Binomial Models in Finance / Edition 1

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Overview

This book deals with many topics in modern financial mathematics in a way that does not use advanced mathematical tools and shows how these models can be numerically implemented in a practical way. The book is aimed at undergraduate students, MBA students, and executives who wish to understand and apply financial models in the spreadsheet computing environment.

The basic building block is the one-step binomial model where a known price today can take one of two possible values at the next time. In this simple situation, risk neutral pricing can be defined and the model can be applied to price forward contracts, exchange rate contracts, and interest rate derivatives. The simple one-period framework can then be extended to multi-period models. The authors show how binomial tree models can be constructed for several applications to bring about valuations consistent with market prices. The book closes with a novel discussion of real options.

From the reviews:

"Overall, this is an excellent 'workbook' for practitioners who seek to understand and apply financial asset price models by working through a comprehensive collection of both theoretical and dataset-driven numerical examples, follwoed by up to 15 end-of-chapter exercises with elaborated parts taht help clarify the mathematical and computational aspects of the chapter." Wai F. Chiu for the Journal of the American Statistical Association, December 2006

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Editorial Reviews

From the Publisher
From the reviews:

"Overall, this is an excellent 'workbook' for practitioners who seek to understand and apply financial asset price models by working through a comprehensive collection of both theoretical and dataset-driven numerical examples, follwoed by up to 15 end-of-chapter exercises with elaborated parts taht help clarify the mathematical and computational aspects of the chapter." Wai F. Chiu for the Journal of the American Statistical Association, December 2006

"This is a textbook on the mathematics of pricing and hedging financial derivatives with discrete shastic models. It is directed towards a readership that is interested in the principles and applications of mathematical finance … . A nice feature is the very clear descriptions of financial terms, which, on the one hand, are often missing in more mathematics-oriented books and, on the other hand, can be somewhat imprecise in textbooks aiming at the business community." (A. Schied, Short Book Reviews, Vol. 26 (2), 2006)

"The book is written by leading specialists in modern shastic financial modeling. … The book is well written, with a good balance between mathematical tools and arguments and financial topics. It is nice to see proofs of several important properties of financial characteristics and rules for option pricing. Specific numerical examples are given to illustrate ideas and rules. … Without any reservations the book can be strongly recommended not only to institutional libraries but also to anybody working or with interests in shastic financial modeling." (Jordan M. Stoyanov, Zentralblatt MATH, Vol. 1107 (9), 2007)

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Product Details

Table of Contents

The Binomial Model for Sk Options.- The Binomial Model for Other Contracts.- Multiperiod Binomial Models.- Hedging.- Forward and Futures Contracts.- American and Exotic Option Pricing.- Path-Dependent Options.- The Greeks.- Dividends.- Implied Volatility Trees.- Implied Binomial Trees.- Interest Rate Models.- Real Options.- The Binomial Distribution.- An Application of Linear Programming.- Volatility Estimation.- Existence of a Solution.- Some Generalizations.- Yield Curves and Splines.

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