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Money & Business Calculators

NPV Calculator — Net Present Value of Irregular Cash Flows

Calculate net present value for a time-zero cash flow and an irregular series of later cash flows, with a per-period present-value table that exposes every discounted term.

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No hidden assumptions. Inputs, units and the working stay visible so you can check the calculation.

Calculated result

NPV 1,158.88

5 cash-flow periods including period 0

Undiscounted cash-flow sum: 3,500

Discount rate per period: 8%

Discounted cash-flow detail

PeriodCash flowDiscount factorPresent value
0-10,0001-10,000
13,0001.082,777.78
23,5001.16643,000.69
34,0001.2597123,175.33
43,0001.3604892,205.09
Show the working
  1. 1. Treat the first entry as period 0, so it is divided by (1 + r)^0 = 1.
  2. 2. For each later period t, PV = CFₜ ÷ (1 + 0.08)ᵗ.
  3. 3. Sum all present values = 1,158.88.

Use a discount rate with the same period length as the cash-flow spacing. The result does not validate the cash-flow forecasts or rate assumption.

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The calculation, without hidden assumptions

Net present value is most useful when the entire cash-flow stream stays visible. Paste the time-zero amount followed by one cash flow per period, enter a discount rate per period, and MAXScanner discounts each row separately. The table makes it easy to find the period that drives the result instead of treating NPV as a black box.

How to use this calculator

1

Enter the discount rate for the same period spacing used by your cash-flow list.

2

Paste cash flows starting with period 0; separate values with commas, semicolons or new lines and use negative values for modeled outflows.

3

Inspect the present-value table as well as the final NPV so the timing assumptions remain auditable.

Where people use it

  • Project cash-flow modeling
  • Checking a spreadsheet NPV calculation
  • Teaching discounted cash-flow mechanics

Example: -10,000 now followed by five yearly cash flows

With a 5% annual discount rate, each future amount is divided by 1.05 raised to its year number. The initial -10,000 remains at full value because it occurs at period 0.

What the result does not assume

  • The discount rate is an assumption and must use the same time unit as the spacing of the cash-flow entries.
  • NPV is a mathematical output from entered cash flows and rate; it does not validate the forecasts, risk assumptions or suitability of a project.

Frequently asked questions

Should the initial investment be negative?+

If you are modeling it as a cash outflow, enter it as a negative time-zero cash flow.

Can later cash flows also be negative?+

Yes. The list can contain positive and negative amounts in any period.

Is the discount rate annual?+

Only if each cash-flow step represents one year. If the list is monthly, the entered rate must be a monthly rate.

Semantic next steps

Continue the calculation

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Keep the result connected to the real job

MAXScanner keeps the formula and assumptions beside the result so you can verify the number before using it in a drawing, estimate, specification, worksheet or document. Where a supplier, manufacturer, drawing or applicable standard owns a requirement, that source remains authoritative.