Question

Bella wans is interested in buying a new motorcycle. she has decided to borrow the money to pay the ​$30 comma 000 purchase price of the bike. she is in the 25​% 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 second mortgage on her home. that mortgage would come with an interest rate of 7​%. 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?

Answer 1

I think the best option for her to would be borrow the money at the interest rate of 5% for the motorcycle because that will be the debt will be her cheapest way instead of taking out a second mortgage on her home and another question that she should ask is the length of time it will take her to pay back the loan

Answer 2

Answer:

After-tax cost of borrowing = Interest rate x (1-tax rate)

Part a)  

Since Bella can’t deduct the interest payments on the loan taken from the dealer in her tax return, after-tax cost of borrowing will be the same as stated interest rate. So, the after-tax cost of borrowing from the dealership will be 5%.

Part b)  

After-tax cost of borrowing for second mortgage = 7% x (1-25%)  

After-tax cost of borrowing for second mortgage = 5.25%

Part c)

It is evident from the above two answers that borrowing loan from the dealer is less costly for Bella.

Part d)

Yes, Bella must consider the level of her first mortgage loan. If Bella opts for the second mortgage loan and if she is unable to pay her mortgage, she may lose her home due to this loan. So, she must check first, if she is able to pay the loan on time.