Finance calculator

Free annual rate of return calculator

Calculate the annualized rate of return on any investment — enter starting and ending values and the number of years, updated live, as you type.

InputsLive
Start value
$
End value
$
Years
yrs
Result
CAGR
12.47%
Total growth: 80% over 5 years
CAGR12.47%
Total growth80%
Start value$10,000
End value$18,000

CAGR is a smoothed rate and doesn't reflect actual year-to-year volatility. Past returns don't predict future performance.

Results are estimates. Consult a professional.

How it's calculated

How the annual rate of return calculator works

The annual rate of return (ARR) — also called the Compound Annual Growth Rate or CAGR — converts the total growth of an investment over multiple years into a single equivalent yearly rate. It answers: 'What consistent annual return would have produced the same result?'

ARR = (Ending Value / Beginning Value)^(1 / Years) 1
Equivalently:
ARR = (FV / PV)^(1/n) 1
where: FV = ending (future) value
PV = beginning (present) value
n = number of years held
Compound annual growth rate (CAGR) explained — InvestopediaSEC guide to understanding investment returns
Example

Worked example: $8,000 grows to $14,500 in 7 years

Example: Investment grows from $8,000 to $14,500 over 7 years

You invest $8,000 in a fund. Seven years later the account is worth $14,500. What was your annualised rate of return?

ARR = ($14,500 / $8,000)^(1/7) 1
ARR = (1.8125)^(0.1429) 1
ARR = 1.0887 1
ARR = 0.0887 = 8.9%
8.9% / yr
Your portfolio compounded at 8.9% per year — roughly in line with long-run U.S. equity market averages.
Quick reference

Growth of $10,000 at various annual rates of return

The table shows what a $10,000 starting investment grows to at different ARRs over 5, 10, and 20 years, illustrating the powerful effect of compounding over longer horizons.

Annual RateAfter 5 YearsAfter 10 YearsAfter 20 Years
5%$12,763$16,289$26,533
7%$14,026$19,672$38,697
9%$15,386$23,674$56,044
12%$17,623$31,059$96,463

Source: FV = $10,000 × (1 + ARR)ⁿ; rounded to nearest dollar.

Practical tips

Tips for evaluating your annual rate of return

ARR is one of the most useful benchmarks for comparing investments, but it can be misleading if misread. These five tips help you use it correctly.

  • Always compare ARR over the same period — a 5-year ARR and a 20-year ARR for the same fund will differ; ensure time frames match when benchmarking.
  • Account for fees before calculating — compute ARR using the net ending value after management fees, not the gross return; a 10% gross with 1.5% fees is really 8.5%.
  • Adjust for inflation to find real returns — divide by (1 + inflation rate) to convert a nominal ARR into a real ARR that reflects true purchasing-power gain.
  • Don't confuse ARR with average annual return — the arithmetic average of annual returns will always be higher than the CAGR; only the CAGR reflects actual compounded wealth.
  • Include dividends in the ending value — if dividends were reinvested, use the total-return ending value; excluding them dramatically understates ARR for dividend-paying assets.
Accuracy & limits

Accuracy and limitations

ARR assumes smooth, continuous growth at a fixed rate between the start and end dates. It does not capture volatility, drawdown risk, or intermediate cash flows such as dividends received in cash, partial withdrawals, or additional deposits. If you added money during the period, a money-weighted rate of return (MWRR/IRR) will give a more accurate picture than a simple ARR calculation.

For the most accurate picture, use the total-return ending value — one that includes dividends reinvested and any capital gains distributions — rather than price appreciation alone.

Not financial advice — consult a financial professional for your specific situation.

Glossary

Key terms

The equivalent yearly growth rate that would turn the beginning value into the ending value over the given number of years.
The original amount invested or the portfolio value at the start of the measurement period.
The portfolio or investment value at the end of the period, ideally including all reinvested income.
Compound Annual Growth Rate — mathematically identical to ARR for investments with no interim cash flows.
Nominal ARR is before inflation; real ARR subtracts inflation to measure actual purchasing-power growth.
Also called IRR — accounts for the timing and size of cash flows in or out of the portfolio, unlike simple ARR.
The complete investment gain including price appreciation, reinvested dividends, and capital gains — the correct basis for ARR when all income is reinvested.
About

About this calculator

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Questions

Frequently asked questions about the free annual rate of return calculator

An annual rate of return calculator is a free online tool that helps you solve for the annualized return given initial, periodic deposits, and final value. Numerical solver — finds r such that FV equation balances. It runs entirely in your browser with instant results and no sign-up.
No — actual loan terms depend on credit, income docs, and lender underwriting. Use this for planning and what-if scenarios; get a real Loan Estimate before making decisions.
When the calculator asks for them. PITI calculations include property tax, insurance, and PMI; raw P&I calculations don't.
Lenders round payment amounts and may include escrow buffers. Property tax and insurance change over time. Real payments vary 1-5% from these estimates.

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