An office building generates $180,000 in net operating income and has a capitalization rate of 8.5%. What is the indicated value?
Correct Answer
A) $2,117,647
Why this is correct: The basic direct capitalization formula is Value = Net Operating Income (NOI) divided by Capitalization Rate (R). Here, Value = 180,000 / 0.085. Perform the division: 180,000 divided by 0.085 equals 2,117,647. Why the other choices are wrong: '$1,530,000' results from multiplying NOI by the cap rate (180,000 * 0.085). '$15,300' is 180,000 * 0.085 incorrectly shifted. '$2,400,000' approximates a value using an 7.5% cap rate. Exam tip: Remember V = I/R. For the math, dividing by a decimal like 0.085 is the same as multiplying by its reciprocal (1/0.085 ≈ 11.7647).
Why This Is the Correct Answer
Option B correctly applies the income capitalization formula: Value = NOI ÷ Cap Rate. Substituting the given values: $180,000 ÷ 0.085 = $2,117,647. This calculation converts the annual net operating income into a present value estimate using the market-derived capitalization rate. The formula essentially asks: 'What amount of money, when multiplied by 8.5%, would produce $180,000 annually?'
Why the Other Options Are Wrong
NOI Divided by Cap = Value Pride
Remember 'NOI over CAP gives you the MAP (to value)' - NOI goes on top (numerator), Cap Rate goes on bottom (denominator), and this maps your way to property value.
How to use: When you see an income capitalization problem, immediately visualize the fraction: NOI on top, Cap Rate on bottom. Think 'income over rate equals estate' to remember the division relationship.
Exam Tip
Always convert percentage cap rates to decimals before calculating (8.5% becomes 0.085), and double-check that your final answer makes sense - income property values should typically be much larger than their annual NOI.
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 capitalization approach, one of the three primary valuation methods in real estate appraisal. The income approach is particularly crucial for income-producing properties like office buildings, retail centers, and apartment complexes. It establishes property value based on the income stream the property generates, using the relationship between net operating income and the capitalization rate. The capitalization rate reflects the rate of return an investor would expect from the property, considering factors like risk, market conditions, and property type.
Background Knowledge
The income capitalization approach is based on the principle that property value equals the present worth of future income benefits. Net Operating Income (NOI) represents the annual income after operating expenses but before debt service and taxes, while the capitalization rate represents the rate of return required by investors for similar properties in the market.
Real-World Application
Appraisers use this method daily when valuing commercial properties by analyzing comparable sales to extract market cap rates, then applying those rates to the subject property's NOI to estimate value for lending, taxation, or investment decisions.
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