Sarah earns $80,000 annually and has saved $50,000 for a house deposit. She wants to buy a property for $400,000. What LVR would this represent?
Correct Answer
A) 87.5%
LVR is calculated as loan amount divided by property value. Sarah needs to borrow $350,000 ($400,000 - $50,000 deposit). $350,000 ÷ $400,000 = 0.875 or 87.5%. This exceeds the standard 80% LVR restriction for owner-occupiers.
Why This Is the Correct Answer
Option A (87.5%) is correct because LVR is calculated as loan amount divided by property value, then converted to a percentage. Sarah needs to borrow $350,000 ($400,000 property price minus $50,000 deposit). Therefore: $350,000 ÷ $400,000 = 0.875 = 87.5%. This calculation follows the standard LVR formula used by all New Zealand lenders and aligns with Reserve Bank of New Zealand guidelines for assessing lending risk.
Why the Other Options Are Wrong
Option B: 85.0%
85.0% is incorrect because it doesn't reflect the actual mathematical calculation. This figure might result from incorrectly calculating the loan amount or property value, possibly confusing deposit percentage with LVR calculation methods.
Option C: 80.0%
80.0% is incorrect as it represents the common LVR threshold limit rather than Sarah's actual LVR. This is the maximum LVR typically allowed for owner-occupiers, not the calculated ratio for this specific scenario.
Option D: 12.5%
12.5% is incorrect because it represents the deposit percentage (deposit ÷ property value), not the LVR. This shows confusion between deposit ratio and loan-to-value ratio calculations.
Deep Analysis of This Finance Question
This question tests understanding of Loan-to-Value Ratio (LVR), a critical concept in New Zealand property finance. LVR represents the percentage of a property's value that is being borrowed, calculated by dividing the loan amount by the property value. In this scenario, Sarah's $50,000 deposit against a $400,000 property means she needs to borrow $350,000. The LVR calculation ($350,000 ÷ $400,000 = 87.5%) demonstrates she exceeds the Reserve Bank of New Zealand's standard 80% LVR restriction for owner-occupiers. This connects to broader prudential lending requirements designed to maintain financial stability and reduce systemic risk in the housing market. Real estate agents must understand LVR calculations to properly advise clients on financing options and potential lending restrictions.
Background Knowledge for Finance
LVR (Loan-to-Value Ratio) measures lending risk by comparing the loan amount to the property's value. In New Zealand, the Reserve Bank sets LVR restrictions to maintain financial stability. Standard limits are 80% for owner-occupiers and 70% for investors, though some exceptions exist. The calculation is: (Loan Amount ÷ Property Value) × 100. Higher LVRs indicate greater lending risk. Real estate agents must understand these calculations to advise clients on deposit requirements and potential lending challenges under current RBNZ restrictions.
Memory Technique
Think of the property value as a whole pizza. The loan is the slice you need to 'borrow' from the bank, while your deposit is the slice you already own. LVR measures how big the borrowed slice is compared to the whole pizza. If you own a small slice (deposit) and need to borrow a big slice (loan), your LVR percentage will be high.
When you see LVR questions, visualize the pizza: identify the whole pizza (property value), subtract your owned slice (deposit) to find the borrowed slice (loan), then calculate what percentage the borrowed slice represents of the whole pizza.
Exam Tip for Finance
Always identify three numbers: property value, deposit amount, and loan amount (property value minus deposit). LVR equals loan amount divided by property value, converted to percentage. Double-check your calculation matches one of the given options.
Real World Application in Finance
A first-home buyer approaches you wanting to purchase a $500,000 property with a $75,000 deposit. You calculate their LVR as 85% ($425,000 loan ÷ $500,000 = 85%), which exceeds the 80% threshold. You advise them they'll need either a larger deposit, a cheaper property, or to seek lending through the small percentage of high-LVR lending banks are permitted under RBNZ speed limits. This knowledge helps you provide realistic expectations about their financing options.
Common Mistakes to Avoid on Finance Questions
- •Confusing deposit percentage with LVR percentage
- •Using deposit amount instead of loan amount in the calculation
- •Forgetting to convert the decimal result to a percentage
Related Topics & Key Terms
Key Terms:
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Sarah and Tom are first home buyers with a combined annual income of $140,000. They have found a house for $750,000 and have a 15% deposit. What additional challenge might they face under current lending restrictions?
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Sarah and Tom are first home buyers with a combined annual income of $140,000. They have found a house for $750,000 and have a 15% deposit. What additional challenge might they face under current lending restrictions?
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