Answer:
$143137.25
Explanation:
Given that:
The annual gross income = $54000
The monthly gross income = $54000/12
= $4500
Using the PITI guideline, a mandatory expense of 38% of monthly income is applied.
So;
Expense = $4500 × 38% = $1710
Additional Monthly debt = $810
Cost of Prop. Taxes and H.O insurance = $170
Monthly Balance left = $1710 - $(810 + 170) = $730
Mortgage payment factor = 6.00
Monthly mortgage payment = [tex]\dfrac{monthly \ balance \ left }{ Mortgage \ payment \ factor }\times 1000[/tex]
[tex]=\$ (\dfrac{730}{6.00 })\times 1000[/tex]
= $121666.67
Affordable home purchase price = [tex]\dfrac{monthly \ mortgage \ payment }{1 - percentage \ of \ down \ payment}[/tex]
[tex]= \dfrac{ \$121666.67}{1- 0.15}[/tex]
[tex]= \dfrac{\$121666.67}{0.85}[/tex]
= $143137.25
