Derek borrows $264,831.00 to buy a house. He has a 30-year mortgage with a rate of 5.26%. After making 149.00 payments, how much does he owe on the mortgage?
Information provided:
Present value= $264,831
Time= 30 years*12 = 360 months
Interest rate= 5.26%/12= 0.4383% per month
The question is calculating the monthly payment.
The monthly payment is calculated by entering the below in a financial calculator:
PV= -264,831
N= 360
I/Y= 0.4383
The value obtained is 1,464.05.
Therefore, the monthly payment is $1,464.06.
Amount owed after making 149 payments:
= $264,831 - ($1,464.04*149)\
= $264,831 - $218,143.45
= $46,687.55.
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