An Elementary Introduction to Mathematical Finance, 3rd Edition
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Description 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. -This book combines accuracy and easy to understand mathematical arguments -Assumes almost no technical knowledge, but presents all needed preliminary material -The third edition is completely revised with two new chapters of material and additional exercises Table of Contents 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. Author Sheldon M. Ross, University of Southern California 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.
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