Book Description
In the 2nd edition some sections of Part I are omitted for better readability, and a brand new chapter is devoted to volatility risk. As a consequence, hedging of plain-vanilla options and valuation of exotic options are no longer limited to the Black-Scholes framework with constant volatility.
The theme of stochastic volatility also reappears systematically in the second part of the book, which has been revised fundamentally, presenting much more detailed analyses of the various interest-rate models available: the authors' perspective throughout is that the choice of a model should be based on the reality of how a particular sector of the financial market functions, never neglecting to examine liquid primary and derivative assets and identifying the sources of trading risk associated. This long-awaited new edition of an outstandingly successful, well-established book, concentrating on the most pertinent and widely accepted modelling approaches, provides the reader with a text focused on practical rather than theoretical aspects of financial modelling.
Customer Reviews:
Excellent introductory book to financial math.......2006-11-03
This book takes you through the math of finance step-by-step, passing through very simple examples first and then slowly adding complexity to the models studied. It is written very clearly and the prerequisites to reading this book are only some basic notions of probabilities (sigma-fields, probability measures).
Sometimes, the problem with math books is that they are "dry" and contain only a succession of theorems and proofs. In this one, the authors make a point of explaining in detail how different theorems and models relate to each other, and make extensive comparisons between them so that you get a better feel for how they work in practice.
The book is primarily a math book and can be light on market specifics. Do not buy this book as a practical "howto" in derivatives trading.
At the Forefront of Modern Mathematical Finance.......2005-05-23
This advanced text provides an excellent account of the current state-of-the art of options pricing/hedging models and interest rate term structure models. The book is accessible to both advanced practitioners of mathematical finance as well as to pure researchers in the field.
The book is in written in a mathematical style and contains rigorous proofs of many results. However, the main focus of the text is to describe the frontier of knowledge in the subject. Each section contains copious references to the literature and is so current that several references are to working papers. Many sections detail open problems and other areas suitable for scholarly research.
In their second edition, the authors provide an extremely useful critique of each modeling paradigm that they investigate. They also provide evidence for their position in the form of literature references which instruct the reader as to the shortcomings/limitations of a particular model. This information should prove quite valuable to model practitioners and implementers.
The authors assume an advanced background from the field of stochastic analysis, although they do provide an appendix which summarizes key results needed from the field. For the stochastic calculus prerequisites, I recommend Rogers & Williams "Diffusions, Markov Processes and Martingales" volumes I and II. Suitable prerequisites are also covered by Karatzas and Shreve in "Brownian Motion and Stochastic Calculus" 2nd edition. A good foundation in arbitrage pricing theory is also needed. I recommend the nice treatment by Bjork in "Arbitrage Theory in Continuous Time" 2nd edition.
The book is divided into two parts. The first part deals with options pricing in equity markets. Chapter 1 sets premlinaries required for the arbitrage theoretic framework, while Chapter 2 has a very nice treatment of discrete time models and finite financial markets.
In Chapter 3, the authors develop the Black-Scholes model along with the Bachelier model using arbitrage techniques. The models are compared and used as benchmark continuous time models and form the basis for all subsequent analysis.
Chapter 4 provides a nice survey of techniques used to price/hedge options in foreign equity and currency markets. The authors assume familarity of the basic workings of foriegn markets.
Chapter 5 is a terrific chapter on valuing American-style options. The American call option is thoroughly studied and approximation techniques for the American put option are introduced. The explicit derivations of the formulas are referenced to the literature.
Chapter 6 provides an introduction to exotic options, although the authors vary their use of the term 'exotic' to meaning 'not a standard European-style or American-style' in this chapter to meaning 'no readily available liquid market' in Chapter 7. The descriptions are quite accessible and the basic properties of the options are described along with pricing formulas (assuming the Black-Scholes framework).
Chapter 7 provides as complete an accounting as I have ever seen of the generalizations of the Black-Scholes model and motivates this from the point of view of volatility surfaces. Many of the well-known models are studied in detail, such as CEV, local volatility, and mixture models. The strengths and weaknesses of each model are analyzed. The stochastic volatility models of Wiggins (via Orenstien-Uhlenbeck processes), Hull-White, and Heston are studied, as is the SABR model. The chapter wraps up with a study of the SIV models, describes how the stochastic volatility models can be obtained via limits of GARCH models and surveys Jump-diffusion processes and Levy processes.
The second part of the book is concerned with term structure models and interest rate derivatives. The authors are quite well-know for their many contributions to this study and their treatment is authoritative.
Martingales & Finance.......2003-04-12
I have used this book for two courses in my MSc degree in Financial Maths...well this book is hard to understand at first glance, but, once you are introduced with a good course on stochastic analysis and applied probability, this is an illuminating book...I particularly enjoyed the part on foreing equity derivatives and exotic derivatives.....Harmed with patience this is definitely the book by which you can effectively gain a sound a knowledge on modern mathematical finance theory....reading in conjunction with Bingham-Kiesel book, could help understanding the foundation of the subject.
yes, but ..........2000-03-17
I've been using this book on and off over the last year. At first I was very impressed with the level of detail in the mathematics, especially as it was the only book at the time focussing on risk-neutral methods and covering BGM. But I've become increasing disillusioned with it of late. It's difficult to explain, but although the whole book is written in traditional theorem-proof style, there are no real proofs! (I have a PhD in math and have done research for 10 years so I should know a little about proofs.) The only "proofs" provided are basically symbol shifting, but the heart of the math is strangely absent. This is especially strange given the Springer series in which it appears.
In short, if you want a catalogue of methods this book does the job, but if you want a deeper understanding try Lars Nielsens book.
excellent book for post-John-Hull readers.......1999-08-17
This book covers essentially everything needed for a serious financial math study. It captures the spirit of modern financial math. For people with math, physics or engineering background, when you feel comfortable woth John Hull's books, then this book is right one, and a must one.
Average customer rating:
- Good explained yield curve fitting
- Could have been very good. A new edition could earn 5 stars.
- A real must !
- A must-have encyclopedia on term structure modeling
- Extraordinary
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Interest Rate Modelling: Financial Engineering
Jessica James , and
Nick Webber
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Interest Rate Models - Theory and Practice: With Smile, Inflation and Credit (Springer Finance)
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ASIN: 0471975230 |
Book Description
This book provides a comprehensive resource on all the main aspects of valuing and hedging interest rate products. A series of introductory chapters reviews the theoretical background, pointing out the problems in using naïve valuation and implementation techniques. There follows a full analysis of interest rate models including major categories, such as affine, HJM and market models, and in addition, lesser well known types that include Consol, random field and jump-augmented models. Implementation methods are discussed in depth including the latest developments in the use of finite difference, lattice and Monte Carlo methods and their particular application to the valuation of interest rate derivatives. Containing previously unpublished material.
Interest Rate Modelling is a key reference work both for practitioners developing and implementing models for real and for academics teaching and researching in the field.
Interest Rate Modelling is an encyclopedic treatment of interest rates and their related financial derivatives. It combines advanced theory with extensive and down-to-earth data analysis in a way which is truly unique. For practitioners, students and scholars in the field, this impressive wok will be the standard reference for years to come.", Professor Tomas Bjork, , Stockholm School of Economics#
"...an excellent book. I am particularly pleased by its breadth and range of topics...the reader is provided with an informative and readable exposition.", Dr Farshid Jamshidian, , NetAnalytic#
"I particularly like the strong emphasis on the practicalities and calibration of interest rate models. This book will be invaluable as a comprehensive reference to students, researchers, and practitioners.", Professor Francis Longstaff, , The Anderson School at UCLA#"
This is a carefully written, scholarly but fascinating presentation of the field of Interest Rate Modelling. It combines the best of two worlds: the rigour expected from finance in acamedia with the relevance expected from finance in practice. James and Webber are truly masters of their market since this book is surely a must-buy for both researchers and practitioners. If only all finance books were written with this care and attention to detail.", Dr Neil Johnson, , Clarendon Laboratory, Oxford#
"Today, interest rates are key economic instruments. This is a mammoth treatise and must surely rank as one of the most comprehensive available on the topic. Anyone interested in modelling or simulating the behaviour of interest rates, be they practitioner, economist, mathematician or new entrant to the subject, will find within a wealth of pertinent material.", Professor Peter Richmond, , Trinity College Dublin#
Customer Reviews:
Good explained yield curve fitting.......2005-08-15
List different way of yield curve fitting method, and good explain why B-spline
is good. Also term structure on general manifold is interesting, although a review don't
think it's useful.
Could have been very good. A new edition could earn 5 stars........2005-03-01
While very ambitious and containing some very good material, I think there are too many errors, typos, and gaps in this book. For example, the derivation of equation (3.20) on page 43, a not insignificant result on swap rates, is embarrasingly wrong. They make 2 fundamental errors in equations (3.15) and (3.16) and appear fortunate to arrive at (3.20) which is correct. These errors are not mere typos. Their examples related to the concept of a filtration on top of page 58 appear to be wrong. Elsewhere in the book notation is often used inconsistently and without adequate definition. There are also gaps. For example, when discussing volatility structures in Section 16.1, they use equation (16.6) (which is correct) in a number of examples, but I could not find where they actually derived that equation. (It should have been in the HJM chapter) but was not there.
I like the fact that they wanted to include a chapter on term structures from the macro-economic perspective. Unfortunately this chapter is difficult to read, provides no macroeconomic intuition and again appears to omit too many details. For example, the description of the IS-LM-Phillips model is inadequate and either should be expanded or dropped from future editions. Likewise, the description of the Sommer model is inadequate. Equation (11.3) in the statement of Sommer's Theorem would appears to be wrong at first sight. The left-hand-side of that equation is known by time t, but the right-hand-side would appear to be UNknown by time t. This apparnet contradiction can be explained but the authors never comment on such matters, often making the material more difficult to follow.
Chapter 17 on GMM and MLE methods is quite nice but again, not everything is adequately explained. The examples of Section 17.2.5, for example, seem to assume that certain variables are observable in the market place (e.g. volatility, v_t in equation 17.38) but this seems inapproriate as v_t would generally be unobservable. Indeed this is stated in Chapter 18. Again, however, James and Webber provide no clarification whatsoever of this issue, leaving the reader to wonder what exactly was done.
Some sections are also poorly motivated. For example, Section 16.4, "Processes on Manifolds", in the chapter on Principal Components Analysis is not motivated properly. While the material is quite straightforward to read (though they should define terms like diffeomorphism if they want to use them in a financial engineering text), it is not clear why you need to bring in the language of manifolds and tangency spaces etc. After all, where is this material used in the example of Section 16.4.5? It seems to me that the examples of Section 16.4 are interesting and do lead to new types of term structure models, but that this material could be presented without the jargon of manifolds. Again, I may be wrong but then I would blame the authors for not writing clearly.
A final criticism is that it seems on occasion that the authors are writing about material that they are not particularly familiar with, all for the sake of being encyclopedic. This thought crossed my mind when reading the chapter on Monte Carlo simulation. For example, with reference to equations (13.11)-(13.13) it would have taken very little to point out that Jensen's Inequality implies that some estimated security prices will be biased. Indeed the authors hint at this in the final paragraph on page 350 but do not make the point.
There are many other examples of these errors / typos / gaps in the book. And as far as I know there is no list of errata available.
I will not mention the many good things in this book as other reviewers have already done so. However, I think their praise has been excessive and feel that 3 stars is appropriate.
A real must !.......2001-12-30
As a math grad student who is interested in the term structure modelling, I found that this book is really useful! It just tells you everything about interest rate modelling,not just for the no-arbitrage modelling issue, they even have a chapter about the macroeconomic foundation for interest rate fluctuation! The math used in this book is very concise without too much measure theory twaddle,Everyone who works in this field should have a copy. It's a real must!
A must-have encyclopedia on term structure modeling.......2001-05-26
I have spent a number of years in building & implementing models for interest-rate-dependent claims, but should admit: I learned more from this book. I view it as an encyclopedia on the subject, in which the authors (never heard their names before - what a shame!) have done an excellent job on reviewing hundreds of publications. The theory of term structure modeling has been grown to a separate subject - thanks to Hull and White, Jamshidian, HJM, BGM, Hughston - among main contributors. You can find all methods in one place and in a very accesible form. For example, HJM is described better and simpler than in the author's original paper. Most models are reviewed with practical implementation in mind.
It is not a "first book" on "introduction" on the subject; it is rather a good desk reference for prepared professionals.
Extraordinary.......2001-03-17
There are plenty of books on fixed income mathematics. This one is extraordinary. It is simultaneously practical, theoretically sophisticated and a pleasure to read. The treatment of term-structure models, including HJM, is the most accessible I have seen anywhere. There is a lot of information on yield curve building. This includes both bootstrapping and more recent research in parameterised curves. There are plenty of topics that other books might label "beyond the scope of ...", but James and Webber jump right in, with meaty discussions of the Kalman filter, lattice methods of valuation and GARCH models. Despite all the theory, the authors are always in touch with practical details. They take into account stub dates, and are precise about day counts. These are obviously practitioners!
Book Description
This book teaches the basics of fixed-income securities in a way that, unlike competitive texts, requires a minimum of prerequisites. While other books focus heavily on institutional details of the bond market, all of which could easily be learned “on the job,” Jarrow is more concerned with presenting a coherent theoretical framework for understanding all basic models. His unified approach—the Heath Jarrow Morton model—under which all other models are presented as special cases, enhances understanding while avoiding repetition. The author’s pricing model is widely used in today’s securities industry.
In this revised edition, the author has added new chapters to enrich coverage, and has modified the order of chapters slightly to smooth the progression of material from simple to complex. Online material will be available with the text, replacing the diskette included in the first edition; lecture notes for instructors will be available on PowerPoint slides. MathWorks has provided a free online, limited version of the MATLAB’s financial derivatives toolbox, with which users of the book can apply the theory presented in each chapter.
Customer Reviews:
Incomplete.......2003-12-08
This book is at its best when explaining the theory. Jarrow provides lots of very explicit examples that really help to illuminate the ideas. Unfortunately, the reader is left to fend for himself when it comes to implementing the theory. The author simply breezes over how to estimate and calibrate these models. There is a rich--but abstruse--literature on how to apply HJM models. This book would be greatly improved if it covered this aspect of the topic with the same care and detail as is devoted to the theoretical segment of the book.
Excellent!.......2003-09-27
The book is very good, unquestionably. It provides you with a deep understanding of interest rate models and risk management. Mind you, you need to know the basics of bonds and fixed income contongent claims, before you try this book. The examples are apt, and explanations are succint, and easily understood. The mathematics involved can be mastered easily, and no arcane stuff (like measure-theoretic probability etc.) are used. So, the book will be accessible to MBA students too. This book has helped me understand the subject very well.
required reading in fixed income.......2003-02-11
Excellent job on the detail analysis of fixed income models, accessible to non-mathematician, no stochastic calculus involved. this book is more focused than Tuckman's book. this is absolutely more easy reading than all other fixed income model books out there. read this one, you will be on the way to "martingale methods in financial modelling". also recommend "fixed income analytics".
At last a real well written Book on Interest Rate Modeling!.......2002-08-16
This book will definitely replace all the books on interest rate modeling- Brigo Murcurio etc. The book starts at an elementary level, explains every details of the concept, and then develop the subject matter one needs to know to be a pro in interest rate modeling. Even the simple concepts like duration, convexity are clearly explained that many other books take pages, and even then not very clear. Buy it, Read it! After all you will be learning from a master! The clarity and the writing style are simply great! Good job Prof. Jarrow!
BTW: Neither Prof.Jarrow knows me nor I know him personally
Modelling Fixed Income Securities and Interest Rate Options.......2000-02-29
Bob did an excellant job on Derivative Securities and a horrible job with this book. All the tree pictures packed with discount bond prices, rates and risk neutral prob just confuse people even more. Read Derivative Securities and you would understand how HJM works better.
Book Description
Efficient Methods for Valuing Interest Rate Derivatives provides an overview of the models that can be used for valuing and managing interest rate derivatives. Split into two parts, the first discusses and compares the traditional models, such as spot- and forward-rate models, while the second concentrates on the more recently developed Market models. Unlike most of his competitors, the author's focus is not only on the mathematics: Antoon Pelsser draws on his experience in industry to explore the practical issues, such as the implementation of models, and model selection.
Aimed at people with a solid quantitative background, this book will be of particular interest to risk managers, interest rate derivative traders, quantitative researchers, portfolio and fund managers, and students of mathematics and economics, but it will also prove invaluable to anyone looking for a good overview of interest rate derivative modelling.
Customer Reviews:
Finally... a road map to interest rate models!!!.......2003-08-07
I had a strong background in equity derivative models but found the leap to interest rate models difficult. What are the relationships between short rates, forward rates, and term structure? How do assumptions translate into restrictions on our ability to model the "stylized facts" of interest rates? How are assumption violations "corrected" by practitioners?
This book answers all of these questions in a straightforward yet rigorous manner. Explanations are supplemented with simple examples.
After reading this book, I had the roadmap and analytical context I needed to tackle implementation focused books like Brigo and Mercurio.
As a bonus, this book provides a very nice summary of major valuation tools. (Monte Carlo simulation of martingale processes, development of pricing PDE via Feynman-Kac, development of fundamental solutions, etc.)
Begin your BGM, Libor & Swap market model journey here........2003-03-02
If you want a concise, clearly written and excellently explained introduction to the cutting edge interest rate models used in dealing rooms today. Look no further. With an elementary stochastic calculus background from Rennie & Baxter, this book is very readable, even on a crowded train! For those who want more details & case studies, have Interest Rate Models by Brigo & Mercurio as a companion text. With useful tips on Libor & swap market model implementation, and a whole chapter devoted to convexity correction. One of the best texts on the subject I have read.
Product Description
Written in a straightforward, clearly structured manor with extensive use of worked examples, this easy to use book gives you an explanation of both basic and advanced principles for the valuation of interest rate derivatives and their hedging applications. Interest Rate Derivatives describes: Pricing methods, Application, structuring and valuation of: o Interest rate and Cross currency Swap and o Interest Options Methods of managing interest rate exposure and Trading and hedging strategies and their application in portfolio management. Basic interest rate mathematics are explored and built upon to delve into a more complex development of interest rate derivatives in general. This work is accompanied by a CD and gives you a unique stand-alone product which serves as a major reference guide on interest rate derivatives. The book itself is developed around a user-friendly excel based pricing system helping you to better understand the content by applying the theory to real life pricing. This allows you to use the book as an initial reference or learning tool to see how the maths work and leaves you with a practical calculation tool. We recommend this book for all financial and corporate treasury staff, MBA students, graduates and anyone looking for a mathematical guide to the practical pricing and modelling of interest rate derivatives.
Book Description
One of Riskbook.com's Best of 2005 - Top Ten Finance Books The Libor market model remains one of the most popular and advanced tools for modelling interest rates and interest rate derivatives, but finding a useful procedure for calibrating the model has been a perennial problem. Also the respective pricing of exotic derivative products such as Bermudan callable structures is considered highly non-trivial. In recent studies, author John Schoenmakers and his colleagues developed a fast and robust implied method for calibrating the Libor model and a new generic procedure for the pricing of callable derivative instruments in this model. Within a compact, self-contained review of the requisite mathematical theory on interest rate modelling, Robust Libor Modelling and Pricing of Derivative Products introduces the author's new approaches and their impact on Libor modelling and derivative pricing. Discussions include economically sensible parametrisations of the Libor market model, stability issues connected to direct least-squares calibration methods, European and Bermudan style exotics pricing, and lognormal approximations suitable for the Libor market model. A look at the available literature on Libor modelling shows that the issues surrounding instabilty of calibration and its consequences have not been well documented, and an effective general approach for treating Bermudan callable Libor products has been missing. This book fills these gaps and with clear illustrations, examples, and explanations, offers new methods that surmount some of the Libor model's thornier obstacles.
Customer Reviews:
Good exposition.......2006-05-12
The book is quite technical, but at the same time quite clear. It's definitely a good source to learn from.
Average customer rating:
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Interest Rate, Term Structure, and Valuation Modeling
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Fixed Income Mathematics, 4E
ASIN: 0471220949 |
Book Description
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.
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Handbooks in Mathematical Finance: Option Pricing, Interest Rates and Risk Management
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This handbook presents the current state of practice, method and understanding in the field of mathematical finance. Each chapter, written by leading researchers, starts by briefly surveying the existing results for a given topic, then discusses more recent results and, finally, points out open problems with outlines for possible solutions. The primary audiences for the book are doctoral students, researchers and practitioners who already have some basic knowledge of mathematical finance. This comprehensive reference work will be indispensable to readers who need a quick introduction or references to specific topics within this cutting-edge material.
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Financial sector modelling: Exchange rates and interest rates in the Indian economy
Ila Patnaik
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ASIN: 3790812471 |
Book Description
Real world investors differ in their tastes and attitudes and they do not have, in general, perfect information about the future prospects of the economy. Most theoretical models, however, assume to the contrary that investors are homogeneous and perfectly informed about the market. In this book, an attempt is made to overcome these shortcomings. In three different case studies, the effect of heterogeneous time preferences, heterogeneous beliefs and imperfect information about the economy's growth on the term structure of interest rates are studied. The initial chapter gives an introduction to the theory of financial markets in continuous time under imperfect information and establishes the existence of an equilibrium with complete markets.
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