Perpetuity Calculator - Present Value of Growing Perpetuity

Use this calculator to determine the present value of a growing perpetual annuity, which is a series of growing payments paid indefinitely at the end of successive periods.

Perpetuity Calculator - Present Value of Growing Perpetuity
Payment ($):
Discount Rate (%):
Payment Growth Rate (%):
Present Value
   Do not enter $ or % in any field.

Computational Notes:


The present value is computed using the following formula:

      PV = P / (r - g)

Where:

PV = Present Value

P = Payment

r = Discount Rate / 100

g = Payment Growth Rate / 100

Adjust the discount rate to reflect the interval between payments which typically are annual, semiannual, quarterly or monthly. For example, for a 6% annual discount rate, enter 6 for an annual interval. Enter 3 for a semiannual interval. Enter 1.5 for a quarterly interval. Enter .5 for a monthly interval.

The discount rate is the same for all payment periods.


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