Mary Smith took a car loan of $25,000 to pay back in 48 monthly installments at an interest rate of 8%. Compute the loan balance immediately after the 32th payment. Group of answer choices $11,937 $9,233 $12,500 $9,765

$9,233.

Explanation:

The balance of the loan after the 32th payment can be determined after constructing a loan amortization schedule for this car loan. To construct the amortization schedule, we need to first calculate the monthly instalments (PMT) as this is the missing parameter for our time value of money.

I am using a financial calculator here to calculate the monthly instalment :

PV = $25,000

P/YR = 12

I = 8%

N = 48 (years)

FV = $0

PMT = ?

Therefore, the monthly instalment PMT is  $610.32.

But, we need the balance immediately after the 32th payment, so we construct an amortization schedule - now that we have all the parameters.

On a financial calculator enter 1 INPUT 32, SHIFT AMORT.

Pressing the equal sign gives the principle then interest and finally the balance of this loan after the 32th payment. The balance you should get if you follow this procedure carefully is $9,233.