The formula
How to calculate annualized return
The compound annual growth rate is the steady yearly return that would have taken an investment from its starting value to its ending value. It is the only fair way to compare holdings kept for different lengths of time.
The intuitive shortcut — total return divided by years — overstates the answer, because it ignores compounding. An 85% gain over seven years is not 12.1% a year; it is 9.2%, and the gap widens the longer the period.
The inputs, one by one:
- Value at the start
- Value at the end
- Years held (years)
Results appear immediately — there is nothing to submit. Changing a field rewrites the link, so you can share the exact scenario you are looking at.
Where a figure is not immediately to hand — a precise interest rate, an exact balance — a reasonable estimate is a perfectly good starting point. Because every result updates instantly, refining a rough guess into the real figure once you have it takes a moment, and nothing about the calculation depends on getting it exactly right on the first attempt.
Why annualized return matters
The formula behind annualized return is standard and has not changed in decades; what changes is the situation it gets applied to. Two households can run the identical calculation and land on very different conclusions once their own numbers — income, rate, term, balance — are dropped in, which is why a generic textbook example is less useful than a calculator you can adjust to match your own circumstances.
Beyond a one-off check, the same calculation is worth revisiting whenever the underlying numbers change — a new interest rate, a change in income, a different term. Because the figures live in the page's own web address, coming back to update just one field and compare the new result against the old one takes seconds rather than starting again from a blank page.
This kind of calculation rarely stands entirely alone. A annualized return figure usually feeds into a wider decision — how it compares with a competing offer, whether it fits inside a monthly budget, what it does to a longer-term plan — and the value of having it as an exact number rather than a rough guess is that those follow-on comparisons stop being guesswork too. Once one figure in a decision is precise, it is worth making the effort to get the others precise as well, rather than mixing an exact calculation with several estimates and treating the result as equally reliable.
Where the same calculation needs to be run for several different scenarios side by side — three loan offers, two savings plans — the fastest approach is usually to open the calculator in a second browser tab for each one, so that the results can be compared directly rather than overwriting each other in a single set of fields.
Worked example
Here is the calculation with the starting values:
- Value at the start: 10,000
- Value at the end: 18,500
- Years held: 7 years
That gives:
- Annualised return (CAGR): 9.19 %
- Total return: 85 %
- Money multiple: 1.85 ×
These figures are only the calculator's own starting values, included so the working is visible rather than hidden inside the tool above. Replace them with your own numbers and the same arithmetic applies — nothing about the method changes, only the inputs feeding it.
Reading the result
CAGR is a smoothed figure. It describes the endpoints and says nothing about the path: two holdings with the same CAGR can have had wildly different volatility, and one of them may have been unholdable along the way.
Where this goes wrong. Ignoring deposits and withdrawals. If money went in or out during the period, CAGR on the account balance is meaningless — the correct measure is a money-weighted return such as IRR or XIRR.
A useful check on any unfamiliar result is to compare it against a rough mental estimate first — round the inputs to convenient numbers and see whether the calculator's answer lands in roughly the same territory. A wildly different figure usually means one of the fields was entered in the wrong unit, most often a percentage typed as a whole number where a decimal was expected, or the reverse.
No. The arithmetic average of yearly returns is always at least as high as the CAGR, and the gap grows with volatility. A year of +50% followed by a year of −50% averages 0% but has a CAGR of −13.4%, which is the figure your balance actually reflects.
Global equities have returned roughly 7–8% a year in nominal terms over long periods, or about 5% after inflation. Any figure well above that over a short holding period is more likely luck or leverage than skill.
It returns annualised return (CAGR). With 10,000 value at the start, 18,500 value at the end and 7 years years held, that comes to 9.19 %. Change any field and the figure moves with it.
Whenever one of the underlying figures changes — a new interest rate, a different balance, an updated term — since the result only reflects what is currently in the fields. There is no need to keep a separate record of past results; the web address for a filled-in version already carries the figures used to produce it.
Not unless a tax rate or a fee is explicitly one of the inputs above. Where it is not, the figure shown is a gross calculation, and any tax due depends on your personal circumstances and current tax rules, which are worth checking separately.
The arithmetic itself is exact — the calculator applies the formula shown above precisely, with no rounding until the final figure is displayed. The uncertainty, where it exists, is entirely in the inputs: an estimated rate or an approximate balance carries that same approximation through to the result.