Annualized Rate of Return Calculator

Convert any investment gain or loss into a per-year compound rate. Enter the starting value, ending value, and holding period to get the annualized return (CAGR), total return, and dollar gain.

Quick Facts

Formula
Annualized return = (Final ÷ Initial)^(1 ÷ Years) − 1
Months are converted at 12 per year and days at 365 per year. This is the point-to-point CAGR: it assumes a single lump sum with no deposits or withdrawals in between.

Your Results

Calculated
Annualized return
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Compound rate per year (CAGR)
Total return
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Overall gain or loss (%)
Total gain / loss ($)
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Final value minus initial investment
Simple annual return
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Total return ÷ years, no compounding

Ready

Enter your starting value, ending value, and holding period, then press Calculate.

How the Annualized Rate of Return is calculated

This tool converts a point-to-point investment result into a per-year compound rate so that holdings of different lengths can be compared on equal footing. The core formula is Annualized return = (Final value ÷ Initial value)1/Years − 1 — the same calculation as the compound annual growth rate (CAGR). A 3-month trade and a 5-year position can then be judged by the same yardstick: the constant yearly rate that would have produced the same result.

The formulas

  • Total return: (Final ÷ Initial − 1) × 100. The overall percentage gain or loss for the whole holding period, ignoring time.
  • Annualized return: (Final ÷ Initial)1/Years − 1, expressed as a percentage. If you entered months or days, they are converted to years at 12 months or 365 days per year.
  • Simple annual return: total return ÷ years. Shown for comparison — it ignores compounding, so for multi-year gains it is always higher than the annualized (compound) rate.

Worked example

  • $10,000 grows to $15,000 over 3 years: total return is 50%, and the dollar gain is $5,000.
  • Annualized return = (15,000 ÷ 10,000)1/3 − 1 = 1.50.3333 − 1 ≈ 14.47% per year.
  • The simple average, 50% ÷ 3 ≈ 16.67% per year, overstates the rate because each year compounds on the last.

Using the output

Enter net figures — include fees, commissions, and reinvested dividends in your final value if you want a true net return — and measure the period from your actual transaction dates. Compare the annualized result against a relevant benchmark index measured over the same window, and remember that this formula assumes a single lump sum: if you added or withdrew money along the way, a money-weighted method such as IRR is the right tool instead.

Frequently Asked Questions

What is the formula for annualized rate of return?
Annualized return = (Final value ÷ Initial value)^(1 ÷ Years) − 1. It is the single constant yearly compound rate that turns your starting value into your ending value over the holding period. For example, $10,000 growing to $15,000 over 3 years is (1.5)^(1/3) − 1 ≈ 14.47% per year, even though the total return is 50%.
Is annualized return the same as CAGR?
For a single lump-sum investment with no money added or removed in between, yes — this point-to-point formula is exactly the compound annual growth rate (CAGR). If you made deposits or withdrawals during the period, use a money-weighted method such as internal rate of return (IRR) instead, because CAGR cannot account for interim cash flows.
Why is my annualized return lower than the simple average?
Because of compounding. Dividing total return by years (the simple average) ignores that each year's growth builds on the previous year's. A 50% gain over 3 years averages 16.67% per year arithmetically, but only 14.47% per year compounded — the compound rate is always the lower of the two for a multi-year gain.
Can the annualized return be negative?
Yes. If the final value is below the initial investment, the formula produces a negative rate — the constant yearly rate of decline that matches your loss. For example, $10,000 falling to $8,000 over 2 years is (0.8)^(1/2) − 1 ≈ −10.56% per year. A final value of zero means −100% per year: a total loss.

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