Teresa is buying a car for \[tex]$23,550. She will finance \$[/tex]19,600 of it with a 2-year loan at 2.7% APR.

What will her monthly auto payment be?

Monthly Car Loan Payment Per \[tex]$1000 Borrowed
\begin{tabular}{|c|c|c|c|c|}
\cline{2-5} \multicolumn{1}{c|}{} & \multicolumn{4}{|c|}{Term (months)} \\
\hline Rate & 24 & 36 & 48 & 60 \\
\hline 2.5\% & 42.760 & 28.861 & 21.914 & 17.747 \\
\hline 2.6\% & 42.805 & 28.905 & 21.958 & 17.791 \\
\hline 2.7\% & 42.849 & 28.949 & 22.002 & 17.836 \\
\hline 2.8\% & 42.893 & 28.993 & 22.046 & 17.880 \\
\hline 2.9\% & 42.937 & 29.037 & 22.090 & 17.924 \\
\hline 3.0\% & 42.981 & 29.081 & 22.134 & 17.969 \\
\hline
\end{tabular}

\[\$[/tex]428.49\]



Answer :

To determine Teresa's monthly auto payment, we need to use the table provided for the APR and the term of the loan.

1. Identify the loan amount and the table value:
- Teresa is financing \[tex]$19,600. - The interest rate on her loan is 2.7% APR. - The term of the loan is 24 months. 2. Find the monthly car loan payment per \$[/tex]1000 borrowed:
- According to the table, for a 2.7% APR over 24 months, the monthly payment per \[tex]$1000 borrowed is \$[/tex]42.849.

3. Calculate the monthly payment:
- First, convert the total loan amount to units of \[tex]$1000: \[ \text{Loan Amount (in units of \$[/tex]1000)} = \frac{\[tex]$19,600}{\$[/tex]1000} = 19.6
\]
- Next, multiply this value by the payment per \[tex]$1000: \[ \text{Monthly Payment} = 19.6 \times 42.849 = \$[/tex]839.8404
\]

So, Teresa's monthly auto payment will be \$839.84.