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Mathematics for Finance: An Introduction to Financial Engineering / Edition 1

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Overview

As with the first edition, Mathematics for Finance: An Introduction to Financial Engineering combines financial motivation with mathematical style. Assuming only basic knowledge of probability and calculus, it presents three major areas of mathematical finance, namely Option pricing based on the no-arbitrage principle in discrete and continuous time setting, Markowitz portfolio optimisation and Capital Asset Pricing Model, and basic stochastic interest rate models in discrete setting. From the reviews of the first edition: "This text is an excellent introduction to Mathematical Finance. Armed with a knowledge of basic calculus and probability a student can use this book to learn about derivatives, interest rates and their term structure and portfolio management."(Zentralblatt MATH) "Given these basic tools, it is surprising how high a level of sophistication the authors achieve, covering such topics as arbitrage-free valuation, binomial trees, and risk-neutral valuation." (www.riskbook.com) "The reviewer can only congratulate the authors with successful completion of a difficult task of writing a useful textbook on a traditionally hard topic." (K. Borovkov, The Australian Mathematical Society Gazette, Vol. 31 (4), 2004)
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Product Details

  • ISBN-13: 9781852333300
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 6/29/2007
  • Series: Springer Undergraduate Mathematics Series
  • Edition description: Older Edition
  • Edition number: 1
  • Pages: 310
  • Product dimensions: 7.34 (w) x 9.22 (h) x 0.81 (d)

Table of Contents

1 Introduction: A Simple Market Model 1
2 Risk-Free Assets 21
3 Risky Assets 47
4 Discrete Time Market Models 73
5 Portfolio Management 91
6 Forward and Futures Contracts 125
7 Options: General Properties 147
8 Option Pricing 173
9 Financial Engineering 191
10 Variable Interest Rates 215
11 Stochastic Interest Rates 237
Solutions 263
Bibliography 303
Glossary of Symbols 305
Index 307
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