Mark earns $80,000 annually and has monthly expenses of $3,200. Using a conservative debt-to-income ratio of 6 times annual income, what is the maximum mortgage amount he could potentially qualify for?
Correct Answer
C) $480,000
Using a debt-to-income ratio of 6 times annual income: $80,000 × 6 = $480,000. This is a conservative estimate, as banks also consider other factors like expenses, existing debts, and interest rate serviceability when determining actual lending capacity.
Why This Is the Correct Answer
Option C is correct because it applies the given debt-to-income ratio calculation accurately: $80,000 annual income × 6 = $480,000. This straightforward multiplication demonstrates the conservative lending approach where the maximum mortgage amount equals six times the borrower's gross annual income. While banks consider additional factors in practice, this ratio provides a useful benchmark for initial borrowing capacity assessment.
Why the Other Options Are Wrong
Option A: $420,000
$420,000 represents only 5.25 times annual income ($80,000 × 5.25), which is below the specified 6 times ratio given in the question. This would be an overly conservative estimate that doesn't utilize the full borrowing capacity indicated by the stated debt-to-income multiple.
Option B: $450,000
$450,000 equals 5.625 times annual income ($80,000 × 5.625), which falls short of the specified 6 times ratio. This calculation error would underestimate the potential borrowing capacity based on the given parameters.
Option D: $520,000
$520,000 represents 6.5 times annual income ($80,000 × 6.5), which exceeds the conservative 6 times ratio specified in the question. This would overestimate borrowing capacity beyond the stated lending criteria and could mislead clients about realistic mortgage amounts.
Deep Analysis of This Finance Question
This question tests understanding of debt-to-income ratios, a fundamental concept in mortgage lending assessment. The debt-to-income ratio is a key metric banks use to evaluate borrowing capacity, typically expressed as a multiple of annual gross income. In New Zealand's lending environment, conservative ratios of 5-7 times annual income are common, though actual lending decisions involve comprehensive affordability assessments including living expenses, existing debts, interest rate stress testing, and deposit requirements. This calculation provides an initial estimate of potential borrowing capacity, but real-world lending involves more complex serviceability calculations under the Credit Contracts and Consumer Finance Act 2003 and responsible lending obligations. Understanding these ratios is crucial for real estate agents when advising clients on realistic price ranges and helping them understand their financial position before property searches begin.
Background Knowledge for Finance
Debt-to-income ratios are fundamental tools in mortgage lending, expressing maximum borrowing capacity as a multiple of gross annual income. New Zealand banks typically use ratios between 5-7 times income, with 6 times being a common conservative benchmark. The Credit Contracts and Consumer Finance Act 2003 requires lenders to make reasonable inquiries about borrowers' ability to repay loans. Real estate agents must understand these concepts to provide realistic guidance to clients about affordable property price ranges and to work effectively with mortgage brokers and banks during transaction processes.
Memory Technique
Remember 'SIX-PACK' - when you see a 6 times income ratio, think of a six-pack of drinks. Each 'drink' represents one year's income, so Mark's six-pack equals 6 × $80,000 = $480,000. The visual of six identical items helps remember the simple multiplication.
When you see debt-to-income ratio questions, visualize the 'pack' of income years. Count the multiplier (6 in this case) and multiply by the annual income. The 'six-pack' specifically helps remember that 6 times $80,000 equals $480,000.
Exam Tip for Finance
For debt-to-income calculations, simply multiply annual income by the given ratio. Don't overthink - ignore monthly expenses unless specifically asked to factor them into serviceability calculations.
Real World Application in Finance
Sarah, a real estate agent, meets with first-home buyers Tom and Lisa who earn $80,000 combined annually. Before showing properties, she explains they could potentially qualify for around $480,000 mortgage using a conservative 6 times income ratio. This helps them focus on properties under $600,000 (assuming a 20% deposit), avoiding disappointment from viewing unaffordable homes. Sarah then refers them to a mortgage broker for detailed pre-approval, knowing the actual amount may vary based on expenses, credit history, and current interest rates.
Common Mistakes to Avoid on Finance Questions
- •Confusing gross and net income in calculations
- •Including monthly expenses in the basic ratio calculation
- •Using the wrong multiplier or making arithmetic errors
Related Topics & Key Terms
Key Terms:
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