Jim has an annual salary of $96,000. His monthly expenses include a $2,500 mortgage payment, a $250 lease payment, $500 in minimum credit card payments, and a $425 payment on his speed boat. He also receives $1,200 in interest from his savings and other accounts each month. Calculate Jim’s DTI (debt-to-income) ratio. A. 30% b. 35% c. 40% d. 45% Please select the best answer from the choices provided A B C D.

Respuesta :

The debt to income ratio of Jim for the particular year is 40%.

How to compute the debt-to-income ratio?

Given,

Annual salary =$96,000

Interest received on saving account (monthly) =$1,200.

The interest received for the entire year will be:

[tex]\begin{aligned}\rm{Total\; Interest \;Income}&=\rm{Monthly\;Income}\times12\\&=\$1,200\times12\\&=\$14,400\end{aligned}[/tex]

Monthly expenses:

mortgage payment =$2,500; lease payment =$250; minimum credit card payment =$500; and speed boat =$425.

The yearly expenses will be:

[tex]\begin{aligned}\text{Total Expenses}&=\text{Sum of all Monthly Expenses}\times12\\&=(\$2,500+\$250+\$500+\$425)\times12\\&=\$3,675\times12\\&=\$44,100\end{aligned}[/tex]

Now, the debt to income ratio is computed as follows:

[tex]\begin{aligned}\text{Debt to Income Ratio}&=\dfrac{\text{Total Expenses}}{\text{Total Interest Income + Annual Salary}}\\&=\dfrac{\$44,100}{\$14,400+\$96,000}\\&=0.399\;\text{or}\; 40\%\end{aligned}[/tex]

Therefore, option c. 40% is correct.

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