Interest Rate Modelling In The Multi Curve Framework

Following the financial crisis dramatic market changes, a new standard in interest rate modelling emerged, called the multi-curve framework. The author provides a detailed analysis of the framework, through its foundations, evolution and implementation. The book also covers recent extensions to collateral and stochastic spreads modelling.

Filling a gap in the literature caused by the recent financial crisis, this book provides a treatment of the techniques needed to model and evaluate interest rate derivatives according to the new paradigm for fixed income markets. Concerning this new development, there presently exist only research articles and two books, one of them an edited volume, both being written by researchers working mainly in practice. The aim of this book is to concentrate primarily on the methodological side, thereby providing an overview of the state-of-the-art and also clarifying the link between the new models and the classical literature. The book is intended to serve as a guide for graduate students and researchers as well as practitioners interested in the paradigm change for fixed income markets. A basic knowledge of fixed income markets and related stochastic methodology is assumed as a prerequisite.

Following the financial crisis dramatic market changes, a new standard in interest rate modelling emerged, called the multi-curve framework. The author provides a detailed analysis of the framework, through its foundations, evolution and implementation. The book also covers recent extensions to collateral and stochastic spreads modelling.

Over the last 10 years, the multi-curve and collateral framework has become the standard for vanilla interest rate derivatives pricing. The static description of the framework, including the curve calibration, is well documented. When going to the dynamic behaviour of the framework, the modelling has not evolved as much and no approach to modelling the multi-curve framework is considered a standard. In this note, we propose an approach to multi-curve framework modelling. We call it hybrid approach as it is based on standard models for the discounting curve and an adjusted approach for IBOR curves which is design to have a natural control on the basis. We show that the approach can match simultaneously the main features of the option market and of historical data.

"The three volumes of Interest rate modeling are aimed primarily at practitioners working in the area of interest rate derivatives, but much of the material is quite general and, we believe, will also hold significant appeal to researchers working in other asset classes. Students and academics interested in financial engineering and applied work will find the material particularly useful for its description of real-life model usage and for its expansive discussion of model calibration, approximation theory, and numerical methods."--Preface.

In response to the financial crisis, a plethora of new research appeared which attempted to understand, incorporate, and delineate the most significant changes observed in the market. Editors Massimo Morini and Marco Bianchetti have both experienced first-hand how market patterns and consequently trading practices have evolved.For Interest Rate Modelling after the Financial Crisis, they have assembled a team of expert contributors who articulate and formalise the most important of these changes and the new methodologies which have accompanied them. Contributors include Fabio Mercurio, Akihiko Takahashi, Marc Henrard, and Messaoud Chibane. Their chapters analyse the latest developments in interest rate modelling, focusing particularly on derivatives markets, derivatives pricing, interest rate term structure and volatility modelling, and interest rate derivatives pricing models.Key chapters include:- Irony in Derivative Discounting: After the Crisis- Interest Rate Modelling under the Full Collateralization- Multi-Curve Low Dimensional Markovian Models in a HJM Framework- LIBOR Market Models with Stochastic BasisThis book is essential reading for quantitative analysts, risk managers and risk controllers, model validation groups, independent price verification groups, and all professionals interested in updating their understanding of the interest rate market after the crisis.

The 2nd edition of this successful book has several new features. The calibration discussion of the basic LIBOR market model has been enriched considerably, with an analysis of the impact of the swaptions interpolation technique and of the exogenous instantaneous correlation on the calibration outputs. 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. Examples of calibrations to real market data are now considered. The fast-growing interest for hybrid products has led to a new chapter. A special focus here is devoted to the pricing of inflation-linked derivatives. The three final new chapters of this second edition are devoted to credit. Since Credit Derivatives are increasingly fundamental, and since in the reduced-form modeling framework much of the technique involved is analogous to interest-rate modeling, Credit Derivatives -- mostly Credit Default Swaps (CDS), CDS Options and Constant Maturity CDS - are discussed, building on the basic short rate-models and market models introduced earlier for the default-free market. Counterparty risk in interest rate payoff valuation is also considered, motivated by the recent Basel II framework developments.

Modeling the Term Structure of Interest Rates provides a comprehensive review of the continuous-time modeling techniques of the term structure applicable to value and hedge default-free bonds and other interest rate derivatives.

Providing the most up-to-date tools and techniques for pricing interest rate and credit products for the new financial world, this book discusses pricing and hedging, funding and regulation, and interpretation, as an essential resource for quantitatively minded practitioners and researchers in finance.