A property has a gross operating income of $120,000 and operating expenses of $45,000. If the capitalization rate is 8%, what is the indicated value using direct capitalization?
Correct Answer
A) $937,500
Net Operating Income = $120,000 - $45,000 = $75,000. Value = NOI ÷ Cap Rate = $75,000 ÷ 0.08 = $937,500.
Why This Is the Correct Answer
Option A is correct because it follows the proper direct capitalization formula sequence. First, we calculate NOI by subtracting operating expenses ($45,000) from gross operating income ($120,000), yielding $75,000. Then we apply the direct capitalization formula: Value = NOI ÷ Cap Rate = $75,000 ÷ 0.08 = $937,500. This methodology correctly converts the property's income stream into a market value indication using the given capitalization rate.
Why the Other Options Are Wrong
Option B: $1,500,000
$1,500,000 results from incorrectly using gross operating income instead of NOI in the formula ($120,000 ÷ 0.08), which fails to account for operating expenses and significantly overvalues the property.
Option C: $562,500
$562,500 appears to result from using operating expenses in the calculation ($45,000 ÷ 0.08) rather than NOI, which represents a fundamental misunderstanding of the income approach.
Option D: $2,062,500
$2,062,500 seems to result from adding gross income and expenses then dividing by the cap rate (($120,000 + $45,000) ÷ 0.08), which is mathematically and conceptually incorrect for direct capitalization.
NOI-CAP Memory Formula
Remember 'NICE' - Net Income Capitalized Equals value. NOI = Gross Income - Operating Expenses, then Value = NOI ÷ Cap Rate (think 'divide to derive')
How to use: When you see direct capitalization problems, immediately think 'NICE' and follow the two-step process: 1) Calculate NOI by subtracting expenses from gross income, 2) Divide NOI by cap rate to get value
Exam Tip
Always double-check that you're using NOI (not gross income) in the capitalization formula, and remember that cap rates are expressed as decimals in calculations (8% = 0.08)
Common Mistakes to Avoid
- -Using gross operating income instead of NOI in the formula
- -Forgetting to convert percentage cap rates to decimals
- -Adding instead of subtracting operating expenses when calculating NOI
Concept Deep Dive
Analysis
This question tests the fundamental income approach concept of direct capitalization, which is one of the three primary methods used to value income-producing properties. Direct capitalization converts a single year's net operating income into an indication of value by dividing NOI by an appropriate capitalization rate. The process requires first calculating the Net Operating Income (NOI) by subtracting operating expenses from gross operating income, then applying the capitalization formula. This method assumes that the NOI represents a stabilized income stream and that the cap rate accurately reflects market expectations for similar properties.
Background Knowledge
Direct capitalization is a valuation method that converts net operating income into property value using a capitalization rate derived from comparable sales. The cap rate represents the relationship between a property's NOI and its market value, expressed as a percentage.
Real-World Application
Appraisers use direct capitalization daily when valuing rental properties, office buildings, and retail centers by analyzing the property's income stream and applying market-derived cap rates from comparable sales to estimate current market value
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