A property generates $85,000 in Net Operating Income and sells for $1,062,500. What is the overall capitalization rate?
Correct Answer
A) 8.0%
The overall capitalization rate is calculated as NOI ÷ Sale Price = $85,000 ÷ $1,062,500 = 0.08 or 8.0%. This rate represents the relationship between income and value for this property.
Why This Is the Correct Answer
Option A (8.0%) is correct because it follows the standard cap rate formula: NOI ÷ Sale Price. Using the given figures: $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 indicates that the property generates an 8% annual return based on its purchase price, which is a reasonable cap rate for many commercial real estate markets.
Why the Other Options Are Wrong
Option B: 12.5%
Option B (12.5%) is incorrect because it appears to be the result of incorrectly dividing the sale price by the NOI ($1,062,500 ÷ $85,000 = 12.5), which is the inverse of the correct cap rate formula. This would give you a price-to-income ratio rather than a capitalization rate.
Option C: 6.8%
Option C (6.8%) is incorrect and likely results from a calculation error, possibly from rounding errors or using incorrect figures in the formula. There's no logical mathematical path from the given NOI and sale price that would yield 6.8%.
Option D: 7.5%
Option D (7.5%) is incorrect and appears to be another calculation error. This percentage doesn't result from the proper application of the cap rate formula using the given NOI of $85,000 and sale price of $1,062,500.
NOI Over Price = Cap Rate Slice
Remember 'NOP' - NOI Over Price = Cap Rate. Think of it as slicing the NOI pie by the price to get your cap rate slice. The bigger the price, the smaller your slice (lower cap rate).
How to use: When you see a cap rate question, immediately think 'NOP' and set up the fraction with NOI on top and Price on the bottom. Convert the decimal result to a percentage.
Exam Tip
Always double-check that you're dividing NOI by price, not price by NOI. The cap rate should typically fall between 4-12% for most commercial properties, so if your answer is outside this range, recalculate.
Common Mistakes to Avoid
- -Dividing sale price by NOI instead of NOI by sale price
- -Forgetting to convert the decimal result to a percentage
- -Using gross income instead of net operating income in the calculation
Concept Deep Dive
Analysis
The overall capitalization rate (cap rate) is a fundamental concept in real estate valuation that measures the relationship between a property's net operating income and its market value or sale price. It represents the rate of return an investor can expect from a property based on the income it generates, assuming the property was purchased with cash. The cap rate is expressed as a percentage and is calculated by dividing the annual Net Operating Income (NOI) by the property's sale price or current market value. This metric is crucial for comparing investment properties and understanding market conditions, as higher cap rates generally indicate higher risk or lower property values, while lower cap rates suggest lower risk or higher property values.
Background Knowledge
The capitalization rate is one of the three primary methods used in the income approach to real estate valuation, alongside gross rent multipliers and discounted cash flow analysis. Understanding cap rates is essential for appraisers because they reflect market conditions, risk levels, and investor expectations for different property types and locations.
Real-World Application
Appraisers use cap rates to value income-producing properties by analyzing recent sales of comparable properties. If similar properties in an area are selling at 8% cap rates, an appraiser can estimate the value of a subject property by dividing its NOI by 0.08.
More Valuation Principles Questions
Which of the following best describes the bundle of rights theory in real estate?
Market value is best defined as:
The principle of substitution states that:
A comparable sale occurred 8 months ago for $450,000. Market conditions analysis shows property values have increased 0.5% per month. What is the adjusted sale price?
What is the difference between reproduction cost and replacement cost?
People Also Study
Property Description & Analysis
20% of exam
Market Analysis & Highest/Best Use
15% of exam
Appraisal Math & Statistics
15% of exam
USPAP (Ethics & Standards)
15% of exam
Report Writing & Compliance
10% of exam