How it’s calculated
- CAGR
- equals (Ending Value ÷ Starting Value)^(1 ÷ Years) − 1
- Doubling Time
- equals ln 2 ÷ ln(1 + CAGR)
CAGR smooths out the ups and downs between the start and end points. It answers: “If growth had been perfectly steady, what yearly rate would have produced this result?”
Worked example
A wholesale business grew revenue from $1.2 million to $2.1 million over three years.
- Total growth = $2.1M ÷ $1.2M − 1 = 75%
- CAGR = (1.75)^(1/3) − 1 = 20.51%
- Doubling time at that rate ≈ 3.72 years
Dividing the 75% total by three years (25%) would overstate the yearly rate, because growth compounds.
For a single-period change, use the Percentage Change Calculator.
Assumptions and limitations
- Only the start and end values matter. Two businesses with the same CAGR can have very different paths in between.
- The starting value must be positive. CAGR isn’t meaningful when starting from zero or a negative number.
- For investments with deposits or withdrawals along the way, CAGR on the account balance is misleading; use a money-weighted return instead.
Results are estimates for information only and are not financial, tax or legal advice. See our disclaimer.
