Table of Contents

Basic Definitions and No Arbitrage.- Definitions and Notation.- No-Arbitrage Pricing and Numeraire Change.- From Short Rate Models to HJM.- One-factor short-rate models.- Two-Factor Short-Rate Models.- The Heath-Jarrow-Morton (HJM) Framework.- Market Models.- The LIBOR and Swap Market Models (LFM and LSM).- Cases of Calibration of the LIBOR Market Model.- Monte Carlo Tests for LFM Analytical Approximations.- The Volatility Smile.- Including the Smile in the LFM.- Local-Volatility Models.- Stochastic-Volatility Models.- Uncertain-Parameter Models.- Examples of Market Payoffs.- Pricing Derivatives on a Single Interest-Rate Curve.- Pricing Derivatives on Two Interest-Rate Curves.- Inflation.- Pricing of Inflation-Indexed Derivatives.- Inflation-Indexed Swaps.- Inflation-Indexed Caplets/Floorlets.- Calibration to market data.- Introducing Stochastic Volatility.- Pricing Hybrids with an Inflation Component.- Credit.- and Pricing under Counterparty Risk.- Intensity Models.- CDS Options Market Models.

Reviews

From the reviews: SHORT BOOK REVIEWS "The text is no doubt my favorite on the subject of interest rate modeling. It perfectly combines mathematical depth, historical perspective and practical relevance. The fact that the authors combine a strong mathematical (finance) background with expert practice knowledge (they both work in a bank) contributes hugely to its format. I also admire the style of writing: at the same time concise and pedagogically fresh. The authors’ applied background allows for numerous comments on why certain models have (or have not) made it in practice. The theory is interwoven with detailed numerical examples…For those who have a sufficiently strong mathematical background, this book is a must." From the reviews of the second edition: "The book ‘Interest Rate Models – Theory and Practice’ provides a wide overview of interest rate modeling in mathematical depth. … The authors found a good approach to present a mathematically demanding area in a very clear, understandable way. The book will most likely become … one of the standard references in the area. … if one were to buy only one book about interest rate models, this would be it." (David Skovmand and Michael Verhofen, Financial Markets and Portfolio Management, Vol. 21 (1), 2007) "This is the book on interest rate models and should proudly stand on the bookshelf of every quantitative finance practitioner and student involved with interest rate models. If you are looking for one reference on interest rate models then look no further as this text will provide you with excellent knowledge in theory and practice. … is simply a must for all. Especially, I would recommend this to students … . Overall, this is by far the best interest rate models book in the market." (Ita Cirovic Donev, MathDL, May, 2007) "This is a very detailed course on interest rate models. Its main goal is to construct some kind of bridge between theoryand practice in this field. From one side, the authors would like to help quantitative analysts and advanced traders handle interest-rate derivatives with a sound theoretical apparatus. … Advanced undergraduate students, graduate students and researchers should benefit from reading this book and seeing how some sophisticated mathematics can be used in concrete financial problems." (Yuliya S. Mishura, Zentralblatt MATH, Vol. 1109 (11), 2007)