Annualized Rate of Return Calculator
Convert a return earned over a period other than one year into an equivalent annual rate for fair comparison.
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Results
At a glance:The annualized (effective) rate of return converts a return earned over a period other than one year into an equivalent annual rate, so investments of different holding periods and frequencies can be compared on the same basis. Formula: annualized rate = (1 + r)^n - 1, where r is the rate per period (decimal) and n is the number of periods in a year. WARNING: This is a nominal rate assuming the same period return recurs; it does not reflect volatility, fees or reinvestment risk.
Formula
Annualized return = (1 + r)^n − 1, where r = return per period (decimal), n = periods per year.
Example: quarterly 5% (n = 4) → (1.05)^4 − 1 ≈ 21.55%.
How to Use
- Enter the return earned in a single period (as a percentage).
- Enter how many such periods make up a year (12, 4, 2 ...).
- View the equivalent annualized rate of return.
FAQ
Why annualize a return?
Different investments earn returns over different periods (monthly, quarterly, semi-annual). Annualizing puts them on a common one-year basis so you can compare them fairly.
How is the annualized return calculated?
Use (1 + r)^n - 1, where r is the per-period rate as a decimal and n is the number of periods per year. A monthly 1% return annualizes to (1.01)^12 - 1 = 12.68%; a quarterly 2% return annualizes to (1.02)^4 - 1 = 8.24%.
Does annualized return reflect the real risk?
No. It assumes the same period return repeats and ignores volatility, fees and reinvestment risk. It is useful for comparison but not a guarantee of future results.
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References
Content review: Calculatorism Finance Team. Results are for reference only; please refer to the relevant authorities for the official figures.