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In: Finance

Michelle Duncan wants to know what price home she can afford. Her annual gross income is...

Michelle Duncan wants to know what price home she can afford. Her annual gross income is $43,800. She owes $660 per month on other debts and expects her property taxes and homeowners insurance to cost $250 per month. She knows she can get an 9.00%, 30-year mortgage so her mortgage payment factor is 8.05. She expects to make a 30% down payment. What is Michelle's affordable home purchase price

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Expert Solution

Annual Gross Income = $ 43,800

So , the monthly Gross income = $ 43,800 / 12 = $ 3650

Now, for a minimum down- payment of 3.5%, according to the Principal, interest , taxes and insurance (PITI)Guideline , a mandatory expense of 38% of monthly income to borrowers is used

So, Expense = $ 3650 * 38% = $ 1387

Additional monthly debt = $ 660

Cost of property taxes and homeowners insurance = $ 250

The balance left with Michelle= $ 1387 - ( 660 + 250) = $ 477

Mortgage payment factor = 8.05

So, the monthly mortgage payment ( mortgage payment will be calculated per $1000) = (Balance left / Mortgage payment factor)* 1000

=$ ( 477/ 8.05)*1000 = $ 59254.66

Affordable home purchase price = monthly mortgage payment / (1- percentage of down payment)

= $ 59254.66 / (1-0.3)

= $ 59254.66 / 0.7

= $ 84649.51 (Answer)


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