Yield Curve Modelling and a Conceptual Framework for Estimating Yield Curves

Yield Curve Modelling and a Conceptual Framework for Estimating Yield Curves

Author:

Publisher:

Published: 2018

Total Pages:

ISBN-13: 9789289933568

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The European Central Bank (ECB), as part of its forward-looking strategy, needs high-quality financial market statistical indicators as a means to facilitate evidence-based and sound decision-making. Such indicators include timely market intelligence and information to gauge investors' expectations and reaction functions with regard to policy decisions. The main use of yield curve estimations from an ECB monetary policy perspective is to obtain a proper empirical representation of the term structure of interest rates for the euro area which can be interpreted in terms of market expectations of monetary policy, economic activity and inflation expectations over short-, medium- and long-term horizons. Yield curves therefore play a pivotal role in the monitoring of the term structure of interest rates in the euro area. In this context, the purpose of this paper is twofold: firstly, to pave the way for a conceptual framework with recommendations for selecting a high-quality government bond sample for yield curve estimations, where changes mainly reflect changes in the yields-to-maturity rather than in other attributes of the underlying debt securities and models; and secondly, to supplement the comprehensive - mainly theoretical - literature with the more empirical side of term structure estimations by applying statistical tests to select and produce representative yield curves for policymakers and market-makers.


Yield Curve Modeling and Forecasting

Yield Curve Modeling and Forecasting

Author: Francis X. Diebold

Publisher: Princeton University Press

Published: 2013-01-15

Total Pages: 223

ISBN-13: 0691146802

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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.


Estimating and Interpreting the Yield Curve

Estimating and Interpreting the Yield Curve

Author: Nicola Anderson

Publisher:

Published: 1996-06-04

Total Pages: 248

ISBN-13:

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A yield curve is a graph indicating the term structure of interest rates by plotting the yields of all bonds of the same quality. This book provides a thorough analysis of estimation techniques and a survey of yield curve interpretation. On the former it is the most advanced book in its field, on the latter it provides an introduction to more specialised texts. It also provides important insight into the latest thinking on these techniques at the Bank of England.


Yield Curve Modeling

Yield Curve Modeling

Author: Y. Stander

Publisher: Springer

Published: 2005-06-23

Total Pages: 202

ISBN-13: 0230513743

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This book will give the reader insight into how to model yield curves in our incomplete and imperfect financial markets. An extensive list of yield curve models are shown and discussed. Using actual market instruments, these models are then applied and the different yield curves are compared. It is assumed that the reader has a basic understanding of the financial instruments available in the market. Various issues that have to be taken into account in practice are discussed, like daycount conventions, business-day rules, the credit quality of the instrument and liquidity to name but a few. It is also shown how yield curves can be used to estimate credit spreads and country risk premiums. Creating a yield curve model has some implications in risk management. Specifically - the model, operational, liquidity and basis risks are discussed.


Joint Modelling of International Yield Curves

Joint Modelling of International Yield Curves

Author: Matti Koivu

Publisher:

Published: 2008

Total Pages: 19

ISBN-13:

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In this paper we propose a new approach to modelling and estimating yield curves across multiple currency areas. The idea is that one area acts as the 'cardinal' economy by affecting the yield curve evolution in the other markets. To some extent, the yield curve factors of the 'cardinal economy' serve the role as global yield curve factors. The adopted methodology is inspired by the 3-factor Nelson-Siegel yield curve model where a particular loading structure is identified for the 'non-cardinal' currency areas. Using US, German and Japanese data the model is shown to fit well both the cross-sectional and time-series dynamics of yields.


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

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

Author: Ken Nyholm

Publisher: Cambridge University Press

Published: 2021-01-07

Total Pages: 152

ISBN-13: 1108982301

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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.


Estimating Yield Curve Noise

Estimating Yield Curve Noise

Author: Michael G. Abrahams

Publisher:

Published: 2018

Total Pages: 29

ISBN-13:

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In this paper, I explore methods for estimating noise in the yield curve. I evaluate optimization methods for fitting yield curves using the Nelson-Siegel model where recommendations in the literature remain unclear. I provide open source code on Github including contributions to the QuantLib C++ financial library.


Modelling the Yield Curve

Modelling the Yield Curve

Author: Mr.Mark P. Taylor

Publisher: International Monetary Fund

Published: 1991-12-01

Total Pages: 38

ISBN-13: 145193145X

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We test and estimate a variety of alternative models of the yield curve, using weekly, high-quality U.K. data. We extend the Campbell-Shiller technique to the overlapping data case and apply it to reject the pure expectations hypothesis under rational expectations. We also find that risk measures, in the form of conditional interest rate volatility, are unable to explain the term premium. A simple, market segmentation approach is, however, moderately successful in explaining the term premium.


Introduction of a New Conceptual Framework for Government Debt Management

Introduction of a New Conceptual Framework for Government Debt Management

Author: Anja Hubig

Publisher: Springer Science & Business Media

Published: 2013-01-18

Total Pages: 228

ISBN-13: 3658009187

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​Against the background of the financial-cum-sovereign debt crisis, government debt managers are currently faced by a challenging environment. One key element in that respect is the analysis and forecast of interest rates, which is important for achieving the strategic objective of low borrowing costs. Anja Hubig develops a new mathematical method to estimate the term structure of interest rates, that is adopted to describe the term structure dynamics within a stochastic setting. The introduced model is capable to capture the complex behavior of the entire yield curve with a reduced set of parameters. It essentially ensures a comprehensive analysis of the costs and risks associated with individual funding strategies, and thus effectively supports the selection of a long-term optimal debt portfolio composition.


Parsimoneous Modeling of Yield Curves for U.S. Treasury Bills

Parsimoneous Modeling of Yield Curves for U.S. Treasury Bills

Author: Charles R. Nelson

Publisher:

Published: 1985

Total Pages: 58

ISBN-13:

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A new model is proposed for representinq the term to maturity structure of interest rates at a point in time.The model produces humped, monotonic and S-shaped yield curves using four parameters. Conditional on a time decay parameter, estimates of the other three are obtained by least squares. Yield curves for thirty-seven sets of U.S. Treasury bill yields with maturities up to one year are presented. The median standard deviation of fit is just over seven basis points and the corresponding median R-squared is .96. Study of residuals suggests the existence of specific maturity effects not previously identified. Using the models to predict the price of a long term bond provides a diagnostic check and suggests directions for further research.