Payback Period Calculator
Simple and discounted payback with a year-by-year cash-flow table
Payback period = initial investment ÷ annual cash flow when the cash flow is the same every year. A $48,000 oven that saves $13,500 a year pays back in 48,000 ÷ 13,500 = 3.56 years (3 years, 7 months). Discounted at 8%, the same oven needs 4.36 years, because dollars received later are worth less today.
Last updated October 2026
Method: Simple payback is the point where cumulative cash flow first reaches zero, interpolated within that year: years before recovery + unrecovered amount ÷ cash flow of the recovery year. Discounted payback repeats this with each year's cash flow divided by (1 + r)t, the measure NIST Handbook 135 prefers. NPV uses your discount rate; IRR is solved numerically.
Included: Even or uneven annual cash flows (up to 40 years), monthly savings entry, simple and discounted payback in years and months, the year of recovery, a cumulative and discounted table, NPV, IRR, profitability index, and warnings when payback reverses or the IRR may not be unique.
Not included: Taxes and depreciation (enter after-tax cash flows), price escalation, financing, mid-year discounting, and monthly periods for uneven flows. Enter any salvage value in the final year.
⏳ Your investment and cash flows
Your cost of capital or required return. Enter 0 to see undiscounted figures only.
⏳ Simple payback period
📋 Cumulative cash flow, year by year
| Year | Cash flow | Cumulative | Discount factor | Present value | Cumulative PV |
|---|---|---|---|---|---|
| 0 | -$48,000 | -$48,000 | 1.0000 | -$48,000 | -$48,000 |
| 1 | $13,500 | -$34,500 | 0.9259 | $12,500 | -$35,500 |
| 2 | $13,500 | -$21,000 | 0.8573 | $11,574 | -$23,926 |
| 3 | $13,500 | -$7,500 | 0.7938 | $10,717 | -$13,209 |
| 4simple | $13,500 | $6,000 | 0.7350 | $9,923 | -$3,286 |
| 5disc. | $13,500 | $19,500 | 0.6806 | $9,188 | $5,902 |
| 6 | $13,500 | $33,000 | 0.6302 | $8,507 | $14,409 |
| 7 | $13,500 | $46,500 | 0.5835 | $7,877 | $22,286 |
| 8 | $13,500 | $60,000 | 0.5403 | $7,294 | $29,580 |
Year 0 is the upfront investment. Payback is interpolated within the year it occurs: years before recovery plus the unrecovered amount divided by that year's cash flow (or present value, for discounted payback). Present value = cash flow × 1 ÷ (1 + 8%)year, assuming each year's cash arrives at year end.
Payback period calculator: how long until an investment pays for itself
A payback period calculator answers one question: how many years until the cash an investment brings in equals the cash you put in. A $48,000 oven saving $13,500 a year pays back in 3.56 years. This tool handles even and uneven cash flows, adds the discounted payback that federal energy analysts use, and shows NPV and IRR beside it so a quick payback cannot hide a weak project.
Payback measures time at risk. For the value an investment creates, see the NPV Calculator; for its annual return, the IRR Calculator; for total gain against cost, the ROI Calculator.
The payback period formula
With the same net cash flow every year, payback is a single division. With uneven flows, you accumulate year by year and interpolate inside the year in which the running total crosses zero:
Even cash flows: Payback = Initial investment ÷ Annual cash flow Uneven: Payback = A + B ÷ C Discounted: use CFt ÷ (1 + r)t in place of CFt Here A is the last full year with a negative cumulative total, B is the amount still unrecovered at the end of that year, and C is the cash flow of the following year. NIST Handbook 135 defines payback as the minimum number of years for which cumulative net savings offset the investment; interpolation adds the fractional year, though the handbook cautions that the data rarely support that precision. Federal rules (10 CFR 436.23) describe simple payback the same way, explicitly without discount rates.
Worked example 1: a bakery oven with even savings
A bakery replaces two old ovens with one $48,000 unit that saves $13,500 a year in energy and labor over an 8-year life. Its cost of capital is 8%.
- Simple payback: $48,000 ÷ $13,500 = 3.56 years, or 3 years and 7 months, recovered during year 4.
- Discounted payback at 8%: after four years the discounted savings still fall $3,286.29 short; year 5 adds $9,187.87 of present value, so payback = 4 + 3,286.29 ÷ 9,187.87 = 4.36 years.
- NPV at 8%: $29,579.63. IRR: 22.62%. Profitability index: 1.62.
The oven earns back its price with more than four years of life to spare, which is the margin that makes a payback reassuring. The undiscounted net gain over eight years is $60,000.
Worked example 2: uneven cash flows, year by year
A distributor spends $250,000 on warehouse automation. Savings ramp up as staff learn the system, then taper as the equipment ages: $40,000, $65,000, $80,000, $90,000, $90,000 and $70,000. The hurdle rate is 10%.
| Year | Cash flow | Cumulative | Factor at 10% | Present value | Cumulative PV |
|---|---|---|---|---|---|
| 0 | −$250,000 | −$250,000 | 1.0000 | −$250,000 | −$250,000 |
| 1 | $40,000 | −$210,000 | 0.9091 | $36,364 | −$213,636 |
| 2 | $65,000 | −$145,000 | 0.8264 | $53,719 | −$159,917 |
| 3 | $80,000 | −$65,000 | 0.7513 | $60,105 | −$99,812 |
| 4 | $90,000 | $25,000 | 0.6830 | $61,471 | −$38,341 |
| 5 | $90,000 | $115,000 | 0.6209 | $55,883 | $17,542 |
| 6 | $70,000 | $185,000 | 0.5645 | $39,513 | $57,055 |
The cumulative total turns positive in year 4: simple payback = 3 + 65,000 ÷ 90,000 = 3.72 years. The discounted total turns positive in year 5: 4 + 38,340.96 ÷ 55,882.92 = 4.69 years. NPV is $57,055.13 and IRR 16.72%. Present values are rounded to the dollar in the table; the calculator keeps full precision.
Discounted payback: why it always takes longer
Simple payback counts a dollar in year 5 the same as a dollar today. Discounted payback shrinks every future dollar by 1 ÷ (1 + r)t first, so it is always longer when the rate is positive, and the gap widens with time. NIST Handbook 135 calls discounted payback the preferred measure: a project whose discounted payback falls within its service period is cost-effective at that rate.
The table shows the discounted payback for a project with level annual cash flows lasting 20 years. Read across from the simple payback to your discount rate; "never" means the investment is not recovered within the 20 years.
| Simple payback | 4% | 6% | 8% | 10% | 12% | 15% |
|---|---|---|---|---|---|---|
| 2 years | 2.1 | 2.2 | 2.3 | 2.4 | 2.4 | 2.6 |
| 3 years | 3.3 | 3.4 | 3.6 | 3.8 | 3.9 | 4.3 |
| 4 years | 4.5 | 4.7 | 5.0 | 5.4 | 5.8 | 6.6 |
| 5 years | 5.7 | 6.1 | 6.6 | 7.3 | 8.1 | 9.9 |
| 6 years | 7.0 | 7.7 | 8.5 | 9.6 | 11.2 | 16.5 |
| 7 years | 8.4 | 9.4 | 10.7 | 12.6 | 16.2 | never |
| 8 years | 9.8 | 11.2 | 13.3 | 16.9 | never | never |
| 10 years | 13.0 | 15.7 | never | never | never | never |
Short paybacks barely move: two years becomes only 2.6 years even at 15%. Long ones fall apart. A 10-year simple payback never recovers at 8% within 20 years, because 20 years of level cash flow at 8% are worth only 9.82 years of undiscounted cash today.
Payback, NPV and IRR on two competing projects
Two $60,000 projects, both evaluated at 8%. The quick one front-loads its cash; the long one builds slowly and keeps paying.
| Measure | Quick project | Long project |
|---|---|---|
| Cash flows, years 1 onward | 30k, 30k, 10k, 5k | 10k, 15k, 20k, 25k, 30k, 35k |
| Simple payback | 2.00 years | 3.60 years |
| Discounted payback (8%) | 2.82 years | 4.18 years |
| NPV at 8% | $5,111.41 | $38,845.17 |
| IRR | 13.04% | 23.27% |
| Net cash, undiscounted | $15,000 | $75,000 |
Payback prefers the quick project; every value measure prefers the long one by a wide margin. That is the blind spot NIST describes: payback ignores all cash after the payback date, so it should not choose between mutually exclusive projects. It is still useful when cash is tight and you need the money back fast.
When payback reverses: a major repair in year 4
A $40,000 machine earns $15,000 a year but needs a $35,000 overhaul in year 4, so that year nets −$20,000. The cumulative total reaches +$5,000 after year 3 (a first payback of 2.67 years), drops to −$15,000 after the overhaul, and is recovered for good only at the end of year 5. NIST notes that its BLCC software checks every year to confirm payback is not reversed by a later one-time cost; this calculator does the same, warns you and reports the final payback of 5.00 years. Because the flows change sign more than once, it also flags that the IRR (11.41% here) may not be unique.
Payback period vs. break-even point
The two are often mixed up because both mark the moment money stops being lost. The break-even point is a sales volume in a period: the units or dollars at which revenue covers fixed and variable costs, found with the Break-Even Calculator or the Contribution Margin Calculator. The payback period, sometimes called the break-even period, is a length of time: how long one investment takes to return its cost. A customer who costs $300 to acquire and contributes $25 a month after variable costs breaks even after 300 ÷ 25 = 12 months, the same arithmetic as simple payback.
How to use this calculator
- Enter the initial investment: the full upfront cost, including installation, shipping and training.
- Choose the pattern: the same cash flow every year, or a different amount each year. Monthly savings can be entered directly; they are multiplied by 12.
- Enter net cash flows: savings or extra income minus the operating and maintenance costs the investment adds. Use a minus sign for a year with a net outflow.
- Set the discount rate: your cost of capital or required return. Enter 0 to skip discounting.
- Read the results: payback in years and months, the year of recovery, NPV, IRR and the table with the recovery rows highlighted. The example buttons load the oven, warehouse, repair and monthly-savings scenarios from this page.
Who uses payback, and for what
Homeowners use it for efficiency upgrades: a heat pump water heater costing $1,800 more than a standard tank and saving $45 a month pays back in 3.33 years, or 3.74 years at 5%. Facility managers screen retrofits the way federal agencies do; 10 CFR 436.18 lets agencies use simple payback as a quick indicator, with a project likely cost-effective when payback is significantly less than the useful life. A $9,600 lighting retrofit saving $3,100 a year pays back in 3.10 years. Small business owners use it for equipment and vehicles, marketers for customer acquisition, and lenders as a first look at how quickly a borrower's project generates cash.
Key terms
- Net cash flow: cash in minus cash out in a year, after the operating costs the investment adds.
- Cumulative cash flow: the running total starting from the negative investment in year 0.
- Discount rate: the annual return you require, used to convert future cash to present value.
- Discount factor: 1 ÷ (1 + r)t; at 10%, year 4's factor is 0.6830.
- Net present value (NPV): the sum of all discounted cash flows, including the investment.
- Internal rate of return (IRR): the discount rate at which NPV equals zero.
- Profitability index: present value of the inflows divided by the investment; above 1 means positive NPV.
What changes the payback period
- Timing of cash flows: moving savings earlier shortens payback even if the total stays the same.
- What you count: leaving out maintenance, insurance or extra staff makes payback look shorter than it is.
- Taxes: savings raise taxable profit, while depreciation can lower the tax bill, so after-tax payback differs from pre-tax payback.
- Discount rate: a higher rate stretches discounted payback, most of all for long projects.
- Prices: energy or labor costs that rise make savings grow, which simple payback usually ignores.
Test a pessimistic case as well as your base case. If payback still lands comfortably inside the useful life when savings come in 20% lower, the project is robust.
Limitations of the payback method
NIST Handbook 135 lists the core weaknesses: payback ignores costs, savings and salvage value after the payback date, simple payback ignores the time value of money, and the cutoff companies apply is usually arbitrary and shorter than the service life. Payback is therefore a screening tool and a liquidity measure, not a ranking tool. This calculator also assumes cash arrives at the end of each year, treats the discount rate as constant, and cannot know about risks you do not enter.
Related calculators
- Value the whole project with the NPV Calculator and its annual return with the IRR Calculator.
- Compare total gain with cost using the ROI Calculator.
- Choose a discount rate with the WACC Calculator.
- Estimate the tax effect of the purchase with the Depreciation Calculator.
- Price the financing with the Business Loan Calculator.
Sources
- National Institute of Standards and Technology: NIST Handbook 135, Life Cycle Costing Manual for the Federal Energy Management Program (2025 edition), section 6.4, simple payback and discounted payback.
- Code of Federal Regulations: 10 CFR 436.23, Estimated simple payback time, and 10 CFR 436.18, Measuring cost-effectiveness.
- Payback, NPV, IRR and present value are deterministic formulas; every figure on this page was computed from the cash flows shown.
⚠️ Common mistakes & edge cases
Using revenue instead of net cash flow
A new delivery van that brings in $30,000 of extra sales but costs $12,000 a year to run contributes $18,000, not $30,000. Payback must use the net figure.
Mixing monthly and annual figures
$45 a month against a $1,800 cost is a payback of 40 months, or 3.33 years. Entering 45 as an annual figure gives 40 years. Switch the inflow field to monthly or multiply by 12 first.
Forgetting later outflows
Overhauls, battery replacements and refurbishments can push the cumulative total back below zero after payback. Enter them in the year they occur so the calculator can report the final payback.
Reading a short payback as a good investment
The quick project above pays back in 2.00 years and creates $5,111.41 of value; the slower one creates $38,845.17. Always check NPV before deciding.
Ignoring taxes and financing
Pre-tax savings overstate the cash you keep, and loan payments change when cash actually leaves the business. Use after-tax flows, and judge financing separately.
Treating the cutoff as the decision
A rule such as "three years or less" rejects the 3.72-year automation project despite its $57,055.13 NPV. Cutoffs are screens, so look at value before rejecting.
❓ Frequently asked questions
How do you calculate the payback period?
When the cash flow is the same every year, divide the initial investment by the annual cash flow. A $48,000 oven that saves $13,500 a year pays back in 48,000 ÷ 13,500 = 3.56 years, about 3 years and 7 months. Use net cash flow (savings or income minus the costs the investment adds), not revenue.
How do you calculate payback with uneven cash flows?
Add the cash flows year by year until the running total turns positive, then interpolate inside that year. A $250,000 project returning $40,000, $65,000, $80,000 and $90,000 is still $65,000 short after year 3, so payback = 3 + 65,000 ÷ 90,000 = 3.72 years.
What is the discounted payback period?
It is the time until the present value of the cash flows, not their face value, covers the investment. Each year's cash flow is divided by (1 + r) raised to the year before it is added up. The $48,000 oven pays back in 3.56 years in plain dollars but takes 4.36 years at an 8% discount rate. NIST Handbook 135 calls discounted payback the preferred payback measure.
What discount rate should I use for discounted payback?
Use the return you could earn elsewhere at similar risk, which for a business is often its weighted average cost of capital. A riskier project deserves a higher rate. Federal energy projects use the FEMP discount rate that NIST publishes each year in its annual supplement to Handbook 135. Entering 0% turns the discounted payback back into the simple payback.
What is a good payback period?
There is no universal number. The useful test is whether payback comes well before the end of the investment's useful life, and before its cash flows become uncertain. Federal energy rules (10 CFR 436) treat a payback significantly shorter than the useful life as a sign the project is likely cost-effective. Companies set their own cutoffs based on risk and cash needs.
Is the payback period the same as the break-even point?
No. The break-even point is a sales volume, the units or dollars of sales in a period at which profit is zero. The payback period is a length of time, how long an investment takes to return its cost. People often say break-even period when they mean payback period.
What are the disadvantages of the payback period method?
It ignores everything that happens after payback, including later costs, later savings and any salvage value. Simple payback also ignores the time value of money. NIST Handbook 135 warns that payback should not be used to choose between mutually exclusive projects or to rank projects for funding; it recommends payback mainly as a screening tool.
Can a project never pay back?
Yes. If the cumulative cash flow stays negative to the end of the project, there is no payback at all. A $50,000 investment returning $9,000 a year for five years recovers only $45,000, leaving $5,000 unrecovered, and its NPV at 8% is -$14,065.61. A project can also pay back in plain dollars but not after discounting.
How do I turn a payback period into years and months?
Keep the whole years and multiply the decimal part by 12. A payback of 3.56 years is 3 years plus 0.56 × 12 = 6.7 months, so about 3 years and 7 months. The calculator does this conversion automatically and also names the year in which payback occurs.
Should I decide with payback, NPV or IRR?
Use payback to see how long your money is at risk and NPV to decide. In the comparison on this page, a project that pays back in 2.00 years has an NPV of $5,111.41 at 8%, while one that needs 3.60 years has an NPV of $38,845.17. Payback alone would have picked the weaker project.
💡 Good to know
Payback measures risk, not profit
The shorter the payback, the sooner your cash is safe from forecast errors, obsolescence and changing plans. That makes it a good first filter and a poor final judge.
Discounting hurts long paybacks most
At 8%, a 2-year simple payback becomes 2.3 years, while an 8-year payback becomes 13.3 years. If your project already needs many years, run the discounted figure before anything else.
Salvage value goes in the last year
If equipment can be sold at the end of its life, add the expected sale price to the final year's cash flow. It rarely changes the payback, but it can change the NPV.
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