Reference no: EM132500775
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 6.08% to 5.83 % on your $ 403,000, 30?-year mortgage with monthly payments. If you plan to be in the house for at least five? years, should you do? it? ?(Note: Be careful not to round any intermediate steps less than six decimal? places.)
The monthly mortgage payment at 6.08 % is $___ ?(Round to the nearest? cent.)
The monthly mortgage payment at 5.83 % is $___ ?(Round to the nearest? cent.)
The lower interest rate on the mortgage results in monthly savings of ?$___(Round to the nearest? cent.)
The PV of the monthly savings is ?$___ (Round to the nearest? cent.)
The balance of the mortgage at the end of five years at 6.08 % APR is ?$___ ?(Round to the nearest? cent.)
The balance of the mortgage at the end of five years at 5.83 % APR is ?$___ (Round to the nearest? cent.)
The principal reduction due to the lower interest rate is ?$___ ?(Round to the nearest? cent.)
The PV of the principal reduction is ?$___ ?(Round to the nearest? cent.)
The net benefit or cost is ?$___ ?(Round to the nearest? cent.)
The net benefit is (negative or positive) therefore, you (should or should not) pay the point.
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