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Practical Table Series, No. 8: Compound Interest Functions focuses on compound interest tables that are applied to mathematical problems concerned with loans, annuities, mortgages, leases, and different forms of investment. This book provides the compound interest functions on 1/16 to 2 7/16 per cent at interval 1/16 per cent; 2 1⁄2 to 4 7/8 per cent at interval 1/8 per cent; and 5 to 10 per cent at interval 1/4 per cent. The tables on i/i(p)and force of interest d, and 10-figure logarithms are also included. The rest of this publication's content are devoted to notes on the mathematics of compound interest, providing guidance through the mathematical complexities of the more elementary parts of this subject. Some of the topics discussed include the definitions; effective and nominal rate of interest; present value and compound discount; continuous conversion of interest; annuities–definitions and symbols; interpolation using second differences; yield on a bond; and short history of tables of compound interest. This text is a good source to students, as well as individuals who have not had the opportunity to study the theory on compound interest functions.
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1. The Measurement of Interest ; 2. Solution of Problems in Interest ; 3. Elementary Annuities ; 4. More General Annuities ; 5. Yield Rates ; 6. Amortization Schedules and Sinking Funds ; 7. Bond and Other Securities ; 8. Practical Applications ; 9. More Advanced Financial Analysis ; 10. A Stochastic Approach to Interest ; APPENDIXES I. Table of compound interest functions ; II. Table numbering the days of the year ; III. Basic mathematical review ; IV. Statistical background ; V. An introduction to finite differences ; VI. Iteration methods ; VII. Further analysis of varying annuities ; VIII. A general formula for amortization with step-rate amounts ofprinciple ; Bibliography ; Answers to the exercises ; Index.
Mathematical Interest Theory provides an introduction to how investments grow over time. This is done in a mathematically precise manner. The emphasis is on practical applications that give the reader a concrete understanding of why the various relationships should be true. Among the modern financial topics introduced are: arbitrage, options, futures, and swaps. Mathematical Interest Theory is written for anyone who has a strong high-school algebra background and is interested in being an informed borrower or investor. The book is suitable for a mid-level or upper-level undergraduate course or a beginning graduate course. The content of the book, along with an understanding of probability, will provide a solid foundation for readers embarking on actuarial careers. The text has been suggested by the Society of Actuaries for people preparing for the Financial Mathematics exam. To that end, Mathematical Interest Theory includes more than 260 carefully worked examples. There are over 475 problems, and numerical answers are included in an appendix. A companion student solution manual has detailed solutions to the odd-numbered problems. Most of the examples involve computation, and detailed instruction is provided on how to use the Texas Instruments BA II Plus and BA II Plus Professional calculators to efficiently solve the problems. This Third Edition updates the previous edition to cover the material in the SOA study notes FM-24-17, FM-25-17, and FM-26-17.
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