An Elementary Introduction to Mathematical Finance

Revised
ISBN: 978-0-521-19253-8
Verlag: Cambridge University Press

Buch, Englisch, 328 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 619 g

This textbook 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 M. 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 third edition are new chapters on Brownian motion and geometric Brownian motion, stochastic order relations and stochastic dynamic programming, along with expanded sets of exercises and references for all the chapters.

Autoren/Hrsg.

Ross, Sheldon M.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Finanz- und Versicherungsmathematik

Inhaltsverzeichnis

1. Probability
2. Normal random variables
3. Geometric Brownian motion
4. Interest rates and present value analysis
5. Pricing contracts via arbitrage
6. The Arbitrage Theorem
7. The Black–Scholes formula
8. Additional results on options
9. Valuing by expected utility
10. Stochastic order relations
11. Optimization models
12. Stochastic dynamic programming
13. Exotic options
14. Beyond geometric motion models
15. Autoregressive models and mean reversion.

Über Autor(innen)

Ross, Sheldon M.
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, Fourth Edition (2009), A First Course in Probability, Eighth Edition (2009), and Introduction to Probability Models, Tenth Edition (2009), among others. Dr Ross serves as the editor for Probability in the Engineering and Informational Sciences.