High School

Donald owes $29000 in a consolidated student loan. If the loan must be repaid in 19 years at 6% annual interest, what will his monthly payment be?


a)$127


b)$254


c)$64


d)$213

Answer :

Donald's monthly payment, given the cost of the student loan, and the number of years as well as annual interest, is D. $ 213

How to find the monthly payment ?

The monthly payment is constant and periodic which means that it is an annuity. This makes the current loan balance of $ 29, 000 the present value of an annuity.

The periodic rate :

= 6 % / 12 months

= 0. 5 %

The number of periods :

= 19 x 12

= 228 months

The monthly payment is:

= Present annuity value / Present value of Annuity interest factor, 0. 5%, 228 periods

= 29, 000 / 135.85424588579

= $ 213

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