A loan of $350,000 is secured by a property appraised at $500,000. What is the loan-to-value ratio?
Correct Answer
A) 70%
Loan-to-value ratio = Loan amount ÷ Appraised value: $350,000 ÷ $500,000 = 0.70 or 70%.
Why This Is the Correct Answer
Option A (70%) is correct because the loan-to-value ratio is calculated by dividing the loan amount by the appraised value and converting to a percentage. Using the formula: $350,000 ÷ $500,000 = 0.70, which equals 70% when expressed as a percentage. This means the loan represents 70% of the property's appraised value, with the borrower providing 30% as a down payment or equity. This is a standard way to express LTV ratios in the real estate and lending industry.
Why the Other Options Are Wrong
Option B: 30%
Option B (30%) represents the borrower's equity or down payment percentage, not the loan-to-value ratio. This would be calculated as ($500,000 - $350,000) ÷ $500,000 = 30%, which shows what portion of the property value the borrower owns outright.
Option C: 142.9%
Option C (142.9%) would result from incorrectly dividing the appraised value by the loan amount ($500,000 ÷ $350,000), which reverses the proper LTV formula and creates a meaningless ratio greater than 100%.
Option D: 1.43
Option D (1.43) is the decimal form of the incorrect calculation used in option C, representing the same mathematical error but without converting to a percentage format.
LOVE Formula
LOVE = Loan Over Value Equals percentage. Remember: Loan goes on top (numerator), Value goes on bottom (denominator), and the result should be less than 100% for typical financing scenarios.
How to use: When you see an LTV question, immediately think 'LOVE' and set up the fraction with Loan amount Over the property Value, then convert to percentage. If your answer is over 100%, you've likely flipped the formula.
Exam Tip
Always double-check that your LTV percentage makes logical sense - it should typically be between 50-95% for most conventional loans, never over 100% unless dealing with specialized loan products.
Common Mistakes to Avoid
- -Reversing the formula by putting appraised value in the numerator
- -Forgetting to convert the decimal to a percentage
- -Confusing LTV with the borrower's equity percentage
Concept Deep Dive
Analysis
The loan-to-value (LTV) ratio is a fundamental financial metric used in real estate lending and appraisal that measures the relationship between the loan amount and the property's appraised value. This ratio is expressed as a percentage and helps lenders assess risk by determining how much of the property's value is being financed versus the borrower's equity. A lower LTV ratio indicates less risk for the lender because the borrower has more equity in the property, while a higher LTV ratio suggests greater lending risk. LTV ratios are critical in determining loan approval, interest rates, and whether private mortgage insurance (PMI) is required.
Background Knowledge
Loan-to-value ratio is calculated as: LTV = (Loan Amount ÷ Appraised Value) × 100. This ratio is fundamental in real estate finance and directly impacts lending decisions, interest rates, and insurance requirements. Most conventional loans require LTV ratios of 80% or less to avoid private mortgage insurance.
Real-World Application
Appraisers must understand LTV ratios because lenders use these calculations to determine if the appraised value supports the requested loan amount, and appraisers may need to explain how their valuation affects the borrower's financing options and loan terms.
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