Question

Dubai Corporation is looking to purchase a building costing $830,000 by paying $265,000 cash on the purchase date, and agreeing to make payments every three months for the next five years. The first payment is due three months after the purchase date. Dubai's incremental borrowing rate is 16%. Each of the payments is closest to

Answer 1

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.