Verified Answer :

  • Identify the monthly income as \(\$3,200\).
  • Apply the housing component of the "28/36" rule, which is 28% of the gross income.
  • Calculate the housing debt: \(0.28 \times 3200 = 896\).
  • The maximum allowable housing-related debt is \(\boxed{\$896}\).

Explanation

  1. Analyzing the Financial Benchmark Rule

The problem asks us to determine the maximum allowable recurring debt for an individual with a monthly income of \(\$3,200\), using the standard financial "28/36" rule.

The "28/36" rule is a financial benchmark used to ensure individuals do not overextend themselves financially:

  1. The "28" represents the maximum percentage of gross monthly income that should be allocated to housing-related debt (like mortgage payments, property taxes, and insurance).
  2. The "36" represents the maximum percentage of gross monthly income that should be allocated to total debt obligations, which includes housing-related debt plus other recurring debts (such as car loans, student loans, or credit card debt).

Given the individual's monthly income of \(\$3,200\), we need to calculate the maximum allowable amount for housing debt, which is identified by the 28% threshold in the rule.

  1. Calculating the Maximum Allowable Housing Debt

To find the maximum allowable housing debt, we calculate 28% of the gross monthly income of \(\$3,200\).

The formula is:
\[\text{Maximum Housing Debt} = 0.28 \times \text{Gross Monthly Income}\]

Substituting the given values:
\[\text{Maximum Housing Debt} = 0.28 \times 3200 = 896\]

Thus, the maximum amount for housing-related expenses according to this rule is \(\$896\). Comparing this result with the provided options:

A\(\$256\)
B\(\$512\)
C\(\$640\)
D\(\$896\)

The calculated value aligns with option (d).

  1. Final Conclusion

The calculation shows that the maximum amount the individual should allocate to housing costs under the 28% housing ratio is \(\$896\). Therefore, the best answer provided in the list is \(\$896\).

The final answer is \(\boxed{\$896}\).

Examples

When applying for a mortgage, lenders often use the "28/36" rule to assess your ability to repay a loan. For example, if you earn a gross monthly income of \(\$5,000\), the rule suggests your housing payments should ideally not exceed \(0.28 \times 5000 = \$1,400\), and your total debt payments should not exceed \(0.36 \times 5000 = \$1,800\). This helps you manage your budget and ensures your financial stability when taking on long-term debt commitments.