An income property generates $48,000 in annual net operating income. Using a capitalization rate of 8%, what is the indicated value?
Correct Answer
C) $600,000
Why this is correct: The direct capitalization formula is Value = Net Operating Income ÷ Capitalization Rate. Here, NOI = $48,000 and Cap Rate = 8% (0.08). So, Value = $48,000 ÷ 0.08 = $600,000. Why the other choices are wrong: $384,000 results from multiplying NOI by the cap rate ($48,000 × 0.08). $640,000 incorrectly uses a 7.5% cap rate ($48,000 ÷ 0.075). $480,000 is simply the NOI amount, not a calculated value. Exam tip: In direct capitalization, dividing NOI by the cap rate gives value; multiplying gives annual capital return.
Why This Is the Correct Answer
Option C ($600,000) correctly applies the direct capitalization formula: Value = Net Operating Income ÷ Capitalization Rate. Substituting the given values: Value = $48,000 ÷ 0.08 = $600,000. This calculation demonstrates that an investor paying $600,000 for a property generating $48,000 in annual NOI would receive an 8% return on their investment. The mathematical relationship is straightforward: dividing the annual income by the required rate of return yields the present value of that income stream.
Why the Other Options Are Wrong
Option A: $384,000
$384,000 appears to result from incorrectly multiplying NOI by the cap rate ($48,000 × 0.08 = $3,840, then possibly adding zeros incorrectly) rather than dividing, which represents a fundamental misunderstanding of the capitalization formula.
Option B: $640,000
$640,000 could result from incorrectly adding the NOI to some base figure or using a cap rate that's too low (7.5%), demonstrating confusion about how capitalization rates and property values relate inversely.
Option D: $480,000
$480,000 might result from using an incorrect cap rate (10% instead of 8%) in the calculation, or from other computational errors that don't follow the proper direct capitalization methodology.
NOI Divided by Cap = Value Pride
Remember 'NOI over Cap gives you the Map' - Net Operating Income divided by Capitalization rate gives you the roadmap to property value. Visualize NOI sitting on top of Cap Rate like a fraction, with the result being the property's value.
How to use: When you see a direct capitalization problem, immediately set up the fraction: NOI (numerator) over Cap Rate (denominator). Remember that NOI goes 'over' the cap rate, just like 'NOI over Cap gives you the Map.'
Exam Tip
Always convert percentage cap rates to decimals before calculating (8% = 0.08), and double-check that you're dividing NOI by the cap rate, not multiplying - this is the most common error on direct capitalization questions.
Common Mistakes to Avoid
- -Multiplying NOI by cap rate instead of dividing
- -Forgetting to convert percentage cap rate to decimal form
- -Using gross income instead of net operating income in the calculation
Concept Deep Dive
Analysis
This question tests the fundamental income approach concept of direct capitalization, which is one of the three primary methods used to value income-producing properties. Direct capitalization converts a single year's net operating income into an estimate of market value by applying an appropriate capitalization rate. The capitalization rate represents the relationship between net operating income and property value, reflecting the rate of return an investor would expect from the property. This method assumes that the property's income and expenses are stabilized and that the cap rate accurately reflects current market conditions for similar properties.
Background Knowledge
Direct capitalization is a valuation method that converts net operating income into property value using a capitalization rate derived from comparable sales. The cap rate reflects the relationship between a property's income and its value, with higher cap rates indicating higher risk or lower property values, and lower cap rates suggesting lower risk or higher property values.
Real-World Application
Appraisers use direct capitalization daily when valuing rental properties, office buildings, and retail centers. They extract cap rates from recent comparable sales by dividing each sale's NOI by its sale price, then apply the appropriate cap rate to the subject property's stabilized NOI to estimate market value.
More Income Approach Questions
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A comparable sale occurred 8 months ago for $425,000. Market conditions indicate property values have increased 0.5% per month since that time. What is the adjusted sale price?
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