Net present value

Gives the value today of a series of future cash flows discounted at a given rate, with the initial investment entered as a negative cash flow at time zero. Used in capital budgeting to decide whether a project or investment adds value.

NPV = \sum_{t=0}^{n} \frac{C_t}{(1+r)^t}

What the symbols mean

net present value (in currency units)
net cash flow at time period $t$ (in currency units)
discount rate per period (as a decimal)
time period index
total number of periods

About this formula

  • FieldEconomics and finance
  • TopicCorporate finance and investment appraisal
  • LevelUniversity
  • Also calledNPV formula, net present value of cash flows, discounted cash flow, DCF, present value of cash flows, NPV of investment

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