How much money will a borrower using Loan 1 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 & [tex]$\$[/tex] 5000.00[tex]$ & $[/tex]\[tex]$ 5000.00$[/tex] \\
\hline Monthly Payment & [tex]$\$[/tex] 148.00[tex]$ & $[/tex]\[tex]$ 113.00$[/tex] \\
\hline Duration & 36 months & 48 months \\
\hline
\end{tabular}



Answer :

To determine how much money a borrower will pay in interest for Loan 1 over the life of the loan, we will follow these steps:

1. Identify the principal amount (the initial amount borrowed):
The principal amount for Loan 1 is [tex]$5000.00. 2. Identify the monthly payment amount: The monthly payment for Loan 1 is $[/tex]148.00.

3. Identify the duration of the loan in months:
The duration of Loan 1 is 36 months.

4. Calculate the total amount paid over the life of the loan:
To find the total amount paid, we will multiply the monthly payment by the number of payments (duration in months).

Total amount paid = Monthly payment × Duration
[tex]\[ \text{Total amount paid} = 148.00 \, \text{\$} \times 36 \, \text{months} = 5328.00 \, \text{\$} \][/tex]

5. Calculate the total interest paid:
The total interest paid is the difference between the total amount paid over the life of the loan and the principal amount borrowed.

Total interest paid = Total amount paid - Principal
[tex]\[ \text{Total interest paid} = 5328.00 \, \text{\$} - 5000.00 \, \text{\$} = 328.00 \, \text{\$} \][/tex]

Hence, the borrower will pay $328.00 in interest over the life of Loan 1.