Geometric Mean Return
Compound annual growth rate of returns
Working out compound annual growth rate of returns is easier with Geometric Mean Return — a free tool that does the math for you. Fill in Annual Returns (comma sep %) and read your answer immediately. The calculation is displayed with all its working, so the number always makes sense. Use it whenever you need a reliable number without opening a spreadsheet. Privacy-first: the calculation is local, your data stays yours, and the tool keeps working offline. Searching for geometric mean return calculator cagr or a quick estimate? This tool covers it — free, fast, and private. It is one of the fastest ways to get from question to answer without a spreadsheet. Give Geometric Mean Return a try — it takes seconds and costs nothing.
What does the page calculator do?
Geometric Mean Return works out the geometric mean from the Annual Returns, following standard Finance conventions — the page defaults produce a geometric mean of 5.89%.
- Inputs: Annual Returns.
- Output: the geometric mean, plus the intermediate steps behind it.
- Method: the standard Finance formula, evaluated entirely in your browser.
Quick answer
With the default inputs (annual returns of 10,-5,15,8,-3,12), geometric mean return returns a geometric mean of 5.89%. Assumptions and limits are summarized below.
How does it work?
Geometric Mean Return computes the geometric mean directly from your inputs — the Annual Returns feed the formula. Nothing is uploaded: the math runs locally in your browser and the result appears as you type.
How it works
Geometric Mean Return answers one question well — given the values you provide, what is the geometric mean? Enter the Annual Returns, and the result panel returns the value with the full working underneath.
How to use it
- Annual Returns — one of the values the calculation builds from; the result reflects exactly what you type here.
- The output panel in geometric mean return leads with the headline result and follows with the steps behind it, so the value can be checked rather than assumed.
- Iterate. Vary the inputs one at a time; the movement in the figure shows which lever matters most for your geometric mean return question.
The formula behind the result
The relationship between the inputs is fixed by the formula, and Geometric Mean Return makes each substitution explicit so nothing about the output is hidden.
Worked example: with annual returns of 10,-5,15,8,-3,12, this geometric mean return calculation returns Geometric Mean: 5.89%. The same run reports Arithmetic mean: 6.17%.
The steps it follows:
- Product = (1+10%) × (1+-5%) × (1+15%) × (1+8%) × (1+-3%) × (1+12%)
- Product = 1.410028
- Geometric mean = product^(1/n) − 1
- = 1.410028^(1/6) − 1 = 5.89%
Substitute your own values and the same steps produce your answer — that is the point of a calculator that shows its working.
Understanding the result
The geometric mean is the headline answer; the supporting figures beneath it and the step list give the surrounding context needed to judge it.
Where it helps
Geometric Mean Return fits planning and checking: planning ahead, comparing scenarios side by side, and double-checking a figure before acting on it, or any moment when the result needs to be right the first time.
Common mistakes
Mixing up inputs with similar labels is the classic geometric mean return mistake; the steps panel is the quickest way to spot a value that landed in the wrong field.
Tip: Run Geometric Mean Return twice with deliberately low and high inputs; the spread tells you how sensitive the figure is, which a single run never shows.
Assumptions and limitations
Geometric Mean Return assumes the units shown in each label — entering values in different units will skew the figure proportionally.
Why use this calculator
Because it is fast and private — Geometric Mean Return runs entirely in your browser, nothing is uploaded, and no account is needed.
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Frequently Asked Questions
What does the tool calculate?
Geometric Mean Return is built for geometric mean return questions that need a defensible number: the working is always visible, the inputs accept your own values, and the result updates as you type. Because the page doubles as documentation: Geometric Mean Return puts the formula, a worked example, and the assumptions right beside the calculator.
How is the result calculated?
The first steps are product = (1+10%) × (1+-5%) × (1+15%) × (1+8%) × (1+-3%) × (1+12%), then product = 1.410028. Geometric Mean Return lists every intermediate step in the result panel, so the derivation of the geometric mean can be checked line by line.
What do I need to use the Geometric Mean Return?
The Annual Returns it asks for, or the page defaults if you just want to see the calculation work. Each input maps directly to the formula, and changing any one of them recalculates the geometric mean instantly.
What does the result from the tool mean?
The main number the geometric mean return returns is the geometric mean for your exact inputs, and the supporting figures and step list give it context. The model behind Geometric Mean Return covers the standard case; special cases, edge values, or jurisdiction-specific rules may need manual adjustment.
When is the page most useful?
Typical uses for Geometric Mean Return include planning ahead, comparing scenarios side by side, and double-checking a figure before acting on it — anywhere the figure needs to be defensible rather than guessed. If the geometric mean looks wrong, read the steps panel before re-entering anything; it usually shows exactly where the number departed from expectation.