Return on Investment (ROI) Calculator

ROI Form

Results

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What is ROI Calculator?

The ROI calculator measures a simple investment gain relative to the initial amount and also converts the total growth over the entered number of years into an annual compound rate. It reports investment gain, total ROI and annualized ROI. These figures help compare outcomes that use the same cash-flow convention.

The model assumes one initial outflow and one ending amount, with no deposits or withdrawals between them. It does not calculate an internal rate of return for irregular cash flows. Fees, tax, income distributions and inflation count only when they are already reflected in the amounts entered.

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How to Use This Calculator

  1. Enter a positive initial amount invested.
  2. Enter the total amount returned at the end, including return of capital and any proceeds you intend to count.
  3. Enter the investment length in years. Decimal years are allowed and must be greater than zero.
  4. Select Calculate. Review dollar gain, total percentage ROI and the compound annualized rate.

The ending amount may be zero, representing a complete loss. It cannot be negative under this simple growth formula. Use matching currencies for invested and returned amounts even though the form does not provide currency selectors.

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Formula Used

Gain = amount returned − amount invested
Total ROI (%) = gain ÷ amount invested × 100
Annualized ROI (%) = [(amount returned ÷ amount invested)^(1 ÷ years) − 1] × 100

Annualized ROI is a compound annual growth rate for the beginning and ending amounts. It smooths the result into one constant yearly rate and does not describe the actual path taken between those dates.

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Variables Explained

Input or resultMeaning
Amount investedPositive initial capital placed into the investment.
Amount returnedTotal ending proceeds under the selected cash-flow convention.
Investment lengthElapsed time in years; 18 months may be entered as 1.5.
Investment gainEnding amount minus initial amount, in the input currency.
Total ROIGain as a percentage of initial capital.
Annualized ROIConstant compound yearly rate linking the two amounts over the entered duration.
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Worked Example

An investment starts at $10,000 and is worth $12,500 after two years. Gain is 12,500 − 10,000 = $2,500. Total ROI is 2,500 ÷ 10,000 × 100 = 25%.

For annualization, divide ending by beginning to get 1.25. Take the two-year root: 1.25^(1/2) ≈ 1.118034. Subtract 1 and multiply by 100, giving an annualized ROI of 11.8%.

It is not 12.5% per year because compound growth links the annual factors. Two years at about 11.8% grows 10,000 to roughly 12,500.

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Why Use This Calculator?

Total ROI answers how large the net gain or loss was relative to the starting capital. Annualized ROI answers what steady compound yearly rate would connect the same endpoints. Annualization improves comparisons across different holding periods but does not make investments equal in risk, liquidity or cash-flow timing.

A positive value means the returned amount exceeds the investment; zero means it equals the investment; a negative total ROI means less was returned. A zero ending value produces −100%. The formula cannot represent a liability beyond the original capital because negative ending amounts have no real fractional-power result for many holding periods.

When dividends or distributions were received before the end, adding them to the ending amount is only a rough convention because timing and reinvestment matter. Use a cash-flow return method for multiple dated flows. Consider inflation, tax, costs and risk before drawing conclusions.

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Common Mistakes

    • Entering gain alone as the amount returned instead of including returned principal.
    • Typing months in a field defined in years.
    • Dividing the total ROI by years and calling it a compound annual rate.
    • Leaving fees out of one investment but including them in another.
    • Ignoring interim deposits, withdrawals or distributions.
    • Comparing annualized percentages without comparing risk and liquidity.
    • Entering zero investment or zero duration, which makes the formulas undefined.
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Frequently Asked Questions

Is amount returned the same as profit?

No. Amount returned includes the capital received back. Profit or gain is the returned amount minus the initial investment.

Can I enter months for investment length?

Convert months to years first. Divide by 12, so 18 months becomes 1.5 years.

Why is annualized ROI lower than total ROI?

Annualization spreads compound growth across the holding period. For a positive multi-year gain, the yearly rate is normally below the full-period percentage.

Does annualized ROI show each year’s actual return?

No. It is one smoothed compound rate connecting the beginning and ending amounts; actual yearly returns may vary widely.

How should I include fees and taxes?

Use net amounts if you want an after-cost or after-tax result, and apply the same convention to every comparison.

Can the returned amount be zero?

Yes. That represents a complete loss and produces total and annualized returns of minus 100 percent.

What if I made several deposits or withdrawals?

Use a dated cash-flow method such as internal rate of return. This form assumes one beginning amount and one ending amount.

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Sources & References