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One Factor Models Of The Term Structure Of Interest Rates
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Book Synopsis Modeling the Term Structure of Interest Rates by : Rajna Gibson
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.
Book Synopsis One-factor models of the term structure of interest rates by :
Download or read book One-factor models of the term structure of interest rates written by and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On a General Class of One-Factor Models for the Term Structure of Interest Rates by : Wolfgang M. Schmidt
Download or read book On a General Class of One-Factor Models for the Term Structure of Interest Rates written by Wolfgang M. Schmidt and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose a general one-factor model for the term structure of interest rates which is based upon a model for the short rate. The dynamics of the short rate is described by an appropriate function of a time changed Wiener process. The model allows for perfect fitting of given term structure of interest rates and volatilities, as well as for mean reversion. Moreover, every type of distribution of the short rate can be achieved, in particular, the distribution can be concentrated on an interval. The model includes several popular models such as the generalized Vasicek (or Hull- White) model, the Black-Derman-Toy, Black-Karasinski model, and others. There is a unified numerical approach to the general model based on a simple lattice approximation which, in particular, can be chosen as a binomial or N-nomial lattice with branching probabilities 1/N.
Book Synopsis The Performance of One-versus Two-factor Models of the Term Structure of Interest Rates by : Tom Vinaimont
Download or read book The Performance of One-versus Two-factor Models of the Term Structure of Interest Rates written by Tom Vinaimont and published by . This book was released on 2003 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Estimating One-factor Models of Short-term Interest Rates by : Desmond John Mc Manus
Download or read book Estimating One-factor Models of Short-term Interest Rates written by Desmond John Mc Manus and published by . This book was released on 1999 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers a wide range of several continuous-time one-factor models for short-term interest rates that are nested into one general model.
Book Synopsis On Term Structure of Yield Rates. 4. The Duffie - Kan Two Factor Model by : Gennady Medvedev
Download or read book On Term Structure of Yield Rates. 4. The Duffie - Kan Two Factor Model written by Gennady Medvedev and published by . This book was released on 2017 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest rate models in which the short-term rate is a unique state variable are usually considered. These models are attractive that analytical decisions often give the chance to receive and provide concerning the simple computing analysis. However one-factor models have certain lacks. Basic of them consists that all term structure determines by only the unique value of the short-term rate fixed at the initial moment of construction of term structure. And it is represented unreasonable from the economic point of view. To avoid this lack authors suggest to use for modeling of dynamics of the interest rate more than one state variable. At transition from the unique factor to several there should be an improvement of approximation of term structure. In general the price for it is loss of possibility of receiving of analytical decisions, receiving of the equations with partial derivatives with the raised dimension and complication of procedure of receiving of results. In the paper the Duffie-Kan models, describing dynamics of the short-term interest rate in a case when the state of the financial market is characterized not only by level of the interest rate, but also one more other parameter changing in time are investigated. It is considered two cases. In the first in quality of an additional state variable local on time the average value of the short-term interest rate is accepted. In the second case as an additional state variable the instant variance of the interest rate is accepted. Two-factor models are under construction so that they led to affine term structure of yield. The basic attention is given to definition of functions of term structure. As the equations turning out for these functions do not suppose analytical decisions, it is offered to find their approximations. In view of that in real cases the volatility is usually small, the method of small parameter of Poincare is for this purpose used.
Book Synopsis Analyzing the Term Structure of Interest Rates with Macroeconomic Factor Models by : Arne Halberstadt
Download or read book Analyzing the Term Structure of Interest Rates with Macroeconomic Factor Models written by Arne Halberstadt and published by . This book was released on 2013 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Term Structure of Yield Rates. 3. The Duffie - Kan One-Factor Model by : Gennady Medvedev
Download or read book On Term Structure of Yield Rates. 3. The Duffie - Kan One-Factor Model written by Gennady Medvedev and published by . This book was released on 2017 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The time structure of interest rates plays a key role at the bond pricing. Therefore its properties interest many financial analysts. However in the available literature usually there is a schematic description of these properties. Attempt of the detailed description of all possible forms of time structure for a class of affine models of interest rates as for these models it is possible to write down decisions in the closed form here becomes. As the basic the model of Duffie - Kan (DK) with any bottom border for risk free (spot) interest rate is accepted. Results for widely known models CIR and Vasiček turn out as special cases. For one-factor model of affine yield of Duffie - Kan analytical representations of yield curves and forward curves are found and their properties when the duration measure of risk free rates as a time variable is used are investigated. It is shown that for all variety of parameters exist only four possible kinds of yield curves. For small terms to maturity a bond yield is defined, basically, current level of risk free rates while for very long terms to maturity the yield is defined by a stationary expectation of risk free rates. In this connection it would be possible to expect that influence of current level of risk free rates on yield with time increase will damp. However, it is not so. It has appeared that current level of risk free rates essentially influences on sight of entire yield curve and a forward curve. Let's notice also that yield curve and a forward curve start from one point and at increase in term to maturity converge to the same limit that differs from usually accepted point of view that these curves diverge when the term to maturity increase.
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.
Book Synopsis Essays on the Term Structure of Interest Rates by : Wei Shi
Download or read book Essays on the Term Structure of Interest Rates written by Wei Shi and published by . This book was released on 1995 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Understanding And Managing Interest Rate Risks by : Ren-raw Chen
Download or read book Understanding And Managing Interest Rate Risks written by Ren-raw Chen and published by World Scientific. This book was released on 1996-10-04 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a systematic summary of modern term structure theories and how interest rate contingent claims are priced under such theories. This is the first book on such an attempt. The book reviews important term structure models and chooses one model to consistantly demonstrate contingent claim pricing. Well-known models are included and their relationships are thoroughly discussed. The book also provides a complete process of model implementation from parameter estimation to hedging. Examples are provided throughout.
Book Synopsis Estimating Term Structure of Interest Rates by : Fathi Abid
Download or read book Estimating Term Structure of Interest Rates written by Fathi Abid and published by . This book was released on 2014 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is twofold; first we concentrate on the work of Vasicek (1977) and Cox, Ingersoll and Ross (1985). We examine and test empirically each model and discuss its performance in predicting the term structure of interest rates using a parametric estimating approach GMM (Generalized Moments Method). Second we estimate the term structure of interest rate dynamics using a nonparametric approach ANN (Artificial Neural Network). Two neural network models are performed. The first model uses spreads between interest rates of 10 different maturities as the only explanatory variable of interest rate changes. The second model introduces two factors, spreads and interest rates' levels. Using historical U.S. Treasury bill rates and Treasury bond yields, we compare the ability of each model to predict the term structure of interest rates. Data are daily and cover the period from 3 January 1995 to 29 December 2000. Results suggest that, neural network; Vasicek (1977) and Cox, Ingersoll and Ross (1985) models generate different yield curves. Neural network models outperform the parametric standard models. The most successful forecast is obtained with two factors neural network model.
Book Synopsis Implied Factor Models of Term Structure of Interest Rates by : E. S. W. Shiu
Download or read book Implied Factor Models of Term Structure of Interest Rates written by E. S. W. Shiu and published by . This book was released on 1998 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Global Factors in the Term Structure of Interest Rates by : Mirko Abbritti
Download or read book Global Factors in the Term Structure of Interest Rates written by Mirko Abbritti and published by International Monetary Fund. This book was released on 2013-11-05 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Term Structure of Interest Rates as a Random Field by : Robert S. Goldstein
Download or read book The Term Structure of Interest Rates as a Random Field written by Robert S. Goldstein and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: This abstract was revised by the author since June 1997.Forward rate dynamics are modeled as a random field. In contrast to multi-factor models, random field models offer a parsimonious description of term structure dynamics, while eliminating the self-inconsistent practice of recalibration. The form of the drift of the instantaneous forward rate process necessary to preclude arbitrage under the risk neutral measure is obtained. Forward measures are characterized, and used to price a bond option when the forward volatility structure depends upon the square root of the current spot rate. In addition, it is demonstrated that random field models offer a parsimonious method to account for parameter uncertainty, inherently predicting that the best hedging instrument for a given asset is one of similar maturity. Finally, a random field is shown to be supported within a general equilibrium framework, allowing the risk-neutral measure and risk premia to be identified.
Book Synopsis Interest Rate, Term Structure, and Valuation Modeling by : Frank J. Fabozzi
Download or read book Interest Rate, Term Structure, and Valuation Modeling written by Frank J. Fabozzi and published by John Wiley & Sons. This book was released on 2002-11-29 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ultimate guide contains an excellent blend of theory and practice This comprehensive guide covers various aspects of model building for fixed income securities and derivatives. Filled with expert advice, valuable insights, and advanced modeling techniques, Interest Rate, Term Structure, and Valuation Modeling is a book that all institutional investors, portfolio managers, and risk professionals should have. John Wiley & Sons, Inc. is proud to be the publisher of the esteemed Frank J. Fabozzi Series. Comprising nearly 100 titles-which include numerous bestsellers—The Frank J. Fabozzi Series is a key resource for finance professionals and academics, strategists and students, and investors. The series is overseen by its eponymous editor, whose expert instruction and presentation of new ideas have been at the forefront of financial publishing for over twenty years. His successful career has provided him with the knowledge, insight, and advice that has led to this comprehensive series. Frank J. Fabozzi, PhD, CFA, CPA, is Editor of the Journal of Portfolio Management, which is read by thousands of institutional investors, as well as editor or author of over 100 books on finance for the professional and academic markets. Currently, Dr. Fabozzi is an adjunct Professor of Finance at Yale University's School of Management and on the board of directors of the Guardian Life family of funds and the Black Rock complex of funds.
Book Synopsis A Two-Factor Model of the German Term Structure of Interest Rates by : Nuno Cassola
Download or read book A Two-Factor Model of the German Term Structure of Interest Rates written by Nuno Cassola and published by . This book was released on 2004 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we show that a two-factor constant volatility model provides an adequate description of the dynamics and shape of the German term structure of interest rates from 1972 up to 1998. The model also provides reasonable estimates of the volatility and term premium curves. Following the conjecture that the two factors driving the German term structure of interest rates represent the ex-ante real interest rate and the expected inflation rate, the identification of one factor with expected inflation is discussed. Our estimates are obtained using a Kalman filter and a maximum likelihood procedure including in the measurement equation both the yields and their volatilities.
