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Calculator Answers

NPV Calculator

Blake Boege
Written by Blake Boege · Founder, Calculator Answers

A net present value (NPV) calculator is a financial tool used in capital budgeting to determine the profitability of an investment by comparing the present value of expected cash inflows with the present value of cash outflows. It discounts a series of future annual cash flows back to the present day using a specified discount rate or hurdle rate. A positive NPV indicates that the projected earnings exceed the anticipated costs, making the project financially viable, while a negative NPV suggests a net loss. Corporate analysts use it to compare capital projects.

Enter your discount rate, initial investment, and the annual cash flows (year 1 onward). The calculator shows the present value of each year's cash flow, the total PV, and the resulting NPV with an accept or reject style note.

Quick Answer

Calculate the net present value (NPV) of an investment with a series of cash flows over time, helping determine project profitability.

%

Required return or cost of capital. · e.g. 10

$

Outflow at time 0; enter as a positive number. · e.g. 10,000

Comma- or line-separated. Year 1 first. Negative values are allowed (e.g. capex or losses).

What is NPV?

Net Present Value is the sum of the present values of all cash flows from a project, minus the initial investment. A positive NPV means the project is expected to add value at the chosen discount rate; a negative NPV means the project does not clear its cost of capital.

Educational tool. Real project evaluation also uses IRR, payback period, sensitivity analysis, and qualitative judgment.

Net present value

Net present value (NPV)

$4,803.26

NPV > 0: the project's discounted cash flows exceed the initial investment.

Initial investment (t=0)-$10,000.00
Discount rate10%
Year 1: CF $3,000.00PV $2,727.27
Year 2: CF $3,500.00PV $2,892.56
Year 3: CF $4,000.00PV $3,005.26
Year 4: CF $4,500.00PV $3,073.56
Year 5: CF $5,000.00PV $3,104.61
Total PV of cash flows$14,803.26
NPV$4,803.26

NPV = Σ CF_t / (1 + r)^t − initial. Each cash flow is discounted to year 0 using the rate you provide. A positive NPV passes the standard accept/reject test; tie-breaking among multiple positive-NPV projects often uses other metrics like IRR or payback.

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Examples

$10k initial · 10% · CF: 3k, 3.5k, 4k, 4.5k, 5k

NPV ≈ $4,950 · accept

$15k initial · 8% · CF: 3k for 6 yrs

NPV ≈ -$1,141 · reject

$50k initial · 12% · CF: 15k for 5 yrs

NPV ≈ $4,071 · accept

How it works

NPV brings every future cash flow back to today at a chosen discount rate, then subtracts the up-front investment.

NPV · -initial + Σ CF_t / (1 + r)^t

PV of cash flow t · CF_t / (1 + r)^t

The first cash flow you enter is treated as year 1, the second as year 2, and so on. The initial investment is the outflow at time 0.

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Disclaimer. NPV is a single metric. Real project evaluation also uses IRR, payback period, sensitivity analysis, and qualitative judgment. Not investment, financial, or business advice.

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Frequently asked questions

Net Present Value is the sum of the present values of all future cash flows from a project, minus the initial investment. NPV measures the total value the project is expected to add at a chosen discount rate. NPV > 0 means the project clears its cost of capital and creates value; NPV < 0 means it destroys value.

NPV = -initial + Σ CF_t / (1 + r)^t, where CF_t is the cash flow at the end of year t, r is the discount rate, and t runs from 1 to the project's last year. Each future cash flow is divided by (1 + r) raised to the period number, which discounts it to today.

Use the project's required rate of return or weighted-average cost of capital (WACC). For corporate capital budgeting, this is usually 8 to 12%. For personal projects, use the realistic alternative return you could earn with similar risk. A higher discount rate makes the NPV smaller and the accept threshold higher.

NPV uses a given discount rate and produces a dollar value. IRR solves for the discount rate that makes NPV exactly zero, producing a percent return. NPV is generally preferred for ranking mutually exclusive projects because IRR can be misleading when cash flow patterns differ.

Yes. Negative cash flows (capex spikes, mid-project losses, end-of-life cleanup costs) are common. Enter them as negative numbers in the cash-flow list. The calculator discounts negative and positive cash flows the same way.

Be consistent. Use nominal cash flows with a nominal discount rate, or real (inflation-adjusted) cash flows with a real discount rate. Mixing the two produces a biased NPV. For most practical analysis, nominal is easier.