What is the capitalization rate for a property that sold for $1,500,000 with an annual NOI of $120,000?
Correct Answer
A) 8.0%
Capitalization rate = NOI ÷ Value = $120,000 ÷ $1,500,000 = 0.08 or 8.0%.
Why This Is the Correct Answer
Option A is correct because the capitalization rate formula is NOI ÷ Value. Using the given figures: $120,000 ÷ $1,500,000 = 0.08 or 8.0%. This calculation follows the standard mathematical approach where we divide the annual income by the total investment to determine the rate of return. The result of 8.0% represents a reasonable cap rate for most commercial real estate markets.
Why the Other Options Are Wrong
Option B: 12.5%
Option B (12.5%) is incorrect because it appears to reverse the calculation, possibly dividing the sale price by NOI ($1,500,000 ÷ $120,000 = 12.5). This would give a gross rent multiplier concept rather than a capitalization rate. The cap rate should always be NOI divided by value, not the inverse.
Option C: 7.2%
Option C (7.2%) is incorrect and doesn't correspond to any logical calculation using the given numbers. This may be a distractor answer designed to confuse test-takers who might make arithmetic errors or use incorrect formulas during the calculation process.
Option D: 8.5%
Option D (8.5%) is incorrect and appears to be close to the correct answer to test precision in calculation. This might result from rounding errors or miscalculation during the division process, emphasizing the importance of careful arithmetic in appraisal calculations.
NOI Over Value (NOV)
Remember 'NOV' - NOI Over Value. Think of November (NOV) as the month when you 'cap' off the year, just like cap rate 'caps' the relationship between income and value. Always put NOI on top (numerator) and Value on bottom (denominator).
How to use: When you see a cap rate question, immediately think 'NOV' and set up the fraction with NOI on top and Value on the bottom. This prevents the common error of inverting the formula.
Exam Tip
Always double-check your decimal placement when converting to percentage - move the decimal two places to the right and add the % symbol. Write out the formula first before plugging in numbers.
Common Mistakes to Avoid
- -Inverting the formula (Value ÷ NOI instead of NOI ÷ Value)
- -Forgetting to convert the decimal to a percentage
- -Using gross income instead of net operating income
Concept Deep Dive
Analysis
This question tests the fundamental income approach concept of capitalization rate (cap rate), which is a key metric used to convert net operating income into property value. The capitalization rate represents the rate of return an investor expects from a property based on the income it generates. It's calculated by dividing the annual Net Operating Income (NOI) by the property's market value or sale price. Understanding cap rates is essential for appraisers as they're used in the direct capitalization method of the income approach to valuation.
Background Knowledge
The capitalization rate is a fundamental concept in real estate valuation that measures the relationship between a property's net operating income and its market value. It serves as both a valuation tool and a market indicator, helping appraisers understand investor expectations and market conditions for similar properties.
Real-World Application
Appraisers use cap rates extracted from comparable sales to value income-producing properties. If similar properties are selling at 8% cap rates, an appraiser can divide a subject property's NOI by 0.08 to estimate its market value using the direct capitalization method.
More Math & Stats Questions
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