Return on Investment (ROI) Calculator: Total & Annualized

What does a 30.00% ROI mean?

It means the investment gained $3,000.00 on $10,000 put in — for every dollar invested, thirty cents came back as profit. Over 3 years that is an annualized ROI of 9.14% a year: the steady yearly rate that would turn $10,000 into $13,000 in 3 years. The ROI, the profit and the annualized ROI are three outputs, never the same number — the ROI is the gain as a share of the cost, the profit is the gain in dollars, and the annualized ROI is the gain as a yearly rate.

Three things to check before you trust the number

The holding period does not change the ROI. Over 1 year the ROI is still 30.00%, and over 10 years it is still 30.00%. The ROI is the gain divided by the cost, and time does not enter it — if changing the years changes your ROI, the formula is wrong.

The holding period is what the annualized ROI is for. The same 30.00% gain is 30.00% a year over 1 year, 9.14% a year over 3 years, 5.39% a year over 5 years and 2.66% a year over 10 years. Compare investments by their annualized ROI, never by their total ROI, when the holding periods differ.

Count every cost in the initial investment. The ROI is only honest if the initial investment includes everything you paid — fees, commissions, taxes and the cost of getting in. Leaving costs out inflates the ROI and misleads the decision.

Worked example

On the defaults: $10,000 invested; $13,000 final value; 3 years.

1. Profit: $13,000 − $10,000 = $3,000.00.
2. Return on investment: $3,000.00 ÷ $10,000 × 100 = 30.00%.
3. Annualized ROI: ($13,000 ÷ $10,000)^{1 ÷ 3} − 1, × 100 = 9.14% a year.
4. Smallest final value for a 25% ROI: $12,500 — at $12,500 the ROI is 25.00%, and at $12,499 it is 24.99%.
5. Largest initial investment for a 30% ROI: $10,000 — at $10,000 the ROI is 30.00%, and at $10,001 it is 29.99%.
6. Longest holding period for a 10% annualized ROI: 2 years — at 2 years the annualized ROI is 14.02%, and at 3 years it is 9.14%.

Every branch, checked

• Final value $15,000: Final value $15,000: ROI 50.00%; profit $5,000.00; annualized ROI 14.47%. A bigger final value at the same cost, so a bigger ROI — 50.00% overall, 14.47% a year (unrounded 14.471424%).
• Final value $12,000: Final value $12,000: ROI 20.00%; profit $2,000.00; annualized ROI 6.27%. A smaller final value at the same cost, so a smaller ROI — 20.00% overall, 6.27% a year.
• Initial investment $5,000: Initial investment $5,000: ROI 160.00%; profit $8,000.00; annualized ROI 37.51%. Half the cost for the same final value, so the ROI more than triples to 160.00%.
• Initial investment $20,000: Initial investment $20,000: ROI −35.00%; profit −$7,000.00; annualized ROI −13.38%. Twice the cost for the same final value, so the ROI goes negative to −35.00%.
• Holding period 1 year: Holding period 1 year: ROI 30.00%; profit $3,000.00; annualized ROI 30.00%. Over one year the ROI and the annualized ROI are the same — 30.00%.
• Holding period 5 years: Holding period 5 years: ROI 30.00%; profit $3,000.00; annualized ROI 5.39%. The same 30.00% gain over 5 years is worth only 5.39% a year.
• Holding period 10 years: Holding period 10 years: ROI 30.00%; profit $3,000.00; annualized ROI 2.66%. The same 30.00% gain over 10 years is worth only 2.66% a year.
• Final value $10,000: Final value $10,000: ROI 0.00%; profit $0.00; annualized ROI 0.00%. No gain and no loss — the final value equals the initial investment.
• Final value $8,000: Final value $8,000: ROI −20.00%; profit −$2,000.00; annualized ROI −7.17%. The final value is below the initial investment, so the ROI is −20.00%.
• Final value $20,000: Final value $20,000: ROI 100.00%; profit $10,000.00; annualized ROI 25.99%. Doubling the money in 3 years is a 100.00% ROI, 25.99% a year.

The reverses, worked backwards

• Smallest final value for the ROI to STAY at or above 25%: $12,500.00 — at $12,500.00 the figures are ROI 25.00% (unrounded 25.000000%); profit $2,500.00; annualized ROI 7.72% (unrounded 7.721735%); at the lower neighbor the figures are ROI 24.99% (unrounded 24.990000%); profit $2,499.00; annualized ROI 7.72% (unrounded 7.718862%); at the upper neighbor the figures are ROI 25.01% (unrounded 25.010000%); profit $2,501.00; annualized ROI 7.72% (unrounded 7.724607%) — verdict: STEP.
• Largest initial investment for the ROI to STAY at or above 30%: $10,000.00 — at $10,000.00 the figures are ROI 30.00% (unrounded 30.000000%); profit $3,000.00; annualized ROI 9.14% (unrounded 9.139288%); at the lower neighbor the figures are ROI 30.01% (unrounded 30.013001%); profit $3,001.00; annualized ROI 9.14% (unrounded 9.142927%); at the upper neighbor the figures are ROI 29.99% (unrounded 29.987001%); profit $2,999.00; annualized ROI 9.14% (unrounded 9.135651%) — verdict: STEP.
• Longest holding period where the annualized ROI still stays at or above 10%: 2 years — at 2 years the figures are ROI 30.00% (unrounded 30.000000%); profit $3,000.00; annualized ROI 14.02% (unrounded 14.017543%); at the lower neighbor the figures are ROI 30.00% (unrounded 30.000000%); profit $3,000.00; annualized ROI 30.00% (unrounded 30.000000%); at the upper neighbor the figures are ROI 30.00% (unrounded 30.000000%); profit $3,000.00; annualized ROI 9.14% (unrounded 9.139288%) — verdict: STEP.
• Smallest final value for the profit to STAY at or above $5,000: $15,000.00 — at $15,000.00 the figures are ROI 50.00% (unrounded 50.000000%); profit $5,000.00; annualized ROI 14.47% (unrounded 14.471424%); at the lower neighbor the figures are ROI 49.99% (unrounded 49.990000%); profit $4,999.00; annualized ROI 14.47% (unrounded 14.468880%); at the upper neighbor the figures are ROI 50.01% (unrounded 50.010000%); profit $5,001.00; annualized ROI 14.47% (unrounded 14.473968%) — verdict: STEP.
• Largest initial investment for the profit to STAY at or above $2,000: $11,000.00 — at $11,000.00 the figures are ROI 18.18% (unrounded 18.181818%); profit $2,000.00; annualized ROI 5.73% (unrounded 5.726427%); at the lower neighbor the figures are ROI 18.19% (unrounded 18.192563%); profit $2,001.00; annualized ROI 5.73% (unrounded 5.729631%); at the upper neighbor the figures are ROI 18.17% (unrounded 18.171075%); profit $1,999.00; annualized ROI 5.72% (unrounded 5.723223%) — verdict: STEP.
• Smallest final value for the annualized ROI to STAY at or above 12% over 3 years: $14,049.28 — at $14,049.28 the figures are ROI 40.49% (unrounded 40.492800%); profit $4,049.28; annualized ROI 12.00% (unrounded 12.000000%); at the lower neighbor the figures are ROI 40.49% (unrounded 40.492700%); profit $4,049.27; annualized ROI 12.00% (unrounded 11.999973%); at the upper neighbor the figures are ROI 40.49% (unrounded 40.492900%); profit $4,049.29; annualized ROI 12.00% (unrounded 12.000027%) — verdict: STEP.

What the defaults assume

The defaults are one investment of $10,000, now worth $13,000 after 3 years. They are a starting point, not a benchmark: a stock, a property and a marketing campaign have very different ROIs, and the right ROI for your investment is the one that beats what the money would have earned elsewhere. Change the three numbers to your own and the calculator recomputes instantly. The annualized ROI is a steady yearly rate — it is not a promise that the investment grew 9.14% every year: real investments grow unevenly, and the annualized figure smooths the path into one number.

These notes repeat in every explainer section because this page is built to be read start to finish: the defaults are one investment’s numbers, not a standard; the holding period does not change the ROI; the annualized ROI is what you compare across holding periods; and every cost belongs in the initial investment.

Output · formula · meaning

Who uses this

• An investor who compares a stock, a fund and a property and wants one number that puts them on the same footing.
• A small business owner who judges a marketing campaign or a new machine by what it returned against what it cost.
• A landlord who works out whether the rent and the sale price together beat what the deposit would have earned elsewhere.
• A student who needs the ROI formula worked step by step for a finance assignment.

Accuracy & limitations

The calculator does the arithmetic exactly — the profit is the final value minus the initial investment, the ROI is the profit divided by the initial investment, and the annualized ROI is the ratio to the power of one over the years, minus one — and every figure on this page is checked against an independent model. What it cannot do is judge the investment: a 30.00% ROI over 3 years says nothing about the risk taken, the cash flows in between, or whether the money would have earned more elsewhere. It also treats the investment as one payment in and one value out — an investment with money added or taken out along the way needs a time-weighted return, not this formula. And the annualized ROI is undefined when the holding period is 0 years: with no time there is no yearly rate, and the calculator says so plainly rather than printing a number.

Cite this calculator

Return on investment = (final value − initial investment) ÷ initial investment × 100; profit = final value − initial investment; annualized ROI = (final value ÷ initial investment)^{1 ÷ years} − 1, × 100. On the defaults — $10,000 invested, $13,000 final value, 3 years — the profit is $3,000.00, the ROI is 30.00% and the annualized ROI is 9.14% a year. Smallest final value for a 25% ROI: $12,500.00. Largest initial investment for a 30% ROI: $10,000.00. Longest holding period for a 10% annualized ROI: 2 years. Smallest final value for a $5,000 profit: $15,000.00. Largest initial investment for a $2,000 profit: $11,000.00. Smallest final value for a 12% annualized ROI over 3 years: $14,049.28. Source: Bright Side Kit, brightoolbox.com.

Frequently asked questions