Introduction to the mathematics of finance : from risk management to options pricing /

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"This book is specifically written for upper-division undergraduate or beginning graduate students in mathematics, finance, or economics. With the exception of an optional chapter on the Capital Asset Pricing Model, the book concentrates on discrete derivative pricing models, culminating in a c...

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Bibliographic Details
Main Author: Roman, Steven
Format: Printed Book
Language:English
Published: New York : Springer, c2004.
Subjects:
Capital assets pricing model.
Investments > Mathematics.
Options (Finance) > Prices.
Portfolio management > Mathematical models.
Table of Contents:
  • Notation key and Greek alphabet
  • 1. Probability I : an introduction to discrete probability
  • 2. Portfolio management and the capital asset pricing model
  • 3. Background on options
  • 4. An aperitif on arbitrage
  • 5. Probability II : more discrete probability
  • 6. Discrete-time pricing models
  • 7. The Cox-Ross-Rubinstein model
  • 8. Probability III : continuous probability
  • 9. The Black-Scholes option pricing formula
  • 10. Optimal stopping and American options
  • App. A. Pricing nonattainable alternatives in an incomplete market
  • App. B. Convexity and the separation theorem.

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