Term-Structure Models
A Graduate Course
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Beschreibung
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.
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.
First graduate textbook that covers topics ranging from fixed-income market conventions, the estimation and statistics (PCA) of the yield curve, arbitrage theory, short-rate models, the Heath-Jarrow-Morton methodology (including a derivation of Fubini’s Theorem for stochastic integrals), LIBOR market models, credit-risk, and the special chapters on consistent term structure parameterizations and affine processes All chapters end with a set of exercises, which provides the source for homework and exam questions
Autor*in
Damir Filipovic
Themen in »Term-Structure Models«
Black-Scholes Cox-Ingersoll-Ross model JEL Martingale Probability theory affine process arbitrage theory calculus credit risk diffusion process financial engineering interest rates statistics term-structure model quantitative finance