Term-Structure Models [electronic resource] : A Graduate Course / by Damir Filipovic.

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.

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.