Growing Ordinary Annuity Calculator - Payment Using Future Value

Use this calculator to determine the payment of an growing ordinary annuity using future value. A growing ordinary annuity is a series of increasing payments paid at the end of successive periods.

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Growing Ordinary Annuity Calculator - Payment Using Future Value
Future Value ($):
Discount Rate (%):
Payment Growth Rate (%):
Payment Number:
Number Payments:
Payment
   Do not enter $ or % in any field.

Computational Notes:


If the discount rate and the growth rate are not equal, the payment formula is:

     P = [FV * ((r - g) / ((1 + r)^n - (1 + g)^n))] * (1 + g)^(pn - 1)

If the discount rate and the growth rate are equal, the payment formula is:

     P = [FV / (n * (1 + r)^(n - 1))] * (1 + g)^(pn - 1)

    
Where:

FV = Future Value

P = Payment

r = Discount Rate / 100

g = Payment Growth Rate / 100

pn = Payment Number

n = Number Payments

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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