Author: Jan De Kort
Publisher:
ISBN:
Category :
Languages : en
Pages : 10
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Book Description
We show that, as a consequence of the Dybvig-Ingersoll-Ross theorem, the existence of a non-deterministic long rate in a factor model of the term structure implies that the model has an equivalent representation in which one of the state variables is nondecreasing. Moreover, for two-dimensional factor models, we prove that if the long rate is non-deterministic, the yield curve flattens out and the factor process is asymptotically non-deterministic, then the term structure is unbounded. Finally, following up on an open question in El Karoui et al. (1997), we provide an explicit example of a three-dimensional affine factor model with a non-deterministic yet finite long rate in which volatility of the factor process does not vanish over time.
Author: Borus Jungbacker
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Borus Martinus Johannes Petrus Jungbacker
Publisher:
ISBN:
Category :
Languages : en
Pages : 51
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Book Description
Author: Lin Chen
Publisher: Springer Science & Business Media
ISBN: 364246825X
Category : Business & Economics
Languages : en
Pages : 158
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Book Description
There are two types of tenn structure models in the literature: the equilibrium models and the no-arbitrage models. And there are, correspondingly, two types of interest rate derivatives pricing fonnulas based on each type of model of the tenn structure. The no-arbitrage models are characterized by the work of Ho and Lee (1986), Heath, Jarrow, and Morton (1992), Hull and White (1990 and 1993), and Black, Dennan and Toy (1990). Ho and Lee (1986) invent the no-arbitrage approach to the tenn structure modeling in the sense that the model tenn structure can fit the initial (observed) tenn structure of interest rates. There are a number of disadvantages with their model. First, the model describes the whole volatility structure by a sin gle parameter, implying a number of unrealistic features. Furthennore, the model does not incorporate mean reversion. Black-Dennan-Toy (1990) develop a model along tbe lines of Ho and Lee. They eliminate some of the problems of Ho and Lee (1986) but create a new one: for a certain specification of the volatility function, the short rate can be mean-fteeting rather than mean-reverting. Heath, Jarrow and Morton (1992) (HJM) construct a family of continuous models of the term struc ture consistent with the initial tenn structure data.
Author: Damir Filipovic
Publisher: Springer Science & Business Media
ISBN: 3540680152
Category : Mathematics
Languages : en
Pages : 259
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Book Description
Changing interest rates constitute one of the major risk sources for banks, insurance companies, and other financial institutions. Modeling the term-structure movements of interest rates is a challenging task. This volume gives an introduction to the mathematics of term-structure models in continuous time. It includes practical aspects for fixed-income markets such as day-count conventions, duration of coupon-paying bonds and yield curve construction; arbitrage theory; short-rate models; the Heath-Jarrow-Morton methodology; consistent term-structure parametrizations; affine diffusion processes and option pricing with Fourier transform; LIBOR market models; and credit risk. The focus is on a mathematically straightforward but rigorous development of the theory. Students, researchers and practitioners will find this volume very useful. Each chapter ends with a set of exercises, that provides source for homework and exam questions. Readers are expected to be familiar with elementary Itô calculus, basic probability theory, and real and complex analysis.
Author: Nikiforos T. Laopodis
Publisher: Taylor & Francis
ISBN: 1000506053
Category : Business & Economics
Languages : en
Pages : 767
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Book Description
Financial Economics and Econometrics provides an overview of the core topics in theoretical and empirical finance, with an emphasis on applications and interpreting results. Structured in five parts, the book covers financial data and univariate models; asset returns; interest rates, yields and spreads; volatility and correlation; and corporate finance and policy. Each chapter begins with a theory in financial economics, followed by econometric methodologies which have been used to explore the theory. Next, the chapter presents empirical evidence and discusses seminal papers on the topic. Boxes offer insights on how an idea can be applied to other disciplines such as management, marketing and medicine, showing the relevance of the material beyond finance. Readers are supported with plenty of worked examples and intuitive explanations throughout the book, while key takeaways, ‘test your knowledge’ and ‘test your intuition’ features at the end of each chapter also aid student learning. Digital supplements including PowerPoint slides, computer codes supplements, an Instructor’s Manual and Solutions Manual are available for instructors. This textbook is suitable for upper-level undergraduate and graduate courses on financial economics, financial econometrics, empirical finance and related quantitative areas.
Author: Mirko Abbritti
Publisher: International Monetary Fund
ISBN: 1475513313
Category : Business & Economics
Languages : en
Pages : 41
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Book Description
This paper introduces global factors within a FAVAR framework in an empirical affine term structure model. We apply our method to a panel of international yield curves and show that global factors account for more than 80 percent of term premia in advanced economies. In particular they tend to explain long-term dynamics in yield curves, as opposed to domestic factors which are instead more relevant to short-run movements. We uncover the key role for global curvature in shaping term premia dynamics. We show that this novel factor precedes global economic and financial instability. In particular, it coincides with immediate expectations of permanent expansionary monetary policy during the recent crisis.
Author: Rajna Gibson
Publisher: Now Publishers Inc
ISBN: 1601983727
Category : Business & Economics
Languages : en
Pages : 171
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Book Description
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.
Author: Moorad Choudhry
Publisher: John Wiley & Sons
ISBN: 1118179587
Category : Business & Economics
Languages : en
Pages : 716
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Book Description
This book is a comprehensive and in-depth account of the global debt capital markets. It covers a wide range of instruments and their applications, including derivative instruments. Highlights of the book include: Detailed description of the main products in use in the fixed income markets today, including analysis and valuation Summary of market conventions and trading practices Extensive coverage of associated derivatives including futures, swaps, options and credit derivatives Writing style aimed at a worldwide target audience An overview of trading and investment strategy. The contents will be invaluable reading for anyone with an interest in debt capital markets, especially investors, traders, bond salespersons, risk managers and banking consultants.
Author: Ronald J. Ryan
Publisher: Global Professional Publishi
ISBN: 9781888998061
Category : Business & Economics
Languages : en
Pages : 240
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Book Description
� 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.
