Answer:
X=97.24
Explanation:
PV = Present Value = X+2000 by the 16th years
PMT = Payments = $100
FV = Future Value = 2000 at the end of 16 years
n= number of years
Applying the equation of future value for annuity
FV = pmt* ((1+r)ⁿ - 1
)/r
Inputting the values;
2000=100*((1+r)¹⁶-1)/r
Solving for r, gives r = 2.9%
Therefore using the formula for PV for annuity;
PV=PMT*(1-(1/1+r)/r)
X=100*(1-(1/1.029)/0.029
X=100*((1-0.9718)/0.029)
X=100*(0.0282/0.029)
X=97.24
The appropriate fiscal policy for when an economy goes into recession would be the expansionary fiscal policy.
212.24 would be your answer. 12.24 is just how much he makes off interest, not the total amount. 200 is what he started with. And 400 is just way to high of a number.