A property generates $120,000 in net operating income and is capitalized at 8%. What is the indicated value using direct capitalization?
Correct Answer
C) $1,500,000
Using the direct capitalization formula Value = NOI ÷ Cap Rate: $120,000 ÷ 0.08 = $1,500,000.
Why This Is the Correct Answer
Option C ($1,500,000) correctly applies the direct capitalization formula: Value = NOI ÷ Cap Rate. Substituting the given values: $120,000 ÷ 0.08 = $1,500,000. The calculation involves dividing the annual net operating income by the decimal equivalent of the capitalization rate (8% = 0.08). This straightforward mathematical relationship is the cornerstone of the income approach to valuation.
Why the Other Options Are Wrong
Option A: $960,000
This answer ($960,000) appears to result from incorrectly multiplying NOI by the cap rate ($120,000 × 0.08 = $9,600) or using an incorrect mathematical operation, possibly confusing the direct capitalization formula with another calculation.
Option B: $1,200,000
This answer ($1,200,000) suggests the student may have made a calculation error, possibly using 10% instead of 8% as the cap rate ($120,000 ÷ 0.10 = $1,200,000) or applying an incorrect mathematical operation.
Option D: $1,800,000
This answer ($1,800,000) indicates a significant calculation error, possibly dividing by a much lower cap rate (approximately 6.67%) or applying the wrong formula entirely.
NOI Divided by Cap = Value Pride
Remember 'NOI ÷ CAP = VALUE' with the phrase 'Never Over-complicate Income ÷ Cap Rate = Valuable Answer Leads to Understanding Everything.' Visualize income 'flowing down' through a funnel (division) marked with the cap rate to produce the value at the bottom.
How to use: When you see NOI and cap rate given, immediately think 'divide NOI by cap rate.' Convert percentage to decimal (8% = 0.08) and perform the division. The income goes on top, cap rate on bottom.
Exam Tip
Always convert percentage cap rates to decimals before calculating (8% = 0.08). Double-check your decimal placement - cap rates are typically small decimals, so dividing by them should result in values much larger than the NOI.
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 gross income with net operating income in the calculation
Concept Deep Dive
Analysis
This question tests the fundamental direct capitalization formula, which is one of the three primary approaches to real estate valuation (along with sales comparison and cost approaches). Direct capitalization converts a single year's net operating income into an estimate of market value by dividing the NOI by an appropriate capitalization rate. The capitalization rate reflects the relationship between income and value in the market, representing the rate of return an investor would expect from the property. This method assumes that the income stream is stabilized and that the cap rate accurately reflects current market conditions for similar properties.
Background Knowledge
Direct capitalization is a valuation method within the income approach that converts net operating income into market value using a single capitalization rate. The cap rate is derived from market sales of comparable income-producing properties and represents the relationship between a property's income and its sale price.
Real-World Application
Appraisers use direct capitalization daily when valuing rental properties, office buildings, and retail centers. They extract cap rates from recent sales of comparable properties, then apply this rate to the subject property's stabilized NOI to estimate market value for lending, taxation, or investment decisions.
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