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How to calculate NPV (net present value)

NPV is the sum of each future cash flow divided by (1 + discount rate) to the power of its year, minus the initial investment. You choose the discount rate.

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The formula

NPV = −initial investment + Σ CFₜ ÷ (1 + r)ᵗ for t = 1…n.

Step by step

  1. List the initial investment and each year's cash flow.
  2. Choose a discount rate.
  3. Discount each cash flow to today.
  4. Add them and subtract the investment.

Worked example

Invest 10,000; receive 4,000 a year for 3 years; 8% rate

  • 4,000 ÷ 1.08 = 3,703.70
  • 4,000 ÷ 1.08² = 3,429.36
  • 4,000 ÷ 1.08³ = 3,175.33
  • Total 10,308.39 − 10,000

NPV is about 308.39.

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