What is the total mortgage for a [tex]$\$[/tex]240,000[tex]$ purchase, a $[/tex]10\%[tex]$ down payment, and the closing costs shown in the table?

\begin{tabular}{|l|r|}
\hline
Credit Report & $[/tex]\[tex]$200.00$[/tex] \\
\hline
Loan origination fee & [tex]$1\%$[/tex] \\
\hline
Attorney and notary & [tex]$\$[/tex]500.00[tex]$ \\
\hline
Documentation stamp & $[/tex]0.50\%[tex]$ \\
\hline
Processing Fee & $[/tex]\[tex]$200.00$[/tex] \\
\hline
\end{tabular}



Answer :

Sure! Let's break down the calculations step by step to find the total mortgage amount for the given purchase.

1. Purchase Price:
The purchase price of the property is \[tex]$240,000. 2. Down Payment: The down payment percentage is 10%. \[ \text{Down Payment} = \text{Purchase Price} \times \text{Down Payment Percentage} = \$[/tex]240,000 \times 0.10 = \[tex]$24,000 \] 3. Loan Amount: The loan amount is the purchase price minus the down payment. \[ \text{Loan Amount} = \text{Purchase Price} - \text{Down Payment} = \$[/tex]240,000 - \[tex]$24,000 = \$[/tex]216,000
\]

4. Credit Report Cost:
The cost for the credit report is \[tex]$200. 5. Loan Origination Fee: The loan origination fee percentage is 1%. \[ \text{Loan Origination Fee} = \text{Loan Amount} \times \text{Loan Origination Fee Percentage} = \$[/tex]216,000 \times 0.01 = \[tex]$2,160 \] 6. Attorney and Notary Cost: The cost for the attorney and notary is \$[/tex]500.

7. Documentation Stamp:
The documentation stamp percentage is 0.50%.
[tex]\[ \text{Documentation Stamp Cost} = \text{Loan Amount} \times \text{Documentation Stamp Percentage} = \$216,000 \times 0.005 = \$1,080 \][/tex]

8. Processing Fee:
The processing fee is \[tex]$200. 9. Total Closing Costs: Sum up all the individual closing costs (credit report, loan origination fee, attorney and notary, documentation stamp, and processing fee). \[ \text{Total Closing Costs} = \$[/tex]200 + \[tex]$2,160 + \$[/tex]500 + \[tex]$1,080 + \$[/tex]200 = \[tex]$4,140 \] 10. Total Mortgage: The total mortgage is the loan amount plus the total closing costs. \[ \text{Total Mortgage} = \text{Loan Amount} + \text{Total Closing Costs} = \$[/tex]216,000 + \[tex]$4,140 = \$[/tex]220,140
\]

So, the total mortgage amount for a \[tex]$240,000 purchase, a 10% down payment, and the given closing costs is \$[/tex]220,140.