Answer:
Each payment is closest to $41,573.69.
Explanation:
This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or the balance to pay for the building = $830,000 - $265,000 = $565,000
P =Quarterly payment or payment after every three months = ?
r = Quarterly interest rate = Incremental borrowing rate / Number of quarters in a year = 16% / 4 = = 4%. or 0.04
n = number of quarters = Number of years * Number of quarters in a year = 5 * 4 = 20
Substitute the values into equation (1) and solve for P, we have:
$565,000 = P * ((1 - (1 / (1 + 0.04))^20) / 0.04)
$565,000 = P * 13.5903263449677
P = $565,000 / 13.5903263449677
P = $41,573.69
Therefore, each payment is closest to $41,573.69.
