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An Elementary Introduction to Mathematical Finance

3rd Edition

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  • Date Published: April 2011
  • availability: Available
  • format: Hardback
  • isbn: 9780521192538

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About the Authors
  • 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
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    Reviews & endorsements

    '… an excellent introduction to the subject … the book is ideally suited for self-study and provides a very accessible entry point to this fascinating field.' ISI Short Book Reviews

    '… this excellent text achieves its aim to provide a highly accessible and at the same time accurate presentation of the subject. I would recommend it.' The Statistician

    '… an excellent introduction to the mathematics of finance … very useful as a text for an introductory course.' Zentralblatt Math

    '… provides an accessible and relatively deep insight into basic and advanced topics of mathematical finance … The lucid style of the exposition will be appreciated by readers interested in the topic, and by researchers, students, and practitioners.' European Maths Society Journal

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    Product details

    • Edition: 3rd Edition
    • Date Published: April 2011
    • format: Hardback
    • isbn: 9780521192538
    • length: 322 pages
    • dimensions: 231 x 157 x 23 mm
    • weight: 0.61kg
    • contains: 19 b/w illus. 9 tables 175 exercises
    • availability: Available
  • 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.

  • Resources for

    An Elementary Introduction to Mathematical Finance

    Sheldon M. Ross

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    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

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  • Instructors have used or reviewed this title for the following courses

    • Actuarial Studies
    • Advanced topics in investing
    • Capstone in mathematics
    • Financial Calculus
    • Financial Engineering
    • Financial Mathematics
    • Fixed Income & Alterantive Investment
    • Introduction to Mathematical Finance
    • Investment Science I
    • Mathematical Finance
    • Mathematical Models in Social Sciences
    • Mathematics of Finance and Interest Theory
    • Options,futures and swap
    • Quantitative Economics and Finance
    • Quantitative Risk Management
    • Stochastic Financial Modelling
  • 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, 4th edition (2009), A First Course in Probability, 8th edition (2009), and Introduction to Probability Models, 10th edition (2009), among others. Dr Ross serves as the editor for Probability in the Engineering and Informational Sciences.

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