How much money will a borrower using Loan 2 pay in interest over the life of the loan?

\begin{tabular}{|l|r|r|}
\hline & \multicolumn{1}{|c|}{ Loan 1 } & \multicolumn{1}{c|}{ Loan 2 } \\
\hline Principal & \multicolumn{1}{|c}{[tex]$\$[/tex] 2500.00[tex]$} & $[/tex]\[tex]$ 2500.00$[/tex] \\
\hline Monthly Payment & [tex]$\$[/tex] 50.00[tex]$ & $[/tex]\[tex]$ 80.00$[/tex] \\
\hline Duration & 60 months & 36 months \\
\hline
\end{tabular}

[tex]$\$[/tex][?]$



Answer :

To determine how much interest a borrower will pay over the life of Loan 2, we'll follow a step-by-step approach:

1. Identify the principal amount of Loan 2:
The principal amount for Loan 2 is [tex]$2500.00. 2. Identify the monthly payment for Loan 2: The monthly payment for Loan 2 is $[/tex]80.00.

3. Identify the duration of Loan 2 in months:
The duration for Loan 2 is 36 months.

4. Calculate the total amount paid over the life of Loan 2:
The formula to find the total amount paid is:
[tex]\[ \text{Total Amount Paid} = \text{Monthly Payment} \times \text{Duration Months} \][/tex]
Plugging in the given values:
[tex]\[ \text{Total Amount Paid} = 80.00 \times 36 = 2880.00 \][/tex]

5. Calculate the total interest paid:
The interest paid is the difference between the total amount paid and the principal amount. The formula to find the total interest is:
[tex]\[ \text{Total Interest Paid} = \text{Total Amount Paid} - \text{Principal} \][/tex]
Substituting the values we have:
[tex]\[ \text{Total Interest Paid} = 2880.00 - 2500.00 = 380.00 \][/tex]

Therefore, the borrower will pay \$380.00 in interest over the life of Loan 2.