An office building generates $240,000 in net operating income and has a capitalization rate of 8%. What is the estimated value of the property?
Correct Answer
B) $3,000,000
Using the income capitalization formula: Value = NOI ÷ Cap Rate. $240,000 ÷ 0.08 = $3,000,000.
Why This Is the Correct Answer
Option B is correct because it properly applies the income capitalization formula: Value = Net Operating Income ÷ Capitalization Rate. Substituting the given values: $240,000 ÷ 0.08 = $3,000,000. This calculation shows that an investor paying $3,000,000 for this property would receive an 8% return on their investment based on the current NOI. The math is straightforward division that converts the annual income stream into a present value estimate.
Why the Other Options Are Wrong
Option A: $2,400,000
Option A ($2,400,000) appears to result from incorrectly multiplying NOI by 10 instead of dividing by the cap rate, or possibly dividing by 0.10 instead of 0.08.
Option C: $1,920,000
Option C ($1,920,000) results from incorrectly multiplying the NOI by the cap rate ($240,000 × 0.08) instead of dividing, which gives the wrong mathematical relationship.
Option D: $19,200
Option D ($19,200) results from the same error as option C but with a decimal place error, showing $240,000 × 0.08 ÷ 100, indicating confusion about the formula and decimal conversion.
NOI Divided by Cap = Value Pride
Remember 'NOI over CAP gives you the MAP' - Net Operating Income over (divided by) CAPitalization rate gives you the MAP (Market value/Appraised Price). Visualize NOI sitting on top of Cap Rate like a fraction.
How to use: When you see NOI and cap rate given, immediately think 'NOI over CAP gives me the MAP' and set up the division: NOI ÷ Cap Rate = Value. Always convert percentage to decimal first.
Exam Tip
Always convert the cap rate percentage to decimal form 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 income approach questions.
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 cap rate with other rates like discount rates or mortgage rates
Concept Deep Dive
Analysis
This question tests the fundamental income capitalization approach, one of the three primary methods of real estate valuation. The income approach converts a property's net operating income into an estimated market value using a capitalization rate that reflects market expectations and risk. This method is particularly crucial for income-producing properties like office buildings, retail centers, and apartment complexes. The capitalization rate represents the rate of return an investor would expect from the property, and it's derived from comparable sales and market analysis.
Background Knowledge
The income capitalization approach is based on the principle that value equals the present worth of future income benefits. Appraisers must understand that the capitalization rate reflects market-derived rates of return and risk factors for similar properties. Net Operating Income represents the property's annual income after operating expenses but before debt service and taxes.
Real-World Application
Appraisers use this method daily when valuing commercial properties. They analyze comparable sales to extract cap rates, then apply these rates to the subject property's stabilized NOI to estimate market value. This approach is essential for investment property analysis and is often the primary method for commercial appraisals.
More Math & Stats Questions
What is the area of a triangular lot with a base of 120 feet and a height of 80 feet?
An irregular lot has the following measurements: Side A = 100', Side B = 150', Side C = 120', Side D = 180'. If the lot can be divided into two rectangles (100' × 150' and 120' × 30'), what is the total area?
A property has a potential gross income of $180,000, vacancy and collection loss of 7%, and operating expenses of $65,000. What is the NOI?
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