AtlasCalcsUtility Calculation Suite
2026-07-31 8 min

ROI Calculator

Calculate return on investment including capital gain, annual income, total gain, and annualized ROI. Compare the profitability of equipment purchases and projects.

Calculator

Unit System
Total Investment Help
$

Total amount invested in the project or asset

Final Value Help
$

Estimated value of the investment at the end of the holding period

Annual Income(/yr) Help
$

Yearly income or savings generated by the investment

Holding Period(yr) Help
yr

Number of years the investment is held

Results update live as you type

Results

Optimal

Total ROI

110.00%

Total gain (capital plus income) as a percentage of the investment

Annualized ROI

5.39%/yr

Compound annual growth rate of the investment value

Total Gain

55000.00$

Capital gain plus total income over the holding period

Capital Gain

15000.00$

Final value minus the original investment

Total Income

40000.00$

Annual income multiplied by holding years

Visualizations

Gain Sources

15,000$Capital Gain
40,000$Total Income

Capital Gain vs Income

Capital Gain27%
Total Income73%

Total ROI

110%
-100200

Formula

Total ROI expresses the full gain — capital appreciation plus income — as a percentage of the money invested. Annualized ROI converts the value growth into a per-year compound rate so investments of different durations can be compared.

ROI = ((FinalValue − Investment) + AnnualIncome × Years) / Investment × 100

Alternative Form

AnnualizedROI = ((FinalValue / Investment)^(1 / Years) − 1) × 100

Variables

SymbolNameUnitDescription
InvestmentTotal investment$Total amount invested at the start of the holding period
FinalValueFinal value$Estimated value of the investment at the end of the period
AnnualIncomeAnnual income$/yrYearly income or savings the investment generates
YearsHolding periodyrLength of time the investment is held

Explanation

ROI is the ratio of everything an investment returns to what it cost. It combines two return streams: capital gain from the asset rising in value, and income produced while it is held. Because it is a ratio, ROI lets you compare investments of different sizes.

Derivation

Capital gain is the final value less the original investment. Income is annual income times holding years. Adding them gives total gain, and dividing by the investment converts the gain into a percentage. The annualized ROI inverts the growth of the final value over the holding period to find the equivalent compound annual rate.

Step-by-Step Calculation

Follow each step to understand how the result is calculated from your inputs.

Step 1

Compute the capital gain from the final value and the investment.

Gain = FinalValue − Investment
Result: Capital Gain: $15000.00
Step 2

Compute total income over the holding period.

Income = AnnualIncome × Years
Result: Total Income: $40000.00
Step 3

Add capital gain and income to get total gain.

TotalGain = Gain + Income
Result: Total Gain: $55000.00
Step 4

Divide total gain by the investment to get ROI.

ROI = TotalGain / Investment × 100
Result: Total ROI: 110.00%
Step 5

Annualize the value growth for year-over-year comparison.

Annualized = (FinalValue / Investment)^(1/Years) − 1
Result: Annualized ROI: 5.39%
Final Answer
110.00

Worked Examples

See how the calculator works with different scenarios.

Scenario

A shop invests $50,000 in a machine, expects it to be worth $65,000 after 5 years, and generates $8,000/yr in income from the work it produces.

Inputs

Investment:$50,000
Final Value:$65,000
Income:$8,000/yr
Years:5

Calculation

Capital Gain = 65,000 − 50,000 = $15,000 Income = 8,000 × 5 = $40,000 Total Gain = 15,000 + 40,000 = $55,000 ROI = 55,000 / 50,000 × 100 = 110% Annualized = (65,000 / 50,000)^(1/5) − 1 = 5.39%

Result

Total ROI: 110%, Annualized ROI: 5.39%, Total Gain: $55,000

Interpretation

The investment returns more than its full value over 5 years. Most of the gain comes from income rather than appreciation, which is typical for productive equipment.

Understanding Your Result

Your Result: Total ROI: 110.00 %

Typical range: Equipment and energy projects typically target 10-30% annualized ROI. High-risk ventures demand more, while low-risk improvements may be approved at 8-10%. A negative total ROI always means the investment destroyed value.

What This Means

ROI measures the total return of an investment — appreciation plus income — as a percentage of what was invested. Annualized ROI converts value growth into a comparable per-year rate.

Why It Matters

ROI is the most common yardstick for equipment purchases and projects because it normalizes results to a percentage. It reveals whether capital is earning more than it costs to borrow or could earn elsewhere.

Professional Interpretation

Professionals use annualized ROI (CAGR) to compare investments of different durations and total ROI for the full return picture. For uneven cash flows or multi-year income streams, NPV and IRR are preferred because they respect the time value of money.

Recommendations

  • •Use annualized ROI to compare investments of different durations
  • •Enter after-tax and after-inflation figures for after-tax real returns
  • •Pair ROI with payback and NPV analysis before committing capital
  • •Re-estimate final value conservatively; resale values are uncertain
  • •Track realized ROI against projections after the project closes

Educational Content

Introduction

Return on investment is the classic measure of whether money spent produces money back. In mechanical engineering it is used to justify machines, tooling, automation, and energy projects against the capital required.

Concept Explanation

Total ROI adds capital gain (final value minus investment) to income (annual income times holding years) and expresses the sum as a percentage of the investment. Annualized ROI finds the compound annual rate that grows the investment into the final value over the holding period.

Applications

▸Capital equipment justification
▸Automation and robotics business cases
▸Energy efficiency project ranking
▸Tooling and fixture ROI review
▸Division of capital budget across competing projects

Benefits

  • •Gives a single comparable percentage for any investment
  • •Shows the combined effect of appreciation and income
  • •Exposes investments that lose money clearly
  • •Quick to compute and easy to communicate to management
  • •Basis for comparing against borrowing and equity costs

Limitations

  • •Ignores the time value of money and timing of income
  • •Assumes constant annual income
  • •Final value is an estimate that may be wrong

Best Practices

  • •Estimate final value from market comparables, not optimism
  • •Use conservative income figures for planning
  • •Compute ROI over the full expected life of the asset
  • •Benchmark against the company cost of capital
  • •Re-run the analysis whenever major assumptions change

Common Misconceptions

Myth: A high ROI on paper guarantees a good investment.
Truth: ROI depends on estimated final value and income; if those estimates are wrong, the ROI is wrong too.
Myth: Annualized ROI includes all of an investment income.
Truth: The annualized figure tracks only the growth of the investment value; income is captured in total ROI only.
Myth: ROI accounts for the timing of cash flows.
Truth: ROI treats all income as earned at the end; NPV and IRR properly discount cash flows by when they occur.

Practical Tips

  • •Use after-tax cash flows for after-tax ROI figures
  • •Compare annualized ROI against your cost of capital, not just zero
  • •Include installation, tooling, and training in the investment amount
  • •For energy projects, treat guaranteed savings as income
  • •Rerun ROI after the first year of real operating data

Common Mistakes

Comparing total ROI across different holding periods
Use annualized ROI for duration-independent comparison.
Forgetting income when evaluating income-producing assets
Add annual income so the full return stream is captured.
Using an optimistic final value
Base resale value on market comparables or a conservative discount.
Including only the purchase price in the investment
Add freight, installation, tooling, and commissioning costs.

Assumptions

This calculator makes the following assumptions to provide estimates:

Constant Annual Income: Income is the same amount every year of the holding period.
Single Valuation Point: The final value is realized at the end of the holding period.
No Time Value of Money: Dollars earned in different years are treated as equal; use NPV for discounted analysis.
No Taxes or Inflation: Results are nominal pre-tax unless after-tax, inflation-adjusted inputs are entered.

Limitations

Be aware of these limitations when using this calculator:

No Discounting: A dollar of income in year 5 counts the same as a dollar today; NPV corrects this.
Annualized Metric Excludes Income: The annualized ROI formula tracks value growth only, which can mislead for income-heavy assets.
Single Annual Income Figure: Irregular or growing income streams cannot be modeled precisely.

Frequently Asked Questions

Answers to common questions about this calculator.

What does the ROI calculator compute?
It computes total ROI, annualized ROI, capital gain, total income, and total gain from the investment amount, final value, annual income, and holding years.
How is total ROI calculated?
Total gain (capital gain plus income) is divided by the investment and multiplied by 100.
What is annualized ROI?
The compound annual growth rate of the investment value: (FinalValue / Investment)^(1/Years) − 1.
Why does annualized ROI ignore income?
It measures only how fast the invested capital grows in value. Income is captured separately in total ROI.
What is a good ROI?
It depends on risk and industry. Many companies require 10-20% annualized for equipment and reject projects below their cost of capital.
Can ROI be negative?
Yes, when capital gain plus income is less than the investment. Negative ROI means the investment destroyed value.
What inputs are needed?
Total investment, final value, annual income, and holding years. All must be positive numbers for meaningful results.
What is capital gain?
The final value of the investment minus the original investment amount.
What is total income?
Annual income multiplied by the number of holding years.
How does the holding period affect results?
Total ROI generally grows with time; annualized ROI normalizes results so different periods can be compared.
Does the calculator account for taxes?
No. Enter after-tax income and values if you want an after-tax ROI.
Does it account for inflation?
No. Enter real (inflation-adjusted) dollars for a real return.
How is ROI different from payback period?
Payback measures how long until the investment is recovered; ROI measures the total return on the capital.
How is ROI different from NPV?
ROI ignores when cash arrives; NPV discounts every cash flow to present value using a discount rate.
How is ROI different from IRR?
IRR is the discount rate that makes NPV zero. Annualized ROI is a simpler growth rate on the final value only.
Should I use total ROI or annualized ROI?
Use annualized ROI to compare investments of different durations and total ROI for the overall gain picture.
Can I use this for equipment purchases?
Yes. Include installation, tooling, and commissioning in the investment, and treat productivity or energy savings as income.
What is a CAGR?
Compound annual growth rate — the same formula used for annualized ROI in this calculator.
Does ROI include the investment itself in the gain?
No. Gain is what comes back on top of the investment; the investment is the denominator.
What about reinvested income?
The calculator does not compound income. For compounding scenarios, model the cash flows with NPV or IRR.
What is the difference between profit and ROI?
Profit is a dollar amount; ROI expresses profit relative to the amount invested so results scale across project sizes.
How accurate is the result?
The arithmetic is exact for the inputs. Accuracy in practice depends on how realistic the final value and income estimates are.
What happens if I enter zero investment?
ROI shows "---" because division by zero is avoided. Enter an investment greater than zero.
Can I use it for energy efficiency projects?
Yes, treat the annual energy savings as annual income.
How do I estimate final value?
Use resale market data, appraisals, or book values adjusted for market conditions.
What is the difference between ROI and return on equity?
Return on equity is an accounting metric for companies; ROI is a general investment metric used across projects and assets.
Does it handle uneven cash flows?
No, income is modeled as a constant annual amount. Use NPV or IRR calculators for uneven flows.
Can students use this calculator?
Yes, it is a useful teaching tool for engineering economics and capital budgeting fundamentals.
Is this calculator free?
Yes, it runs entirely in your browser, is free, and no data leaves your device.
What is the best way to compare two investments?
Use annualized ROI with identical assumptions, or move to NPV and IRR analysis for cash-flow timing differences.

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Deepen your understanding with these educational resources.

Glossary

Technical terms used in mortgage calculations explained in plain language.

ROI
Return on investment: total gain expressed as a percentage of the amount invested.
Annualized ROI
The compound annual growth rate of the investment value over the holding period.
CAGR
Compound annual growth rate, the standard annualized growth measure.
Capital Gain
The increase in an asset value: final value minus the original investment.
Income Stream
Recurring money generated by the investment, such as rent, royalties, or savings.
Cost of Capital
The return investors require, or the interest cost of funding an investment.
Time Value of Money
The principle that a dollar received today is worth more than one received later.
Holding Period
The length of time an investment is owned before it is sold or valued.

Authoritative References

Trusted sources and standards referenced by this calculator.

Applicable Standards

AACE 17R-97ISO 15686-5ISO 50006ASME

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Page Information

Last Updated:

2026-07-31

Version:

2.0.0

License:

Free to use for educational and professional purposes.