In: Finance
Finance Charges. Bill wants to purchase a new car for $42 comma 000. Bill has no savings, so he needs to finance the entire purchase amount. With no down payment, the interest rate on the loan is 17% and the maturity of the loan is six years. His monthly payments will be $934.34. Bill's monthly net cash flows are $667. Bill also has a credit card with a $12 comma 055 limit and an interest rate of 22%. If Bill uses all of his net cash flows to make the monthly payments on the car, how much will he add each month to his credit card balance if he uses it to finance the remainder of the car? What will the finance charges be on his credit card for the first two months that finance charges apply? (Assume that Bill makes no payments on his credit card for the first two months.)
The amount Bill will add each month to his credit card balance if he uses it to finance the remainder of the car is $
Answer:
If Bill uses all of his net cash flows to make the monthly payments on the car, how much will he add each month to his credit card balance if he uses it to finance the remainder of the car?
The amount Bill will add each month to his credit card balance if he uses it to finance the remainder of the car is $ 267.34
What will the finance charges be on his credit card for the first two months that finance charges apply? (Assume that Bill makes no payments on his credit card for the first two months.)
In the first 2 months, bill will add (267.34*2) $ 534.68 to his credit card balance. Finance charges at 22% for 2 months will be: $ 534.68 * 0.22 * 2/12 = $19.60
Working:
Heading | Explanation | Amount $ |
Cost of new car | PV | 42000 |
Interest rate | Rate | 1.417% |
Term (years) | 6 | |
Term (months) | NPER | 72 |
Monthly payments | PMT(rate,nper,pv,fv,type) | 934.34 |
Monthly net cash flows | 667 | |
Paid through credit card to finance car per month | 934.34-667 | 267.34 |
Payment for car through credit card for 2 months | 2*267.34 | 534.68 |
Finance charges/Interest | [534.68*0.22*2/12 | 19.60 |