Black-Scholes and Beyond: Option Pricing Models (Hardcover)

by Neil A. Chriss (Author), Ira Kawaller (Foreword) "This book is about the methods and concepts of option valuation..." (more)
Key Phrases: option value tree, stock price tree, implied volatility trees, Example Suppose, Bimonthly Weekly Daily, Monte Carlo (more...)

Editorial Reviews

Product Description
An unprecedented book on option pricing! For the first time, the basics on modern option pricing are explained ``from scratch'' using only minimal mathematics. Market practitioners and students alike will learn how and why the Black-Scholes equation works, and what other new methods have been developed that build on the success of Black-Shcoles. The Cox-Ross-Rubinstein binomial trees are discussed, as well as two recent theories of option pricing: the Derman-Kani theory on implied volatility trees and Mark Rubinstein's implied binomial trees. Black-Scholes and Beyond will not only help the reader gain a solid understanding of the Balck-Scholes formula, but will also bring the reader up to date by detailing current theoretical developments from Wall Street. Furthermore, the author expands upon existing research and adds his own new approaches to modern option pricing theory. Among the topics covered in Black-Scholes and Beyond: detailed discussions of pricing and hedging options; volatility smiles and how to price options ``in the presence of the smile''; complete explanation on pricing barrier options.

About the Author
McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide

Product Details

• Hardcover: 496 pages
• Publisher: McGraw-Hill; 1 edition (September 1, 1996)
• Language: English
• ISBN-10: 0786310251
• ISBN-13: 978-0786310258
• Product Dimensions: 8.9 x 6.1 x 1.4 inches
• Shipping Weight: 1.8 pounds (View shipping rates and policies)
• Average Customer Review: 4.7 out of 5 stars See all reviews (16 customer reviews)
• Amazon.com Sales Rank: #211,822 in Books (See Bestsellers in Books)

Customer Reviews

Most Helpful Customer Reviews

32 of 35 people found the following review helpful:

5.0 out of 5 stars excellent intuitive exposition of complex subjects, November 22, 1998

By	[e-mail] (NJ, USA) - See all my reviews

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.

16 of 17 people found the following review helpful:

5.0 out of 5 stars Logical progression of ideas in a lucid style, May 11, 2002

By	John P. Rickert (Denton, NE USA) - See all my reviews (REAL NAME)

I picked up this book as additional reading for an actuarial exam on investments, in hopes of getting a better and more intuitive understanding of the Black-Scholes Formula. This book develops ideas in a clear, natural, intuitive sequence. I particularly commend the author for a lucid and agreeable style. I was expecting a book on this kind of subject to be dry and heavy-going, but instead what I found was a very good teacher guiding me through the subject. It should be mentioned that the development of the formula entirely from scratch is not in this book, as that would basically require stochastic calculus or other techniques beyond the scope of the book. Even so, he does explain the rationale behind the formula as well as related concepts such as hedging away risk and self-financing strategies. He gives the appropriate versions of the Black-Scholes Formula for stocks with continuous or lumpy dividends and, of course, talks about put-call parity for European options. There is excellent coverage of The Greeks (delta, gamma, vega, etc.) along with numerous graphs. A nice surprise was the inclusion of some approximation formulas for the cumulative normal distribution that can be calculated easily with a spreadsheet or calculator. Finally, he has very good coverage on binomial trees, of both the classic "Cox-Ross-Rubinstein" and the "flexible" varieties. I have to admit that I have read only through Ch. 7 so far (which is approx. 2/3 of the book), but I will probably keep going because it is so good.

20 of 24 people found the following review helpful:

3.0 out of 5 stars The book has a unique approach to Black-Scholes formula, January 7, 1999

By A Customer

This book well explains the probability and statistical methods used in Black-Scholes formula. As we know that Black-Scholes formula has several approaches to the evaluation of an option, and the approach taken in this book was vague. In this book not all the mathimatical elements of the Black-Scholes formula was explained. I would like to emphasize that this book would not help to understand the Black-Scholes formula completely.