A property generates $85,000 in Net Operating Income and has a market-derived capitalization rate of 8.5%. What is the indicated value using direct capitalization?
Correct Answer
A) $1,000,000
Using the income capitalization formula: Value = NOI ÷ Cap Rate = $85,000 ÷ 0.085 = $1,000,000.
Why This Is the Correct Answer
Option A ($1,000,000) correctly applies the direct capitalization formula: Value = NOI ÷ Cap Rate. Substituting the given values: $85,000 ÷ 0.085 = $1,000,000. This calculation shows that an investor requiring an 8.5% return would pay $1,000,000 for a property generating $85,000 in annual net operating income. The math is straightforward division that converts the decimal percentage (8.5% = 0.085) properly.
Why the Other Options Are Wrong
Option B: $850,000
$850,000 represents a common error where the student multiplies NOI by the cap rate ($85,000 × 0.085 = $7,225) then adds it to NOI, or simply confuses the formula direction entirely.
Option C: $1,176,471
$1,176,471 appears to result from using an incorrect cap rate in the denominator, possibly 7.225% instead of 8.5%, demonstrating the importance of careful decimal conversion and formula application.
Option D: $7,225
$7,225 is the result of incorrectly multiplying NOI by the cap rate ($85,000 × 0.085) instead of dividing, representing a fundamental misunderstanding of the capitalization formula.
NOI Divided, Value Decided
Remember 'NOI over Cap' - visualize NOI sitting on top of the cap rate in a fraction. Think 'Income UP, Rate DOWN' to remember NOI goes in the numerator and cap rate in the denominator.
How to use: When you see a direct capitalization problem, immediately write the formula as a fraction: NOI/Cap Rate. Always convert the percentage to decimal (8.5% = 0.085) before calculating.
Exam Tip
Always double-check that you're dividing NOI by the cap rate, not multiplying. A quick reasonableness check: the value should be much larger than the NOI (typically 10-20 times larger for common cap rates).
Common Mistakes to Avoid
- -Multiplying NOI by cap rate instead of dividing
- -Forgetting to convert percentage to decimal (using 8.5 instead of 0.085)
- -Confusing gross income with net operating income in the calculation
Concept Deep Dive
Analysis
This question tests the fundamental income capitalization approach, one of the three primary valuation methods in real estate appraisal. Direct capitalization converts a single year's net operating income into an estimate of market value using a market-derived capitalization rate. The formula Value = NOI ÷ Cap Rate is the cornerstone of income property valuation and reflects the relationship between income production and property value. Understanding this relationship is crucial because it demonstrates how investors view the income-producing potential of real estate relative to the purchase price.
Background Knowledge
The income capitalization approach estimates value based on a property's income-producing capability, using the principle that value equals the present worth of future benefits. Direct capitalization assumes the current year's NOI is representative of future income and applies a market-derived cap rate to convert that income stream into a lump-sum value.
Real-World Application
Appraisers use direct capitalization daily when valuing income properties like office buildings, retail centers, and apartment complexes. They extract cap rates from comparable sales and apply them to the subject property's stabilized NOI to estimate market value.
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