Answer:
B. The 5-year term would be $ 1,186.80 lower
Step-by-step explanation:
The repayment parameters of the $10,000 loan Trey qualifies for are given as follows;
The loan interest rate = 4.29%
The monthly payments for the 5 year loan term = $185.48
The monthly payments for the 10 year loan term = $102.63
The total repayment amount for the 5 year loan term, '[tex]A_{5 \ years}[/tex]' is given as follows;
[tex]A_{5 \ years}[/tex] = $185.48 × 5 × 12 = $11,128.8
While the total repayment amount for the 10 year loan term, '[tex]A_{10 \ years}[/tex]' is given as follows;
[tex]A_{10 \ years}[/tex] = $102.63 × 10 × 12 = $12,315.6
The difference between the total repayment for the 10-year term and the 5-year term loan, [tex]A_{10 \ years}[/tex] - [tex]A_{5 \ years}[/tex], is given as follows;
[tex]A_{10 \ years}[/tex] - [tex]A_{5 \ years}[/tex] = $12,315.6 - $11,128.8 = $1,186.80
Therefore, the 5-year term is lower than the 10-year term by $1,186.80