Beau has an annual adjusted gross income of $89,750. He is applying for a mortgage loan that would have a monthly payment of $1,025. His

semiannual homeowner's insurance payment will be $635, and his yearly property taxes will be $4,785. Beau also has a monthly credit card

payment of $2.000 and a monthly car payment of $250. Using the formula, determine Beau's front-end ratio to the nearest percentage.

monthly housing expenses

front-end ratio = monthly gross income

OA. 19%

OB. 20%

OC 21%

OD. 249

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Answer:

The answer is B.20%

Step-by-step explanation:

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The front-end debt to income ratio of Beau is given by: Option B: 20%

How to calculate the front-end debt to income ratio?

The front-end debt to income ratio for this case is calculated as follows:

[tex]\text{Front-end debt to income ratio} = \dfrac{\text{Housing expenses}}{\text{Gross monthly income}} \times 100[/tex]

Calculating all the housing expense of Beau:

Annual adjusted gross income = $89,750,

Thus, his mothly gross income = $89,750/12 ≈ $7479.167

Semiannual homeowner's insurance payment = $635

Thus, as semiannual = 6 months, thus:

monthly homeowner's insurance payment = $635/6 ≈ $105.83

Yearly property taxes = $4,785

Monthly property taxes = $4,785/12 = $398.75

Monthly credit card payment = $2 (not in housing expense)

Monthly car payment = $250 (not in housing expense)

Monthly mortgage payment = $1,025

Thus, total housing expense (adding only housing expenses) ≈ $(105.83 + 398.75 + 1,025) = $1781.58

Thus, we get:

[tex]\text{Front-end debt to income ratio} = \dfrac{\text{Housing expenses}}{\text{Gross monthly income}} \times 100\\\\\text{Front-end debt to income ratio} \approx \dfrac{1529.58}{7479.167} \times 100 \approx 20 \%[/tex]

Thus, the front-end debt to income ratio of Beau is given by: Option B: 20%

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