The formula to calculate the Doubling Time (Continuous Compounding) (DTCC) is:
\[ DTCC = \frac{\ln(2)}{\frac{%RoR}{100}} \]
Where:
Doubling Time (Continuous Compounding) is used to calculate the length of time it takes to double one's money in an account or investment that has continuous compounding.
A Rate of Return is the gain or loss on an investment over a specified time period, expressed as a percentage of the investment’s cost.
Let's assume the following value:
Using the formula:
\[ DTCC = \frac{\ln(2)}{\frac{%RoR}{100}} \]
Evaluating:
\[ DTCC = \frac{\ln(2)}{\frac{4.5}{100}} \]
The Doubling Time (Continuous Compounding) is 15.4032706791099 years.
| Rate of Return | Doubling Time (Continuous Compounding) |
|---|---|
| 1% | 69.314718055994533 years |
| 2% | 34.657359027997266 years |
| 3% | 23.104906018664845 years |
| 4% | 17.328679513998633 years |
| 5% | 13.862943611198904 years |
| 6% | 11.552453009332423 years |
| 7% | 9.902102579427789 years |
| 8% | 8.664339756999317 years |
| 9% | 7.701635339554948 years |
| 10% | 6.931471805599452 years |
| 11% | 6.301338005090412 years |
| 12% | 5.776226504666211 years |
| 13% | 5.331901388922656 years |
| 14% | 4.951051289713894 years |
| 15% | 4.620981203732969 years |
| 16% | 4.332169878499658 years |
| 17% | 4.077336356234972 years |
| 18% | 3.850817669777474 years |
| 19% | 3.648143055578659 years |
| 20% | 3.465735902799726 years |