Bill needs a new car and can afford monthly car payments of $400. The interest rate on new car loans is 7% APR and payments are made at month end. Bill wonders whether to arrange a 48 or 60 month loan. With either loan Bill will borrow the maximum amount and buy the most expensive car possible. The average annual rate of depreciation of a car's value is 18%. Bill can invest his spare cash in a mutual fund expected to pay 5%, Compounded monthly. Bill will keep whichever car he buys for 5 years. a.) What is the maximum he can spend on a car if he arranges a 48 month loan? What if he arranges a 60 month loan? b.) Compare Bill's wealth (the value of his car plus his investments) after 5 years if he arranges a 48 month loan to his wealth if he arranges a 60 month loan.
Bill needs a new car and can afford monthly car payments of $400. The interest rate on new car loans is 7% APR and payments are made at month end. Bill wonders whether to arrange a 48 or 60 month loan. With either loan Bill will borrow the maximum amount and buy the most expensive car possible. The average annual rate of
a.) What is the maximum he can spend on a car if he arranges a 48 month loan? What if he arranges a 60 month loan?
b.) Compare Bill's wealth (the value of his car plus his investments) after 5 years if he arranges a 48 month loan to his wealth if he arranges a 60 month loan.
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