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4. Mortgage payments Youve decided to buy a house that is valued at $1 million. You have $100,000 to use as a down payment on

4. Mortgage payments

Youve decided to buy a house that is valued at $1 million. You have $100,000 to use as a down payment on the house, and want to take out a mortgage for the remainder of the purchase price. Your bank has approved your $900,000 mortgage, and is offering a standard 30-year mortgage at a 10% fixed nominal interest rate (called the loans annual percentage rate or APR). Under this loan proposal, your mortgage payment will be ___________________ per month. (Note: Round the final value of any interest rate used to four decimal places.)

Your friends suggest that you take a 15-year mortgage, because a 30-year mortgage is too long and you will pay a lot of money on interest. If your bank approves a 15-year, $900,000 loan at a fixed nominal interest rate of 10% (APR), then the difference in the monthly payment of the 15-year mortgage and 30-year mortgage will be _______________? (Note: Round the final value of any interest rate used to four decimal places. )

____________________________________________________________________________________

It is likely that you wont like the prospect of paying more money each month, but if you do take out a 15-year mortgage, you will make far fewer payments and will pay a lot less in interest. How much more total interest will you pay over the life of the loan if you take out a 30-year mortgage instead of a 15-year mortgage?

$1,102,415.40

$1,521,333.25

$1,300,850.17

$1,411,091.71

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