Given: Sales Price: $250,000 Marginal Tax Rate 30% Property Taxes (monthly) 200
ID: 2656204 • Letter: G
Question
Given:
Sales Price: $250,000
Marginal Tax Rate 30%
Property Taxes (monthly) 200
Insurance (monthly) 50
Cost to Rent an Apt. 1,000
Down Payment 20%
Mortgage Interest Rate 7.5%
Amortization Period 30 yrs.
What are the financial implications of renting or buying a home given the above data? Calculate on a monthly basis. (Hint: What is the after tax cost of buying the home compared to renting the apt?)
If possible, please use a financial calculator and show me how to solve as I need to learn this concept for this class.
Explanation / Answer
Down Payment = 0.2*250,000 = $ 50,000
Mortgage = $200,000
No. of Periods = 12*30 = 360
Mortgage payment monthly = $1398.43 { use Excel function PMT(7.5%/12 , 360, 200000)}
Total Mortgage Payments = 1398.43*360 = 503434.45
Property Tax for 360 periods = 72000
Insurance = 50 *360 = 18000
Interest Paid = Total Mortgage paid - Actual Mortgage = 503434.45 - 200000 = 303434.45
Tax Savings from Interest = 0.35*303434.45 = 91030.335
Tax Savings from Property Taxes = 0.35*72000 =21600
Total Net Costs for 360 periods = 50000 + 503434.45 +72000+18000-91030.335-21600 = 530804.1
Average Monthly costs = 530804.1/360 = $1474.46
Average Monthly rent = $1000
It seems that Renting is more Apt than buying a home but here I have not considered anything about value of house (i.e. it can be sold after 30 years).
Lets assume that the value of house after 30 years is same and it can be sold at = $250,000
Then Net Costs = 530804.1 - 250000 = 280804.1
Average monthly costs = $780.01
In this case buying a house will be more beneficial than renting
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.