Answer:
The approximate payment at the end of every month will be $603.22.
Explanation:
Since the payment is going to be made at the end of every month, 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 = Price of BMW - Down payment - Old car sales amount = $54,000 - ($54,000 * 20%) - $10,000 = $33,200
P = Monthly payment = ?
r = Monthly interest rate = Annual interest rate / 12 = 3.45% / 12 = 0.0345 /
12 = 0.002875
n = number of months = 60
Substitute the values into equation (1) and solve for P, we have:
$33,200 = P * ((1 - (1 / (1 + 0.002875))^60) / 0.002875)
$33,200 = P * 55.0377058660197
P = $33,200 / 55.0377058660197
P = $603.22
Therefore, the approximate payment at the end of every month will be $603.22.
