Question

In: Finance

Rental Costs Buying Costs Annual rent $ 8,310       Annual mortgage payments $ 10,550 ($9,628...

Rental Costs Buying Costs
Annual rent $ 8,310       Annual mortgage payments $ 10,550 ($9,628 is interest)
Insurance 218 Property taxes 2,000
Security deposit 1,640 Insurance/maintenance 1,980
Down payment/closing costs 4,500
Growth in equity 922
Estimated annual appreciation 2,000

Assume an after-tax savings interest rate of 6 percent and a tax rate of 28 percent.

Solutions

Expert Solution

Step 1: Calculate Total Rental Costs

The value of total rental costs is arrived as below:

Annual Rent 8,310.00
Insurance 218.00
Interest Lost on Security Deposit (1,640*6%) 98.40
Total Rental Costs $8,626.40

_______

Step 2: Calculate Total Buying Costs

The value of total buying costs is determined as below:

Annual Mortgage Payments 10,550.00
Taxes, Insurance and Maintenance (2,000 + 1,980) 3,980.00
Interest Lost on Down Payment/Closing Costs (4,500*6%) 270.00
Growth in Equity -922.00
Estimated Annual Appreciation -2,000.00
Tax Savings on Mortgage Interest (9,628*28%) -2,695.84
Tax Savings on Property Taxes (2,000*28%) -560.00
Total Buying Costs $8,622.16

_______

Conclusion:

As the total cost of buying ($8,622.16 or $8,622) is less than the total cost of renting ($8,626.40 or $8,626), the property should be bought.


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