Question 9
Jenny borrowed $18 000. She will fully repay the loan in five years with equal monthly payments.
Interest is charged at the rate of 9.2% per annum, calculated monthly, on the reducing balance.
The amount Jenny has paid off the principal immediately following the tenth repayment is
A. $1876.77
B. $2457.60
C. $3276.00
D. $3600.44
E. $3754.00
Okay, firstly you want to find how much is the monthly repayment. So using the information above, through the TVM Solver
N: 60 (5 x 12(monthly repayments for 5 years)
I: 9.2
PV= 18000 (she borrowed it, so it's in her pocket. Positive value)
PMT = -375.40 FV = 0
P/Y = 12
C/Y = 12
Okay, now that we have that, we want to find out how much of the principal has been paid at the 10th repayment.
N= 10 (1 payment per month; 10 repayments =10 months)
I=9.2
PV=18000
PMT=-375.40
FV= -15542.39P/Y=12
C/Y=12
Although negative value, use logic to assume it's a positive numberThen simply, principal - future value = 18000 - 15542.39(I preferably don't round up and just look for the one closest) = $2457.61
So the answer is B.
