Growing Ordinary Annuity Calculator - Future Value

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

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

Computational Notes:


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

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


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

    FV = P * n * (1 + r)^( n - 1)


Where:

FV = Future Value

P = Payment

r = Discount Rate / 100

g = Growth Rate / 100

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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