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You are buying a house and the mortgage company offers to let you pay a point (1.0% of the total amount of the loan) to
You are buying a house and the mortgage company offers to let you pay a "point" (1.0% of the total amount of the loan) to reduce your APR from 6.02% to 5.77% on your $424,000, 30-year mortgage with monthly payments. If you plan to be in the house for at least 5 years, should you do it? (Note: Be careful not to round any intermediate steps less than six decimal places.) The monthly mortgage payment at 6.02% APR is $ 2547.66. (Round to the nearest cent.) The monthly mortgage payment at 5.77% APR is $ 2479.63. (Round to the nearest cent.) The lower interest rate on the mortgage results in monthly savings of $ 68.03. (Round to the nearest cent.) The PV of the monthly savings is $ 3,526.99. (Round to the nearest cent.) The balance of the mortgage at the end of 5 years at 6.02% APR is $394,647.91. (Round to the nearest cent.) The balance of the mortgage at the end of 5 years at 5.77% APR is $393,412.62. (Round to the nearest cent.) The principal reduction due to the lower interest rate is $1235.29. (Round to the nearest cent.) The PV of the principal reduction is $ 926.35. (Round to the nearest cent.) The net benefit or cost is $213.34. (Round to the nearest cent.) The net benefit is positive therefore, you should pay the point. (Select from the drop-down menus.)
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