CAGR calculator
The yearly growth rate between two values, and what a fixed rate adds up to over time.
CAGR (compound annual growth rate)
The steady yearly rate that gets from the first value to the second. Years can be fractional: 18 months is 1.5.
From to over years
Working: (200 ÷ 100)^(1 ÷ 5) − 1 = 14.8698%
Repeated percentage change
Each period's change applies to the result of the one before. Use a minus sign for a fall, like −5.
Start at , change by each period, for periods
Working: 100 × (1 + 5 ÷ 100)^10 = 162.8895
- Change
- +62.8895
Not 50%: each period's change applies to the value left by the one before.
What CAGR means
The compound annual growth rate is the steady yearly rate that would take the starting value to the ending value. Growing from 100 to 200 in 5 years is a CAGR of 14.87%, because 100 × 1.1487 five times over comes to 200. The real year-to-year changes may have been bumpy; CAGR smooths them into one number.
The formula
(end ÷ start)1 ÷ years − 1. Years can be fractional: 18 months is 1.5.
Why not divide by the years?
Doubling over 5 years is a 100% rise, but it isn't 20% a year. 20% a year for 5 years compounds to a 148.83% rise. The repeated change calculator shows how a fixed rate builds up, and works for falls too: −10% a year for 3 years leaves 72.9% of the start.
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