What is the capitalization rate for a property with an NOI of $85,000 and a value of $1,062,500?
Correct Answer
A) 8.0%
Capitalization rate = NOI ÷ Value = $85,000 ÷ $1,062,500 = 0.08 or 8.0%.
Why This Is the Correct Answer
Option A is correct because it applies the capitalization rate formula properly: Cap Rate = NOI ÷ Value. Substituting the given values: $85,000 ÷ $1,062,500 = 0.08 = 8.0%. This calculation is straightforward division that converts to a percentage by moving the decimal point two places to the right. The 8.0% cap rate represents a reasonable return rate for commercial real estate investments in many markets.
Why the Other Options Are Wrong
Option B: 12.5%
Option B (12.5%) is incorrect because it appears to result from incorrectly dividing the value by the NOI ($1,062,500 ÷ $85,000 = 12.5), which reverses the proper cap rate formula. This would give a gross income multiplier concept rather than a capitalization rate. A 12.5% cap rate would also be unusually high for most commercial properties, suggesting a very risky investment.
Option C: 7.5%
Option C (7.5%) is incorrect and likely results from a calculation error, possibly rounding mistakes or using incorrect figures in the division. While 7.5% could be a reasonable cap rate in some markets, it doesn't match the mathematical result of the given NOI and value. This demonstrates the importance of careful calculation and double-checking arithmetic.
Option D: 6.8%
Option D (6.8%) is incorrect and appears to stem from a calculation error or possibly confusing this with a different financial ratio. Like option C, while 6.8% could represent a plausible cap rate for high-quality properties in strong markets, it doesn't correspond to the actual mathematical relationship between the given NOI and property value.
NOI Over Value (NOV)
Remember 'NOV' - NOI Over Value. Think 'November' to remember NOI goes on top (numerator) and Value goes on bottom (denominator). You can also use 'Income Over Investment' since NOI represents income and value represents the investment amount.
How to use: When you see a cap rate calculation question, immediately think 'NOV' and set up the fraction with NOI on top and Value on bottom. Double-check that you're not reversing the formula, which is a common error that leads to incorrect answers.
Exam Tip
Always double-check your division setup - NOI divided BY value, not value divided by NOI. Use your calculator carefully and verify that your answer falls within a reasonable cap rate range (typically 4-12% for most properties).
Common Mistakes to Avoid
- -Reversing 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 formula for calculating capitalization rates, which is one of the three core methods used in real estate valuation. The capitalization rate (cap rate) represents the relationship between a property's net operating income and its market value, essentially showing the rate of return an investor can expect from the property. Understanding this relationship is crucial because cap rates are used both to value properties (when NOI is known) and to analyze investment returns. The formula Cap Rate = NOI ÷ Value is the foundation for the income approach and must be memorized and applied accurately.
Background Knowledge
The capitalization rate is a fundamental concept in the income approach to valuation, representing the rate of return that converts net operating income into property value. Cap rates vary by property type, location, market conditions, and risk factors, typically ranging from 4% to 12% for most commercial properties.
Real-World Application
Appraisers use cap rates daily to value income-producing properties by applying market-derived cap rates to subject property NOI. They also extract cap rates from comparable sales to build a database of market rates for different property types and locations, which becomes crucial for the income approach valuation.
More Math & Stats Questions
What is the area of a triangular lot with a base of 120 feet and a height of 80 feet?
An irregular lot has the following measurements: Side A = 100', Side B = 150', Side C = 120', Side D = 180'. If the lot can be divided into two rectangles (100' × 150' and 120' × 30'), what is the total area?
A property has a potential gross income of $180,000, vacancy and collection loss of 7%, and operating expenses of $65,000. What is the NOI?
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