Answer:
Present value is $74,116.62
Explanation:
Giving the following information:
The machine pays= $2,655.00 every six months
n= 27 years= 54 semesters
Interest rate= 0.13/2= 0.065
First, we need to calculate the final value using the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual pay
FV= {2,655*[(1.065^54)-1]}/0.065= $1,183,854.61
Now, we can calculate the present value using the following formula:
PV= FV/(1+i)^n
PV= 1,183,854.61/(1.065)^44= $74,116.62
