Derivatives-pricing
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Hands-on & easy to read
Very good coverage, practical orientationA variety of illustrations of this practical emphasis might be adduced. In the preface, for example, Dr. Cerný tells us frankly that in his experience "is it hard to understand the Itô calculus, but it is possible to get used to it and to apply it quickly and consistently...." [italics in original.]


A list of formulas but no mathematical or financial insight.I am quite disappointed since the book gives details neither on the financial side (incomplete markets, approximate hedging, exotic options...) which is not really the expertise of the author nor on the mathematical side (Wiener Hopf factorization, integrodifferential equations) which is superficially treated, the reader being constantly referred to other books.
The statistics/ econometrics aspect is totally absent and given
only a slight treatment.
For practitioners it is even more disappointing because a crucial aspect, namely NUMERICAL METHODS, is completely absent
and references to recent work on this topic is omitted.
For example, the author does not explain how the models were calibrated to the option prices in the examples he gives and his results are not easy to reproduce.
The only positive point of the book is to give a unified list of different models based on Levy processes which are spread out in the literature.
excellent bookMoreover, I found it very strange that people recommended the Cont-Tankov book before it was out instead of this book. Looking at the Cont-Tankov contents, I do not see anything useful that is not in the Schoutens book.
just what I needed
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Extremely Valuable . . . .
A Primary Resource

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A complete package for practice and theory
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Excellent second introductionI must say, though, that the book starts with "the parable of the bookmaker" that always put me off, because I found the point that the authors wish to make quite unclear. Now that I understand it, I'm not even so sure that it's really a good analogy of the use of the martingale measure vs the "objective" measure. Also, expressions such as "shortening the odds" are obscure to those of us who don't bet on horses, and it was never clear to me whether "shortening the odds" was analogous to anything in financial mathematics and thereby part of the discussion and the point that the authors wish to make -- I guess it's not. All in all, that was a far lessr than ideal way to start the book. However, once you get over that hurdle, the book is indeed very well written, though very concise.
Hull is much better as a first bookReviews said undergraduates can handle this book. Wrong. Despite solid engineering background (IIT), I found this to be rather dry book. Certaily not the first book.
I have started Hull. And found that much more accessible and practically useful. Gets you into solving problems and getting answers.
Best Introduction to Stochastic Calculus in Finance.PERIOD.This is not a book on solving partial differential equations, nor is it supposed to be. If you are looking for a book on solving and creating financial PDE's, then buy Wilmott's books. Rather, this book uses discounted expectations under the risk neutral measure to price securities. What does that mean? Well, all I can say is "READ THE BOOK".
The first three chapters of this book are so fundamental and necessary to building a firm and solid intuition that I have read them over three or four times now. The reason I have read it so many times is because it is so well written and new things pop out at you every time. It really is a delight to read.
Moreover, the section on fixed income models is extremely well written as well.
I can't stress enough how great this text is.
You should buy it even if you already know the material.

The reason being that the author uses a more informal style than most quant books and is very hands-on. If you're interested in understanding quant models and eventually applying them in the real world, then this is the kind of book you want. If you're looking for mathematical beauty and formalism, then look elsewhere.
The editors could have done a better job with some of the flow and formatting - maybe next edition (it is sometimes hard to link the text to the figures and tables).
Great book.