8. You have just taken a car loan of $15,000. The loan is for 48 months at an annual interest rate of 15% (which the bank translates to a monthly rate of 15%/12 = 1.25%). The 48 payments (to be made at the end of each of the next 48 months) are all equal.

a. Calculate the monthly payment on the loan.

b. In a loan table calculate, for each month: the principal remaining on the loan at the beginning of the month and the split of that month s payment between interest and repayment of principal.

c. Show that the principal at the beginning of each month is the present value of the remaining loan payments at the loan interest rate (use either NPV or the PV functions).

B11 fic B D E G H J K A 1 Loan principal 2 Interest rate 3 annual 4 monthly 5 Loan term (months) 6 7 Monthly payment 8 Split of payment between: Part of question 9 Same Month Principal at beginning of month Payment Interest Principal PV of remaining payments answer using PV 10 11 12 13 14 15 16 17 18 19 20 21 22