Question

You have just finished paying off your $35,125 loan, a feat which took ten years of quarterly payments. The loan had an interest rate of 7.44%, compounded quarterly. If you also paid $5,180.70 in service charges, what percentage of the total cost was made up by your finance charges? Round all dollar values to the nearest cent. a. 25.69% b. 36.47% c. 57.41% d. 27.10%

Answer 1

36.47%

Explanation:

Answer 2

We have to compute first for the total cost of the loan by obtaining the monthly amortization:
A= P/ [(1+ r/n)^n-1] /r(1+r/n)^n
where
P= loan amount
P= $35125
r=interest rate of 7.44%
n = compounding frequency of 4
t= length of loan 10 years
A= $1252.7
Total cost = $1252.7x40=$50108
Computing the percentage of the finance charges
Finance charge = debt charge+service charge
Finance charge% =($50108-$32125+$5180.7)($50108+$5180.7)x 100
=36.47%
The answer is letter b.36.47%