The inception of annuity is $4850
An insurance contract known as a annuity is one that financial institutions sell with the goal of paying out invested money as a fixed income stream in the future.
Given Initial Cash flow is $2000
The rate of interest is 12%
We need to calculate the present value of the growing annuity that is
The inception of the annuity
Present value of the growing annuity can be calculated by
PV = C/r [1-(1/1+r)^n]
Where , C = $2000
r = 12%
n = 3
Substituting the values in the formula
PV = 2000/0.12[1-(1/1+0.12)^3
PV = 2000/0.12 (1-0.709)
PV = 2000/0.12 (0.291)
PV = 1,666.66 (0.291)
PV = $4850
Hence the present value of the growing annuity is $4850
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