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Finance Charges.  Bill wants to purchase a new car for ​$42 comma 000. Bill has no​...

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 ​$

Solutions

Expert Solution

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

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