Math Problem Statement

Based on the following data, would you recommend buying or renting?

Rental Costs Annual rent $ 8,180 Insurance $ 225 Security deposit $ 1,050 Buying Costs Annual mortgage payments $ 10,500 ($9,975 is interest) Property taxes $ 2,100 Down payment and closing costs $ 5,200 Growth in equity $ 525 Insurance and maintenance $ 1,850 Estimated annual appreciation $ 2,500 Assume an after-tax savings interest rate of 6 percent and a tax rate of 28 percent. Assume this individual has other tax deductions that exceed the standard deduction amount.

Calculate total rental cost and total buying cost.

Note: Round your intermediate calculations and final answers to the nearest whole dollar.

Would you recommend buying or renting?

Solution

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Math Problem Analysis

Mathematical Concepts

Cost Comparison
Interest Rate Calculations
Tax Deduction Calculations

Formulas

Total Rental Cost = Annual Rent + Insurance
Total Buying Cost = (Mortgage Payments + Property Taxes + Insurance and Maintenance) - (Tax Savings on Interest + Growth in Equity + Appreciation)
Tax Savings on Interest = Interest × Tax Rate

Theorems

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Suitable Grade Level

College/University Level