Math Problem Statement
Advice from most financial advisers states to spend no more than 28% of one's gross monthly income for one's mortgage payment, and to spend no more than 36% of one's gross monthly income for one's total monthly debt. Suppose a family has a gross annual income of
$43 comma 200
.
a. What is the maximum amount the family should spend each month on a mortgage payment?
b. What is the maximum amount the family should spend each month for total credit obligations?
c. If the family's monthly mortgage payment is
60
%
of the maximum they can afford, what is the maximum amount they should spend each month for all other debt?
Solution
Let's address each part step-by-step.
Part (a): Maximum Monthly Mortgage Payment
The financial advice is to spend no more than 28% of one's gross monthly income on a mortgage payment. First, we need to find the gross monthly income from the given annual income of $43,200:
Now, calculate 28% of the monthly income:
So, the maximum monthly mortgage payment is $1,008.
Part (b): Maximum Monthly Total Credit Obligations
Next, we find the maximum amount the family should spend each month for total credit obligations, which includes the mortgage payment and any other debt. The guideline is 36% of the gross monthly income:
Thus, the maximum amount they should spend on total credit obligations is $1,296.
Part (c): Maximum Amount for Other Debt
If the family's monthly mortgage payment is 60% of the maximum they can afford, we find 60% of the maximum mortgage payment calculated in part (a):
Now, subtract the actual mortgage payment from the maximum amount they should spend on total debt (from part (b)) to find the remaining amount they can spend on other debt:
Thus, the maximum amount they should spend each month for all other debt is $691.20.
Summary:
- (a) Maximum monthly mortgage payment: $1,008
- (b) Maximum monthly total credit obligations: $1,296
- (c) Maximum amount for all other debt: $691.20
Would you like more details on any of these calculations, or have any questions?
Here are 5 related questions for further exploration:
- How would the results change if the annual income increased to $50,000?
- What percentage should a family allocate if they want to minimize their debt burden?
- If the family has a car loan and credit card debt totaling $500, how much more debt can they afford?
- How does the maximum mortgage payment change if only 25% of monthly income is allocated to it?
- What is the impact of reducing the mortgage payment to 50% of the maximum?
Tip: It's always a good idea to keep total debt-to-income ratio under 36%, as higher ratios can make it difficult to obtain new credit or loans.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Percentage
Basic Arithmetic
Formulas
Gross Monthly Income = Annual Income / 12
Maximum Mortgage Payment = 0.28 × Gross Monthly Income
Maximum Total Debt = 0.36 × Gross Monthly Income
Actual Mortgage Payment = 0.60 × Maximum Mortgage Payment
Remaining Debt Capacity = Maximum Total Debt - Actual Mortgage Payment
Theorems
-
Suitable Grade Level
Grades 9-12
Related Recommendation
Calculate Maximum 30-Year Fixed-Rate Mortgage with 4.01% Interest
Maximum 30-Year Fixed-Rate Mortgage Calculation with 4.58% Interest Rate
Calculate Maximum 30-Year Fixed-Rate Mortgage for a Couple with Debt and Income Details
Calculating Maximum Mortgage and Debt Payments for a Family with $46,800 Annual Income
Calculate Maximum 30-Year Fixed-Rate Mortgage at 6.02% Interest