When to use it

Use it when evaluating financial options with explicit timing, a suitable discount rate and defensible cash-flow estimates.

Check before calculating

Do not treat positive NPV as proof that a project is affordable, strategically suitable or free of risk.

  1. Define the scope, status date and units before collecting the inputs.
  2. Substitute the values into the formula and retain their units.
  3. Interpret the result against the assumptions and decide what evidence or action is needed next.

Formula & inputs

NPV = Σ CFₜ ÷ (1 + r)ᵗ

CFₜ is a signed net cash flow at period t. The rate r uses the same period; the initial cash flow occurs at t = 0.

Worked example

An illustrative project requires €100,000 now and produces €40,000 at each of the next three year ends. The assumed annual discount rate is 10%.

−100,000 + 40,000/1.1 + 40,000/1.1² + 40,000/1.1³ = €-525.92

The present value is slightly negative under these assumptions. Test the cash flows and rate rather than treating the result as certain.

Common pitfall

Mixing nominal cash flows with a real discount rate, omitting later costs or discounting the initial outlay again distorts the result.

Source & related material

Standard quantitative technique; this explanation is by fannarmaximus. No single inventor is claimed. The arithmetic is computed from explicit inputs, not copied from an official sample question.

OpenStax: net present value

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