Interest Rate Models - Theory and Practice

This book explains how Interest-rate models work and shows how to implement them for concrete pricing. The revised 2nd edition of this book incorporates considerable new material, including sections on local-volatility dynamics, and on stochastic volatility models.

When implementing mathematical models for pricing interest rate derivatives one must address a number of practical issues such as the choice of a satisfactory model, the calibration to market data, the implementation of efficient routines, and so on. This book explains how models work and how to implement them for concrete pricing.

The 2nd edition of this successful book has several new features. The calibration discussion of the basic LIBOR market model has been enriched considerably, a discussion of historical estimation of the instantaneous correlation matrix and of rank reduction has been added, and a LIBOR-model consistent swaption-volatility interpolation technique has been introduced.

The old sections devoted to the smile issue in the LIBOR market model have been enlarged into a new chapter. New sections on local-volatility dynamics, and on stochastic volatility models have been added, with a thorough treatment of the recently developed uncertain-volatility approach.

The fast-growing interest for hybrid products has led to a new chapter, with a special focus devoted to the pricing of convertible bonds and inflation-linked derivatives.

Authors work as Head of Credit Models and Head of Financial Models at an Italian bank, this first-hand contact with trading gives them a practical insights on the subject Accessible overview of interest rate models, book brings the practitioner's viewpoint together with the theoretical viewpoint In contrast to other academic books on interest rate modelling which deal with HJM formulation, there is a lot of emphasis here on LIBOR and Swap market models, which reflects the current market practice Contains a lot of numerical examples and mathematics is kept to the necessary level while keeping the approach both rigorous and understandable New edition covers very hot topics of credit risk and stochastic volatility Includes supplementary material: sn.pub/extras

Inhalt
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.