An income-producing property generates $120,000 in net operating income and has a market value of $1,500,000. What is the capitalization rate?
Correct Answer
B) 8.0%
Capitalization rate is calculated as NOI ÷ Value. $120,000 ÷ $1,500,000 = 0.08 or 8.0%.
Why This Is the Correct Answer
Option B (8.0%) is correct because it applies the proper capitalization rate formula: Cap Rate = NOI ÷ Market Value. Substituting the given values: $120,000 ÷ $1,500,000 = 0.08 = 8.0%. This calculation directly follows the fundamental relationship between income, value, and capitalization rate. The result of 8.0% represents a reasonable cap rate for many types of income-producing properties in typical market conditions.
Why the Other Options Are Wrong
Option A: 12.5%
Option A (12.5%) is incorrect because it appears to result from an error in calculation or possibly confusing the formula. This rate would be too high for the given NOI and value relationship.
Option C: 7.5%
Option C (7.5%) is incorrect and likely results from a calculation error or rounding mistake. While close to the correct answer, precision is critical in appraisal calculations.
Option D: 10.0%
Option D (10.0%) is incorrect and may result from misapplying the formula or making an arithmetic error. This would suggest a higher rate of return than what the actual NOI and value relationship supports.
NOI Over Value (NOV)
Remember 'NOV' - NOI Over Value = Cap Rate. Think 'November' to remember NOI goes on top (numerator) and Value goes 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 bottom, then convert the decimal result to a percentage.
Exam Tip
Always double-check your decimal placement when converting to percentage - 0.08 becomes 8.0%, not 0.8% or 80%.
Common Mistakes to Avoid
- -Inverting the formula (Value ÷ NOI instead of NOI ÷ Value)
- -Decimal point errors when converting to 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 critical metric used to convert net operating income into an estimate of property value. The capitalization rate represents the rate of return an investor would expect from a property based on the income it generates relative to its market value. Understanding this relationship is essential for appraisers using the income approach, as cap rates are used both to derive property values from income and to analyze market trends. The formula Cap Rate = NOI ÷ Value is one of the most important equations in real estate appraisal and investment analysis.
Background Knowledge
The capitalization rate is derived from the income approach to valuation and represents the relationship between a property's net operating income and its market value. Cap rates are market-driven and vary by property type, location, risk factors, and market conditions, typically ranging from 4% to 12% for most commercial properties.
Real-World Application
Appraisers use cap rates to analyze comparable sales in the income approach, extract market cap rates from recent transactions, and apply them to subject properties to estimate value. Investors also use cap rates to quickly evaluate potential property acquisitions.
More Math & Stats Questions
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