Cost-Benefit Analysis Calculator
Evaluate public projects with NPV, benefit-cost ratio, payback period, and internal rate of return.
About this calculator
Public agencies evaluate infrastructure and program investments differently than a private business would, since the return is often measured in avoided costs, service value, or economic activity rather than direct revenue — but the underlying discounted-cash-flow math is the same. This calculator discounts a level annual benefit stream back to today's dollars using the social discount rate you enter, then compares that present value against the upfront project cost to compute Net Present Value: a positive NPV means the discounted benefits exceed the cost, while a negative NPV means they don't, at least under the assumptions entered. Benefit-Cost Ratio expresses the same comparison as a ratio rather than a dollar difference, so a value above 1.0 signals the same thing as a positive NPV, just scaled independent of project size, which makes it useful for comparing projects of very different scale.
Payback Period is calculated simply as project cost divided by annual benefit, with no discounting applied at all, so it will typically show a shorter timeframe than how long it actually takes for the discounted NPV to turn positive — it answers a different, cruder question about raw cash recovery speed. Internal Rate of Return is solved numerically as the discount rate at which NPV would equal exactly zero, giving a single percentage that can be compared directly against the discount rate you used or against other candidate projects' own IRRs.
Inputs
Results
Net Present Value (NPV)
$2,361,774.00
≈ 6 average U.S. homes
IRR (%)
16.7%
How to Use This Calculator
- Enter the Total Project Cost and the estimated Annual Benefit in dollars.
- Enter the Social Discount Rate (OMB recommends 3–7% for public projects) and Project Life in years.
- Review the Net Present Value (NPV) — a positive NPV means benefits exceed costs in present-value terms.
- Check the Benefit-Cost Ratio: values above 1.0 indicate the project is economically justified.
- Use Payback Period and Internal Rate of Return (IRR) to compare alternative projects.
How the result changes with Annual Benefit ($)
| Annual Benefit ($) | Net Present Value (NPV) | IRR (%) |
|---|---|---|
| $175,000.00 | $180,887.00 | 6.04% |
| $262,500.00 | $1,271,330.00 | 11.69% |
| $525,000.00 | $4,542,660.00 | 25.99% |
| $875,000.00 | $8,904,434.00 | 43.72% |
What each input means
- Project Cost ($)
- Total upfront cost of the public project
- Annual Benefit ($)
- Estimated annual monetary benefit (cost savings, revenue, economic value)
- Discount Rate (%)
- Social discount rate for public projects (OMB recommends 3-7%)
- Project Life (years)
- Expected useful life of the project in years
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersProject Cost ($) = 2000000, Annual Benefit ($) = 350000, Discount Rate (%) = 5, Project Life (years) = 20 = 4 input(s) provided
- Calculate Net Present ValueNet Present Value2361774 = $2,361,774
- Calculate IRRIRR16.7 = 16.7
- Calculate Benefit-Cost RatioBenefit-Cost Ratio2.18 = 2.18
- Calculate Payback PeriodPayback Period5.7 = 5.7
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why can Payback Period differ so much from when NPV actually turns positive?
Payback Period simply divides project cost by the annual benefit with no discounting at all, answering how quickly raw dollars are recovered. NPV discounts each year's benefit back to present value first, so the true break-even point in discounted terms — when cumulative discounted benefits finally exceed the cost — always comes later than the simple payback figure suggests, sometimes considerably later at higher discount rates.
What does a Benefit-Cost Ratio above 1.0 actually mean?
It means the present value of the project's benefits exceeds its cost — the same underlying conclusion as a positive NPV, just expressed as a ratio rather than a dollar amount. Expressing it this way makes it easier to compare projects of very different sizes on equal footing, since a small project with a 1.5 ratio and a huge project with the same ratio are both equally economically justified relative to their own cost.
How is IRR calculated, and how does it compare to the Discount Rate I entered?
IRR is found numerically as the discount rate at which the project's NPV would equal exactly zero, calculated independently of whatever discount rate you entered for the main NPV figure. If IRR comes out higher than your entered discount rate, the project clears that hurdle rate and shows a positive NPV; if IRR is lower, the project falls short and NPV comes out negative.
What discount rate should I actually use for a public infrastructure project?
Federal guidance from the Office of Management and Budget has historically suggested a range of roughly 3-7% for public sector cost-benefit analysis, reflecting the social opportunity cost of capital rather than a private firm's cost of borrowing. Many state and local agencies adopt their own guidance within or near that range, so check whether your jurisdiction specifies a required rate before finalizing an analysis.
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