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Students of derivative pricing techniques are often in a dilemma: Coming from their MBA or undergrad course, they have just build a "brealy-myers" type of intuition on options. Moving towards Hull then allows a deeper understanding. But any serious (eg PhD, Wall Street Analyst) student of derivatives needs to undertstand the math behind modern derivatives pricing. Essentially, this research divides into two streams: Solving Partial differential equations and developing equivalent Martingales. Without a rigorous pre-education (Maths, Physics), most students fail to understand (let alone learn to use) these methods. Nefci is the only book that does not assume lots of prior knowledge, as compared to Merton (1992) or Duffie (who is so bold to write "for mathematical preparation little beyong undergraduate analysis...is assumed" -ask PhD Students how easy this book reads! The answer is its tough!!). In Short, Neftci's book is a true blessing for all "normal" people. Can't wait to get the second edition!
The exposition may not be as rigourous as many people expect it to be, but that's the whole point of the exercise: to give the reader an introductory and motivated first exposure to risk neutral measures, martingales, stochastic differentiation and integration, Ito's lemma, PDE's, stochastic PDE's, equivalent martingale measures, Girsanov's theorem, and a lot more. This is definitely the very first book that a non-mathematician student of the subject should read. No doubt about that. I guess the burning question now is: Which book makes a natural second read? Baxter and Rennie? Bjork? Bingham and Kiesel? I think it should be one of these three.
The new material focuses on normalization -- the technique of obtaining pricing equations for ratios of asset prices instead of for the prices themselves. Normalization is a very powerful tool for grapplig with dynamic situations. And as it happens one of its applications is to martingales, the relation of an asset price to the passage of time. Normalizing a martingale proves to be, in Neftci's words, "quite useful in pricing interest sensitive derivative instruments." Obviously not a book for the mathematically faint of heart, but the title provides sufficient warning! If this is the kind of book you want, then this book is the one of the kind you will need.
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