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Net Present Value (NPV) Calculator

Find the net present value of an investment's cash flows at a discount rate, with its IRR and net cash flow.

Change the values and press Calculate to work out your own figures.

Enter the initial investment, the discount rate and each year's cash flow.

About initial investmentPaid at the start (year 0).
About discount rate, % a yearYour required return.
About cash flows (year 1, 2, …)Separated by commas; negative for money paid out.
About currencyChanges how amounts are shown, not the math; your choice is remembered on this device.
Result
NPV
−$71.98
Net cash flow
$1,500.00
ROI
30%
IRR
9.4349%

The net present value is −$71.98.

Discounted cash flows
YearCash flowPresent value
1$1,300.00$1,181.82
2$1,300.00$1,074.38
3$1,300.00$976.71
4$1,300.00$887.92
5$1,300.00$807.20
Show the working
  1. NPV = −investment + Σ cash flow ÷ (1 + r)^t

How to use it

Enter the initial investment, the discount rate and each year's cash flow.

Enter amounts without commas or with them; rates are percentages (5 for 5%). Negative amounts are allowed where a sign means money paid out.

Key facts

NPV = −investment + Σ cash flowₜ ÷ (1 + r)^t

Reading NPV

A positive NPV means the investment earns more than the discount rate; negative, less.

Questions

What is the NPV of −$5,000 then $1,300 a year for 5 years at 10%?

−$71.98.

Formulas

NPV = −investment + Σ cash flowₜ ÷ (1 + r)^t

Sources

Limitations

  • Results are estimates for planning, not offers or financial advice; lenders and banks may round, count days or time payments differently.
  • Rates are nominal annual rates compounded as you choose; payments at a different frequency use the equivalent periodic rate.

Formula version 0.1.0Reviewed