Download or read book Interest Rate Modeling written by Leif B. G. Andersen and published by . This book was released on 2010 with total page 1154 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Interest Rate Modeling written by Lixin Wu and published by CRC Press. This book was released on 2009-05-14 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing many results that are new or exist only in recent research articles, Interest Rate Modeling: Theory and Practice 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 app
Download or read book Modeling the Term Structure of Interest Rates written by Rajna Gibson and published by Now Publishers Inc. This book was released on 2010 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Elementary Introduction to Stochastic Interest Rate Modeling written by Nicolas Privault and published by World Scientific. This book was released on 2012 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest rate modeling and the pricing of related derivatives remain subjects of increasing importance in financial mathematics and risk management. This book provides an accessible introduction to these topics by a step-by-step presentation of concepts with a focus on explicit calculations. Each chapter is accompanied with exercises and their complete solutions, making the book suitable for advanced undergraduate and graduate level students. This second edition retains the main features of the first edition while incorporating a complete revision of the text as well as additional exercises with their solutions, and a new introductory chapter on credit risk. The stochastic interest rate models considered range from standard short rate to forward rate models, with a treatment of the pricing of related derivatives such as caps and swaptions under forward measures. Some more advanced topics including the BGM model and an approach to its calibration are also covered.
Download or read book Long term Interest Rate Modeling written by Anna Kalemanova and published by . This book was released on 2001 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Simple Model of the Long Term Interest Rate written by Akram Tanweer and published by . This book was released on 2020 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents a simple model of the long-term interest rate. The model represents John Maynard Keynes's conjecture that the central bank's actions influence the long-term interest rate primarily through the short-term interest rate, while allowing for other important factors. It relies on the geometric Brownian motion to formally model Keynes's conjecture. Geometric Brownian motion has been widely used in modeling interest rate dynamics in quantitative finance. However, it has not been used to represent Keynes's conjecture. Empirical studies in support of the Keynesian perspective and the stylized facts on the dynamics of the long-term interest rate on government bonds suggest that interest rate models based on Keynes's conjecture can be advantageous.
Download or read book Building and Using Dynamic Interest Rate Models written by Ken O. Kortanek and published by John Wiley & Sons. This book was released on 2001-11-28 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new approach to interest rate and modeling term structure by using models based on optimization of dynamical systems, rather than the traditional stochastic differential equation models. The authors use dynamic models to estimate the term structure of interest rates and show the reader how to build their own numerical simulations. It includes software that will enable readers to simulate the various models covered in the book.
Download or read book Stochastic Interest Rate Modeling With Fixed Income Derivative Pricing Third Edition written by Nicolas Privault and published by World Scientific. This book was released on 2021-09-02 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics of stochastic interest rate modeling and the pricing of related derivatives, based on a step-by-step presentation of concepts with a focus on explicit calculations. The types of interest rates considered range from short rates to forward rates such as LIBOR and swap rates, which are presented in the HJM and BGM frameworks. The pricing and hedging of interest rate and fixed income derivatives such as bond options, caps, and swaptions, are treated using forward measure techniques. An introduction to default bond pricing and an outlook on model calibration are also included as additional topics.This third edition represents a significant update on the second edition published by World Scientific in 2012. Most chapters have been reorganized and largely rewritten with additional details and supplementary solved exercises. New graphs and simulations based on market data have been included, together with the corresponding R codes.This new edition also contains 75 exercises and 4 problems with detailed solutions, making it suitable for advanced undergraduate and graduate level students.
Download or read book Interest Rate Models written by Andrew J. G. Cairns and published by Princeton University Press. This book was released on 2018-06-05 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of financial mathematics has developed tremendously over the past thirty years, and the underlying models that have taken shape in interest rate markets and bond markets, being much richer in structure than equity-derivative models, are particularly fascinating and complex. This book introduces the tools required for the arbitrage-free modelling of the dynamics of these markets. Andrew Cairns addresses not only seminal works but also modern developments. Refreshingly broad in scope, covering numerical methods, credit risk, and descriptive models, and with an approachable sequence of opening chapters, Interest Rate Models will make readers--be they graduate students, academics, or practitioners--confident enough to develop their own interest rate models or to price nonstandard derivatives using existing models. The mathematical chapters begin with the simple binomial model that introduces many core ideas. But the main chapters work their way systematically through all of the main developments in continuous-time interest rate modelling. The book describes fully the broad range of approaches to interest rate modelling: short-rate models, no-arbitrage models, the Heath-Jarrow-Morton framework, multifactor models, forward measures, positive-interest models, and market models. Later chapters cover some related topics, including numerical methods, credit risk, and model calibration. Significantly, the book develops the martingale approach to bond pricing in detail, concentrating on risk-neutral pricing, before later exploring recent advances in interest rate modelling where different pricing measures are important.
Download or read book Interest Rate Modeling Post Crisis Challenges and Approaches written by Zorana Grbac and published by Springer. This book was released on 2015-12-26 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Modeling Long term Government Bond Yields written by Paul Sundell and published by . This book was released on 1992 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Interest Rate Models Theory and Practice written by Damiano Brigo and published by Springer Science & Business Media. This book was released on 2007-09-26 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Towards the Next Revolution in Central Banking written by Burkhard Wehner and published by Springer Nature. This book was released on 2021-10-28 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book critically explores past and present principles of central banking, and outlines a new framework for future stabilization policy. Through compact and concise chapters, it demonstrates why a constant long-term interest rate would be the most beneficial target for monetary policy to follow. A novel set of policy tools and institutional arrangements suitable to reliably meet this target are developed. It is argued that the proposed framework would be clearly superior to conventional policies in preventing financial market crises, maintaining high employment, and keeping the economy at or near potential. The merits and shortcomings of alternative theories such as Modern Monetary Theory are also discussed. This book will be relevant to researchers and policymakers as well as professional investors, analysts, and commentators of financial markets and the economy at large.
Download or read book Estimating Parameters of Short Term Real Interest Rate Models written by Mr.Vadim Khramov and published by International Monetary Fund. This book was released on 2013-10-17 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper sheds light on a narrow but crucial question in finance: What should be the parameters of a model of the short-term real interest rate? Although models for the nominal interest rate are well studied and estimated, dynamics of the real interest rate are rarely explored. Simple ad hoc processes for the short-term real interest rate are usually assumed as building blocks for more sophisticated models. In this paper, parameters of the real interest rate model are estimated in the broad class of single-factor interest rate diffusion processes on U.S. monthly data. It is shown that the elasticity of interest rate volatility—the relationship between the volatility of changes in the interest rate and its level—plays a crucial role in explaining real interest rate dynamics. The empirical estimates of the elasticity of the real interest rate volatility are found to be about 0.5, much lower than that of the nominal interest rate. These estimates show that the square root process, as in the Cox-Ingersoll-Ross model, provides a good characterization of the short-term real interest rate process.
Download or read book The Determination of Long term Interest Rates written by Benjamin M. Friedman and published by . This book was released on 1979 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this paper is to bring to bear on financial-non financial interactions a richer approach to modeling the determination of long-term interest rates. in a series of previous papers. I have developed an alternative model based explicitly on the truism that any factor affecting long-term bond yields does so by (and only by) influencing some borrower's supply of bonds and/or some lender's demand for bonds. Rather than model the bond yield directly, as in the single-equation term-structure approach, this work instead models the supply of and the demand for bonds , and determines the bond yield at the level necessary to equate resulting total supply and demand. The specific bond supplies and demands modeled in this work are those in the U .S. market for corporate bonds; this market is the primary source of long-term external lands to finance business fixed investment, and the corporate bond yield is also the long-term interest rate most frequently used in single-equation models of term-structure relationships. This paper reports the implications of this supply-demand model of long-term interest rate determination for the effectiveness of monetary and fiscal policies, as modeled in all other respects by the MJT-Penn-SSRC (henceforth MPS) econometric model of the United Stares. The new research tool applied in this paper is therefore altered MPS model from which the usual single term-structure equation has been removed and into which a supply-demand model of the bond market has been substituted. The only difference between this altered MPS model and the familiar NIPS model therefore lies in the determination of long-term asset yields and prices. Since these long-term yields and prices are such an important part of the overall bearing of financial market developments on nonfinancial behavior, however, the altered model exhibits interesting implications for fiscal and monetary policies
Download or read book Interest Rate Models Theory and Practice written by Damiano Brigo and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Elementary Introduction To Stochastic Interest Rate Modeling An 2nd Edition written by Nicolas Privault and published by World Scientific. This book was released on 2012-05-04 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest rate modeling and the pricing of related derivatives remain subjects of increasing importance in financial mathematics and risk management. This book provides an accessible introduction to these topics by a step-by-step presentation of concepts with a focus on explicit calculations. Each chapter is accompanied with exercises and their complete solutions, making the book suitable for advanced undergraduate and graduate level students.This second edition retains the main features of the first edition while incorporating a complete revision of the text as well as additional exercises with their solutions, and a new introductory chapter on credit risk. The stochastic interest rate models considered range from standard short rate to forward rate models, with a treatment of the pricing of related derivatives such as caps and swaptions under forward measures. Some more advanced topics including the BGM model and an approach to its calibration are also covered.
