A building has an annual net operating income of $125,000 and was purchased for $1,562,500. What is the capitalization rate?
Correct Answer
C) 8.0%
Why this is correct: The capitalization rate (cap rate) is a ratio of a property's Net Operating Income (NOI) to its value (or price). The formula is: Cap Rate = NOI ÷ Value. Here, $125,000 ÷ $1,562,500 = 0.08 or 8.0%. Why the other choices are wrong: "12.5%" incorrectly swaps NOI and value ($1,562,500 ÷ $125,000). "10.0%" approximates but is not the precise calculation. "6.5%" has no basis in the given numbers. Exam tip: Cap rate = NOI / Value. Remember 'Income over Value' to get the rate.
Why This Is the Correct Answer
Option B (8.0%) is correct because the capitalization rate formula is NOI ÷ Property Value. Using the given figures: $125,000 ÷ $1,562,500 = 0.08 = 8.0%. This straightforward calculation demonstrates the direct relationship between a property's income-generating capacity and its market value. The cap rate of 8.0% indicates that the property generates an 8% return on the investment based on its net operating income.
Why the Other Options Are Wrong
Option A: 12.5%
Option A (12.5%) is significantly higher than the correct answer and likely results from inverting the formula (Value ÷ NOI) or other fundamental calculation errors.
Option B: 10.0%
Option B (10.0%) suggests either calculation errors or potentially confusing the cap rate formula with other investment metrics, resulting in an inflated rate.
Option D: 6.5%
Option D (6.5%) results from an incorrect calculation or formula application, possibly confusing cap rate with other financial ratios or making arithmetic errors in the division.
NOI Over Value (NOV)
Remember 'NOV' - NOI Over Value. Think 'November' to remember the formula: Cap Rate = NOI ÷ Value. You can also use 'I over V' (Income over Value) like 'IV' (intravenous) - income flows into value.
How to use: When you see a cap rate question, immediately think 'NOV' or 'IV' and set up the fraction with NOI (income) on top and property value on the bottom, then convert the decimal 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%. Write out the formula first, then plug in numbers to avoid errors.
Common Mistakes to Avoid
- -Inverting the formula (Value ÷ NOI instead of NOI ÷ Value)
- -Forgetting to convert the decimal result to a percentage
- -Using gross income instead of net operating income in the calculation
Concept Deep Dive
Analysis
This question tests the fundamental income approach concept of capitalization 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 one of the three primary methods used in real estate appraisal (along with sales comparison and cost approaches) and is essential for income-producing properties. Understanding cap rates is crucial because they reflect market conditions, risk levels, and investor expectations for different property types and locations.
Background Knowledge
The capitalization rate is a fundamental concept in the income approach to valuation, representing the relationship between a property's net operating income and its value or purchase price. Cap rates are market-driven and vary by property type, location, condition, and economic factors, typically ranging from 4% to 12% depending on these variables.
Real-World Application
Appraisers use cap rates to value income-producing properties by analyzing comparable sales and their income data. For example, if similar office buildings in an area sell with 8% cap rates, an appraiser can estimate the value of a subject property generating $125,000 NOI as $1,562,500 ($125,000 ÷ 0.08).
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