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Rating:  Summary: An excellent addition to any quants library Review: Alexander Lipton Lifschitz has brought his extensive experience and years of research in the most diverse areas of applied mathematics as well as his experience in the financial industry to bear in authoring this very interesting book.The range of this book is impressive. Although the author chose to focus on currency options, his book really is a treatise on a wide spectrum of problems and methodologies which any quant wishing to tackle the sophisticated world of option pricing at a high level must master. The author demonstrates his mastery of the arsenal of the classic applied mathematician, asymptotic analysis, self-similarity, Laplace and Fourier transform, and uses these to give an incisive analysis of both standard topics such as American options and more exotic topics such as options on one currency with barriers on the other currency, passport options (for which he was a pioneer in developping pricing tools) , asian options and much much more. No, this is not as easy a read as Willmott's books. Willmott's books were and remain an important contribution with their quick and intuitive explanation of a variety of instruments. Lipton- Lifschitz's book is more challenging and the reader will have to pull up his sleeves on occasions where the author, while dealing with a case analogous to one just treated says " the details are left to the reader". But let's face it, if you work on Wall Street or nearby, you'll have to tackle those details alone at some point and Lipton-Lifschitz gives you all you need to know to do pull this off. And. last but not least, let's not forget the price. At less than 50$ thisbook is a real bargain and for a first printing, unusually free of typos or others errors. I highly recommend you buy this book now before the publisher doubles the price.
Rating:  Summary: State of the Art Review: I own pretty much all of the books on quantitative finance and this one holds a cherished place on my bookshelf. Anybody either working as a quant or with aspirations to become one should dust off some space on their bookshelf as well. Anybody who does serious research in finance in either academia or industry already knows that it is somewhat rare for top researchers to pen books of any length. Time is at a premium and the payoff to publishing journal articles or to finishing off code is typically much greater than it is for writing books. This is what distinguishes this book from its competitors. The author is well known in financial circles as one of a handful of quants who is capable of meaningfully contributing new results to this fascinating field. The book contains many results which cannot be found elsewhere in the public domain. Although the book title suggests that the results apply only to foreign exchange, it is straightforward to adapt the results to equities, commodities, and many other underlyings. Wall Street is a very secretive place and it is not easy to get a glimpse of the kind of things that consume a quant's time. I suspect that the only reason that this book was able to come to light is due to the acquisition of Banker's Trust, the author's former employer. Banker's was well known to be a fertile training ground for the best derivative minds and this book should prove to be a lasting legacy to that view.
Rating:  Summary: A Book That Was Long Overdue Review: Most of the books on mathematical finance fall in one of the two domains. Some books are written for people who are new to the field and, as such, do not go deeply into the mathematical details that are crucial for implementing these methods in practice. The more advanced books are usually written by academic mathematicians and sometimes suffer from poor readability and lack of awareness of relevant problems. What many people are looking for is a detailed and readable description of how to apply the latest mathematical methods to solving the problems appearing in day-to-day work of derivatives desks. Such books are few and far between: that is why Alex Lipton's manuscript was so welcome. As a quant in one of the Wall Street investment banks, I found this book a very valuable resource. Though written on a fairly high level, this book remains a readable and consistent exposition of latest methods of foreign exchange modeling. I particularly appreciated that the author does not skip steps in his derivations and gives out all those little practical details that are so important to people planning to use these methods in their work. The range of topics covered is fairly wide, with main emphasis on derivative pricing. I found the two chapters on path-dependent options to be particularly interesting and extensive. Some of the results included in the book came out of author's original work at Deutsche Bank. I also had an impression that some of his latest work was not included in the book, which is a pity. All in all, an excellent book. Well worth the price.
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