MINDTAP FIN 331 AOL FINAL REVIEw Due Today at 4 PM You\'ve decided to buy a hous
ID: 2618922 • Letter: M
Question
MINDTAP FIN 331 AOL FINAL REVIEw Due Today at 4 PM You've 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 996 fixed nominal interest rate (caled the loan's annual percentage rate or APR). Under this loan proposal, your mortgage payment will be $7,241.60 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 9% (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 won't 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? O $1,137,359.52 O $1,233,745.92 O $963,864.00 $1,330,132.32 Which of the following statements is not true about mortgages? O The ending balance of an amortized loan contract will be zero. O Every payment made toward an amortized loan consists of two parts-interest and repayment of principal. O Mortgages are examples of amortized loans. O If the payment is less than the interest due, the ending balance of the loan will decrease. MacBook AExplanation / Answer
N = 180, FV = 0, PV = 900,000, rate = 9%/12
use PMT function in Excel
monthly payment for 15 years = 9,128.40
put N = 360 for 30 years and calculate PMT
monthly payment for 30 years = 7,241.60
difference = 9,128.40 - 7,241.60 = 1,886.80
b. total difference in interest = 360*7241.60 - 180*9128.40 = 963,864
c. option D
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