Moulton Motors is advertising the following deal on a new Honda Civic: "Monthly payments of $400.40 for the next 60 months and this beauty can be yours!" The sticker price of the car is $18,000.If you bought the car, what interest rate would you be paying in both APR and EAR terms? What is the amortization schedule of the first six payments? If you bought the car, what monthly interest rate would you be paying?
1.
APR:=RATE(60,-400.40,18000)*12=12%
EAR=(1+12%/12)^12-1=12.6825%
2.
Payment | Loan beginning balance | Payment | Interest payment | Principal payment | Loan ending balance |
1 | 18000 | $400.40 | $180.00 | $220.40 | $17,779.60 |
2 | $17,779.60 | $400.40 | $177.80 | $222.60 | $17,557.00 |
3 | $17,557.00 | $400.40 | $175.57 | $224.83 | $17,332.17 |
4 | $17,332.17 | $400.40 | $173.32 | $227.08 | $17,105.09 |
5 | $17,105.09 | $400.40 | $171.05 | $229.35 | $16,875.74 |
6 | $16,875.74 | $400.40 | $168.76 | $231.64 | $16,644.10 |
3.
monthly interest rate is 12%/12=1%
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