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First graduate textbook to cover such a broad range of topics, and 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
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.
Content Level »Research
Keywords »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