An office building generates $180,000 in net operating income and has a capitalization rate of 8%. What is the indicated value?
Correct Answer
B) $2,250,000
Using the formula Value = NOI ÷ Cap Rate: $180,000 ÷ 0.08 = $2,250,000. The capitalization rate converts income into value.
Why This Is the Correct Answer
Option B is correct because it properly applies the direct capitalization formula: Value = NOI ÷ Cap Rate. Substituting the given values: $180,000 ÷ 0.08 = $2,250,000. This calculation converts the annual net operating income into a present value estimate using the market-derived capitalization rate. The cap rate of 8% (0.08 as a decimal) effectively means the property should generate an 8% return on investment annually.
Why the Other Options Are Wrong
Option A: $1,440,000
This represents the result of incorrectly multiplying NOI by the cap rate ($180,000 × 0.08 = $14,400) and then multiplying by 100, showing a fundamental misunderstanding of the capitalization formula.
Option C: $194,400
This is the result of incorrectly adding the NOI and cap rate percentage ($180,000 + 14.4 = $194,400), which has no mathematical basis in valuation theory.
Option D: $14,400
This represents multiplying NOI by the cap rate ($180,000 × 0.08 = $14,400) instead of dividing, which is the opposite of the correct formula and would give an unreasonably low value.
NOI Divided by Cap = Value Pride
Remember 'NOI over Cap gives you the MAP' - NOI over (divided by) Cap rate gives you the Market value, Asset value, Property value. Visualize NOI sitting on top of Cap rate like a fraction.
How to use: When you see NOI and cap rate together, immediately think of the fraction NOI/Cap Rate. The bigger the cap rate denominator, the smaller the resulting value, which makes intuitive sense - higher required returns mean lower property values.
Exam Tip
Always convert percentage cap rates to decimals before calculating (8% = 0.08). Double-check your answer makes sense - property values should be much larger than annual income.
Common Mistakes to Avoid
- -Multiplying NOI by cap rate instead of dividing
- -Forgetting to convert percentage to decimal (using 8 instead of 0.08)
- -Confusing NOI with gross income or other income figures
Concept Deep Dive
Analysis
This question tests the fundamental income approach formula used in real estate valuation, specifically the direct capitalization method. The capitalization rate (cap rate) is a critical tool that converts a property's net operating income into an estimate of market value. This method assumes that the income stream is stable and perpetual, making it particularly useful for income-producing properties like office buildings. Understanding this relationship between income, cap rates, and value is essential for appraisers as it forms the foundation of income approach valuations.
Background Knowledge
The income approach to valuation uses the direct capitalization method to convert net operating income into property value. The capitalization rate represents the rate of return an investor would expect from a property investment, derived from comparable sales and market data.
Real-World Application
Appraisers use this formula daily when valuing income properties. For example, when appraising an office building, they'll analyze comparable sales to derive market cap rates, then apply this rate to the subject property's NOI to estimate value for lending, taxation, or sale purposes.
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