The total mortgage for a $240,000 purchase with a 5% down payment and additional closing costs provided equals $232,920. So, the correct option is C.
To calculate the total mortgage, you need to consider the purchase price, down payment, and closing costs.
Given:
- Purchase price: $240,000
- Down payment: 5% of $240,000
1. Down Payment:
![\[ \text{Down Payment} = 5\% * \text{Purchase Price} \]](https://img.qammunity.org/2024/formulas/mathematics/college/b7v0v3dl2r4h3z3ijgc5gq57oqdvr6pze7.png)
![\[ \text{Down Payment} = 0.05 * 240,000 \]](https://img.qammunity.org/2024/formulas/mathematics/college/d49ruyoq5n6412xmnb9fda70j6dloxnopj.png)
![\[ \text{Down Payment} = 12,000 \]](https://img.qammunity.org/2024/formulas/mathematics/college/8dg1u8w0y344ihi7wd7mpo5snhn6x7poou.png)
2. Closing Costs:
- Loan origination fee: 1% of $240,000
- Documentation stamp: 0.50% of $240,000
- Credit report: $400.00
- Attorney and notary: $500.00
- Processing fee: $600.00
![\[ \text{Loan Origination Fee} = 1\% * \text{Purchase Price} \]](https://img.qammunity.org/2024/formulas/mathematics/college/dg9h4lhta0lhalls5z4y7qmtt7ghvte96v.png)
![\[ \text{Loan Origination Fee} = 0.01 * 240,000 \]](https://img.qammunity.org/2024/formulas/mathematics/college/amkqasfkpb4qd390wttms563orag0mpv8j.png)
![\[ \text{Loan Origination Fee} = 2,400 \]](https://img.qammunity.org/2024/formulas/mathematics/college/9ce48jq3lybjv9gwdr0hl0biqa59dxy1ax.png)
![\[ \text{Documentation Stamp} = 0.50\% * \text{Purchase Price} \]](https://img.qammunity.org/2024/formulas/mathematics/college/dca4r56rlpsnvk98jmxochm8vawialxk0t.png)
![\[ \text{Documentation Stamp} = 0.005 * 240,000 \]](https://img.qammunity.org/2024/formulas/mathematics/college/5m79oya788231oprxp3u1bd7c4qok6n071.png)
![\[ \text{Documentation Stamp} = 1,200 \]](https://img.qammunity.org/2024/formulas/mathematics/college/keuhmimklhendr46x3kxkb02ijp8o4niv1.png)
The total closing costs are:
![\[ \text{Total Closing Costs} = \text{Loan Origination Fee} + \text{Documentation Stamp} + \text{Credit Report} + \text{Attorney and Notary} + \text{Processing Fee} \]](https://img.qammunity.org/2024/formulas/mathematics/college/whog1bxo00o3ycrxmkc8inp72yw0sy0tqb.png)
![\[ \text{Total Closing Costs} = 2,400 + 1,200 + 400 + 500 + 600 \]](https://img.qammunity.org/2024/formulas/mathematics/college/ptp18fkc7nwylk6woed94jeeibmh6swkwg.png)
![\[ \text{Total Closing Costs} = 4,100 \]](https://img.qammunity.org/2024/formulas/mathematics/college/f8d9hg3469qdqwjli29bq65d4s9bj1fbbb.png)
3. Total Mortgage:
The total mortgage is the sum of the purchase price, closing costs, and the down payment.
![\[ \text{Total Mortgage} = \text{Purchase Price} - \text{Down Payment} + \text{Total Closing Costs} \]](https://img.qammunity.org/2024/formulas/mathematics/college/4iauzkvss7onuj29h35lx451i3ikkeusxg.png)
![\[ \text{Total Mortgage} = 240,000 - 12,000 + 4,100 \]](https://img.qammunity.org/2024/formulas/mathematics/college/di5s5pk3tinzczy5tsksdo649givy114b3.png)
![\[ \text{Total Mortgage} = 232,100 \]](https://img.qammunity.org/2024/formulas/mathematics/college/44uj9hpywwcegp8h0aiuopu3lvw0ebsx8b.png)
So, the correct answer is C. $232,920.