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Average Return Calculator

Compare arithmetic and geometric average return from a series of periodic investment results. Use it to test different inputs quickly, compare outcomes, and understand the main factors behind the result before moving on to related tools or deeper guidance.

Finance planning estimate

Topic review: James Whitfield

Retired Financial Planner. Assigned as the finance topic reviewer for mortgage, retirement, annuity, pension, and long-term planning calculators.

Reviewed 1 March 2026 Updated 29 March 2026 View reviewer profile Contact editorial team

Inputs

Enter one periodic investment return per line, comma, or space. The arithmetic mean shows the plain average of those returns, while the geometric mean shows the compounded path they actually produced.

Example paths

Average return worksheet

4.03% annualized geometric return

Based on 5 years. Use the geometric figure to compare multi-period growth, and treat the arithmetic mean as the simple average of the entered returns.

Arithmetic mean / year
4.4%
Geometric mean / year
4.03%
Cumulative return
21.84%
Ending balance
$12,183.76
Volatility drag
0.37 pts
Best / worst period
15% / -8%

Net gain

$2,183.76

Standard deviation

9.76%

Arithmetic average exceeds geometric average whenever returns bounce around. The gap is the volatility drag: the more uneven the path, the less useful the simple average becomes as a picture of actual compounded growth.

Period-by-period path

Growth is shown on a starting value of 1.00 so you can see the compounded path directly.

PeriodReturnGrowth factorCumulative value
112%1.121.12
2-8%0.921.03
315%1.151.18
46%1.061.26
5-3%0.971.22
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Investment Analysis

Average return calculator: compare arithmetic average, geometric average

An average return calculator helps you see the difference between a simple average of periodic returns and the compounded path an investment actually followed. This page calculates both the arithmetic average return and the geometric average return from a series of equally spaced results, then annualizes the compounded figure so you can compare it with other investments more honestly.

What this calculator is measuring

This calculator is designed for a sequence of evenly spaced investment returns such as annual, quarterly, monthly, or weekly results. It takes the entered percentage returns in order, builds the compounded path they create, and then reports both the arithmetic mean and the geometric mean.

That distinction matters because arithmetic average return answers a narrow question: what was the plain average of the entered percentages? Geometric average return answers the more practical investing question: what constant periodic rate would have produced the same compounded ending value over the same path length?

When markets are volatile, the arithmetic figure is usually higher than the geometric figure. That gap is the volatility drag, and it is why a simple average can overstate what an investor actually experienced over multiple periods.

How the average return formulas work

The arithmetic average is the mean of the entered periodic returns. It is useful for describing the centre of the return series, but it does not describe compounded wealth growth on its own.

The geometric average first converts each return into a growth factor, multiplies the factors together, and then takes the nth root. That makes it the correct way to summarise a multi-period compounded path when the periods are evenly spaced and there are no external cash flows entering or leaving the portfolio during the measurement window.

The annualized figure on this page comes from the geometric result and the selected frequency assumption. If the returns entered are monthly, for example, the annualized figure converts that compounded monthly path into one annual rate so you can compare it with other annual-return benchmarks more directly.

Arithmetic average = (r1 + r2 + ... + rn) / n

The plain mean of the entered periodic percentage returns.

Geometric average = [(1 + r1)(1 + r2)...(1 + rn)]^(1/n) − 1

The compounded average periodic return when each return is converted into a growth factor.

Annualized return = [(1 + r1)(1 + r2)...(1 + rn)]^(m/n) − 1

Annualizes the compounded path when m is the selected number of periods per year.

Worked example: why average return and CAGR-style growth can differ

Suppose an investment earns +50% in the first year and −33.33% in the second year. The arithmetic average is about +8.33% per year, which can sound positive if you stop there. But the investment ends almost exactly where it started, because 1.50 multiplied by about 0.6667 brings the path back to 1.00.

That means the geometric average return over the two-year path is about 0%, not +8.33%. This is the classic reason investors should not treat the simple average as if it were the same thing as a compounded annual growth rate.

The period table on this page makes that visible by showing the cumulative value path. If the cumulative line finishes close to 1.00 on a starting value of 1, the investment has not created meaningful compounded growth regardless of how flattering the arithmetic average looks.

What this result does not cover

This calculator assumes all entered returns are evenly spaced and belong to one uninterrupted investment path. It does not calculate money-weighted return, internal rate of return, or any performance measure that adjusts for deposits, withdrawals, or irregular cash-flow timing.

It also does not adjust for taxes, fees, inflation, or currency effects unless those effects are already embedded in the returns you enter. If you want real return after inflation, after-fee portfolio return, or a cash-flow-aware measure, you need a different method.

Use the arithmetic and geometric figures here as performance summaries, not as forward-looking promises. Real markets do not deliver a steady average every period, and annualizing a short or unusually strong sample can create expectations that are not realistic for future planning.

Frequently asked questions

What is the difference between arithmetic average return and geometric average return?

Arithmetic average return is the plain mean of the entered percentages, while geometric average return measures the compounded path they actually produced. When returns are uneven, the arithmetic mean is usually higher because it ignores the compounding damage caused by losses. For multi-period investment growth, the geometric figure is usually the more honest summary.

Is the annualized result on this page the same as CAGR?

It uses the same compounding idea as CAGR, but it is derived from a full series of periodic returns rather than just a starting value and ending value. The page multiplies the growth factors together, then annualizes the compounded result using the selected number of periods per year. That makes it a CAGR-style annualized measure for evenly spaced periodic data.

Can I use this average return calculator when I made deposits or withdrawals during the period?

Not reliably. Once money moves in or out of the investment during the measurement window, a simple average-return summary can become misleading. In that case you usually need a money-weighted return or IRR-style method that reflects external cash flows and their timing.

Why can the arithmetic average be positive even when the investment went nowhere?

Because losses hurt compounding more than equally sized gains help it. A gain of 50% followed by a loss of 50% does not leave you flat — it leaves you down 25%. The arithmetic average of those two numbers is 0%, but the compounded outcome is negative, which is why the geometric measure is the better guide to actual growth.

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