Springer, 2009

Synopsis

Changing interest rates constitute one of the major risk sources for banks, insurance companies, and other financial institutions. Modeling the term-structure movements of interest rates is a challenging task. This volume gives an introduction to the mathematics of term-structure models in continuous time. It includes practical aspects for fixed-income markets such as day-count conventions, duration of coupon-paying bonds and yield curve construction; arbitrage theory; short-rate models; the Heath-Jarrow-Morton methodology; consistent term-structure parametrizations; affine diffusion processes and option pricing with Fourier transform; LIBOR market models; and credit risk.

The focus is on a mathematically straightforward but rigorous development of the theory. Students, researchers and practitioners will find this volume very useful. Each chapter ends with a set of exercises, that provides source for homework and exam questions. Readers are expected to be familiar with elementary Itô calculus, basic probability theory, and real and complex analysis.

About this title

Review

From the reviews:

“Term-Structure Models is a theoretical text suitable for a graduate students and practitioners ... . Theoretical exercises are provided at the end of each chapter. ... written in a theorem-proof style; it is structured very well. The writing is clear and to the point. I would recommend this book as a graduate level text on term-structure models, as well as a reference for anyone dealing with or interested in term-structure models.” (Ita Cirovic Donev, The Mathematical Association of America, February, 2010)

“This text by one of the leading authorities on term-structure and interest-rate models is useful for one semester graduate or advanced honors courses. Alternatively researchers in the field of mathematical finance, who wish to have a rather short reference text, may find this book appealing. The author comes straight to the point, without confusing the reader with to much material that is not directly related to the development of the theory. ... Each chapter also contains a significant number of well chosen exercises.” (Christian-Oliver Ewald, Zentralblatt MATH, Vol. 1184, 2010)

Synopsis

This volume provides an introduction to the mathematics of term structure models in continuous time. Topics include: practical matters for fixed-income markets such as day-count conventions, duration of coupon-paying bonds and yield curve construction; arbitrage theory; short-rate models; the Heath-Jarrow-Morton methodology (including a derivation of Fubini's Theorem for stochastic integrals); consistent term structure parameterizations; affine processes and characteristic functions; LIBOR market models; and, credit risk. The focus is on a mathematically straightforward but rigorous development of the theory. The volume addresses students, researchers and practitioners who are interested in the mathematics of term structure modeling. Prerequisites are: elementary Ito calculus, basic probability theory and real analysis. All chapters end with a set of exercises, which provides the source for homework and exam questions.

Edition details

• Publisher: Springer
• Publication date: 2009
• ISBN 10: 3540097260
• ISBN 13: 9783540097266
• Binding: Hardcover
• Language: English
• Number of pages: 268