Construction Of A Single Factor Heath Jarrow Morton Term Structure Model

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

Author : Andrew Jeffrey
Publisher :
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.

Interest Rate, Term Structure, and Valuation Modeling

Author : Frank J. Fabozzi, CFA
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.

Term-Structure Models

Author : Damir Filipovic
Publisher : Springer Science & Business Media
ISBN 13 : 3540680152
Total Pages : 259 pages
Book Rating : 4.5/5 (46 download)

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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.

Interest Rate, Term Structure, and Valuation Modeling

Author : Frank J. Fabozzi
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.

Interest Rate Models - Theory and Practice

Author : Damiano Brigo
Publisher : Springer Science & Business Media
ISBN 13 : 354034604X
Total Pages : 1016 pages
Book Rating : 4.5/5 (43 download)

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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 2007-09-26 with total page 1016 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.

Modeling Derivatives in C++

Author : Justin London
Publisher : John Wiley & Sons
ISBN 13 : 047168189X
Total Pages : 922 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Modeling Derivatives in C++ by : Justin London

Download or read book Modeling Derivatives in C++ written by Justin London and published by John Wiley & Sons. This book was released on 2005-01-21 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the definitive and most comprehensive guide to modeling derivatives in C++ today. Providing readers with not only the theory and math behind the models, as well as the fundamental concepts of financial engineering, but also actual robust object-oriented C++ code, this is a practical introduction to the most important derivative models used in practice today, including equity (standard and exotics including barrier, lookback, and Asian) and fixed income (bonds, caps, swaptions, swaps, credit) derivatives. The book provides complete C++ implementations for many of the most important derivatives and interest rate pricing models used on Wall Street including Hull-White, BDT, CIR, HJM, and LIBOR Market Model. London illustrates the practical and efficient implementations of these models in real-world situations and discusses the mathematical underpinnings and derivation of the models in a detailed yet accessible manner illustrated by many examples with numerical data as well as real market data. A companion CD contains quantitative libraries, tools, applications, and resources that will be of value to those doing quantitative programming and analysis in C++. Filled with practical advice and helpful tools, Modeling Derivatives in C++ will help readers succeed in understanding and implementing C++ when modeling all types of derivatives.

Modeling the Term Structure of Interest Rates

Author : Rajna Gibson
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.

Advanced Financial Risk Management

Author : Donald R. Van Deventer
Publisher : John Wiley & Sons
ISBN 13 : 1118177320
Total Pages : 502 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Advanced Financial Risk Management by : Donald R. Van Deventer

Download or read book Advanced Financial Risk Management written by Donald R. Van Deventer and published by John Wiley & Sons. This book was released on 2011-09-29 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth look at financial risk management Advanced Financial Risk Management integrates interest rate risk, credit risk, foreign exchange risk, and capital allocation using a consistent risk management approach. It explains, in detailed, yet understandable terms, the analytics of these issues from A to Z. Written by experienced risk managers, this book bridges the gap between the idealized assumptions used for valuation and the realities that must be reflected in management actions. It covers everything from the basics of present value, forward rates, and interest rate compounding to the wide variety of alternative term structure models. Donald R. Van Deventer (Hawaii) founded the Kamakura Corporation in April 1990 and is currently President. In 2003, he was voted into the Risk Hall of Fame for having made a profound contribution to the field of risk management. Kenji Imai (Hawaii) heads Software Development for Kamakura and participates in selected Japan-related financial advisory assignments. Mark Mesler (Hawaii) heads the information production for Kamakura Risk Information Services.

Continuous-Time Asset Pricing Theory

Author : Robert A. Jarrow
Publisher : Springer Nature
ISBN 13 : 3030744108
Total Pages : 470 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Continuous-Time Asset Pricing Theory by : Robert A. Jarrow

Download or read book Continuous-Time Asset Pricing Theory written by Robert A. Jarrow and published by Springer Nature. This book was released on 2021-07-30 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asset pricing theory yields deep insights into crucial market phenomena such as stock market bubbles. Now in a newly revised and updated edition, this textbook guides the reader through this theory and its applications to markets. The new edition features new results on state dependent preferences, a characterization of market efficiency and a more general presentation of multiple-factor models using only the assumptions of no arbitrage and no dominance. Taking an innovative approach based on martingales, the book presents advanced techniques of mathematical finance in a business and economics context, covering a range of relevant topics such as derivatives pricing and hedging, systematic risk, portfolio optimization, market efficiency, and equilibrium pricing models. For applications to high dimensional statistics and machine learning, new multi-factor models are given. This new edition integrates suicide trading strategies into the understanding of asset price bubbles, greatly enriching the overall presentation and further strengthening the book’s underlying theme of economic bubbles. Written by a leading expert in risk management, Continuous-Time Asset Pricing Theory is the first textbook on asset pricing theory with a martingale approach. Based on the author’s extensive teaching and research experience on the topic, it is particularly well suited for graduate students in business and economics with a strong mathematical background.

Dynamic Term Structure Modeling

Author : Sanjay K. Nawalkha
Publisher : John Wiley & Sons
ISBN 13 : 0470140062
Total Pages : 722 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Dynamic Term Structure Modeling by : Sanjay K. Nawalkha

Download or read book Dynamic Term Structure Modeling written by Sanjay K. Nawalkha and published by John Wiley & Sons. This book was released on 2007-05-23 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for Dynamic Term Structure Modeling "This book offers the most comprehensive coverage of term-structure models I have seen so far, encompassing equilibrium and no-arbitrage models in a new framework, along with the major solution techniques using trees, PDE methods, Fourier methods, and approximations. It is an essential reference for academics and practitioners alike." --Sanjiv Ranjan Das Professor of Finance, Santa Clara University, California, coeditor, Journal of Derivatives "Bravo! This is an exhaustive analysis of the yield curve dynamics. It is clear, pedagogically impressive, well presented, and to the point." --Nassim Nicholas Taleb author, Dynamic Hedging and The Black Swan "Nawalkha, Beliaeva, and Soto have put together a comprehensive, up-to-date textbook on modern dynamic term structure modeling. It is both accessible and rigorous and should be of tremendous interest to anyone who wants to learn about state-of-the-art fixed income modeling. It provides many numerical examples that will be valuable to readers interested in the practical implementations of these models." --Pierre Collin-Dufresne Associate Professor of Finance, UC Berkeley "The book provides a comprehensive description of the continuous time interest rate models. It serves an important part of the trilogy, useful for financial engineers to grasp the theoretical underpinnings and the practical implementation." --Thomas S. Y. Ho, PHD President, Thomas Ho Company, Ltd, coauthor, The Oxford Guide to Financial Modeling

Advanced Financial Risk Management

Author : Donald R. Van Deventer
Publisher : John Wiley & Sons
ISBN 13 : 1118278550
Total Pages : 834 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Advanced Financial Risk Management by : Donald R. Van Deventer

Download or read book Advanced Financial Risk Management written by Donald R. Van Deventer and published by John Wiley & Sons. This book was released on 2013-02-06 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical tools and advice for managing financial risk, updated for a post-crisis world Advanced Financial Risk Management bridges the gap between the idealized assumptions used for risk valuation and the realities that must be reflected in management actions. It explains, in detailed yet easy-to-understand terms, the analytics of these issues from A to Z, and lays out a comprehensive strategy for risk management measurement, objectives, and hedging techniques that apply to all types of institutions. Written by experienced risk managers, the book covers everything from the basics of present value, forward rates, and interest rate compounding to the wide variety of alternative term structure models. Revised and updated with lessons from the 2007-2010 financial crisis, Advanced Financial Risk Management outlines a framework for fully integrated risk management. Credit risk, market risk, asset and liability management, and performance measurement have historically been thought of as separate disciplines, but recent developments in financial theory and computer science now allow these views of risk to be analyzed on a more integrated basis. The book presents a performance measurement approach that goes far beyond traditional capital allocation techniques to measure risk-adjusted shareholder value creation, and supplements this strategic view of integrated risk with step-by-step tools and techniques for constructing a risk management system that achieves these objectives. Practical tools for managing risk in the financial world Updated to include the most recent events that have influenced risk management Topics covered include the basics of present value, forward rates, and interest rate compounding; American vs. European fixed income options; default probability models; prepayment models; mortality models; and alternatives to the Vasicek model Comprehensive and in-depth, Advanced Financial Risk Management is an essential resource for anyone working in the financial field.

Mortgage Valuation Models

Author : Andrew S. Davidson
Publisher : Oxford University Press, USA
ISBN 13 : 0199998167
Total Pages : 465 pages
Book Rating : 4.1/5 (999 download)

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Book Synopsis Mortgage Valuation Models by : Andrew S. Davidson

Download or read book Mortgage Valuation Models written by Andrew S. Davidson and published by Oxford University Press, USA. This book was released on 2014 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Valuation of mortgage-backed securities requires blending empirical analysis of borrower behavior and mathematical modeling of interest rates and home prices, with recognition of various prices of risk and uncertainty. This book offers a detailed description of the sophisticated theories and advanced methods used for the real-world valuation of MBS.

JER

Author :
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis JER by :

Download or read book JER written by and published by . This book was released on 2001 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Financial Mathematics

Author : Giuseppe Campolieti
Publisher : CRC Press
ISBN 13 : 0429889097
Total Pages : 662 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Financial Mathematics by : Giuseppe Campolieti

Download or read book Financial Mathematics written by Giuseppe Campolieti and published by CRC Press. This book was released on 2022-12-21 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has been tested and refined through years of classroom teaching experience. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. This textbook provides complete coverage of continuous-time financial models that form the cornerstones of financial derivative pricing theory. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. Key features: In-depth coverage of continuous-time theory and methodology Numerous, fully worked out examples and exercises in every chapter Mathematically rigorous and consistent, yet bridging various basic and more advanced concepts Judicious balance of financial theory and mathematical methods Guide to Material This revision contains: Almost 150 pages worth of new material in all chapters A appendix on probability theory An expanded set of solved problems and additional exercises Answers to all exercises This book is a comprehensive, self-contained, and unified treatment of the main theory and application of mathematical methods behind modern-day financial mathematics. The text complements Financial Mathematics: A Comprehensive Treatment in Discrete Time, by the same authors, also published by CRC Press.

Encyclopedia of Financial Models

Author : Frank J. Fabozzi
Publisher : John Wiley & Sons
ISBN 13 : 1118539958
Total Pages : 3180 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Encyclopedia of Financial Models by : Frank J. Fabozzi

Download or read book Encyclopedia of Financial Models written by Frank J. Fabozzi and published by John Wiley & Sons. This book was released on 2012-10-15 with total page 3180 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential reference dedicated to a wide array of financial models, issues in financial modeling, and mathematical and statistical tools for financial modeling The need for serious coverage of financial modeling has never been greater, especially with the size, diversity, and efficiency of modern capital markets. With this in mind, the Encyclopedia of Financial Models, 3 Volume Set has been created to help a broad spectrum of individuals—ranging from finance professionals to academics and students—understand financial modeling and make use of the various models currently available. Incorporating timely research and in-depth analysis, the Encyclopedia of Financial Models is an informative 3-Volume Set that covers both established and cutting-edge models and discusses their real-world applications. Edited by Frank Fabozzi, this set includes contributions from global financial experts as well as academics with extensive consulting experience in this field. Organized alphabetically by category, this reliable resource consists of three separate volumes and 127 entries—touching on everything from asset pricing and bond valuation models to trading cost models and volatility—and provides readers with a balanced understanding of today's dynamic world of financial modeling. Frank Fabozzi follows up his successful Handbook of Finance with another major reference work, The Encyclopedia of Financial Models Covers the two major topical areas: asset valuation for cash and derivative instruments, and portfolio modeling Fabozzi explores the critical background tools from mathematics, probability theory, statistics, and operations research needed to understand these complex models Organized alphabetically by category, this book gives readers easy and quick access to specific topics sorted by an applicable category among them Asset Allocation, Credit Risk Modeling, Statistical Tools 3 Volumes onlinelibrary.wiley.com Financial models have become increasingly commonplace, as well as complex. They are essential in a wide range of financial endeavors, and this 3-Volume Set will help put them in perspective.

The Handbook of European Fixed Income Securities

Author : Frank J. Fabozzi
Publisher : John Wiley & Sons
ISBN 13 : 0471649511
Total Pages : 1026 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis The Handbook of European Fixed Income Securities by : Frank J. Fabozzi

Download or read book The Handbook of European Fixed Income Securities written by Frank J. Fabozzi and published by John Wiley & Sons. This book was released on 2004-02-03 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: A well-rounded guide for those interested in European financial markets With the advent of the euro and formation of the European Union, financial markets on this continent are slowly beginning to gain momentum. Individuals searching for information on these markets have come up empty-until now. The Handbook of European Fixed Income Markets is the first book written on this burgeoning market. It contains extensive, in-depth coverage of every aspect of the current European fixed income markets and their derivatives. This comprehensive resource includes both a qualitative approach to products, conventions, and institutions as well as quantitative coverage of valuation and analysis of each instrument. The Handbook of European Fixed Income Markets introduces readers to developed markets such as the U.K., France, Germany, Italy, Spain, and Holland, as well as emerging markets in Eastern Europe. Government and corporate bond market instruments and institutions are also discussed. U.S.-based investors, researchers, and academics as well as students and financial professionals in other parts of the world will all turn to this book for complete and accurate information on European financial instruments and markets. Frank J. Fabozzi (New Hope, PA) is a financial consultant, the Editor of the Journal of Portfolio Management, and Adjunct Professor of Finance at Yale University's School of Management. Moorad Choudhry (Surrey, UK) is a Vice President with JPMorgan Chase structured finances services in London.

Interest Rate Dynamics, Derivatives Pricing, and Risk Management

Author : Lin Chen
Publisher : Springer Science & Business Media
ISBN 13 : 364246825X
Total Pages : 158 pages
Book Rating : 4.6/5 (424 download)

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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.