NPV Calculator

Calculate net present value by discounting an initial investment and later cash-flow series, then review profitability index and discounted payback.

Discount each future cash flow back to today Enter the upfront investment, choose a per-period discount rate, and add the later cash-flow stream. The calculator returns project NPV, profitability index, and both simple and discounted payback.

Display currency

Switch the display currency used for NPV and discounted cash-flow totals without changing the project assumptions.

Assumptions

This tool assumes the cash-flow series is evenly spaced and that the discount rate stays constant for the full horizon. It does not model financing structure, taxes, or mid-period cash flows.

Result

$16,986.55

Present-value surplus after discounting the entered annual cash flows at 10% per period and subtracting the initial investment.

PV of inflows
$116,986.55
Profitability index
1.17
Equivalent annual value
$5,358.76
Total net cash
$50,000.00
Positive NPV At this discount rate, the project adds $16,986.55 of present-value surplus above the initial outlay.

Recovery timing

Simple payback is 2.875 years. Discounted payback is 3.447333 years.

Discounted cash-flow sheet

PeriodCash flowDiscount factorPresent valueCumulative PV
1$30,000.000.91$27,272.73-$72,727.27
2$35,000.000.83$28,925.62-$43,801.65
3$40,000.000.75$30,052.59-$13,749.06
4$45,000.000.68$30,735.61$16,986.54

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Capital Budgeting

NPV calculator guide: discount project cash flows into present-value surplus or deficit

A net present value calculator discounts a project’s expected cash flows back to today and then compares the total present value of those inflows with the upfront investment required. Positive NPV means the project exceeds the chosen discount rate in present-value terms, while negative NPV means it falls short under the entered assumptions.

What NPV is measuring

NPV translates a full project cash-flow stream into today’s money. The idea is simple: future cash is worth less than immediate cash because capital has a time cost and because future outcomes are uncertain. Discounting adjusts later cash flows to reflect that trade-off.

Once each future cash flow is discounted, the initial investment is subtracted. The remaining figure is the project’s net present value. Positive NPV means value is created above the required return, zero NPV means the project exactly earns the discount rate, and negative NPV means it does not clear the selected hurdle.

Core NPV maths

The calculation starts with a period-zero outlay and then discounts each later cash flow by the selected rate for the number of periods it is delayed. Adding those discounted inflows and subtracting the original outlay gives the project’s NPV.

This is why the discount rate matters so much. A higher discount rate penalises later cash flows more heavily, which lowers NPV. A lower discount rate does the opposite and makes distant cash flows count more toward today’s project value.

NPV = CF_0 + CF_1 / (1 + r)^1 + CF_2 / (1 + r)^2 + ... + CF_n / (1 + r)^n

Standard NPV equation where CF_0 is usually the initial negative investment and r is the discount rate per period.

Profitability index = PV of future inflows / Initial investment

Shows how much discounted inflow value is created for each unit of upfront investment.

How discount rate choice changes the answer

Discount rate is not a cosmetic input. It represents the required return, opportunity cost of capital, and risk level you expect the project to clear. If the rate is set too low, NPV can look stronger than the project deserves. If it is set too high, a good project can look artificially weak.

That is why capital-budgeting reviews often compare NPV across several rates rather than relying on one single number. Sensitivity testing can show whether a project stays attractive when the required return rises or whether the decision only works under a narrow set of assumptions.

Worked example: discounting a four-period project

Suppose a project needs 100,000 upfront and is expected to return 30,000, 35,000, 40,000, and 45,000 in equal annual periods. At a 10% discount rate, each later cash flow is reduced before being added to the total present value of inflows.

If the discounted inflows add to more than 100,000, the project has positive NPV and creates present-value surplus above the required return. If they add to less than 100,000, the project fails to clear the chosen hurdle even though the undiscounted total cash returned may still look attractive.

Why NPV is often preferred to IRR alone

NPV measures value creation in currency terms, so it is easier to compare projects of different sizes. A project with a lower percentage return can still create more value if the total discounted surplus is larger.

NPV is also more stable than IRR when cash flows change sign multiple times or when comparing mutually exclusive projects. IRR is still useful, but NPV is usually the cleaner primary decision metric when the goal is maximising value rather than just quoting a rate.

Further reading

Frequently asked questions

What does a positive NPV mean?

It means the discounted value of the project’s future cash flows is greater than the initial investment at the chosen discount rate. In other words, the project clears the required return and still creates additional present-value surplus.

 Can a project have a positive NPV but a long payback period?

Yes. NPV and payback measure different things. A project can create good long-term value once later cash flows are discounted, while still taking a relatively long time to recover the original outlay in simple cumulative terms.

 Why does NPV fall when the discount rate rises?

Because a higher discount rate reduces the present value assigned to future cash flows. The farther out the cash flow sits in time, the bigger that reduction becomes, which is why long-duration projects are especially sensitive to the rate assumption.

 Is the discount rate the same as inflation?

Not usually. Inflation can be one input into the rate, but the discount rate is broader than that. It generally reflects opportunity cost of capital, required return, and risk. Treating it as inflation alone can understate the real hurdle a project should clear.

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