Term-Structure Models

A Graduate Course
2009
ISBN: 978-3-642-26915-8
Verlag: Springer

Buch, Englisch, 256 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 411 g

Reihe: Springer Finance

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.

Zielgruppe

Research

Autoren/Hrsg.

Filipovic, Damir

Fachgebiete

• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Wirtschaftswissenschaften Finanzsektor & Finanzdienstleistungen Finanzsektor & Finanzdienstleistungen: Allgemeines
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Finanz- und Versicherungsmathematik

Inhaltsverzeichnis

Interest Rates and Related Contracts.- Estimating the Term-Structure.- Arbitrage Theory.- Short-Rate Models.- Heath–Jarrow–Morton (HJM) Methodology.- Forward Measures.- Forwards and Futures.- Consistent Term-Structure Parametrizations.- Affine Processes.- Market Models.- Default Risk.

Über Autor(innen)

Damir Filipovic is head of the Vienna Institute of Finance, a research institution in the field of Mathematical Finance, funded by the Vienna Science and Technology Fund (WWTF), and founded and co-funded by the University of Vienna and the Vienna University of Economics and Business Administration. Prior to this position he held the Chair of Financial and Insurance Mathematics at the University of Munich, and he was Assistant Professor at Princeton University. Moreover, he worked for the Swiss Federal Office of Private Insurance, where he co-developed the Swiss Solvency Test (SST) – a risk based solvency assessment for insurance undertakings – which was enacted in 2006. He also held visiting positions at ETH Zurich, Columbia University, Stanford University, and the Vienna University of Technology.