ROI & Investment Returns

How to Calculate Annualized Return

Annualized return asks what constant compound rate would grow the beginning value into the ending value over the holding period.

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Quick answer

Annualized return asks what constant compound rate would grow the beginning value into the ending value over the holding period.

Formula or method

Annualized return = (ending/beginning)1/years − 1

Keep units, percentages and time periods consistent. The formula is useful as a transparent check on the calculator result and helps explain why changing one input changes the answer.

Step-by-step

  1. Divide ending by beginning.
  2. Raise to 1/years.
  3. Subtract 1.
  4. Convert to percent.

Worked example

$10,000 growing to $13,500 in three years has annualized return of about 10.52%, while total return is 35%.

How to interpret the result

Annualization helps comparisons but does not show volatility or intermediate cash flows.

When the answer is used for a purchase, loan, payroll decision, construction order, school grade, health estimate or other real-world choice, verify the assumptions that matter in that context. Accurate arithmetic still depends on accurate inputs.

Common mistakes

  • Dividing total return by years.
  • Using invalid zero/negative starting values.
  • Ignoring deposits and withdrawals.

Frequently asked questions

Same as CAGR?

For a simple beginning/end value over years, essentially yes.

Does it show risk?

No.

Can a short period be annualized?

Mathematically yes, but extrapolation can be misleading.

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