Doubling Time Calculator
Calculate the doubling time for a constant growth rate.
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The Doubling Time Calculator is used to calculate the doubling time for a constant growth rate.
Doubling Time Definition
In finance, the doubling time is the period of time required for an investment or money in an interest-bearing account to double in size or value. It is also applied to population growth, inflation, resource extraction, compound interest, and many other things that tend to grow over time.
Doubling Time Formula
For a constant growth rate, the doubling time calculation formula is as follows:
Td = log(2) / log(1 + r)
Where:
Td = doubling time
r = a constant growth rate
Doubling Time Table
Some doubling times calculated with the above formula are shown in the following table.
| r% | Td | r% | Td | r% | Td | r% | Td | r% | Td | r% | Td | r% | Td |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.1 | 693.49 | 1.1 | 63.36 | 2.1 | 33.35 | 3.1 | 22.7 | 4.1 | 17.25 | 5.5 | 12.95 | 11 | 6.64 |
| 0.2 | 346.92 | 1.2 | 58.11 | 2.2 | 31.85 | 3.2 | 22.01 | 4.2 | 16.85 | 6.0 | 11.9 | 12 | 6.12 |
| 0.3 | 231.4 | 1.3 | 53.66 | 2.3 | 30.48 | 3.3 | 21.35 | 4.3 | 16.46 | 6.5 | 11.01 | 13 | 5.67 |
| 0.4 | 173.63 | 1.4 | 49.86 | 2.4 | 29.23 | 3.4 | 20.73 | 4.4 | 16.1 | 7.0 | 10.24 | 14 | 5.29 |
| 0.5 | 138.98 | 1.5 | 46.56 | 2.5 | 28.07 | 3.5 | 20.15 | 4.5 | 15.75 | 7.5 | 9.58 | 15 | 4.96 |
| 0.6 | 115.87 | 1.6 | 43.67 | 2.6 | 27 | 3.6 | 19.6 | 4.6 | 15.41 | 8.0 | 9.01 | 16 | 4.67 |
| 0.7 | 99.36 | 1.7 | 41.12 | 2.7 | 26.02 | 3.7 | 19.08 | 4.7 | 15.09 | 8.5 | 8.5 | 17 | 4.41 |
| 0.8 | 86.99 | 1.8 | 38.85 | 2.8 | 25.1 | 3.8 | 18.59 | 4.8 | 14.78 | 9.0 | 8.04 | 18 | 4.19 |
| 0.9 | 77.36 | 1.9 | 36.83 | 2.9 | 24.25 | 3.9 | 18.12 | 4.9 | 14.49 | 9.5 | 7.64 | 19 | 3.98 |
| 1.0 | 69.66 | 2.0 | 35 | 3.0 | 23.45 | 4.0 | 17.67 | 5.0 | 14.21 | 10 | 7.27 | 20 | 3.8 |
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