Single Factor Heath-Jarrow-Morton Term Structure Models Based on Markov Spot Interest Rate Dynamics

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Single Factor Heath-Jarrow-Morton Term Structure Models Based on Markov Spot Interest Rate Dynamics by : Andrew Jeffrey

Download or read book Single Factor Heath-Jarrow-Morton Term Structure Models Based on Markov Spot Interest Rate Dynamics written by Andrew Jeffrey and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper considers the class of Heath-Jarrow-Morton term structure models where the spot interest rate is Markov and the term structure at time t is a function of time, maturity and the spot interest rate at time t. A representation for this class of models is derived and I show that the functional forms of the forward rate volatility structure and the initial forward rate curve cannot be arbitrarily chosen. I provide necessary and sufficient conditions indicating which combinations of these functional forms are allowable. I also derive a partial differential equation representation of the term structure dynamics which does not require explicit modeling of both the market price of risk and the drift term for the spot interest rate process. Using the analysis presented in this paper a class of intertemporal term structure models is derived.

Interest Rate, Term Structure, and Valuation Modeling

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Publisher : John Wiley & Sons
ISBN 13 : 9780471220947
Total Pages : 536 pages
Book Rating : 4.2/5 (29 download)

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Book Synopsis Interest Rate, Term Structure, and Valuation Modeling by : Frank J. Fabozzi, CFA

Download or read book Interest Rate, Term Structure, and Valuation Modeling written by Frank J. Fabozzi, CFA and published by John Wiley & Sons. This book was released on 2002-11-01 with total page 536 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.

Interest Rate, Term Structure, and Valuation Modeling

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Publisher : John Wiley & Sons
ISBN 13 : 047144698X
Total Pages : 530 pages
Book Rating : 4.4/5 (714 download)

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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.

Construction of a Single Factor Heath-Jarrow-Morton Term Structure Model

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Construction of a Single Factor Heath-Jarrow-Morton Term Structure Model by : Andrew Jeffrey

Download or read book Construction of a Single Factor Heath-Jarrow-Morton Term Structure Model written by Andrew Jeffrey and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the single factor Heath-Jarrow-Morton framework some desirable properties of the entire term structure are proposed. From these properties necessary conditions are developed to restrict the choice of initial forward rate curve and forward rate volatility structure. An analysis of the asymptotic behavior of the term structure's evolution with the specified desirable properties indicates that : i) the dynamics of the infinitely maturing forward rate are locally deterministic in general and in some cases fully deterministic, and ii) the infinitely maturing forward rate cannot fall over time. This paper also considers some new methods, and generalizations of existing methods, for representing an entire term structure model which does notrequire the explicit characterization of the market price of risk.

Markov Modeling of the Term Structure in the Heath-Jarrow-Morton Framework

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Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Markov Modeling of the Term Structure in the Heath-Jarrow-Morton Framework by : Jason Irving Cohen

Download or read book Markov Modeling of the Term Structure in the Heath-Jarrow-Morton Framework written by Jason Irving Cohen and published by . This book was released on 1999 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Paris-Princeton Lectures on Mathematical Finance 2003

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540222668
Total Pages : 264 pages
Book Rating : 4.2/5 (226 download)

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Book Synopsis Paris-Princeton Lectures on Mathematical Finance 2003 by : Tomasz R. Bielecki

Download or read book Paris-Princeton Lectures on Mathematical Finance 2003 written by Tomasz R. Bielecki and published by Springer Science & Business Media. This book was released on 2004-09-09 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Paris-Princeton Lectures in Financial Mathematics, of which this is the second volume, will, on an annual basis, publish cutting-edge research in self-contained, expository articles from outstanding - established or upcoming! - specialists. The aim is to produce a series of articles that can serve as an introductory reference for research in the field. It arises as a result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. This volume presents the following articles: "Hedging of Defaultable Claims" by T. Bielecki, M. Jeanblanc, and M. Rutkowski; "On the Geometry of Interest Rate Models" by T. Björk; "Heterogeneous Beliefs, Speculation and Trading in Financial Markets" by J.A. Scheinkman, and W. Xiong.

Handbook of the Economics of Finance

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Publisher : Elsevier
ISBN 13 : 0080495087
Total Pages : 698 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Handbook of the Economics of Finance by : G. Constantinides

Download or read book Handbook of the Economics of Finance written by G. Constantinides and published by Elsevier. This book was released on 2003-11-04 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1B covers the economics of financial markets: the saving and investment decisions; the valuation of equities, derivatives, and fixed income securities; and market microstructure.

Interest Rate Modelling

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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.

Seminar of Mathematical Analysis

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Publisher : Universidad de Sevilla
ISBN 13 : 9788447210701
Total Pages : 244 pages
Book Rating : 4.2/5 (17 download)

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Book Synopsis Seminar of Mathematical Analysis by : Daniel Girela Álvarez

Download or read book Seminar of Mathematical Analysis written by Daniel Girela Álvarez and published by Universidad de Sevilla. This book was released on 2006 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of the lecture notes of the Seminar on Mathematical Analysis which was held at the Universities of Malaga and Seville, Septembre 2007-June 2005.

Handbooks in Operations Research and Management Science: Financial Engineering

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Publisher : Elsevier
ISBN 13 : 9780080553252
Total Pages : 1026 pages
Book Rating : 4.5/5 (532 download)

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Book Synopsis Handbooks in Operations Research and Management Science: Financial Engineering by : John R. Birge

Download or read book Handbooks in Operations Research and Management Science: Financial Engineering written by John R. Birge and published by Elsevier. This book was released on 2007-11-16 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: The remarkable growth of financial markets over the past decades has been accompanied by an equally remarkable explosion in financial engineering, the interdisciplinary field focusing on applications of mathematical and statistical modeling and computational technology to problems in the financial services industry. The goals of financial engineering research are to develop empirically realistic stochastic models describing dynamics of financial risk variables, such as asset prices, foreign exchange rates, and interest rates, and to develop analytical, computational and statistical methods and tools to implement the models and employ them to design and evaluate financial products and processes to manage risk and to meet financial goals. This handbook describes the latest developments in this rapidly evolving field in the areas of modeling and pricing financial derivatives, building models of interest rates and credit risk, pricing and hedging in incomplete markets, risk management, and portfolio optimization. Leading researchers in each of these areas provide their perspective on the state of the art in terms of analysis, computation, and practical relevance. The authors describe essential results to date, fundamental methods and tools, as well as new views of the existing literature, opportunities, and challenges for future research.

Empirical Comparisons of One Factor Heath-Jarrow-Morton Term Structure Models

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ISBN 13 : 9780947069384
Total Pages : 19 pages
Book Rating : 4.0/5 (693 download)

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Book Synopsis Empirical Comparisons of One Factor Heath-Jarrow-Morton Term Structure Models by : Robert A. J. Gibson

Download or read book Empirical Comparisons of One Factor Heath-Jarrow-Morton Term Structure Models written by Robert A. J. Gibson and published by . This book was released on 1995 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fixed Income Securities

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Publisher : John Wiley & Sons
ISBN 13 : 0470109106
Total Pages : 845 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Fixed Income Securities by : Pietro Veronesi

Download or read book Fixed Income Securities written by Pietro Veronesi and published by John Wiley & Sons. This book was released on 2010-01-12 with total page 845 pages. Available in PDF, EPUB and Kindle. Book excerpt: The deep understanding of the forces that affect the valuation, risk and return of fixed income securities and their derivatives has never been so important. As the world of fixed income securities becomes more complex, anybody who studies fixed income securities must be exposed more directly to this complexity. This book provides a thorough discussion of these complex securities, the forces affecting their prices, their risks, and of the appropriate risk management practices. Fixed Income Securities, however, provides a methodology, and not a shopping list. It provides instead examples and methodologies that can be applied quite universally, once the basic concepts have been understood.

Fixed Income Modelling

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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.

Dynamic Asset Pricing Theory

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Publisher : Princeton University Press
ISBN 13 : 1400829208
Total Pages : 488 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Dynamic Asset Pricing Theory by : Darrell Duffie

Download or read book Dynamic Asset Pricing Theory written by Darrell Duffie and published by Princeton University Press. This book was released on 2010-01-27 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality, and equilibrium. These results are unified with two key concepts, state prices and martingales. Technicalities are given relatively little emphasis, so as to draw connections between these concepts and to make plain the similarities between discrete and continuous-time models. Readers will be particularly intrigued by this latest edition's most significant new feature: a chapter on corporate securities that offers alternative approaches to the valuation of corporate debt. Also, while much of the continuous-time portion of the theory is based on Brownian motion, this third edition introduces jumps--for example, those associated with Poisson arrivals--in order to accommodate surprise events such as bond defaults. Applications include term-structure models, derivative valuation, and hedging methods. Numerical methods covered include Monte Carlo simulation and finite-difference solutions for partial differential equations. Each chapter provides extensive problem exercises and notes to the literature. A system of appendixes reviews the necessary mathematical concepts. And references have been updated throughout. With this new edition, Dynamic Asset Pricing Theory remains at the head of the field.

Empirical Dynamic Asset Pricing

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Publisher : Princeton University Press
ISBN 13 : 1400829232
Total Pages : 497 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Empirical Dynamic Asset Pricing by : Kenneth J. Singleton

Download or read book Empirical Dynamic Asset Pricing written by Kenneth J. Singleton and published by Princeton University Press. This book was released on 2009-12-13 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the leading experts in the field, this book focuses on the interplay between model specification, data collection, and econometric testing of dynamic asset pricing models. The first several chapters provide an in-depth treatment of the econometric methods used in analyzing financial time-series models. The remainder explores the goodness-of-fit of preference-based and no-arbitrage models of equity returns and the term structure of interest rates; equity and fixed-income derivatives prices; and the prices of defaultable securities. Singleton addresses the restrictions on the joint distributions of asset returns and other economic variables implied by dynamic asset pricing models, as well as the interplay between model formulation and the choice of econometric estimation strategy. For each pricing problem, he provides a comprehensive overview of the empirical evidence on goodness-of-fit, with tables and graphs that facilitate critical assessment of the current state of the relevant literatures. As an added feature, Singleton includes throughout the book interesting tidbits of new research. These range from empirical results (not reported elsewhere, or updated from Singleton's previous papers) to new observations about model specification and new econometric methods for testing models. Clear and comprehensive, the book will appeal to researchers at financial institutions as well as advanced students of economics and finance, mathematics, and science.

Modeling the Term Structure of Interest Rates

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Publisher : Now Publishers Inc
ISBN 13 : 1601983727
Total Pages : 171 pages
Book Rating : 4.6/5 (19 download)

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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.

Consistency Problems for Heath-Jarrow-Morton Interest Rate Models

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540414933
Total Pages : 148 pages
Book Rating : 4.4/5 (149 download)

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Book Synopsis Consistency Problems for Heath-Jarrow-Morton Interest Rate Models by : Damir Filipovic

Download or read book Consistency Problems for Heath-Jarrow-Morton Interest Rate Models written by Damir Filipovic and published by Springer Science & Business Media. This book was released on 2001-03-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bond markets differ in one fundamental aspect from standard stock markets. While the latter are built up to a finite number of trade assets, the underlying basis of a bond market is the entire term structure of interest rates: an infinite-dimensional variable which is not directly observable. On the empirical side, this necessitates curve-fitting methods for the daily estimation of the term structure. Pricing models, on the other hand, are usually built upon stochastic factors representing the term structure in a finite-dimensional state space. Written for readers with knowledge in mathematical finance (in particular interest rate theory) and elementary stochastic analysis, this research monograph has threefold aims: to bring together estimation methods and factor models for interest rates, to provide appropriate consistency conditions and to explore some important examples.