A property generates $48,000 in net operating income and has an overall capitalization rate of 8%. Using direct capitalization, the indicated value is:
Correct Answer
C) $600,000
Why this is correct: Direct capitalization uses the formula V = NOI ÷ R. With NOI = $48,000 and R = -8% (0.08), V = $48,000 ÷ 0.08 = $600,000. Why the other choices are wrong: $520,000 is not supported by the given numbers. $480,000 is the NOI, not the calculated value. $384,000 results from multiplying NOI by the cap rate. Exam tip: This is a fundamental income approach calculation; always divide NOI by the cap rate.
Why This Is the Correct Answer
Option B ($600,000) correctly applies the direct capitalization formula: Value = Net Operating Income ÷ Capitalization Rate. Substituting the given values: V = $48,000 ÷ 0.08 = $600,000. This calculation demonstrates the inverse relationship between capitalization rates and property values - as the cap rate decreases, the indicated value increases, and vice versa. The formula is straightforward division, converting the decimal percentage (8% = 0.08) and performing the mathematical operation correctly.
Why the Other Options Are Wrong
Option A: $520,000
Option A ($520,000) could result from using an incorrect cap rate in the calculation or making a computational error, producing a value that's $80,000 below the correct indicated value.
Option B: $480,000
Option B ($480,000) might result from a calculation error, possibly confusing the NOI figure or making an arithmetic mistake in the division process, resulting in a value that's $120,000 below the correct answer.
Option D: $384,000
Option D ($384,000) appears to result from multiplying the NOI by the cap rate ($48,000 × 0.08 = $3,840, then possibly adding zeros incorrectly), which reverses the proper formula and produces an illogical result much lower than the correct value.
VIN Formula
Remember 'VIN' like a car's Vehicle Identification Number: V = I ÷ N, where V is Value, I is Income (NOI), and N is the cap rate (Number). Think 'Value Is Income divided by the Number (rate).'
How to use: When you see a direct capitalization problem, immediately think 'VIN' and set up the formula V = I ÷ N. Identify the NOI as 'I' and the cap rate as 'N', then divide to find 'V' (Value).
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 - the most common error on this type of question.
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 will continue at the current level, making it most appropriate for income-producing properties with stable cash flows.
Background Knowledge
Direct capitalization is part of the income approach to valuation, where NOI represents the annual income after operating expenses but before debt service and income taxes. The capitalization rate is derived from market sales of comparable income-producing properties and reflects investor expectations for return on investment in the current market.
Real-World Application
Appraisers use direct capitalization daily when valuing rental properties, office buildings, retail centers, and other income-producing real estate. The NOI comes from actual or projected operating statements, while cap rates are extracted from recent sales of similar properties in the market.
More Income Approach Questions
A property generates $85,000 in Net Operating Income and sells for $1,062,500. What is the overall capitalization rate?
A property has potential gross income of $180,000, vacancy and collection loss of $15,000, and operating expenses of $65,000. What is the Net Operating Income?
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?
A property generates $150,000 in potential gross income. Market data indicates a 7% vacancy rate and operating expenses of 35% of effective gross income. If the cap rate is 9.5%, what is the indicated value?
A property sold for $320,000 one year ago. If market conditions have improved by 6% since that sale, what is the time-adjusted sale price for comparison purposes?
A commercial building cost $2,500,000 to construct. The land value is $600,000. If the building has suffered 15% physical deterioration and 8% functional obsolescence, what is the depreciated cost of the improvements?
A building's gross rent multiplier (GRM) is 120. If the monthly rent is $2,500, what is the indicated value?
In the cost approach, economic obsolescence is characterized as:
The concept of regression in property values means that:
A commercial property has potential gross income of $120,000, vacancy and collection loss of 8%, and operating expenses of $35,000. Using a cap rate of 9.5%, what is the indicated value?
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