Present value of a future value or future sum (given discount rate or periodic interest rate or rate of return)

Formula

Present value of a future value or future sum (given discount rate or periodic interest rate or rate of return) formula
PV
present value or value at time=0
FV
future value or value at time=n
i
discount rate or the interest rate at which the amount will be compounded each period
n
number of periods

Formula description

The current worth of a future sum of money or stream of cash flows given a specified rate of return. Future cash flows are discounted at the discount rate, and the higher the discount rate, the lower the present value of the future cash flows. Determining the appropriate discount rate is the key to properly valuing future cash flows, whether they be earnings or obligations.

Calculator (how to use calculator?)

Present value of a future value or future sum (given discount rate or periodic interest rate or rate of return) formula
FV
i
n
PV
Precision

Formula code

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References

  1. Wikepedia: Time value of money - Present value of a future sum.

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