How Long to Double Money at 14%
At 14% a year, money doubles in 5.3 years. The Rule of 72 says 5.1.
Doubles in
5.3 years
Quadruples in
10.6 years
Grows 8 times in
15.9 years
Rule of 72 estimate
5.1 years
What different amounts become
| Start | After 5.3 years | After 10.6 years | After 15.9 years |
|---|---|---|---|
| $1,000 | $2,000 | $4,000 | $8,000 |
| $5,000 | $10,000 | $20,000 | $40,000 |
| $10,000 | $20,000 | $40,000 | $80,000 |
| $25,000 | $50,000 | $100,000 | $200,000 |
| $50,000 | $100,000 | $200,000 | $400,000 |
| $100,000 | $200,000 | $400,000 | $800,000 |
Growth over time at 14%
| Years | $1,000 becomes | $10,000 becomes | Growth |
|---|---|---|---|
| 5 | $1,925 | $19,254 | 1.93x |
| 10 | $3,707 | $37,072 | 3.71x |
| 15 | $7,138 | $71,379 | 7.14x |
| 20 | $13,743 | $137,435 | 13.74x |
| 25 | $26,462 | $264,619 | 26.46x |
| 30 | $50,950 | $509,502 | 50.95x |
| 40 | $188,884 | $1,888,835 | 188.88x |
| 50 | $700,233 | $7,002,330 | 700.23x |
How it is worked out
Years to double = ln(2) / ln(1 + r)
ln = natural logarithm, r = rate as a decimal.
The Rule of 72 is the shortcut version. Divide 72 by the rate.
At 14% the shortcut is off by 0.1 years.