In: Finance
Julie Brown is in her late 20s. She is renting an apartment in the fashionable part of town for $1,200 a month. After much thought, she’s seriously considering buying a condominium for $175,000. She intends to put 20 percent down and expects that closing costs will amount to another $5,000; a commercial bank has agreed to lend her money at the fixed rate of 6 percent on a 15-year mortgage. Julie would have to pay an annual condominium owner’s insurance premium of $600 and property taxes of $1,200 a year (she’s now paying renter’s insurance of $550 per year). In addition, she estimates that annual maintenance expenses will be about 0.5 percent of the price of the condo (which includes a $30 monthly fee to the property owners’ association). Julie’s income puts her in the 25 percent tax bracket (she itemizes her deductions on her tax returns), and she earns an after-tax rate of return on her investments of around 4 percent.
BUY OR RENT ANALYSIS IS SHOWN BELOW :
BUY OR RENT ANALYSIS | ||||||
A | Cost of Renting | |||||
1 | Annual Rental cost | 14400 | ||||
2 | Rent Insurance | 550 | ||||
3 | Oppurtunity cost of security deposit | 0 | ||||
Total Cost of Renting | 14950 | |||||
B | Cost of Buying | |||||
Purchase of home | 175000 | |||||
1 | Annual Mortage | 140000@ 6 % | 15 years | |||
(12 monthly payments ) | $1,181.40 | 14177 | ||||
2 | Property Taxes ( 2.5 % of home price) | 1200 | ||||
3 | Home Owners's Insurance (0.5 %) | 600 | ||||
4 | Maintainance (0.5 % of home price) | 875 | ||||
5 | After tax cost of interest on down payment and closing cost | |||||
40,000 4% after tax rate of return | 1600 | |||||
6 | Total cost | 18452 | ||||
Less : | 7 | Principal reduction in loan balance | 5777 | |||
tax rate 25 % | ||||||
8 | Tax savings on interest ( 8400 * 25 %) | 2100 | ||||
9 | Tax savings due to property tax ( 1200*25%) | 300 | ||||
10 | Total Deduction | 8177 | ||||
11 | Annual After Tax cost of ownership | 10275 | ||||
12 | Estimated annual appreciation in value of home | |||||
3.5 % * 175000 | 6125 | |||||
Total cost of buying | 4150 |
working Notes : Monethy mortage payments can be calculated using a calculator, interest is calcualted by 140000 * 6 % = 8400. And to find the principal reduction just deduct the annual interest paid from the annual mortage payments.