Answer:
$113,465
Explanation:
Calculation to determine difference in total dollars that will be paid to the lender under each loan
First step is to Calculate the difference in payments on a 30-year mortgage at an interest rate of .75% a month
$100,000 = PMT([1 / (0.0075)] − 1 / {(0.0075)[(1.0075)]^30 × 12})
PMT = $804.62
Second step is to Calculate the difference in payments on a 15-year mortgage at an interest rate of .7% a month
$100,000 = PMT([1 / (0.007)] − 1 / {(0.007 )[ 1.007)]^15 × 12})
PMT = $ 978.87
Now let determine the Total difference
Total difference = ($804.62 × 12 × 30) − ($978.87 × 12 × 15)
Total difference= $113,465
Therefore difference in total dollars that will be paid to the lender under each loan is $113,465
