Neil Chriss' book, "Black-Scholes and Beyond" is the first book that I have found that clearly presents the fundamental thinking behind the Black-Scholes formula and all of the underpinning assumptions. I have looked long and hard for a book that can present to an interested and mathematically-adept reader a clear picture of the origin of the BS-formula. Books like Hull are poorly written and confusing to the uninitiated. Chriss, however, presents a logical case for the derivation of the BS-formula which has left me with an understanding of its ingredients and limitations. To flesh-out the BS limitations, Chriss presents 6 chapters on pricing options on Binomial Trees. Chriss' exposition presents trees as an alternative and powerful tool for the valuation of European, American, and exotic options. Trees are treated as a superset of tools to Black-Scholes and moreover as field of their own. The extensive bibliography has helped me track down journal articles on various related subjects so that I can further study the material.
Chriss presents a wealth of intuitive explanations to pricing options - explanations that help the reader gain a greater understanding of the limitations and problems that the current methods face. Often it is hard to find a text that presents in detail the shortcomings of a method or technique, but as any researcher would know, understanding the current limitations is fundamental to advancing the state-of-the-art. In this respect, Chriss goes way beyond any textbook available today.
The reader will find detailed explanations on how to use the BS formula and how to build binomial trees. Additionally, there is extensive material on how to build implied binomial trees and implied volatility trees. I have taken the time to write code to reproduce the material in the chapters and thus far I have had little difficulty, although the last couple of chapters could use a bit of augmentation. Nonetheless, I've read this book twice.
Chriss has done an outstanding job at presenting the material. I look forward to future revisions of this current book and to additional books that I hope he will write. Chriss has created a new standard in financial texts that I hope others adhere to.
