Question

What is the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months? ( I hate asking for help, but I am very bad at math... Could someone possibly help me figure it out? By going through the steps)

a.
$25.47
b.
$202.55
c.
$611.20
d.
$4,861.20

Answer 1

the correct answer is c

Answer 2

There is a formula for a loan : A = P * r * ( r + 1 ) ^n / (( r + 1 ) ^n - 1 ), where P is the loan and A is the monthly payment. So P = $4,250 and r = 0.1325 : 12 = 0.011. ( 13.25 % = 0.1325 and we divide it by 12, because the interest is compounded monthly ). A = 4,250 * 0.011 * 1.011^(24) / ( 1.011^(24) - 1 ) = 4,250 * 0.11 * 1.3 / 0.3 = 4,250 * 0.0477; A = $202.55. Finally we have to multiply this sum by 24 : the total finance charge: $202.55 * 24 = $ 4,861.20. Answer: D ) $4,861.20