Mathematical Modelling Of Yield Curve Dynamics

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Yield Curve Modeling and Forecasting

Author : Francis X. Diebold
Publisher : Princeton University Press
ISBN 13 : 0691146802
Total Pages : 223 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Yield Curve Modeling and Forecasting by : Francis X. Diebold

Download or read book Yield Curve Modeling and Forecasting written by Francis X. Diebold and published by Princeton University Press. This book was released on 2013-01-15 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the dynamic evolution of the yield curve is critical to many financial tasks, including pricing financial assets and their derivatives, managing financial risk, allocating portfolios, structuring fiscal debt, conducting monetary policy, and valuing capital goods. Unfortunately, most yield curve models tend to be theoretically rigorous but empirically disappointing, or empirically successful but theoretically lacking. In this book, Francis Diebold and Glenn Rudebusch propose two extensions of the classic yield curve model of Nelson and Siegel that are both theoretically rigorous and empirically successful. The first extension is the dynamic Nelson-Siegel model (DNS), while the second takes this dynamic version and makes it arbitrage-free (AFNS). Diebold and Rudebusch show how these two models are just slightly different implementations of a single unified approach to dynamic yield curve modeling and forecasting. They emphasize both descriptive and efficient-markets aspects, they pay special attention to the links between the yield curve and macroeconomic fundamentals, and they show why DNS and AFNS are likely to remain of lasting appeal even as alternative arbitrage-free models are developed. Based on the Econometric and Tinbergen Institutes Lectures, Yield Curve Modeling and Forecasting contains essential tools with enhanced utility for academics, central banks, governments, and industry.

Mathematical Modelling of Yield Curve Dynamics

Author : F. Celot
Publisher :
ISBN 13 :
Total Pages : 65 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Mathematical Modelling of Yield Curve Dynamics by : F. Celot

Download or read book Mathematical Modelling of Yield Curve Dynamics written by F. Celot and published by . This book was released on 2005 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Practitioner's Guide to Discrete-Time Yield Curve Modelling

Author : Ken Nyholm
Publisher : Cambridge University Press
ISBN 13 : 1108982301
Total Pages : 152 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis A Practitioner's Guide to Discrete-Time Yield Curve Modelling by : Ken Nyholm

Download or read book A Practitioner's Guide to Discrete-Time Yield Curve Modelling written by Ken Nyholm and published by Cambridge University Press. This book was released on 2021-01-07 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element is intended for students and practitioners as a gentle and intuitive introduction to the field of discrete-time yield curve modelling. I strive to be as comprehensive as possible, while still adhering to the overall premise of putting a strong focus on practical applications. In addition to a thorough description of the Nelson-Siegel family of model, the Element contains a section on the intuitive relationship between P and Q measures, one on how the structure of a Nelson-Siegel model can be retained in the arbitrage-free framework, and a dedicated section that provides a detailed explanation for the Joslin, Singleton, and Zhu (2011) model.

Building and Using Dynamic Interest Rate Models

Author : Ken O. Kortanek
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Building and Using Dynamic Interest Rate Models by : Ken O. Kortanek

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.

Yield Curves and Forward Curves for Diffusion Models of Short Rates

Author : Gennady A. Medvedev
Publisher : Springer
ISBN 13 : 3030155005
Total Pages : 230 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Yield Curves and Forward Curves for Diffusion Models of Short Rates by : Gennady A. Medvedev

Download or read book Yield Curves and Forward Curves for Diffusion Models of Short Rates written by Gennady A. Medvedev and published by Springer. This book was released on 2019-05-18 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the study of the term structures of the yields of zero-coupon bonds. The methods it describes differ from those usually found in the literature in that the time variable is not the term to maturity but the interest rate duration, or another convenient non-linear transformation of terms. This makes it possible to consider yield curves not only for a limited interval of term values, but also for the entire positive semiaxis of terms. The main focus is the comparative analysis of yield curves and forward curves and the analytical study of their features. Generalizations of yield term structures are studied where the dimension of the state space of the financial market is increased. In cases where the analytical approach is too cumbersome, or impossible, numerical techniques are used. This book will be of interest to financial analysts, financial market researchers, graduate students and PhD students.

Bond Pricing and Yield Curve Modeling

Author : Riccardo Rebonato
Publisher :
ISBN 13 : 1107165857
Total Pages : 781 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Bond Pricing and Yield Curve Modeling by : Riccardo Rebonato

Download or read book Bond Pricing and Yield Curve Modeling written by Riccardo Rebonato and published by . This book was released on 2018-06-07 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rebonato provides an authoritative, clear, and up-to-date explanation of the cutting-edge innovations in affine modeling for government bonds, and provides readers with the precise tools to develop their own models. This book combines precise theory with up-to-date empirical evidence to build, with the minimum mathematical sophistication required for the task, a critical understanding of what drives the government bond market.

Interest Rate Models Theory and Practice

Author : Damiano Brigo
Publisher : Springer Science & Business Media
ISBN 13 : 3662045532
Total Pages : 544 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Interest Rate Models Theory and Practice by : Damiano Brigo

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.

Yield Curve Dynamics

Author : Ronald J. Ruan
Publisher :
ISBN 13 : 9781888998078
Total Pages : 219 pages
Book Rating : 4.9/5 (98 download)

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Book Synopsis Yield Curve Dynamics by : Ronald J. Ruan

Download or read book Yield Curve Dynamics written by Ronald J. Ruan and published by . This book was released on 1997 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Models

Author : Richard Haberman
Publisher : SIAM
ISBN 13 : 9781611971156
Total Pages : 419 pages
Book Rating : 4.9/5 (711 download)

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Book Synopsis Mathematical Models by : Richard Haberman

Download or read book Mathematical Models written by Richard Haberman and published by SIAM. This book was released on 1998-12-01 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author uses mathematical techniques along with observations and experiments to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow. Equal emphasis is placed on the mathematical formulation of the problem and the interpretation of the results. In the sections on mechanical vibrations and population dynamics, the author emphasizes the nonlinear aspects of ordinary differential equations and develops the concepts of equilibrium solutions and their stability. He introduces phase plane methods for the nonlinear pendulum and for predator-prey and competing species models. Haberman develops the method of characteristics to analyze the nonlinear partial differential equations that describe traffic flow. Fan-shaped characteristics describe the traffic situation that occurs when a traffic light turns green and shock waves describe the effects of a red light or traffic accident. Although it was written over 20 years ago, this book is still relevant. It is intended as an introduction to applied mathematics, but can be used for undergraduate courses in mathematical modeling or nonlinear dynamical systems or to supplement courses in ordinary or partial differential equations.

New Methods in Fixed Income Modeling

Author : Mehdi Mili
Publisher : Springer
ISBN 13 : 3319952854
Total Pages : 298 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis New Methods in Fixed Income Modeling by : Mehdi Mili

Download or read book New Methods in Fixed Income Modeling written by Mehdi Mili and published by Springer. This book was released on 2018-08-18 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new approaches to fixed income modeling and portfolio management techniques. Taking into account the latest mathematical and econometric developments in finance, it analyzes the hedging securities and structured instruments that are offered by banks, since recent research in the field of fixed incomes and financial markets has raised awareness for changes in market risk management strategies. The book offers a valuable resource for all researchers and practitioners interested in the theory behind fixed income instruments, and in their applications in financial portfolio management.

Yield Curve Dynamics

Author : Ronald J. Ryan
Publisher : Global Professional Publishi
ISBN 13 : 9781888998061
Total Pages : 240 pages
Book Rating : 4.9/5 (98 download)

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Book Synopsis Yield Curve Dynamics by : Ronald J. Ryan

Download or read book Yield Curve Dynamics written by Ronald J. Ryan and published by Global Professional Publishi. This book was released on 1997 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: � Invaluable to financial professionals � Breakthrough that examines both theory and practical solutions Examines both the advanced theory and practice of these techniques. Topics include: single- and multi-factor models; applying yield-curve modeling to risk management; forecasting short-term interest rates; unique yield-curve volatility; and trading strategies.

The Yield Curve and Financial Risk Premia

Author : Felix Geiger
Publisher : Springer Science & Business Media
ISBN 13 : 3642215750
Total Pages : 320 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis The Yield Curve and Financial Risk Premia by : Felix Geiger

Download or read book The Yield Curve and Financial Risk Premia written by Felix Geiger and published by Springer Science & Business Media. This book was released on 2011-08-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The determinants of yield curve dynamics have been thoroughly discussed in finance models. However, little can be said about the macroeconomic factors behind the movements of short- and long-term interest rates as well as the risk compensation demanded by financial investors. By taking on a macro-finance perspective, the book’s approach explicitly acknowledges the close feedback between monetary policy, the macroeconomy and financial conditions. Both theoretical and empirical models are applied in order to get a profound understanding of the interlinkages between economic activity, the conduct of monetary policy and the underlying macroeconomic factors of bond price movements. Moreover, the book identifies a broad risk-taking channel of monetary transmission which allows a reassessment of the role of financial constraints; it enables policy makers to develop new guidelines for monetary policy and for financial supervision of how to cope with evolving financial imbalances.

On Term Structure of Yield Rates. 7. Another Temporal Variable for Maturities

Author : Gennady Medvedev
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis On Term Structure of Yield Rates. 7. Another Temporal Variable for Maturities by : Gennady Medvedev

Download or read book On Term Structure of Yield Rates. 7. Another Temporal Variable for Maturities written by Gennady Medvedev and published by . This book was released on 2017 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In paper it is offered to consider a time variable that describes term to maturity of zero-coupon bonds as result of nonlinear transformation of the temporary terms that are independent on parameters of interest rate dynamics model, allowing to map the time numerical axis into an interval of unit length. This way has advantages before application as a measure of time of a duration of a short-term interest rate because at the duration application the time variable depends on parameters of considered models that complicates a comparison of yields for the same real terms to maturity. It is shown that resulting yield functions possess practically the same properties as a yield to maturity curve and a forward curve, except for (in certain cases) properties connected with the second derivative. At the same time they it is more convenient because allow to analyze visually the yields on all time axis. Use of such approach is illustrated in the analysis of properties of the yield curve and the forward curve for one-factor model of Duffie - Kan, Fong - Vasicek two-factor model and three-factor models of interest rates: Fong - Vasicek expanded model, Chen model and the BDFS model. In paper the mathematical models of dynamics of the state variables for all these cases (six various models) are formulated, the equations for functions of term structure are deduced and (when it is possible) their analytical solutions are found. As the main part of the equations can be solved only by calculations, numerical calculations for all six models are carried out and comparisons of yield functions characterizing their term structure are carried out. Calculations were carried out for a set of the parameters based on estimates, published by D. Ahn and B. Gao, fitting one-factor Duffie - Kan model for the description of dynamics of process of an annualized one-month U.S. Treasury bill rate for the supervision period from January, 1960 to February, 1991. Calculations showed that the increase of model dimension implies the decrease of yield rate.

Dynamic Term Structure Modeling

Author : Sanjay K. Nawalkha
Publisher : John Wiley & Sons
ISBN 13 : 0470140062
Total Pages : 722 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Dynamic Term Structure Modeling by : Sanjay K. Nawalkha

Download or read book Dynamic Term Structure Modeling written by Sanjay K. Nawalkha and published by John Wiley & Sons. This book was released on 2007-05-23 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for Dynamic Term Structure Modeling "This book offers the most comprehensive coverage of term-structure models I have seen so far, encompassing equilibrium and no-arbitrage models in a new framework, along with the major solution techniques using trees, PDE methods, Fourier methods, and approximations. It is an essential reference for academics and practitioners alike." --Sanjiv Ranjan Das Professor of Finance, Santa Clara University, California, coeditor, Journal of Derivatives "Bravo! This is an exhaustive analysis of the yield curve dynamics. It is clear, pedagogically impressive, well presented, and to the point." --Nassim Nicholas Taleb author, Dynamic Hedging and The Black Swan "Nawalkha, Beliaeva, and Soto have put together a comprehensive, up-to-date textbook on modern dynamic term structure modeling. It is both accessible and rigorous and should be of tremendous interest to anyone who wants to learn about state-of-the-art fixed income modeling. It provides many numerical examples that will be valuable to readers interested in the practical implementations of these models." --Pierre Collin-Dufresne Associate Professor of Finance, UC Berkeley "The book provides a comprehensive description of the continuous time interest rate models. It serves an important part of the trilogy, useful for financial engineers to grasp the theoretical underpinnings and the practical implementation." --Thomas S. Y. Ho, PHD President, Thomas Ho Company, Ltd, coauthor, The Oxford Guide to Financial Modeling

Stochastic Interest Rate Modeling With Fixed Income Derivative Pricing (Third Edition)

Author : Nicolas Privault
Publisher : World Scientific
ISBN 13 : 9811226628
Total Pages : 373 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Stochastic Interest Rate Modeling With Fixed Income Derivative Pricing (Third Edition) by : Nicolas Privault

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.

Interest Rate Modelling

Author : S. Svoboda
Publisher : Springer
ISBN 13 : 1403946027
Total Pages : 275 pages
Book Rating : 4.4/5 (39 download)

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Book Synopsis Interest Rate Modelling by : S. Svoboda

Download or read book Interest Rate Modelling written by S. Svoboda and published by Springer. This book was released on 2003-12-18 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growth in the derivatives market has brought with it a greater volume and range of interest rate dependent products. These products have become increasingly innovative and complex to price, requiring sophisticated market models that capture the full dynamics of the yield curve. A study of the evolution of interest rate modelling theory places these models in the correct mathematical context, allowing appreciation of their key assumptions, concepts and implications. The book guides the practitioner through the derivation and implementation of a variety of models that account for the characteristics and irregularities of observed term structures.

Fixed Income Modelling

Author : Claus Munk
Publisher : Oxford University Press
ISBN 13 : 0199575088
Total Pages : 573 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Fixed Income Modelling by : Claus Munk

Download or read book Fixed Income Modelling written by Claus Munk and published by Oxford University Press. This book was released on 2011-06-30 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large number of securities related to various interest rates are traded in financial markets. Traders and analysts in the financial industry apply models based on economics, mathematics and probability theory to compute reasonable prices and risk measures for these securities. This book offers a unified presentation of such models and securities.