File:Compounding e.svg
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Summary
| Description |
English: To illustrate the discovery of e by Bernoulli, this is a graph of account value (after one year) versus compounding frequency in days (on a log10 scale), assuming an initial value of 1 currency unit (Dollar, Euro, etc) and an interest rate of 100% per year. As compounding becomes more frequent (to the left), the account value at one year approaches e. |
| Date | |
| Source | Own work |
| Author | Scray |
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 01:49, 22 April 2011 | | 600 × 600 (6 KB) | Scray | x-axis changed to compounding interval, based on 100% simple interest per 1.0 unit of time, as suggested by user Dicklyon on en.wiki |
| 00:22, 22 April 2011 |  | 600 × 600 (16 KB) | Scray | Reversed x-axis, changed it from log<sub>10</sub> to linear; it (the x-axis) now represents the number of compounding partitions of the simple interest doubling interval (i.e. if the interest rate is 100% over 1 year simple interest, then "2" on this new | |
| 21:14, 20 April 2011 |  | 600 × 600 (414 KB) | Scray | added dashed arrow indicating progression from infrequent to frequent compounding and convergence on e ("e" also further upsized). | |
| 21:03, 20 April 2011 |  | 600 × 600 (413 KB) | Scray | increased size of "e" to make it more readable in thumbnail view, corrected name | |
| 19:44, 20 April 2011 |  | 600 × 600 (413 KB) | Scray | {{Information |Description ={{en|1=To illustrate [http://en.wikipedia.org/wiki/E_(mathematical_constant)#The_compound-interest_problem the discovery of ''e''] by Bernoulli, this is a graph of account value (after one year) versus compounding frequency |
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