doomath Calculator
CAGR Calculator
Calculate compound annual growth rate between starting and ending values.
InputsChange a value to recalculate instantly
ResultUpdates as you type
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FORMULA & STEPSCAGR Calculator — Mathematical Derivation & Steps
2 StepsSequential Calculation Breakdown
1
Growth multiple
Compare the ending value with the starting value.
2
Annualize the growth
Take the years-th root of the growth multiple and subtract one.
λ DooMathWork with this calculation
Local · deterministic · optionalQuick mathNatural-language-style shortcuts for deterministic arithmetic.
Calculator guide
How to use the CAGR Calculator
Calculate compound annual growth rate between starting and ending values.
01Set inputsChoose values, units and assumptions.
02Apply the modelCAGR = (Ending value ÷ Starting value)^(1 ÷ Years) − 1.
03Read the resultCheck the output against the assumptions before using it.
What this calculator does
Convert total growth over several years into an equivalent annual growth rate.
Formula & method
CAGR = (Ending value ÷ Starting value)^(1 ÷ Years) − 1.
Assumptions & notes
- CAGR smooths the path and does not describe year-to-year volatility.