
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:The Bainter family is moving to a new town and needs a place to live. The Bainters are considering renting or purchasing a home and have found a suitable option for each option.
• The home for sale is listed at $150,000.00. They have $30,000.00 for a down payment and are qualified for a fixed rate 30-year mortgage with an annual interest rate of 4.2%.
• The rental home is currently $900.00 per month, with rent expected to increase approximately $75.00 every 4 years.
1. Calculate the monthly mortgage payment amount using the formula: M = P_*(¹+r)"
P₂
(1+r)=1*
2. For each option, calculate the total costs after 1 year, 5 years, 10 years and 15 years. Include additional costs of home ownership such as taxes and home insurance.
3. Consider advantages and disadvantages of renting versus purchasing a home.
4. Determine which option is better over each interval: 1 year, 5 years, 10 years and 15 years. Defend conclusions with evidence.
Here is the rubric for your project
Factors to Consider
Each person has their own unique circumstances when choosing whether to rent or purchase a home. These are several factors to consider:
1. Length of time: The longer a person plans on living in an area, the more they can spread out the additional costs of purchasing a home.
2. Property value: Note the median housing price declined in the late 2000s due to a housing recession.
3. Additional costs: When purchasing a home, closing costs, interest on a mortgage, down payment, higher insurance, and property taxes can add up quickly.
4. Tax savings: Changes to tax laws may result in an owner not being able to deduct interest on income taxes.
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Suppose the Bainters purchase the $150,000.00 home with a 20%
down payment, a 30-year mortgage, and an interest rate of 4.2%. Annual property taxes are $1920.00. Home
insurance is $750.00 per year, which is to be placed into an escrow account.
What is the Bainters' monthly cost if they purchase the home?
Enter your answer as a dollar amount, such as: $206.75.
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