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Annualized return: meaning and formula

This page defines annualized return in plain terms, shows the formula, walks through an example and lists the cases where the figure misleads.

Extrade Pakistan editorial team ·

On this page
  1. What is annualized return
  2. Annualized return formula
  3. Worked example
  4. Where you see the term
  5. Edge cases experienced traders should know
  6. Related terms
  7. Frequent questions

What is annualized return

Annualized return is the return of an investment or trading account over any period, converted to the rate it would equal if it had run for a full year at the same pace.

It lets you compare results from periods of different lengths, such as a month on one account and several years on a fund, on the same yearly scale.

Annualized return formula

The standard (compound, or geometric) version assumes gains are reinvested:

Annualized return = (Start × (End ÷ Start)^(Y ÷ H) − Start) ÷ Start

The term (End ÷ Start)^(Y ÷ H) is the yearly growth factor. Subtracting the starting value and dividing by it turns that factor into a percentage.

A simpler (arithmetic) version scales the total return in proportion to time, with no compounding. It gives a lower figure for gains over periods shorter than a year. Always check which method a report uses.

Worked example

Take a hypothetical account that gains a small percentage in a single month.

Either way, a short good month becomes a large yearly number. The account did not earn that rate. The figure only shows what the month would equal if it repeated all year. It is not a forecast.

The opposite case also applies. A total return earned over several years, once annualized, looks much smaller than the total. That yearly figure is the CAGR. To try your own figures, use the tools on the calculators page.

Where you see the term

Edge cases experienced traders should know

Frequent questions

What does annualized return mean in simple words?

It is a return from any period, restated as a yearly rate so that results from different periods can be compared.

Is annualized return the same as CAGR?

CAGR is the compound annualized return over several years. Over periods longer than a year, the two terms usually mean the same thing.

Why is my monthly result so large when annualized?

Annualizing assumes the same pace for a whole year. It does not mean the result will repeat.

Does annualized return include risk?

No. It shows only the rate. Look at volatility and drawdowns separately.

Which formula should I use?

The compound formula is the standard one when gains stay invested. Whichever method you use, state it, and do not compare a compound figure with a simple one.

Sources

  1. State Bank of Pakistan · sbp.org.pk — checked 2026-11-11

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