An Undergraduate Introduction to Financial Mathematics 3rd Edition by Robert Buchanan ISBN 978-9814407441 9814407445

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Product details: 

ISBN 10:  9814407445

ISBN 13: 978-9814407441

Author:  J. Robert Buchanan

This textbook provides an introduction to financial mathematics and financial engineering for undergraduate students who have completed a three- or four-semester sequence of calculus courses. It introduces the theory of interest, discrete and continuous random variables and probability, stochastic processes, linear programming, the Fundamental Theorem of Finance, option pricing, hedging, and portfolio optimization. This third edition expands on the second by including a new chapter on the extensions of the Black-Scholes model of option pricing and a greater number of exercises at the end of each chapter. More background material and exercises added, with solutions provided to the other chapters, allowing the textbook to better stand alone as an introduction to financial mathematics. The reader progresses from a solid grounding in multivariable calculus through a derivation of the Black-Scholes equation, its solution, properties, and applications. The text attempts to be as self-contained as possible without relying on advanced mathematical and statistical topics. The material presented in this book will adequately prepare the reader for graduate-level study in mathematical finance.

Table of contents: 

1. The Theory of Interest
2. Discrete Probability
3. Normal Random Variables and Probability
4. The Arbitrage Theorem
5. Random Walks and Brownian Motion
6. Forwards and Futures
7. Options
8. Solution of the Black–Scholes Equation
9. Derivatives of Black–Scholes Option Prices
10. Hedging
11. Extensions of the Black–Scholes Model
12. Optimizing Portfolios
13. American Options

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Tags: Robert Buchanan, An Undergraduate, Financial Mathematics