(a) The amount of interest included in the February payment (round your answer to the nearest cent). (b) The amount of the monthly mortgage payment that will be used to reduce the principal balance. (c) The new balance after Kevin makes this monthly mortgage payment.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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**Mortgage Payment Calculations for February**

**Scenario:**

On February 1, the home mortgage balance was $80,000 for the home owned by Kevin Perez. The interest rate for the loan is 9 percent.

Assuming that Kevin makes the February monthly mortgage payment of $800, calculate the following:

a) The amount of interest included in the February payment (round your answer to the nearest cent).

b) The amount of the monthly mortgage payment that will be used to reduce the principal balance.

c) The new balance after Kevin makes this monthly mortgage payment.

**Input Fields for Calculations:**

- (a) Interest amount: $ [Text Box]
- (b) Principal reduction: $ [Text Box]
- (c) New balance: $ [Text Box]

**Explanation:**

To calculate the answers:

- **Interest Amount:** 
   - Formula: Interest for the month = Principal balance x Monthly interest rate
   - Monthly interest rate is the annual rate divided by 12. 
   - Here, the annual interest rate is 9% (0.09 when converted to decimal), so the monthly interest rate is 0.09 / 12 = 0.0075.
   - Interest for February = $80,000 x 0.0075 = $600.

- **Principal Reduction:**
   - Amount reducing principal = Monthly payment - Interest amount
   - Principal reduction for February = $800 - $600 = $200.

- **New Balance:**
   - New mortgage balance = Previous balance - Principal reduction
   - New balance after February payment = $80,000 - $200 = $79,800.

Enter these values in the respective text boxes for verification.
Transcribed Image Text:**Mortgage Payment Calculations for February** **Scenario:** On February 1, the home mortgage balance was $80,000 for the home owned by Kevin Perez. The interest rate for the loan is 9 percent. Assuming that Kevin makes the February monthly mortgage payment of $800, calculate the following: a) The amount of interest included in the February payment (round your answer to the nearest cent). b) The amount of the monthly mortgage payment that will be used to reduce the principal balance. c) The new balance after Kevin makes this monthly mortgage payment. **Input Fields for Calculations:** - (a) Interest amount: $ [Text Box] - (b) Principal reduction: $ [Text Box] - (c) New balance: $ [Text Box] **Explanation:** To calculate the answers: - **Interest Amount:** - Formula: Interest for the month = Principal balance x Monthly interest rate - Monthly interest rate is the annual rate divided by 12. - Here, the annual interest rate is 9% (0.09 when converted to decimal), so the monthly interest rate is 0.09 / 12 = 0.0075. - Interest for February = $80,000 x 0.0075 = $600. - **Principal Reduction:** - Amount reducing principal = Monthly payment - Interest amount - Principal reduction for February = $800 - $600 = $200. - **New Balance:** - New mortgage balance = Previous balance - Principal reduction - New balance after February payment = $80,000 - $200 = $79,800. Enter these values in the respective text boxes for verification.
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