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pentagon [3]
3 years ago
10

1. A family with a gross monthly income of $8,500 is considering a $250,000, 30 year, 6.25% fix rate conventional mortgage to bu

y a $300,000 house. Move-in costs include the down payment, a $1,600 loan origination fee, 1 discount point, $3,500 in third party fees, 14 months of mortgage insurance premium, 2 months of property taxes, and 14 months of hazard insurance. The family estimates annual real estate taxes as 1.2%, annual hazard insurance as 0.4%, and annual maintenance as 1% of the purchase price. The annual private mortgage insurance premium is estimated as 1% of the loan amount. The household has monthly installment payments of $500 and is in the 35% marginal tax bracket. The lender requires that the housing expense ratio be no higher than 28%, and the monthly payment ratio no higher than 36%.
a) Can this family qualify for the loan?
b) What is the total amount of the move-in costs?
2. A family with a gross monthly income of $11,000 is considering a $357,000, 30 year, 7% mortgage to buy a house priced at $375,800. The annual private mortgage insurance premium is estimated as 0.78% of the loan amount. Move-in costs include the down payment, a 1% loan origination fee, 1 discount point, $5,400 in third party fees, 14 months of mortgage insurance premium, 6 months of property taxes, and 14 months of hazard insurance. The family estimates annual real estate taxes as 1.25%, annual hazard insurance as 0.4%, and annual maintenance as 1% of the purchase price. The household has a monthly installment payment of $1,000 and is in the 28% marginal tax bracket. Maximum housing expense ratio is 28%, while maximum total monthly payment ratio is 36%.
a) Can this family qualify for the loan?
b) What is the total amount of the move-in costs?
Business
1 answer:
Ahat [919]3 years ago
4 0
I need this answer to. B
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The formula for calculating future value of annuities is: yearly amount x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r  = interest rate
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Annuity factor for the first ten years = [(1.09^10) - 1] / 0.09 = 15.19293

15.19293 x $15,000 = $227,893.95

Annuity factor for the last 5 years = [(1.09^5) - 1] / 0.09 = 5.9847

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Future value of the lump sum of  $227,893.95 in 10 years =  $227,893.95 x (1.09^10) = 539,507.86

Future value of the lump sum of $119,694.21 in 5 years = $119,694.21 x (1.09^5) = $184,164.38

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Answer:

$130,000

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Cost per unit = $3 + $5 + $5

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