What is the formula to calculate the future value of an annuity due with perpetuity and growth?

Economics Time Value Of Money Questions



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What is the formula to calculate the future value of an annuity due with perpetuity and growth?

The formula to calculate the future value of an annuity due with perpetuity and growth is:

FV = PMT * [(1 + r) / r] * [(1 + g) / (r - g)]

Where:
FV = Future value of the annuity
PMT = Payment amount per period
r = Interest rate per period
g = Growth rate per period