A property has an appraised value of $500,000 and an outstanding loan balance of $375,000. What is the loan-to-value ratio?
Correct Answer
D) 75%
Why this is correct: The loan-to-value (LTV) ratio is a key underwriting metric calculated as the loan amount divided by the property value. Here, $375,000 ÷ $500,000 = 0.75, or 75%. This indicates the loan represents 75% of the property's appraised value. Why the other choices are wrong: "125%" would imply the loan exceeds the property value, which is incorrect. "25%" is the equity portion (100% - 75%), not the LTV. "133%" is the inverse of the correct ratio ($500,000 ÷ $375,000). Exam tip: LTV is always Loan ÷ Value. Remember which number goes on top to avoid common inversion errors.
Why This Is the Correct Answer
Option A (75%) is correct because it properly applies the LTV formula: Loan Amount ÷ Property Value = LTV Ratio. Using the given values: $375,000 ÷ $500,000 = 0.75 = 75%. This means the borrower has financed 75% of the property's value through debt, leaving 25% as equity. The calculation is straightforward division followed by conversion to a percentage.
Why the Other Options Are Wrong
Option A: 125%
Option A (125%) is incorrect because it appears to reverse the calculation or use an improper formula. This percentage would indicate the loan amount exceeds the property value, which would result from dividing property value by loan amount and then making an error, or from completely misunderstanding the LTV concept.
Option B: 25%
Option B (25%) is incorrect because it calculates the equity percentage rather than the loan-to-value ratio. This represents the borrower's equity position (the portion of value not financed), which would be calculated as (Property Value - Loan Amount) ÷ Property Value, or simply 100% - LTV%.
Option C: 133%
Option C (133%) is incorrect and represents a mathematical error or formula reversal. This impossibly high percentage suggests dividing the property value by the loan amount ($500,000 ÷ $375,000 = 1.33), which is the inverse of the correct LTV calculation.
LOVE Formula
LOVE = Loan Over Value Equals LTV. Remember 'LOVE' to recall that you put the Loan amount OVER (divided by) the Value to get LTV.
How to use: When you see an LTV question, think 'LOVE' and immediately set up the fraction with Loan amount on top and property Value on bottom, then convert to percentage.
Exam Tip
Always double-check that your LTV percentage makes logical sense - it should typically be between 50-100% for most scenarios, and never exceed 100% unless dealing with an underwater mortgage situation.
Common Mistakes to Avoid
- -Reversing the formula by dividing property value by loan amount
- -Calculating equity percentage (25%) instead of LTV ratio
- -Forgetting to convert the decimal result to a percentage
Concept Deep Dive
Analysis
The Loan-to-Value (LTV) ratio is a fundamental financial metric used in real estate to assess lending risk and borrower equity position. It represents the percentage of a property's appraised value that is financed through debt, calculated by dividing the outstanding loan amount by the current appraised value of the property. LTV ratios are critical for lenders in determining loan approval, interest rates, and whether private mortgage insurance (PMI) is required. A lower LTV indicates more borrower equity and less lender risk, while a higher LTV suggests greater leverage and potential risk.
Background Knowledge
LTV ratios are expressed as percentages and typically range from 80-97% for conventional mortgages, with most lenders requiring PMI when LTV exceeds 80%. The ratio is recalculated during refinancing and can change over time due to loan principal reduction and property value fluctuations.
Real-World Application
Appraisers frequently calculate LTV ratios when providing valuations for refinancing, where lenders need to verify that the new loan amount doesn't exceed their maximum LTV requirements, often 80% for conventional loans or 97% for FHA loans.
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