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Annualized vs cumulative return

SeeFund · educational series · plain math, no forecasts

“Up +315% over 10 years” and “up 31.5% a year” are not the same thing — compounding means the annualized figure is far lower than dividing by the years. This tool converts either way, so the two numbers never get confused again.

Cumulative → annualized

10 years

Annualized → cumulative

10 years

Annualized = the single yearly rate that would produce the whole cumulative number through compounding (a geometric average). It is a summary of the past, not a promise of the future.

The trap of dividing

Dividing +315% by 10 gives +31.5%/yr — wrong by a lot. The true annualized figure is the rate that compounds to the same total: roughly +15.3%/yr over 10 years gets you to +315%. Compounding rewards you on top of previous gains, so small yearly numbers build into big totals — and the reverse is why a big cumulative headline can look scarier or rosier than the yearly reality.

Why SeeFund shows both

Every fund page shows the total return (what your money actually did) and the per-year figure (fair for comparing funds held for different lengths), and backtests report the window you chose. Reading the two together is how a big headline becomes an honest number.

FAQ

Why isn’t +315% over 10 years equal to +31.5%/yr?

Because growth compounds. +31.5% every year for 10 years multiplies money ~12.9×; +315% total multiplies it ~4.15×. The annualized figure is the geometric average that produces the cumulative total.

Which number should I compare?

Annualized for comparing funds of different lengths; cumulative to see what happened to your money. Report both.

Is this a forecast?

No — it converts two ways of saying the same past number.

See total and per-year returns side by side for US-listed ETFs, and switch between 1/3/5/10-year windows: open SeeFund.

More: Guide: total vs annualized return · Fee impact · Drawdown recovery · All tools