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Rating: 
Summary: intuitive introduction to option pricing
Review: I agree with several reviewers above that the book is written in a style very helpful for students to understand the material.
It doesn't contain a lot of small details of financial markets like Hull's book, but the approach is very systematic. The derivations of formula for Barrier options is a nice example, Hull only lists a set of formula. The focus is on the theory, not on the practice. (No numerical method in the book). Bjork's book is very valuable for a student with very good math skills but want to learn the reasoning style for option pricing. It is a quick and enjoyable read.
A huge plus side of the book is to describe strategy before writing down all the proofs. This helps greatly. It can be contrasted with Duffie's book "Dynamic Asset Pricing Theory", which is written like a dry math book (well, I have to admit that Duffie's book is not an intro book)
Only thing I can think of that can be improved is typo in the book, too many wrong formula, especially in the second half of the book, luckily enough, they are obviously wrong so that one can still understand the topics. I also find that using SEK and mentioning street name of Britain are amusing for a student in U.S.
Rating: 
Summary: Hell, I should have rated it 5 stars!
Review: If you're going to be introduced to Derivatives pricing and Quantitative finance in continuous time, you need some basics in probability theory, an elementary introduction to stochastic calculus and you need "bjork". It tells you the equation and how to understand it.It's the best source for a complete understanding of the basics of arbitrage free pricing in continuous time; whether it's in complete or incomplete markets. The best feature of this book is how the author invariably provides an "intuitive interpretation or explanation" to convey critical concepts. {Things like market price of risk in the context of interest rate modelling, change of measure etc...} Why I rated the book 4 instead of 5?
I will not forgive "Tomas bjork" not to have covered the Libor Market Model; it's "THE" model and therefore should be covered in great details by any book of this calibre. A new edition of this book with the libor market model is needed.
Having said that, the coverage he gives to the popular short rate models is worth every read! Guy,
Msc Financial Engineering at ISMA Center, Reading - UK.
Rating:
Summary: Good introductory book
Review: It is a good book to read as an introduction to the field. The author is successful in conveying the intuition behind the models instead of striving for complete mathematical rigor. I recommend this book if you want to quickly get acquainted with derivatives pricing but are a bit afraid of the higher math seen in other books.
Rating:
Summary: Rigorous, complete, easy to understand, so worth studying
Review: One of the best book on derivatives pricing. Professor Björk explain from the simplest model to the more elaborate pricing techniques not only the mathematical tools necessary but the methodology in a very clear and understandable manner. I wish I had a Professor like him !! Thank You Professor Björk. A PhD Student,
Rating:
Summary: An FE Bible
Review: The central text for IOE 552(financial Engineering I) at the University of Michigan. Halfway through the course and I really understand the application of Ito's Lemma and the Feynman-Kac stochastic representation theorem. This book has just the right mixture of narative story telling, and mathematical rigor. The derivations are accessible to those with a semester of advanced calculus and a semester of probability. Over and over, Bjork shows that the secret of success in Financial Engineering is "RAIL" which stands for the "Relentless Application of Ito's Lemma".
Rating:
Summary: An FE Bible
Review: The central text for IOE 552(financial Engineering I) at the University of Michigan. Halfway through the course and I really understand the application of Ito's Lemma and the Feynman-Kac stochastic representation theorem. This book has just the right mixture of narative story telling, and mathematical rigor. The derivations are accessible to those with a semester of advanced calculus and a semester of probability. Over and over, Bjork shows that the secret of success in Financial Engineering is "RAIL" which stands for the "Relentless Application of Ito's Lemma".
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