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William recently graduated from NFA University. While at NFA, William took out a $50,000 student loan. His loan requires him to make monthly payments for a 10-year period.
(a) If the simple annual interest is 4.2 percent, what are William’s monthly payments?
(b) To the nearest dollar, how much will William owe on his student loan after he makes payments for three years?
a. | ||||||||
In case of simple interest loan the amount of interest is not subject to compounding and thus the interest amount can be known at start | ||||||||
Monthly payment would consist of equal amount of interest and principal payable on loan | ||||||||
Total amount payable on loan | 50000+(50000*4.2%*10) | |||||||
Total amount payable on loan | 50000+21000 | |||||||
Total amount payable on loan | $71,000 | |||||||
Monthly payment | 71000/(10*12) | |||||||
Monthly payment | $591.67 | |||||||
Thus, William's monthly payment would be $591.67 | ||||||||
b. | ||||||||
Amount owed by william after 3 years | 592*(7*12) | |||||||
Amount owed by william after 3 years | $49,700 | |||||||
Thus, william would owe $49,700 after making payment for 3 years | ||||||||
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