Time Value of Money PART 10 | Growing Annuity and Perpetuity

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GROWING ANNUITY
An annuity might grow at a given constant rate, g.
PV of growing ordinary annuity = A(1+g) × (1 - ((1+g)/(1+r))^n)/(r-g)
Where A(1+g) represents Cash flow at the end of year 1 (CF1) which is what will will the first stream of cash flows.
Future Value = PV × (1 + r)n = A(1+g) × ((1+r)^(n )-(1+g)^(n ))/(r-g)

GROWING PERPETUITY
A perpetuity might grow at a given constant rate, g.
PV of growing ordinary perpetuity = (A(1+g))/(r-g)
Where A(1+g) = First stream of cash flows = CF1
PV = CF1/(r-g)
#annuity #growing_annuity #perpetuity
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