a simple interest installment loan with an annual rate of 5% for 3 years. The projected resale value of the car after 2 years is $17,000.
1) Compute the loan value and monthly loan payments. (10 pts)
2) Create a monthly amortization schedule over the entire loan period. (10 pts)
3) Compute total interest over the entire loan period. (5 pts)
4) Compute the total cash outflow (tax, plus down payment, plus total monthly loan payments). (8 pts)
5) Compute the amount you would net after selling the car at 2 years. (7 pts)
Please show all calculations and complete monthly amortization schedule.
Below are the steps he wants us to follow for each question.
Questions:
1) Compute monthly loan payments
3 steps:
1) Compute Loan Value
Purchase Price (Given)
– Down Payment (Given)
= Loan Value
2) Convert annual loan term to # of months and interest rate to monthly
Interest rate (should be in decimal form)
3) Use Excel formula to compute monthly payment
= – PMT(rate, period, PV)
Pull these from steps 1 and 2
2) Create monthly amortization schedule
10 steps:
1) Enter column headings:
Beginning Balance =BB
Monthly Payment = PMT
Monthly Interest = INT
Monthly Principal Repaid = PRINC
Ending Balance = EB
2) Enter months by #
1 in first row; = first row cell + 1 for rest
3) Enter first BB (pull loan value from question 1)
4) Enter first PMT (pull from question 1; anchor row using $)
5) Compute first INT: Multiply BB by Monthly interest rate (from Question 1; anchor using $)
6) Compute first PRINC: =PMT – INT
7) Compute first EB: =BB – PRINC
8) Copy down first row until end of loan term
9) Go to second row of amortization schedule, first column (BB) & pull EB from first row. Copy this formula down to end of loan term
Check to be sure EB in last month of loan term = 0
10)Enter SUM formula at bottom to sum PMT, INT, PRINC columns
Check to be sure PRINC sum = Loan Value from Question 1
3) Compute total interest
Use sum of INT column computed in Question 2
4) Compute total cash outflow
Down Payment
+ Total of PMT column (from Question 2)
+ Up front tax payment
= Total Cash Outflow
5) Compute amount you would net after selling car at 3 years
Sale Price at End of Yr 3 (Given)
– Loan Balance Remaining at end of Yr 3 (EB in Mo 36)
= Amount Netted From Selling Car at End of Yr 3
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