A commercial building has a net operating income (NOI) of $125,000 and sold for $1,562,500. What is the overall capitalization rate?
Correct Answer
B) 8.0%
The capitalization rate is calculated by dividing NOI by value: $125,000 ÷ $1,562,500 = 0.08 or 8.0%.
Why This Is the Correct Answer
Option B (8.0%) is correct because it applies the proper cap rate formula: Cap Rate = NOI ÷ Value. Dividing the net operating income of $125,000 by the sale price of $1,562,500 equals 0.08, which converts to 8.0%. This calculation follows the standard income approach methodology where the cap rate represents the direct relationship between annual income and property value. The result of 8.0% is also within a reasonable range for commercial property cap rates in most markets.
Why the Other Options Are Wrong
Option A: 12.5%
Option A (12.5%) results from incorrectly dividing the sale price by the NOI ($1,562,500 ÷ $125,000 = 12.5), which is the inverse of the correct cap rate formula and would actually give you a gross income multiplier concept rather than a cap rate.
Option C: 6.25%
Option C (6.25%) appears to result from a calculation error, possibly from incorrectly manipulating the numbers or confusing the cap rate formula with another valuation metric, as this percentage doesn't result from any logical application of the given figures.
Option D: 10.0%
Option D (10.0%) likely results from rounding errors or miscalculation, possibly from incorrectly estimating the division or confusing this problem with a different set of numbers that would yield a 10% cap rate.
NOI Over Value (NOV)
Remember 'NOV' - NOI Over Value = Cap Rate. Think of November (NOV) as the month when you 'cap off' the year by calculating returns on your investments.
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, then convert the decimal to a percentage.
Exam Tip
Always double-check that you're dividing NOI by value, not value by NOI - the most common error is inverting the formula and getting an unrealistically high percentage.
Common Mistakes to Avoid
- -Inverting the formula by dividing value by NOI instead of NOI by 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 overall capitalization rate (cap rate), which is a key metric used to convert net operating income into property value. The cap rate represents the relationship between a property's annual net operating income and its market value, essentially showing the rate of return an investor can expect from the property. Understanding cap rates is crucial for appraisers as they are used extensively in the income approach to valuation, particularly for income-producing commercial properties. Cap rates also serve as a market indicator, helping appraisers compare similar properties and assess investment risk.
Background Knowledge
The overall 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. Cap rates are derived from market sales data and are used to convert income streams into property values, making them essential tools in the income approach to appraisal.
Real-World Application
Appraisers use cap rates daily when valuing income-producing properties like office buildings, retail centers, and apartment complexes. They extract cap rates from comparable sales and apply them to the subject property's NOI to estimate market value, or they may extract the cap rate from a sale to understand market expectations.
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