An Elementary Introduction to Mathematical Finance: Options and Other Topics

by Sheldon M. Ross

This original text on the basics of option pricing is accessible to readers with limited mathematical training. It is for both professional traders and undergraduates studying the basics of finance. Assuming no prior knowledge of probability, Sheldon Ross offers clear, simple explanations of arbitrage, the Black-Scholes option pricing formula, and other topics such as utility functions, optimal portfolio selections, and the capital assets pricing model. Among the many new features of this second edition are: a new chapter on optimization methods in finance, a new section on Value at Risk and Conditional Value at Risk; a new and simplified derivation of the Black-Scholes equation, together with derivations of the partial derivatives of the Black-Scholes option cost function and of the computational Black-Scholes formula; three different models of European call options with dividends; a new, easily implemented method for estimating the volatility parameter. Sheldon M. Ross is a professor in the Department of Industrial Engineering and Operations Research at the University of California at Berkeley. He received his Ph.D. in statistics at Stanford University in 1968 and has been at Berkeley ever since. He has published nearly 100 articles and a variety of textbooks in the areas of statistics and applied probability including Topics in Finite and Discrete Mathematics (Cambridge University Press, 2000), An Introduction to Probability Methods, Seventh Edition (Harcourt Science snd Technology Company, 2000), Introduction to Probability and Statistics for Engineers and Scientists (Academic Press, 1999), A First Course in Probability, Sixth Edition (Prentice-Hall, 2001), Simulation, Third Edition (Academic Press, 2002), and Stochastic Processes (John Wiley & Sons, 1982). He is the founding and continuing editor of the journal Probability in the Engineering and Informational Sciences, a fellow of the Institute of Mathematical Statistics, and a recipient of the Humboldt U.S. Senior Scientist Award.

Genres: Finance, Mathematics, Economics

Paperback

First published November 18, 2002

About the author

Sheldon M. Ross is the Epstein Chair Professor at the Department of Industrial and Systems Engineering, University of Southern California. He received his Ph.D. in statistics at Stanford University in 1968 and was formerly a Professor at the University of California, Berkeley, from 1976 until 2004. He has published more than 100 articles and a variety of textbooks in the areas of statistics and applied probability, including Topics in Finite and Discrete Mathematics (2000), Introduction to Probability and Statistics for Engineers and Scientists, 4th edition (2009), A First Course in Probability, 8th edition (2009), and Introduction to Probability Models, 10th edition (2009), among others. Dr Ross serves as the editor for Probability in the Engineering and Informational Sciences.

Reviews

[Tom Schulte · Rating 3 out of 5]

This new, third edition further bolsters Ross’ text as an excellent introduction to mathematical finance. Plentiful with preliminary material, the book can work for self-study, given that the reader has a solid background in calculus and statistics fundamentals. It would also be helpful to understand the fundamentals of LP models and their duals, as this is an expectation made on the reader for grasping the key proof of the Arbitrage Theorem. Of course, the text can work well as an introductory course for undergraduates. The usage as a textbook on the basics of option pricing better fits the structure of the text which includes exercises at the end of each chapter without any solutions. Also, the examples, while detailed, are less numerous than the proofs, lemmas, and propositions the reader will need in order to comprehend in order to progress.

[Franklin Hurst · Rating 4 out of 5]

This was a good introductory book. It was kind of cryptic in places. You really had to be on your toes or you would miss something. But altogether, a good book and one that I am will use as reference in the future.

[David Gerth · Rating 1 out of 5]

This is a pretty bad book especially for self study. Nothing is well written, which I probably should have gotten from the overly redundant title.