If you buy a home with less than 20% down, you will pay an additional monthly fee, PMI (private mortgage insurance), until you reach 20% equity. Keep track of when you reach 20% equity so you can request to have your PMI removed. Ken Buckmiller's home recently appraised at $305,000. His mortgage was for $290,000 at 5% for 30 years with PMI of $279.17 per month. What is his monthly payment plus PMI? His mortgage balance is currently $180,600. Has he reached 20% equity? (Use Table 15.1.) Note: Round your intermediate calculations and final answer to the nearest cent. Monthly payment Has he reached 20% equity?

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
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**Understanding PMI and Home Equity**

When purchasing a home with less than a 20% down payment, an additional monthly fee known as PMI (Private Mortgage Insurance) is required until reaching 20% equity. Monitoring equity is crucial to request PMI removal. 

**Case Study: Ken Buckmiller**

- **Home Appraisal**: $305,000
- **Mortgage Amount**: $290,000 
- **Interest Rate**: 5% for 30 years
- **PMI**: $279.17 per month
- **Current Mortgage Balance**: $180,600

**Questions**:

1. **Monthly Payment (including PMI)?**
2. **Has Ken reached 20% equity?**

**Note**: Use intermediate calculations and round all final answers to the nearest cent. For the calculation of equity, refer to Table 15.1, which provides additional details.
Transcribed Image Text:**Understanding PMI and Home Equity** When purchasing a home with less than a 20% down payment, an additional monthly fee known as PMI (Private Mortgage Insurance) is required until reaching 20% equity. Monitoring equity is crucial to request PMI removal. **Case Study: Ken Buckmiller** - **Home Appraisal**: $305,000 - **Mortgage Amount**: $290,000 - **Interest Rate**: 5% for 30 years - **PMI**: $279.17 per month - **Current Mortgage Balance**: $180,600 **Questions**: 1. **Monthly Payment (including PMI)?** 2. **Has Ken reached 20% equity?** **Note**: Use intermediate calculations and round all final answers to the nearest cent. For the calculation of equity, refer to Table 15.1, which provides additional details.
### Amortization Table (Mortgage Principal and Interest per $1,000)

#### Overview
This amortization table provides the monthly mortgage payment amount per $1,000 borrowed for various interest rates and loan terms. The table includes calculations for interest-only payments as well as full amortization over 10, 15, 20, 25, 30, and 40 years.

#### Table Columns
- **Rate**: The annual interest rate expressed as a percentage.
- **Interest Only**: The monthly interest payment when paying interest only.
- **10 Year, 15 Year, 20 Year, 25 Year, 30 Year, 40 Year**: The monthly payment required to fully amortize (pay off) the loan in the respective term.

#### Details

- **Interest Rates** range from 2.000% to 6.750%.
- **Interest Only Payments** decline as the interest rate decreases, starting from 0.56250 per month for a 6.750% rate to 0.16667 for a 2.000% rate.
- **Amortization Payments**: 
  - **10 Year Term**: Monthly payments range from 9.20135 at a 2.000% rate to 11.48241 at a 6.750% rate.
  - **15 Year Term**: Payments range from 6.43509 to 8.84909.
  - **20 Year Term**: Payments range from 5.05883 to 7.60364.
  - **25 Year Term**: Payments range from 4.23854 to 6.90912.
  - **30 Year Term**: Payments range from 3.69619 to 6.48598.
  - **40 Year Term**: Payments range from 3.02826 to 6.03357.

This table is useful for individuals looking to understand how their monthly payments will be affected by different interest rates and loan terms, allowing for a better-informed decision when selecting a mortgage plan.
Transcribed Image Text:### Amortization Table (Mortgage Principal and Interest per $1,000) #### Overview This amortization table provides the monthly mortgage payment amount per $1,000 borrowed for various interest rates and loan terms. The table includes calculations for interest-only payments as well as full amortization over 10, 15, 20, 25, 30, and 40 years. #### Table Columns - **Rate**: The annual interest rate expressed as a percentage. - **Interest Only**: The monthly interest payment when paying interest only. - **10 Year, 15 Year, 20 Year, 25 Year, 30 Year, 40 Year**: The monthly payment required to fully amortize (pay off) the loan in the respective term. #### Details - **Interest Rates** range from 2.000% to 6.750%. - **Interest Only Payments** decline as the interest rate decreases, starting from 0.56250 per month for a 6.750% rate to 0.16667 for a 2.000% rate. - **Amortization Payments**: - **10 Year Term**: Monthly payments range from 9.20135 at a 2.000% rate to 11.48241 at a 6.750% rate. - **15 Year Term**: Payments range from 6.43509 to 8.84909. - **20 Year Term**: Payments range from 5.05883 to 7.60364. - **25 Year Term**: Payments range from 4.23854 to 6.90912. - **30 Year Term**: Payments range from 3.69619 to 6.48598. - **40 Year Term**: Payments range from 3.02826 to 6.03357. This table is useful for individuals looking to understand how their monthly payments will be affected by different interest rates and loan terms, allowing for a better-informed decision when selecting a mortgage plan.
Expert Solution
Step 1:Answer

1- Monthly payment plus PMI= $1836.47

2- Yes, he has reached 20% equity.

Please see the explanation section for the detailed answers.

 

1)Monthly payment for mortgage

= $290, 000 x5.37÷1000 = $ 1557.30 Monthly payment plus PMI $ 1557.30

+ $ 279.17 = $ 1836.47 * By using table 15.1

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