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. Calculating $85,000 ÷ $1,062,500 = 0.08, which converts to 8.0% when expressed as a percentage. This calculation is straightforward division that yields the overall capitalization rate. The result represents the annual return rate that this property generated relative to its sale price.
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 gross income multiplier-type calculation rather than a capitalization rate.
Option C: 6.8%
Option C (6.8%) is incorrect and appears to be an arbitrary figure that doesn't result from any standard real estate calculation using the given numbers. This may be a distractor answer designed to test whether students know the correct formula and can perform the calculation accurately.
Option D: 7.5%
Option D (7.5%) is incorrect and doesn't result from the proper cap rate calculation using the given figures. This appears to be another distractor answer that might result from calculation errors or confusion with other real estate formulas.
NOI Over Sale = Cap Rate Tale
Remember 'NOS' - Net Operating Income over Sale price equals cap rate. Think of it as 'NOS-ing around' for the cap rate by putting NOI on top and sale price on bottom.
How to use: When you see a cap rate question, immediately think 'NOS' and set up the fraction with NOI as the numerator and sale price (or value) as the denominator, then convert to a percentage.
Exam Tip
Always double-check that you're dividing NOI by the sale price (not the reverse) and remember to convert your decimal answer to a percentage by multiplying by 100 or moving the decimal point two places to the right.
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. This rate serves as a key metric for comparing investment properties and determining property values in the income approach to appraisal. The cap rate reflects the rate of return an investor can expect from a property based on the income it generates, assuming the property is purchased with cash. Understanding cap rates is essential for appraisers as they are used extensively in the direct capitalization method of the income approach.
Background Knowledge
The capitalization rate is expressed as a percentage and represents the rate of return on a real estate investment based on the income the property generates. Cap rates are used in the income approach to appraisal, specifically in direct capitalization, where Value = NOI ÷ Cap Rate, making the cap rate a critical component in property valuation.
Real-World Application
Appraisers use cap rates to value income-producing properties by analyzing comparable sales and their corresponding cap rates, then applying an appropriate cap rate to the subject property's NOI to estimate its market value.
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