ABSTRACT

Containing many results that are new, or which exist only in recent research articles, this thoroughly revised third edition of Interest Rate Modeling: Theory and Practice, Third Edition portrays the theory of interest rate modeling as a three-dimensional object of finance, mathematics, and computation. It introduces all models with financial-economical justifications, develops options along the martingale approach, and handles option evaluations with precise numerical methods.

Features

  • Presents a complete cycle of model construction and applications, showing readers how to build and use models
  • Provides a systematic treatment of intriguing industrial issues, such as volatility smiles and correlation adjustments
  • Contains exercise sets and a number of examples, with many based on real market data
  • Includes comments on cutting-edge research, such as volatility-smile, positive interest-rate models, and convexity adjustment

 New to the Third edition

  •  Introduction of Fed fund market and Fed fund futures
  • Replacement of the forward-looking USD LIBOR by the backward-looking SOFR term rates in the market model, and the deletion of dual-curve market model developed especially for the post-crisis derivatives markets
  • New chapters on LIBOR Transition and SOFR Derivatives Markets

chapter Chapter 1|22 pages

The Basics of Stochastic Calculus

chapter Chapter 2|24 pages

The Martingale Representation Theorem

chapter Chapter 3|34 pages

U.S. Fixed-Income Markets

chapter Chapter 4|18 pages

LIBOR Transition and SOFR Derivatives Markets

chapter Chapter 5|22 pages

Forward Measures and the Black Formula

chapter Chapter 6|39 pages

The Heath-Jarrow-Morton Model

chapter Chapter 7|30 pages

Short-Rate Models and Lattice Implementation

chapter Chapter 8|30 pages

Affine Term Structure Models

chapter Chapter 9|24 pages

Market Model for SOFR Derivatives

chapter Chapter 10|13 pages

Convexity Adjustments

chapter Chapter 11|42 pages

Market Models with Stochastic Volatilities

chapter Chapter 12|27 pages

Lévy Market Model

chapter Chapter 13|19 pages

Market Model for Inflation Derivatives

chapter Chapter 14|28 pages

Market Model for Credit Derivatives

chapter Chapter 15|22 pages

xVA: Definition, Evaluation, and Risk Management