An unsubsidized Stafford loan is a non-needed loan. The amount of interest capitalized greater than the minimum amount Olivia could pay will be $654.45. Thus, option a is correct.
Interest capitalization is the addition of the unpaid interest amount to the principal amount of the federal loan taken by the students.
The amount is calculated by, [tex]\rm A = P(1 + \dfrac{r}{n})^{nt}[/tex]
Given,
Initial principal amount (P) = $13,100
Interest rate (r) = 7.6%
The times of the interest applied per time (n) = 12
Time elapsed (t) = 4
Substituting values above:
13100 (1 + 0.076 ÷ 12)⁽⁴⁸⁾ - 13100 = 4636.85
And,
13100 (0.076 ÷ 12) x 4 x 12 = 3982.40
4636.85 - 3982.40 = 654.45
Therefore, $654.45 is the amount that can prevent interest capitalization.
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