Derivatives-pricing

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.

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.

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.

This book covers the formulas describing the mathematics of derivatives, and is reminiscent of Paul Willmott's approach. It introduces the basic concepts in a fairly comprehensive. You may wish supplements on practical applications and descriptions of current products. For example, I bought and recommend "Credit Derivatives" by Tavakoli, since I was looking for material on this subject, and this book didn't give any description of the types of products. Schonbucher's book on "Credit Derivatives Pricing Models" is essential when you've moved beyond introductory books.

The limitations of the models in practical applications could be better discussed, but this is a solid reference book.

Over 100 students in Berkeley's Master's in Financial Engineering Program have so far successfully mastered state-of-the-art derivatives pricing using the material in this textbook. In "The proof of the pudding is in the eating" test, this book earns an A+.

John O'Brien, Executive Director MFE Program, U.C. Berkeley

Based on the title and description of this book, I bought it hoping to learn more about developing financial tools, specifically interest rate models, in Matlab. After working through most of the book, I have concluded that the use of the name "Matlab" in the title is misleading: it only means that Maple, the main tool of the book, may be accessed via the kernel of Matlab.

The book appears to be targeted primarily at undergraduates and MBA students, not practitioners in the field. Such an audience may have little interest (or need) in learning to develop code or the intricacies of the underlying mechanics of financial models, and for them, the book would no doubt be very helpful. The software that comes with the book includes a stripped down version of Maple, (which is nice, since you can't really use the book without it), and author-developed analytical tools. These tools support the goals of learning through the ability to quickly vary inputs and see the impact on the output, but as they are more or less a black-box, do not add much to one's independent ability to model new financial objects or extend existing ones.

The book includes the de rigueur definitions of typical financial instruments and explanations that facilitate understanding of these instruments (such as how to read and understand option data in newspapers, the mechanics of currency swaps and so on), but one really has to follow along with the Maple commands page by page to derive benefit. The fixed income section is very skimpy. It seems like the book is best suited as an extended set of lecture notes.

I like the book but would not recommend it to practioners looking for insight on tool development or to extend knowledge of cutting edge interest rate models (as these are not covered here). I would recommend it for newcomers to the field having mathematical or quantitative backgrounds who want a reasonably good introduction to financial instruments. It would also be useful as a companion text in master's programs in financial engineering or financial mathematics. Derivatives and Maple with training wheels.

The theory of financial derivates is now much easily understood by combining mathemtical models with the symbolic, numeric and visualization capabilities of a CAS such as Maple. The author made an excellent choice to select Maple (primarily) and Matlab. Maple is used extensively in many academic and industry settings, and its integration into the presentation of the materials makes the content come alive. Great addition, that (even) every mathematician should read! I highly recommend it.

For when life throws you that derivative that you just can't look up in some book...
This book provides the building blocks on both the practical and theoretical levels that one needs to price derivatives. The book provides an essential combination of three things: 1) clear explanations and examples of fundamental concepts, 2) a hands on approach to software and pricing algorithms, and 3) emphasis on graphic visualization in understanding the behavior of derivatives in general. While clearly a textbook for a Master's level course, from the point of view of a practitioner, this book has also become my first reference source at the office for those times when I can't just look up the answer, and have to resort to first principles.

If I could give this book negative stars, I would. I have taken Epps's class and have had to use this book extensively. Not only was it useless at teaching me, it actually confused me about the concepts....

i learned rigorous finance for the first time via this book. and it has been my favorite enough to buy the book again as soon as i had lost it. mathematical introduction is the best part of this book.

As a biased reviewer (I helped proof the text), I will try to give comments as helpful as possible. First, from the standpoint of content alone, the text is ahead of most other general textbooks on derivative securities. There's hardly a topic in mathematical finance left untouched. About the only topic that is skimmed over is the PDE approach, but even there, Epps has a chapter on solving PDEs numerically (along with C++ and Fortran code in the appendix). There's also a limited amount on interest rate derivatives (one chapter).
Epps provides more mathematical details than most texts. The background math is not relegated to a terse appendix, but is covered in detail in two large chapters at the beginning of the book. Two chapters in particular, "Models with Uncertain Volatility" and "Discontinuous Processes," have material that's hard to find in other books, and is presented very well. It's nice to see Ito's Lemma for Jump Diffusion processes explained, as well as an interesting section on pricing "inside" options (writing puts on a firm's own stock). Finally, there's a chapter on simulation and a huge amount of C++ and Fortran code, along with an exhaustive bibliography. I would recommend it without hesitation!

This is an essential book for anyone interested in evaluating credit risk. It is well written and one of the best in its class in the market.

For more on products, however, especially the explosively growing credit derivatives market, I recommend Tavakoli's "Credit Derivatives" 2nd Edition.

This is probably still the best book on the valuation of credit risk. It is concise, rigorous, yet with many examples and a good treatment of implementation issues.

This book discusses credit risk valuation in detail and quantitatively. The book is very strong on counterparty credit risk of derivatives. That is really the focus, though it also has stuff on general credit risk and credit derivatives (I wish it had more on credit derivatives). It also offers a chapter on general option pricing and risk-neutral valuation principles (brief but very good). What I also liked was the appendix with a short description of the more important and more advanced mathematical concepts used in the book. Although (or perhaps because) not an easy read but rather terse and demanding, I found it to be an extremely valuable resource. It really helped me understand the subject matter and gave me a good idea of how to model such risks.

This book is an excellent read and should be required reading for any credit trader or risk manager - buy- or sell-side.
The model that is proposed is general enough to be practical but academically rigorous enough to garner respect.
The actual application of the model is a little limited and I lokk forward to further research by the author.
All-in-all - a well structured tour of current models and application of an innovative generalisation of a number of frameworks.

One of the best books on this topic. It is a very practical book for someone with practical background. No sigma algebra to confuse you, and you do not have to know Girsanov to understand the quanto effect. You just focus on those tough issues you are running into everyday: correlations, long dated FX, cross Gamma hedging, strategic risk management for an exotic book, transaction cost in illiquide market, and so on. In addition, last paragraph of the book is the every reason make me think why this book stands out among these many books.

I find this book extremely useful in my job. It covers almost all aspects of exotic and hybrid instruments: the real life examples, theory behind the pricing models, implementation using different numerical methods, hedging and risk management issues, a good appendix on the basic math stuff and even a sample VBA code to do multivariate MC. Most importantly, the author took a practitioner's point of view, which makes the materials much easier to be understood and applied. However, I did encounter quite a few errors inside some of the formulas. Just name a few, Eq 3.15 and 3.18 on pg 53, Eq 3.142 on pg 98 and Eq H.61 on pg 336. However, none of them is serious (more like a typo to me). In addition, I think it is more important to get the idea right. You can always double check the formula against any math reference book. Overall, I feel it is an excellent reference book for anyone with a serious interest in structured derivatives.

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 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.

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.

I'm an interest rate professional with more than 10 years of successful pricing and trading experience, and I enjoyed and appreciated Riccardo Rebonato's clear presentation of the pricing of these derivatives. I keep this on my desk as one of my key references.

Another great read is "Credit Derivatives" (2nd Edition) by Tavakoli. The products and their uses are clearly explained, and ties in relative value to the interest rate market. I concede that the models for this product may be trickier because of documentation risk and data issues, but Tavakoli brings clarity to this topic so any interest rate professional can grasp the products and why investors - even hedge funds - are so keen to use them.

It's hard to believe a reviewer with such a myopic view of Derivatives pricing could go through the whole book, understood it and found time to rate it. Mindblowing waste of time !
Few hundreds years ago, he would have recommended burning the Madmen claiming the earth was round.

Anyway, while Derivatives Pricing achieves little for the welfare of mankind, the recent need for assets based on ever complex market scenarios calls for a more refined pricing methodology. There no supply and demand here, only customers who want hedge/trade/tradge assets /liabilities and traders who need to make sure their firms don't go burst when market move.

The author answers that demand by formatting and publishing his papers.

My avid reading kept jostling out superb hot ideas from this book. Rebonato carries out a comprehensive survey of the LIBOR market model. He tackles historical background, calibration, and effective implementation. The later chapters also cover extensions to the LIBOR market model to take account of smile and skew. In particular, there is extensive discussion of the cutting-edge Joshi-Rebonato stochastic-vol, displaced-diffusion LIBOR market model.

If you are working on the pricing of exotic interest rate derivatives, this book is a must buy.