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Modeling 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 Term-Structure Models by : Damir Filipovic
Download or read book Term-Structure Models written by Damir Filipovic and published by Springer Science & Business Media. This book was released on 2009-07-28 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Interest Rate Modeling by : Leif B. G. Andersen
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.
Book Synopsis Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective by : René Carmona
Download or read book Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective written by René Carmona and published by Springer Science & Business Media. This book was released on 2007-05-22 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical issues that arise in modeling the interest rate term structure by casting the interest-rate models as stochastic evolution equations in infinite dimensions. The text includes a crash course on interest rates, a self-contained introduction to infinite dimensional stochastic analysis, and recent results in interest rate theory. From the reviews: "A wonderful book. The authors present some cutting-edge math." --WWW.RISKBOOK.COM
Book Synopsis The Term Structure of Interest Rates by : R. S. Masera
Download or read book The Term Structure of Interest Rates written by R. S. Masera and published by . This book was released on 1972 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling the Term Structure of Interest Rates by : Francois Lhabitant
Download or read book Modeling the Term Structure of Interest Rates written by Francois Lhabitant and published by . This book was released on 2001 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last two decades have seen the development of a profusion of theoretical models of the term structure of interest rates. This study provides a general overview and a comprehensive comparative study of the most popular ones among both academics and practitioners. It also discusses their respective advantages and disadvantages in terms of bond and/or interest rate contingent claims continuous time valuation or hedging, parameter estimation, and calibration. Finally, it proposes a unified approach for model risk assessment. Despite the relatively complex mathematics involved, financial intuition rather then mathematical rigour is emphasised throughout. The classification by means of general characteristics should enable the understanding of the different features of each model, facilitate the choice of a model in specific theoretical or empirical circumstances, and allows the testing of various models with nested as well as non-nested specifications.
Book Synopsis The Term Structure of Interest Rates by : David Meiselman
Download or read book The Term Structure of Interest Rates written by David Meiselman and published by . This book was released on 1962 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling the Term Structure of Interest Rates by : Stan Maes
Download or read book Modeling the Term Structure of Interest Rates written by Stan Maes and published by . This book was released on 2006 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper provides an introduction to the mathematical models that describe the shape of the term structure of interest rates across time. In essence, all these so-called term structure models are driven by the assumption that arbitrage opportunities are absent. The intuitive concept of absence of arbitrage can be linked directly to the existence of a pricing kernel and a risk neutral probability measure. The latter concepts are at the heart of the finance literature and play a unifying role in it. Moreover, by assuming that the state of the economy is well-described by factors that follow diffusion dynamics, factor-dependent expressions for prices and yields can be derived. Typically and for reasons of tractability, additional model assumptions are imposed on the factor dynamics, giving rise to the so-called affine class of term structure models. We discuss the fundamental trade-off between empirical flexibility and theoretical rigor that applies to all models within the affine class of term structure models. Recently, the class of quadratic term structure models has been proposed and seems to outperform the affine class in terms of matching the economic moments of the yield curve. However, given the lack of uniform data samples and the widely differing estimation methods, much robustness work remains to be done.
Book Synopsis Modeling the Term Structure of Interest Rates Across Countries by : Stan Maes
Download or read book Modeling the Term Structure of Interest Rates Across Countries written by Stan Maes and published by LAP Lambert Academic Publishing. This book was released on 2010-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of the stochastic behaviour of yields is important for the conduct of monetary policy, the financing of public debt, the expectations of real economic activity and inflation, the risk management of a portfolio of securities, and the valuation of interest rate derivatives. It is, therefore, not surprising that the study of yield curve dynamics is occupying such a prominent and unique place in theoretical and empirical macroeconomics and finance.
Book Synopsis Interest Rate Modeling: Post-Crisis Challenges and Approaches by : Zorana Grbac
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.
Book Synopsis Interest Rate Dynamics, Derivatives Pricing, and Risk Management by : Lin Chen
Download or read book Interest Rate Dynamics, Derivatives Pricing, and Risk Management written by Lin Chen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modeling the Term Structure of Interest Rates Under Nonseparable Utilityand Duriability of Goods by : Kenneth B. Dunn
Download or read book Modeling the Term Structure of Interest Rates Under Nonseparable Utilityand Duriability of Goods written by Kenneth B. Dunn and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper investigates the term structure relations implied by a two-good model in which goods are durable and the preference function of consimters may be non separable both over time and the decision variables. The parameters characterizing preferences are estimated and the implied restrictions on the comovements of consumptions and the returns from following different investment strategies in bonds are examined. Both the durability of goods (modeled by a linear service technology) and the nonseparability of preferences over services from goods are important factors in explaining the time paths of individual returns. However, substantial evidence against our model is obtained when the restrictions associated with two different investment strategies are studied simultaneously. Specifically, the difference between the sample mean returns are too large relative to the difference between the sample covariances of the returns and the marginal utility from acquiring a unit of the numeraire good. Our findings suggest that these discrepancies are not a consequence of either the relatively small variability in aggregate acquisitions of goods, or our small estimates of relative risk aversion.
Book Synopsis Modeling the Term Structure of Interest Rates Under Nonseparable Utility and Durability of Goods by : Kenneth B. Dunn
Download or read book Modeling the Term Structure of Interest Rates Under Nonseparable Utility and Durability of Goods written by Kenneth B. Dunn and published by . This book was released on 1984 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Elementary Introduction to Stochastic Interest Rate Modeling by : Nicolas Privault
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.
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 Zero Lower Bound Term Structure Modeling by : L. Krippner
Download or read book Zero Lower Bound Term Structure Modeling written by L. Krippner and published by Springer. This book was released on 2015-01-05 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nominal yields on government debt in several countries have fallen very near their zero lower bound (ZLB), causing a liquidity trap and limiting the capacity to stimulate economic growth. This book provides a comprehensive reference to ZLB structure modeling in an applied setting.
