Book Description
A groundbreaking collection on currency derivatives, including pricing theory and hedging applications.
"David DeRosa has assembled an outstanding collection of works on foreign exchange derivatives. It surely will become required reading for both students and option traders."-Mark B. Garman President, Financial Engineering Associates, Inc. Emeritus Professor, University of California, Berkeley.
"A comprehensive selection of the major references in currency option pricing."-Nassim Taleb. Senior trading advisor, Paribas Author, Dynamic Hedging: Managing Vanilla and Exotic Options.
"A useful compilation of articles on currency derivatives, going from the essential to the esoteric."-Philippe Jorion Professor of Finance, University of California, Irvine Author, Value at Risk: The New Benchmark for Controlling Market Risk.
Every investment practitioner knows of the enormous impact that the Black-Scholes option pricing model has had on investment and derivatives markets. The success of the theory in understanding options on equity, equity index, and fixed- income markets is common knowledge. Yet, comparatively few professionals are aware that the theory's greatest successes may have been in the derivatives market for foreign exchange. Perhaps this is not surprising because the foreign exchange market is a professional trading arena that is closed virtually to all but institutional participants. Nevertheless, the world's currency markets have proven to be an almost ideal testing and development ground for new derivative instruments.
This book contains many of the most important scientific papers that collectively constitute the core of modern currency derivatives theory. What is remarkable is that each and every one of these papers has found its place in the real world of currency derivatives trading. As such, the contributing authors to this volume can properly claim to have been codevelopers of this new derivatives market, having worked in de facto partnership with the professional traders in the dealing rooms of London, New York, Tokyo, and Singapore.
The articles in this book span the entire currency derivatives field: forward and futures contracts, vanilla currency puts and calls, models for American exercise currency options, options on currencies with bounded exchange rate regimes, currency futures options, the term and strike structure of implied volatility, jump and stochastic volatility option pricing models, barrier options, Asian options, and various sorts of quanto options.
Customer Reviews:
Excellent choice of papers!.......2001-08-18
DeRosa has picked excellent papers. If one reads the papers in detail, the currency derivatives literature, as well as related derivatives literature, becomes very easy to understand.
Comprehensive.......1999-06-19
This book presents highly technical papers on diverse topics from variuous academics. It would be very helpful to anyone looking to understand theoretical aspects of FX derivatives. Since most papers are written by different authors, notation is not consistent. In addition, academics do not always write like Hemingway. Nevertheless, the book covers everyhting from vanillas to exotics very well.
Book Description
Since its introduction in the early 1980s, the risk-neutral valuation principle has proved to be an important tool in the pricing and hedging of financial derivatives. Following the success of the first edition of ‘Risk-Neutral Valuation’, the authors have thoroughly revised the entire book, taking into account recent developments in the field, and changes in their own thinking and teaching. In particular, the chapters on Incomplete Markets and Interest Rate Theory have been updated and extended, there is a new chapter on the important and growing area of Credit Risk and, in recognition of the increasing popularity of Lévy finance, there is considerable new material on: · Infinite divisibility and Lévy processes · Lévy-based models in incomplete markets Further material such as exercises, solutions to exercises and lecture slides are also available via the web to provide additional support for lecturers.
Customer Reviews:
Good mix.......2001-12-03
I have read this book... from a learning perspective of trying to learn what the theory behind options pricing is it is a great book. A lot of more recent topics are missing, but as a starter book for those who already price options/work in the industry without having learned all the theory (or in my case forgotten what they learned in school) it is a great read and a great reference.
Excellent and brief compendium of financial theory.......2000-10-18
This book covers quite a few fields (axiomatic probability, stochastic processes, financial theory) to the extent that they relate to valuation of securities. Naturally, the scope of coverage in such a brief tome (
< 300 p.) is limited. It is written clearly and with precision, with sufficient number of exercises provided at chapters' ends. I would say that it goes to greater depth than Neftci, and is far more rigorous than Wilmott. Incomparably easier to understand than Merton. The only shorcomings I can find are relative paucity of examples and inadequate Index.
Probabilistic approach to derivatives valuation.......2000-04-24
The language of financial derivatives is, arguably, the language of the modern theory of martingale stochastic processes. In this approach pricing contingent claims is reduced to finding an "equivalent martingale measure". Practitioners would think in terms of risk adjusted or risk neutral valuation. To understant this topic from an abstract and rigorous point of view is a daunting task restricted to a relatively small elite. For those seeking to learn the mechanics of this discipline a good foundation is well provided by the texts from Hull, Options, Futures and Other Derivatives, as well as Jarrow & Turbull, Derivatives Securities. These books present the intuition behind the formulas and how to use them in practical situations, but they do not show where the formulas come from and much less the mathematics necessary to prove them. Before the book under review was published, this task was attempted by other authors with mixed degrees of success. Here we briefly mention three of them. Baxter and Rennie's Financial Calculus (233 pages) is written in an informal fashion about deep mathematics and one has the feeling that the essence of the topics covered can be grasped and understood from it. However, behind this innocent style there is a huge amount of sophisticated machinery that, in my opinion, should have in part been presented in more detail. An instructor is left with the feeling that it could have been much more profitable to work a bit harder on the students and give them a more complete picture of the theory. Next comes Neftci's Mathematics of Financial Derivatives (352 pages). Its language is more accessible than Baxter and it gives a more detailed and extensive description on most topics. Mathematically, though, it falls short of current usage and rigour. The book by Musiela & Rukowski, Martingale Methods in Financial Modelling (511 pages), is far more difficult than any of these and should be read and understood only by a few. It requires previous knowledge of stochastic processes at the level of, for example, Probability with Martingales by D. Williams. The book under review is an excellent text for courses and for individual readers with a modest background in probability. There is no compromise with mathematical language and concepts. They are presented precisely and illustrated by examples without the burden of more technical theorem-proving approach in advanced mathematical texts. After introducing the idea of derivatives and risk-neutral valuation, it gives a summary of modern probability theory including measure, integral, conditional expectation, modes of convergence, characteristic functions and the Central Limit Theorem. This sets the framework for the rest of the book. Stochastic processes and finance in discrete time are not pre-requites for the much more complicated continuous time but serve as a pedagogical preparation for it. The Third and Fourth Chapters are dedicated to the discrete case and key concepts are carefully analysed. Information and filtrations are discussed as well as the important random walk processes as a motivation for the Brownian Motion. The culmination of these efforts is the proof of the Fundamental Theorem of Asset Pricing: in an arbitrage-free complete market there exists a unique equivalent martingale measure. A very readable discussion on binomial trees is given, including the proof that in the limit of small time increments one recovers from it the usual Black-Scholes formula for a call option. Chapters Five and Six are dedicated to stochastic processes and finance in continuous time. This includes filtrations, a sketch for the construction of Brownian Motion, quadratic variation of Brownian Motion, stochastic integrals and Ito calculus, stochastic differential equations, etc. A continuous version of the Fundamental Theorem is discussed but not proven. The main formula for risk-neutral valuation in terms of expected values is proven. A general result about the relationship with other approaches is that solutions to partial differential equations have a stochastic representation in terms of expected values (Feynman-Kac Formula). On p. 211 a discussion is presented regarding our knowledge concerning continuous time securities market in comparison to the discrete case.
If you are really interested in understanding the probabilistic foundations of modern financial derivatives theory, please consider seriously this book. Another reference, in the same spirit that I recommend is the excellent notes from Shreve, Stochastic Calculus and Finance, which is not yet in book form. After reading the text by Bingham and Kiesel you will gain a solid background well worth the effort and will be able to read profitably most of the contemporary texts and articles on this subject.
Book Description
This long-awaited book aims at a rigorous mathematical treatment of the theory of pricing and hedging of derivative securities by the principle of 'no arbitrage'. The first part presents a relatively elementary introduction, restricting itself to the case of finite probability spaces. The second part consists of an updated edition of seven original research papers by the authors, which analyse the topic in the general framework of semi-martingale theory.
Average customer rating:
- Learn continuous-time finance from this book!
- Nielsen is simply amazing
- Excellent textbook
- The mathematical finance book to own.
- A book that can help you break the entry barrier..
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Pricing and Hedging of Derivative Securities
Lars Tyge Nielsen
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Stochastic Calculus for Finance II: Continuous-Time Models (Springer Finance)
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Martingale Methods in Financial Modelling (Stochastic Modelling and Applied Probability)
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Financial Calculus : An Introduction to Derivative Pricing
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Arbitrage Theory in Continuous Time (Oxford Finance)
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Introduction to the Mathematics of Financial Derivatives
ASIN: 0198776195 |
Book Description
The theory of pricing and hedging of derivative securities is mathematically sophisticated. This book is an introduction to the use of advanced probability theory in financial economics, presenting the necessary mathematics in a precise and rigorous manner. Professor Nielsen concentrates on three main areas: the theory of continuous-time stochastic processes, a notorious barrier to the understanding of probability theory in finance; the general theory of trading, pricing, and hedging in continuous time, using the martingale approach; and a detailed look at the BlackScholes and the Gaussian one-factor models of the term structure of interest rates. His book enables the reader to read the journal literature with confidence, apply the methods to new problems, or to do original research in the field.
Customer Reviews:
Learn continuous-time finance from this book!.......2003-02-22
Learn continuous time finance from this book: you won't be disappointed. I have read almost all the most famous finance books and I must say that this is by far the best one of them. Although somewhat limited in scope, it is masterfully written: everything is explained clearly and carefully. All statements are rigorously proved. I would say it is suitable both for beginners, having a minimum exposure to measure-theoretic probability and willing to spend some time on it, and for advanced students. Personally, I first read the book as a beginner and found it extremely useful, but even now, that I understand and know most of the material, I find it to be an invaluable reference. The level of mathematical sophistication is quite high, so don't expect anything like Neftci, Baxter and Rennie, Mikosch or Bjork. The level is the same of Duffie, but, while Duffie presents a lot of material and most of the time he doesn't provide proofs and explanations (which, personally, I find irritating), this book is limited to few selected topics, but they are explained at length.
Unfortunately, the perfect finance book has not yet been written (finance professionals seem to be too busy and well paid to write good books), but this one is almost perfect. If you really want to understand quantitative finance, I strongly recommend that you invest a good amount of hours in studying this book. Two good books to acompany this one might be Resnick's book on probability and Steele's book on stochastic calculus.
Nielsen is simply amazing.......2001-09-28
Nielsen has written a virtually self-contained treatise on the subject. Reading this book was a beautiful learning experience: The author's clarity of thought was striking; the examples made particular points transparent; and the exercises made invaluable contributions to understanding.
The three appendices (on measure and probability, the Lebesque integral, and the heat equation), and the first three chapters make the book as self-contained as is possible.
Synopsis: I do not know of a better book on this subject.
Excellent textbook.......2000-11-25
This is an excellent textbook on financial mathematics. It is quite mathematical, but self contained, clearly and carefully written. The appendices are very well written condensed reviews of basic technical facts. The book also contains discussions of a topics that I've never seen anywhere else, such as "Arbitrage and Admissibility" and "The doubling strategy". As mentioned in the preface, the book is based on a doctoral-level course, and the author clearly had the benefit of a large amount of feedback from students. Reading it, one can't help notice the presence of a very large number of extra remarks and hints, inserted on every page in order to clarify what must have been a denser original text. Finally, I have to mention the excellent editorial work done by Oxford University Press in producing this book, as compared to similar books published by Wiley.
The mathematical finance book to own........2000-06-29
This book is excellent. As anyone interested in this field knows, there is a lot of high-level math. The author has included several appendices which cover the required background, and he only includes proofs that are helpful to overall understanding. All theorems without proofs have references to the standard math texts.
In comparison to other texts, it does not leave many important ideas to intuition like Neftci's book. Baxter & Rennie is better than Neftci, but not as good as Elliot & Kopp or Lamberton & Laperyre. All of the above I have studied to some extent, and Nielsen's book seemed to include all that these did AND to fill in the gaps. This is the first book I have seen to actually define 'numeraire'.
Make no mistake, to truly understand this material one has to make an investment in learning a good amount of math. The texts I recommend for real analysis are Royden (tops among all for ease and clarity) and Folland (more comprehensive, but very well written); for probability I recommend Resnick's new book which includes a good chapter on discrete-time martingales (much more readable than Chung) and the legendary text by Billingsley.
If you are willing to learn about 4 chapters of Royden and keep Resnick at your side, then this is the only book you need. If not, then start with Baxter and Rennie.
A book that can help you break the entry barrier.........2000-05-10
I read it with Rudin's"Principle of Mathematical Analysis" & Royden's "Real Analysis" by self-study.In my view,you can replace Lamberton & Lapeyre with it.It is rigorous yet accessible for non-math major who is interested in derivatives pricing but frustrated with the high-level mathematics.Buy it and read it with your patience.It won't make you disappointed.
Average customer rating:
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Hedging With Trees Advances in Pricing and Risk Managing Derivatives
Manufacturer: Risk Books
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Binding: Paperback
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ASIN: 1899332022 |
Book Description
*An edited compilation of the best technical articles published in RISK magazine from 1995-98 *Developments in exotic options, interest rate modelling, and computational techniques *Advances in market risk, VAR and capital management *Original introductory overviews by Mark Broadie and Paul Glasserman
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Options on Foreign Exchange (Wiley Series in Financial Engineering)
Mathematical Methods for Foreign Exchange: A Financial Engineer's Approach
Dynamic Hedging: Managing Vanilla and Exotic Options (Wiley Finance)
FX Options and Structured Products (The Wiley Finance Series)
mastering foreign exchange & currency options: a practical guide to the new marketplace (2nd Edition) (Financial Times Series)
