Present value of a future sum

Gives the value today of a payment to be received n periods in the future, discounted at the interest rate r per period. It is used in finance and investment appraisal to compare cash flows occurring at different times.

PV=\frac{FV}{(1+r)^{n}}

What the symbols mean

present value, the amount today (in currency units)
future value, the amount received in the future (in currency units)
discount or interest rate per period
number of periods until the payment

About this formula

  • FieldEconomics and finance
  • TopicTime value of money
  • LevelHigh school
  • Also calledpresent value formula, discounting formula, present value, discounted value, time value of money present value

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