Bella is interested in buying a new motorcycle. She has decided to borrow money
ID: 2739078 • Letter: B
Question
Bella is interested in buying a new motorcycle. She has decided to borrow money to pay the $25,000 purchase price of the bike. She is in the 30% federal income tax bracket. She can either borrow the money at an interest rate of 5% from the motorcycle dealer, or she could take out a mortgage on her home. That mortgage would come with an interest rate of 6%. Interest payments on the mortgage would be tax deductible for Bella, but interest payments on the loan from the motorcycle dealer could not be deducted on Bella's federal tax return. a. Calculate the after-tax cost of borrowing from the motorcycle dealership. b. Calculate the after-tax cost of borrowing through a second mortgage on Bella's home. c. Which source of borrowing is less costly for Bella? d. Is there any other consideration that Bella ought to think about when deciding which loan to take out to pay for the motorcycle?
Explanation / Answer
Bella All Amounts in $ a. After-tax cost of borrowing for motorcycle dealership will be 5% only, since there is no tax benefit which can be claimed on this amount. b. After-tax cost of borrowing through a second mortgage on Bella's home will be 70% of 6% = 4.2%. c. From a and b above, it is clear that the borrowing through the second mortgage is less costly for Bella. d. Besides the interest rates, Bella also needs to consider the repayment schedule of the loan, the collaterals given thereagainst and the penalties for defaults in repayment thereof.
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