— Charlie Munger
The compound annual growth rate (CAGR) strips out the noise of year-to-year swings and leaves you with the single number your whole holding period boils down to.
Enter what you invested, how long you held it, and what your investment was worth at the end.
Divide ending value by initial investment to get the total growth multiple:
ending ÷ initial
$25,000 ÷ $10,000 = 2.5×
Measure the holding period in years, including fractional years for partial-year stretches:
(end date − start date) ÷ 365.25
(01/01/30 − 01/01/25) ÷ 365.25 = 1,826 days ÷ 365.25 = 5.00 years
Take that multiple to the power of one over the years, then subtract one:
multiple^(1/years) − 1
2.5^(1/5.00) − 1 = 20.11%
Same math as above, run backwards: hold your money at a fixed annual rate long enough, and it doubles. Here's how long that takes at a few common rates.
| Growth rate | Years to double |
|---|---|
| 3% | 23.4yrs |
| 5% | 14.2yrs |
| 8% | 9.0yrs |
| 10% | 7.3yrs |
| 12% | 6.1yrs |
| 15% | 5.0yrs |
| 25% | 3.1yrs |
Want to calculate your own time to double? Input a growth rate below and it will tell you how long it takes.