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Introduction to the Mathematics of Money: Saving and Investing

Introduction to the Mathematics of Money: Saving and Investing - 07 edition

ISBN13: 978-0387344324

Cover of Introduction to the Mathematics of Money: Saving and Investing 07 (ISBN 978-0387344324)
ISBN13: 978-0387344324
ISBN10: 0387344322 Edition: 07
Copyright: 2007
Publisher: Springer-Verlag New York
Published: 2007
International: No
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Introduction to the Mathematics of Money: Saving and Investing - 07 edition

ISBN13: 978-0387344324

David Lovelock

ISBN13: 978-0387344324
ISBN10: 0387344322 Edition: 07
Copyright: 2007
Publisher: Springer-Verlag New York
Published: 2007
International: No
Summary

This is an undergraduate textbook on the basic aspects of personal savings and investing with a balanced mix of mathematical rigor and economic intuition. It uses routine financial calculations as the motivation and basis for tools of elementary real analysis rather than taking the latter as given. Proofs using induction recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Mean Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented. The student is introduced to elements of saving and investing that are of life-long practical use. These include savings and checking accounts certificates of deposit student loans credit cards mortgages buying and selling bonds and buying and selling stocks. The book is self contained and accessible. The authors follow a systematic pattern for each chapter including a variety of examples and exercises ensuring that the student deals with realities rather than theoretical idealizations. It is suitable for courses in mathematics investing banking financial engineering and related topics.

Table of Contents

Preface
Interest - Simple
Interest - Compound
Inflation and Taxes
Annuities
Loans and Risks
Amortization.- Credit Cards
Bonds
Stocks and Stock Markets
Stock Market Indexes Pricing and Risk
Options
Appendix: Induction Recurrence Relations Inequalities
Appendix: Statistics
Answers
References
Index.

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