Answer:
PV= $56,508.47
Step-by-step explanation:
Giving the following information:
Semmiannual payment= $4,700
Number of periods (n)= 9*2= 18 semesters
Interest rate= 0.058/2= 0.029
First, we need to calculate the value of the payments at the moment of the first payment:
PV= A*{(1/i) - 1/[i*(1 + i)^n]}
A= Semmiannual payment
PV= 4,700*{(1/0.029) - 1/[0.029*(1.029^18)]}
PV= $65,191.42
Now, the present value using the following formula:
PV= FV / (1 +i)^n
n= 2.5*2= 5 semesters
PV= 65,191.42 / (1.029^5)
PV= $56,508.47