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You decide to buy a house with price of $450,000. You put 20% down payment and consider a30-year fixed rate mortgage to pay the remaining

You decide to buy a house with price of $450,000. You put 20% down payment and consider a30-year fixed rate mortgage to pay the remaining balance. The lender offers you two choices of the mortgage with monthly payments:

Choice Mortgage Rate Points
1 7% 0
2 6.2% 3

Suppose that the origination cost is $6,000 and your marginal tax rate is 25%.

1. If you hold the loan for 30 years, what is the effective cost for each choice after-tax?

2. How about the effective cost for each choice after-tax if the loan will only be outstanding for 5 years (60 months) (i.e. the borrow will pay off the loan at the end of 60months)?

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