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NPV

Net present value of future cash flows.

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What does NPV mean?

Net Present Value (NPV) is a financial metric that calculates the difference between the present value of future cash inflows and the initial investment cost. A positive NPV means the projected earnings exceed the anticipated costs, making the investment profitable. A negative NPV indicates the investment would lose money. NPV is one of the most widely used methods in capital budgeting and investment planning.

How to calculate NPV

NPV is calculated by discounting each future cash flow back to the present using the formula: NPV = sum of [Cash Flow / (1 + r)^t] - Initial Investment, where r is the discount rate and t is the period number. For example, if you invest $50,000 and expect $15,000 per year for 5 years at a 10% discount rate, each cash flow is divided by (1.10)^t for its respective period, then summed and reduced by the initial investment. The profitability index is the ratio of total present value of cash flows to the initial investment — values above 1.0 indicate a worthwhile investment.

FAQ

Any positive NPV means the investment is expected to generate more value than it costs. The higher the NPV, the more profitable the investment. However, NPV should be compared across mutually exclusive projects — choose the one with the highest NPV when capital is limited.

The discount rate typically reflects your required rate of return or the cost of capital. For corporate projects, the Weighted Average Cost of Capital (WACC) is commonly used. For personal investments, you might use the expected return of an alternative investment with similar risk.

The profitability index (PI) is the ratio of the present value of future cash flows to the initial investment. A PI greater than 1.0 means the investment creates value. It is useful for ranking projects when you have limited capital, as it shows the value created per dollar invested.

NPV gives you the dollar amount of value an investment creates, while IRR (Internal Rate of Return) gives you the discount rate at which NPV equals zero. NPV is generally preferred because it provides an absolute measure of value, whereas IRR can be misleading with non-conventional cash flows or mutually exclusive projects.

Yes. A negative NPV means the present value of expected cash flows is less than the initial investment. This indicates the project would destroy value and should generally be rejected, assuming the discount rate and cash flow estimates are accurate.

Related calculators

  • ROIReturn relative to investment cost.
  • CAGRAverage annual growth rate.
  • Compound InterestGrowth of money with reinvested interest.
  • Break-EvenPoint where revenue equals cost.