Book Description
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 several new chapters. 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 new chapters. 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.
Customer Reviews:
Best book on interest rate models.......2002-12-14
This is the best book available on interest rate models. Very detailed. Much more focused and readable than Rebonato's book. More pragmatic and explicit than Musiela and Rutkowski. Not as theoretical as Hunt and Kennedy. James and Webber also looks very good, but I'm not that familiar with it. All other books have only bits and pieces on interest rates.
The best book I have read on the subject.......2002-05-06
With all the due respect to the other authors I would say that if one is interested in a good theoretical book whihc is also good on the implementation side then the book of Brigo and Mercurion is definetly the best book I have ever read on the subject.
Anyone interested in implementing the LMM/BGM/MSS model in practice is well advised to read it.
I would just say that this is certainly a must have in the field.
New stuff and nice overview: hard to beat!.......2002-01-17
In the late nineties I went through Brigo's innovative work on stochastic nonlinear filtering with differential geometry techniques. I was favorably impressed by results and style, particularly in his dissertation and in his 'geometry in present day science' very readable overview. Interesting results are found and nicely told with accurate - but not pointlessly complicated - advanced mathematics for the problems at hand, I reasoned.
I've followed a similar path from control to finance, and having worked with interest rate models, I couldn't help but order this Brigo-Mercurio book. I had high expectations 'cause these two guys are working in a bank on the real thing.
Sure enough I'm not disappointed.
1-factor models are handled with great care, a ton of formulas and recipes are given. I've never seen this kind of analysis of pricing with Gaussian 1-f models. The new upgrade of the CIR model is interesting and accurate. "CIR++" is now my favorite 1-f model. I like the treatment of lognormal 1-f models and the explanation of Monte Carlo and trees -- the flow-chart for Bermudan swaptions is crystal clear! Plots of market implied structures and volatility calibration are useful additions.
The chapter on 2-f extensions has one of the best discussions on volatility, and two tons of useful formulas/recipes. Two dimensional trees!
The HJM chapter size is OK. I agree - the useful models embedded in HJM are short rate models and market models.
Market models - these three chapters alone are worth the book. You'll find yourself nodding as you read the guided tour. They make it look easy all the time. The exposition is focused, clear, intuitive, detailed. There's also new stuff, just check the calibration discussion! Smile modeling begins with a brilliant tour and ends with Brigo-Mercurio's new approach - the mixing dynamics - deserving a whole chapter if expanded.
The detailed explanation on products is a much welcome original addition. Cross currency derivatives!
Quotes - as in Brigo's old work - are a pleasant diversion while reading. The 500 and more pages are a treat given the competitive price.
Still there's room for improvements - more "CIR2++"! Something on 3-f models. Historical estimation of the correlation matrix and low-rank optimized approximations. Expand smile modeling! More hedging. Something on structured products. Cross currency libor model. chapter 9 - other interest rate models - sounds out of place and can be suppressed for other things.
This book rings true and has useful teachings for students, academics and practitioners. Although it requires some background in stochastic calculus, it's hard to beat on the pricing front. Kudos to Brigo and Mercurio! It only harms there aren't enough books like this.
Nicely written overview of interest rate models.......2001-12-15
This recent book, written by two Italian "quants" Mercurio & Brigo, gives a nice and accessible overview of interest rate models which is a compromise between the practitioner viewpoint, expressed for ex. in Rebonato's book "Interet Rate option models"
and the theoretical viewpoint such as the one in Musiela & Rutkowski.
The authors, themselves PhDs in quantitative finance/ applied maths, wrote this book while working as quants in an Italian bank and this first hand contact with the market gave them a
practical view on the subject which markes this book very interesting.
The book contains a "rational" catalogue of models used in practice ( as opposed to models which are impossible to implement!).
In contrast with academic books on interest rate modeling which deal with HJM formulation, there is a lot of emphasis here on LIBOR and Swap market models
(BGM -Jamshidian models) which reflects the current market practice. This is a positive point since there are not many books with details on implementing and using these "market models".
Part II: Interest rate models in practice is particularly useful because it deals with implementation and calibration which, as any practitioner knows, are important and usually delicate issues.
However calibration issues are dealt with somewhat lightly, especially recent developments on modeling cap/swaption smiles
are not included here.
This book can also be used for a graduate level/PhD course on interest rate models.
There are a lot of numerical examples in the book and mathematics is kept to the necessary level while keeping the
approach both rigorous and understandable.
Overall, it is one of the best books written on the subject.
I highly recommend it to PhD students, quants and researchers interested in this field.
Well written and useful book.......2001-11-04
In my humble opinion, this is the best book on Interest Rate modeling out there. The writing style is clear and focused and the appendices are fantastic. The book is rigorous but someone with some background in Stochastic Calculus will find it easy to follow. If you need refresher, dont worry the authors have you covered, see the appendix on Stochastic Calculus. Not an introductory book. Very exciting book.
Book Description
Based on an enormously popular "derivative instruments and applications" course taught by risk expert Christopher Culp at the University of Chicago, Risk Transfer will prepare both current practitioners and students alike for many of the issues and problems they will face in derivative markets. Filled with in-depth insight and practical advice, this book is an essential resource for those who want a comprehensive education and working knowledge of this major field in finance, as well as professionals studying to pass the GARP FRM exam.
Christopher L. Culp, PhD (Chicago, IL), is a Principal at CP Risk Management LLC and is also Adjunct Professor of Finance at the University of Chicago. He is the author of Corporate Aftershock (0-471-43002-1) and The ART of Risk Management (0-471-12495-8).
Download Description
Based on an enormously popular "derivative instruments and applications" course taught by risk expert Christopher Culp at the University of Chicago, Risk Transfer will prepare both current practitioners and students alike for many of the issues and problems they will face in derivative markets. Filled with in-depth insight and practical advice, this book is an essential resource for those who want a comprehensive education and working knowledge of this major field in finance, as well as professionals studying to pass the GARP FRM exam.
Christopher L. Culp, PhD (Chicago, IL), is a Principal at CP Risk Management LLC and is also Adjunct Professor of Finance at the University of Chicago. He is the author of Corporate Aftershock (0-471-43002-1) and The ART of Risk Management (0-471-12495-8).
Book Description
Quantitative Modeling of Derivative Securities demonstrates how to take the basic ideas of arbitrage theory and apply them - in a very concrete way - to the design and analysis of financial products. Based primarily (but not exclusively) on the analysis of derivatives, the book emphasizes relative-value and hedging ideas applied to different financial instruments. Using a "financial engineering approach," the theory is developed progressively, focusing on specific aspects of pricing and hedging and with problems that the technical analyst or trader has to consider in practice. More than just an introductory text, the reader who has mastered the contents of this one book will have breached the gap separating the novice from the technical and research literature.
Customer Reviews:
A useful introduction to modeling of derivatives.......2002-12-02
This book is written by the two well-known applied mathematicians - Marco Avellaneda of the Courant Institute and Peter Laurence of the University of Rome. Avellaneda has been involved in financial mathematics for a number of years, while Laurence's interest in this subject is more recent. The book can serve as a useful introduction to the quantitative analysis in financial markets. As such, it covers a lot of ground stretching from an exposition of the standard Black-Scholes theory to an interesting description of the HJM framework. In addition to the standard material, it contains several original results developed by the authors themselves. The first printing had so many typos that its study was difficult for a novice. Most of these typos had been corrected in the second printing. In its present form, the book can be strongly recommended to a general reader with interest in the mathematical finance.
A useful introduction to modeling of derivatives.......2002-12-02
This book is written by the two well-known applied mathematicians - Marco Avellaneda of the Courant Institute and Peter Laurence of the University of Rome. Avellaneda has been involved in financial mathematics for a number of years, while Laurence's interest in this subject is more recent. The book can serve as a useful introduction to the quantitative analysis in financial markets. As such, it covers a lot of ground stretching from an exposition of the standard Black-Scholes theory to an interesting description of the HJM framework. In addition to the standard material, it contains several original results developed by the authors themselves. The first printing had so many typos that its study was difficult for a novice. Most of these typos had been corrected in the second printing. In its present form, the book can be strongly recommended to a general reader with interest in the mathematical finance.
Very good treatment of mathematical finance minus the typos.......2002-04-04
This book is no doubt written in haste and typos are galore. I have read this book in its entirety and I highly recommend it. Concepts well covered include Binomial trees, Brownian motion and stochastic calculus, APT, HJM formulation, etc. It is a great stepping stone to get to Duffy's book. A second edition would be a great idea.
Avellaneda's worse performance.......2000-03-23
This is a surprisingly sloppy book written by a known academic in the financial engineering world. That is Marco Avellaneda. At first sight, this book is a good idea. It is suppose to bridge the gap between literature that are too simplified for quants and the high level books that are too mathematically rigorous for pratitioners. However this book is presented in such a sloopy manner that any profit driven company would sack these two authors. There are typo mistakes in almost every page and some fundamental errors. There are numerical examples there are completely wrong. On top of that, who writes a quant book without giving any exercises. The authors should comprehend that mistakes in quantitative books can be very misleading to the reader especially if the reader is trying to learn. If you don't have a Ph.D. in Math, don't read this book. It might do more harm than good.
I wish I could send the book back........2000-03-23
Obviously I followed the wrong review. Those who feel that thetypos are immaterial are misleading. I lost many hours trying tounderstand what the book was doing in many places only to realize that the book was just wrong. So, if you don't have a lot of spare time, and don't wish to be an editor, please do yourself a favor and skip this book. END
Book Description
"Over the past two decades, the mathematically complex models of finance theory have had a direct and wide-ranging influence on finance practice. Nowhere is this conjoining of intrinsic intellectual interest with extrinsic application better exemplified than in derivative-security pricing. The backgrounds of the authors of Options, Futures and Exotic Derivatives fit perfectly this pattern of combining theory and practice and so does their book. The range and depth of subject matter show excellent taste for what is essential to know the field and what is relevant and important to its application in the financial world. In addition to its fine subject-defining, the book delivers on subject-content, with rigorous derivations presented in a clear, direct voice for the serious student, whether academic or practitioner. To the reader: Bon Appetit!" Robert C. Merton, Harvard Business School Long-Term Capital Management, L.P. "One of the merits of this book is that it is self-contained. It is both a textbook and a reference book. It covers the basics of the theory, as well as the techniques for valuation of many of the more exotic derivatives. It contains a detailed knowledge of the field. What is more, however, it is written with a deep understanding of the economics of finance." From the Foreword by Oldrich Alfons Vasicek "The authors have done an admirable job at distilling what is relevant in option research in one single volume. I wish I'd had the chance to read it before writing my own book." Nassim Taleb, veteran option arbitrageur and bestselling author of Dynamic Hedging: Managing Vanilla and Exotic Options "This is a delightful promenade in derivatives land. The book is encyclopaedic yet crisp and inspired. It is the story - told in equations - of the charms and spells of options and their underlying mathematics." Jamil Baz, Head of Financial Strategies, Lehman Brothers Europe Building steadily from the basic mathematical tools to the very latest techniques in exotic options, Options, Futures and Exotic Derivatives covers all aspects of the most innovative and rapidly developing area of international financial markets - the world of over-the-counter and tailor-made derivative asset pricing. Written by a globally renowned team of authors this book offers comprehensive coverage of exotic derivative assets and
* Deals with numerous new forms of exotic options and option pricing
* Provides detailed explanations of different models and numerical methods
* Offers a deep understanding of the economics of finance
With questions and review sections throughout, Options, Futures and Exotic Derivatives provides a thorough introduction to a crucial and expanding area in the world of finance for both finance students and practitioners.
Customer Reviews:
Simply, the options Bible !.......1999-02-10
Although this book has the usual first edition imperfections, it stands out as the best book ever written so far on options and exotic derivatives. It is comprehensive and bears superbly the comparison with the other reference in the field, namely Hull.
Book Description
Finance and Derivatives teaches all of the fundamentals of quantitative finance clearly and concisely without going into unnecessary technicalities. You'll pick up the most important theoretical concepts, tools and vocabulary without getting bogged down in arcane derivations or enigmatic theoretical considerations.
--Paul Wilmott
Finance and Derivatives: Theory and Practice is a collection of exercises accompanied by the relevant financial theory, covering key topics that include: present value, arbitrage pricing, portfolio theory, derivates pricing, delta-hedging and the BlackScholes model.
As well as being ideally placed to complement undergraduate and postgraduate studies, Finance and Derivatives: Theory and Practice is also highly valuable as a self-study guide for practitioners.
Key Features:
* No prior finance background is required, as the book starts with basic notions and gradually increases in difficulty through each chapter, ending with more advanced concepts.
* Students can make progress at their own pace as each chapter includes course notes, exercises and solutions.
* The authors have an excellent knowledge of both the academic environment and the finance industry, making the book well balanced between theory and practice.
* Supplementary material for readers and lecturers is provided on an accompanying website.
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Derivative Instruments: A Guide to Theory and Practice (Quantitative Finance)
Brian Eales , and
Moorad Choudhry
Manufacturer: Butterworth-Heinemann
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ASIN: 0750654198 |
Book Description
The authors concentrate on the practicalities of each class of derivative, so that readers can apply the techniques in practice. Product descriptions are supported by detailed spreadsheet models, illustrating the techniques employed, some which are available on the accompanying CD-ROM.
This book is ideal reading for derivatives traders, salespersons, financial engineers, risk managers, and other professionals involved to any extent in the application and analysis of OTC derivatives.
* Combines theory with valuation to provide overall coverage of the topic area
* Provides worked examples and spreadsheet models on CD ROM to help readers understand derivative instruments and their uses
* Covers all the latest developments in derivatives
Book Description
Derivatives by Paul Wilmott provides the most comprehensive and accessible analysis of the art of science in financial modeling available. Wilmott explains and challenges many of the tried and tested models while at the same time offering the reader many new and previously unpublished ideas and techniques. Paul Wilmott has produced a compelling and essential new work in this field.
The basics of the established theories - such as stochastic calculus, Black-Scholes, binomial trees and interest-rate models - are covered in clear and precise detail, but Derivatives goes much further. Complex models - such as path dependency, non-probabilistic models, static hedging and quasi-Monte Carlo methods - are introduced and explained to a highly sophisticated level. But theory in itself is not enough, an understanding of the role the techniques play in the daily world of finance is also examined through the use of spreadsheets, examples and the inclusion of Visual Basic programs.
The book is divided into six parts:
Part One: acts as an introduction and explanation of the fundamentals of derivatives theory and practice, dealing with the equity, commodity and currency worlds.
Part Two: takes the mathematics of Part One to a more complex level, introducing the concept of path dependency.
Part Three: concerns extensions of the Black-Scholes world, both classic and modern.
Part Four : deals with models for fixed-income products.
Part Five : describes models for risk management and measurement.
Part Six : delivers the numerical methods required for implementing the models described in the rest of the book.
Derivatives also includes a CD containing a wide variety of implementation material related to the book in the form of spreadsheets and executable programs together with resource material such as demonstration software and relevant contributed articles.
At all times the style remains readable and compelling making Derivatives the essential book on every finance shelf.
Customer Reviews:
Great book on PDE approach to derivatives........2003-10-02
This is actually a wonderful introduction to the theory of derivatives and personally I find it to be a little humorous on occasion as well. There is definitely some ego here but it does not interfere with the author's sincere attempt to present the material in such a way that it can be understood easily by anyone with the required math background. That of course is the problem for some: this book requires a fairly extensive math background to be really understood. Fakers may try, but the successful will have a pretty good background in mathematics. That said, the discussion of stochastic calculus is better than many have led the casual onlooker to believe. It is not rigorous but is perfectly sufficient for the subject matter at hand. A good understanding of the material in this book will make the reader truly dangerous in the realms of the PDE theory of derivatives.
A fine introduction from the standpoint of PDEs.......2003-09-26
Financial engineering as a profession has exploded in the last 15 years, and has enlisted the minds of mathematicians, physicists, economists, engineers, as well as course everyday brokers and traders. This book is geared towards a mathematical audience, as one will need a background in the numerical solution of nonlinear partial differential equations and an understanding of stochastic processes (at the level of the Ito calculus). The author does devote a chapter to partial differential equations for readers who need it. Those readers with such a background will find the book very straightforward to read, especially those readers who are mathematicians or physicists, and are desiring to enter into the exciting field of financial engineering. The book is out of print, and an updated collection of books has been written by the author, but this one could still serve as an excellent introduction to the subject. In addition, this book has exercises, while the updated ones do not. Most of the results in the book can be used to develop practical trading strategies, and so the book qualifies more than being a mere academic exercise.
The author's approach is not always rigorous from a mathematical standpoint, but this is fine since the emphasis is on developing insight into the principles behind the subject, such as the principle of arbitrage, the idea of hedging, etc. Early on, the author shows what is involved in removing oneself from the Black-Scholes world, with clear explanations of jump conditions, time-dependent volatility, and path dependency. The discussion on the valuation of American style options using partial is illuminating considering this is typically done with Monte Carlo simulations. Another interesting part of the book is the derivation of the partial differential equation for the market price of volatility risk. In addition, the author gives an overview of how to speculate with options, a topic that is truly removed from the Black-Scholes world, but of course is taken up with enthusiasm by many traders the world over. This discussion is very interesting, in that it sheds light on just how subjective preferences enter into options trading; but it also shows that such preferences can be treated quantitatively. Assuming the asset price follows a random walk, the author derives an equation for the present value of the expected payoff, an equation that differs from the Black-Scholes equation in having the drift rate rather than the interest rate in the delta term. This risk-neutral valuation is dealt with in more detail in the author's discussion on portfolio management.
The author uses spreadsheets and Visual Basic to perform some of the numerical calculations, with many included on the accompanying CD. This is done no doubt to maintain the connection with practical trading. All of the mathematics and numerical studies could be done more efficiently though with a high-level programming language, such as Mathematica or Maple. The graphical capabilities of these languages will allow the reader to view the results of the calculations on-the-fly.
Some omissions in the book include discussions on energy and weather derivatives, but these are covered, although in not too much detail, in the author's more recent books. Also omitted is any discussion on bandwidth markets or derivatives trading in network capacity. This is also a new area, but one that is growing rapidly. Discussion of it will no doubt be included in future books on derivatives.
Not to be passed by any derivative readers.......2003-01-29
I myself find a hard time writing a review about this book, and thus not to be misleaded by the stars I gave. Perhaps what's preventing it from 5 stars is the nature of the task rather than the author's capability.
The book is so comprehensive such that it's going to be very difficult if not impossible to find the book with greater coverage on the subject. The level of discussion should be on the intermediate level or first-year graduate students. A good background on basic derivatives or mathematics ( algebra, differential calculus, and statistics) will proof sufficient in most of the cases to follow the mathematical detivations in the book. Working out the exercises at the end of each section will be a great pleasure to all the derivative students. Unlike many other text books which provided many difficult but interesting exercises but never the solutions elsewhere as if it's the author's intention to keep the secret with themselves forever, the Book's Instructor Manual with the solutions to all the exercises is separately available through the Publisher. However, I feel that the unexperienced readers should spend some time with a more directly accessible derivatives book such as Hull's classic ( Options, Futures, and Derivatives Securities ) before approaching this book. Once this is done, you'll realize that the Author knows the subjects very well and has his interesting ways to take you to a very heart of the concepts.
I think there are 2 limitations of this book that should be put forward. Some mathemetical concept on modern derivative pricing theory such as martingale or measure theory are only scantly touched throughout the book. Yet I have a good perception that it;s the Author's intention to follow his preferred PDE approach on derivatives pricing and to make a book more directly accessible to a practitioners i.e., derivative traders or researchers, rather than the full academic researchers. Also the treatments on interest rate through sufficiently comprehensive, is far from completion. However, the literature on interest rate derivatives is very farflung such that it should be treated in a place of it's own. I myself don't really look at this as a handicap on this book.
All in all, I can't find any good reason why this book shouldn't be on derivatives section shelf.
Wide but lopsided coverage.......2000-09-01
Paul Wilmott's book has an impressive but lopsided coverage. Paul is clearly an expert in numerical solutions of Partial Differential Equations (with a leaning towards non-linear ones, I would guess) and this topic does find useful applications in derivatives valuation. His expositions of techniques and concepts in this area is lucid and helpful. Unfortunately the 'martingale revolution' seems to have by-passed him altogher. Not only he avoids probabilistic techniques and jargon in his treatment (this could be an intelligent choice), but he gives far too scant treatment to very important related concepts - such as the change of numeraire - which have very powerful practical applications and are coneptually very far reaching. Similalry, the treatment of interest rate models is far too centered on the 'traditional' approaches, to the detriment of a serious analysis of such approaches as the BGM (in this context, I found his dismissive commnents about his colleagues in poor taste). The book would have been very good in the early 90s. Finance has moved on too much, though, for such as weeping title as 'Derivatives' to be warranted today.
THE DERIVATIVE BOOK.......2000-07-31
Paul Wilmott's passion for derivatives / quantitative finance is fantastic. It's a great pleasure to read his book. Not only does he cover a vast range of topics (50 chapters), but he also presents it with loads of examples. Paul's addition of Excel Visual Basic formulas plus the wide range of references make it the book on financial engineering. It's very rare to find people who can explain such a technical topic in such a individualistic style (reminds me of Richard Feynmann who explained quantum theory without maths).
It's still very technical though, be reminded that Paul is a mathematician, so readers who are looking for a non math book on derivatives are well advised to look for another book (e.g. Kolb).
Book Description
This book brings together in one volume both a complete, rigorous and yet readable account of the mathematics underlying derivative pricing and a guide to applying these ideas to solve real pricing problems. It is aimed at practitioners and researchers who wish to understand the latest finance literature and develop their own pricing models. The authors' combination of strong theoretical knowledge and extensive market experience make this book particularly relevant for those interested in real world applications of mathematical finance.
Features:
- detailed coverage of interest rate derivatives, from 'vanilla' instruments through to many of the more exotic products currently being traded
- overview of popular term structure models along with their relationships to each other (including Heath-Jarrow-Morton, short rate models and the latest market models)
- explanation of numeraires as a modelling and pricing tool
- pricing models for constant maturity swaps and other convexity products
- models and efficient algorithms for path-dependent and Bermudan swaptions
- insights into how to go about pricing products beyond those treated in the text
- accessible yet rigorous treatment of the stochastic calculus required for option pricing
Download Description
The term Financial Derivative is a very broad term which has come to mean any financial transaction whose value depends on the underlying value of the asset concerned. Sophisticated statistical modelling of derivatives enables practitioners in the banking industry to reduce financial risk and ultimately increase profits made from these transactions.
The book originally published in March 2000 to widespread acclaim. This revised edition has been updated with minor corrections and new references, and now includes a chapter of exercises and solutions, enabling use as a course text.
- Comprehensive introduction to the theory and practice of financial derivatives.
- Discusses and elaborates on the theory of interest rate derivatives, an area of increasing interest.
- Divided into two self-contained parts ¿ the first concentrating on the theory of stochastic calculus, and the second describes in detail the pricing of a number of different derivatives in practice.
- Written by well respected academics with experience in the banking industry.
A valuable text for practitioners in research departments of all banking and finance sectors. Academic researchers and graduate students working in mathematical finance.
Customer Reviews:
Erroneous comments below.......2005-03-10
I don't know why the previous reviewer said the book contains no mathematical proofs, but this statement is completely false. I have the book in front of me here, and it looks like all the theorems are accompanied with complete proofs. I don't mean to provide a complete review here, but the contents looks good, and so does the choice of topics. It certainly deserves more than 2 stars. While the level of mathematical sophistication is not that of Karatzas & Shreeve's, it is certainly above the level of a lot of prople in finance except those with a mathematical background. For a simpler book you may want to read Hull or something else (you have about 500,000 other books to choose from, isn't that great?)
Yet another textbook on mathematical finance.......2003-07-29
This volume is yet another textbook on mathematical finance (a branch of mathematics, as opposed to quantitative finance/ financial engineering) and does not contain much original material except a good exposition of LIBOR and swap market models in the second part.
The book is divided into two parts, Theory and Pratice.
The theory part is a course on stochastic processes and stochastic integration: martingales, local martingales, semimartingales, Ito integrals and Ito formulas are developed with a high level of mathematical rigor. This part is definitely not accessible to a non mathematician. On the other hand it does not contain anything new and most proofs are not given...
The second part is about applications to finance, but it is focused on interest rate models, which seems to be the expertise of the authors. LIBOR and swap market models and interest rate derivatives are explained in detail but only at a theoretical level; the subtitles on "calibration" do not contain any useful material not is there a single numerical or empirical example of market data/ model calibration. Monte Carlo simulation, finite difference methods and tree methods are not even discussed...
The relation between the two parts is not clear: it seems that one author wrote the first part while the author wrote the second part...for example, the first part takes great care to distinguish predictable and optional processes and to define integrals of predictable processes while the second part only uses continuous models for which this distinction is useless.
Also, the first part develops the Kunita Watanabe decomposition and studies sets of martingale measure and their extremal elements, a prelude to the study of incomplete markets.
These tools are not put to use in the second part.
It could be a good reading for graduate students in probability curious to know about mathematical finance but not to professionals in this field.
well written and relevant.......2000-06-20
The book "Financial Derivatives in Theory and Practice" by P.J. Hunt and J.E. Kennedy is yet another textbook on modern mathematics of finance. Although the market seems to be saturated by countless texts on the subject, this book appears to be an original and valuable contribution to the current literature.
The book is divided into two parts: Theory (212 pages) and Practice (159 pages). The first part surveys the mathematics of no-arbitrage pricing theory. It starts by a succinct and rigorous account on stochastic calculus (including basic properties on Wiener process, theory of martingales, and a complete development of stochastic integration w.r.t. continuous semimartingales), written in the spirit of the monograph by Revuz and Yor. The section on SDEs is particularly detailed and covers many topics (e.g. strong and weak solutions, description of the Yamada-Watanabe construction) that are not typically found in texts on finance. All technicalities are treated with due care, and some parts of the text are accompanied with exercises. The first part concludes with two sections on pricing by no-arbitrage and term structure models. Overall this part of the book is masterfully written and it is certain to please a mathematically-inclined reader (I'm not sure about the others).
The second part deals with application of the theory in pricing, with emphasis on interest-rate derivatives. After starting off with an interesting discussion about the real-world modelling issues (risk-free vs. "real-world" probability measure, calibration and dimension reduction), the authors introduce basic fixed income instruments (FRAs, caps, floors, swaps, etc) and proceed by developing no-arbitrage pricing using the standard Black's formula. The next four sections containing material on pricing exotic European derivatives largely follow authors' previously published papers. The book concludes with several sections on pricing exotics and path-dependent derivatives that start with a nice accounts on short-rate (Vasicek-Hull-White) model and market models. The treatment of the latter also gives a systematic development of the drift correction factors for various choices of numeraires. The last section on Markov functional modelling follows one of the authors' papers. One detail that is obviously missing from this part is the treatment of hedging of interest-rate derivatives. Also additional comparisons between existing and the Markov functional model seem to be in order.
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GLOBAL DERIVATIVES: Products, Theory And Practice
Manufacturer: World Scientific Publishing Company
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ASIN: 9812566899 |
Product Description
This book provides a broad description of the financial derivatives business from a practitioner's point of view, with a particular emphasis on fixed income derivatives, a specific development on fixed income derivatives and a practical approach to the field. With particular emphasis on the concrete usage of mathematical models, numerical methods and the pricing methodology, this book is an essential reading for anyone considering a career in derivatives either as a trader, a quant or a structurer.
Books:
- International Building Code 2003 (International Building Code)
- Introduction to Management Science
- Introduction to the Mathematics of Financial Derivatives
- Long/Short Market Dynamics: Trading Strategies for Today's Markets (Wiley Trading)
- Managing a Consumer Lending Business
- Marketing Research: An Aid to Decision Making
- Martingale Methods in Financial Modelling (Stochastic Modelling and Applied Probability)
- Mastering the Trade (McGraw-Hill Trader's Edge)
- Mathematics for Finance: An Introduction to Financial Engineering (Springer Undergraduate Mathematics Series)
- Mergers & Acquisitions
Books Index
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