CAGR calculator
CAGR is the smooth annual rate that would take the start value to the end value. It hides volatility, which is both its use and its danger.
Compound annual growth rate
13.9852%
- Total return over the period
- 150.000 %
- Multiple of the starting value
- 2.5000
- Years to double at this rate
- 5.30
Show the working
- Starting value = 10 000
- Ending value = 25 000
- Years = 7
- Multiple of the starting value = 25 000 / 10 000 = 2.5
- Compound annual growth rate = (2.5^(1/7) - 1) * 100 = 13.9852
- Total return over the period = (2.5 - 1) * 100 = 150
- Years to double at this rate = 13.9852 > 0 ? log(2, 1 + 13.9852/100) : 0 = 5.2953
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- CAGR = (end / start)^(1/years) - 1
A CAGR says nothing about the path taken. Two investments with identical CAGR can have wildly different risk.
This is arithmetic, not financial advice. Real products carry fees, tax treatment and terms that no formula captures.