A property has effective gross income of $120,000 and operating expenses of $45,000. If the capitalization rate is 8.5%, what is the indicated value?
Correct Answer
A) $882,353
First calculate NOI: $120,000 - $45,000 = $75,000. Then apply the income capitalization formula: Value = NOI ÷ Cap Rate = $75,000 ÷ 0.085 = $882,353.
Why This Is the Correct Answer
Option A correctly applies the two-step income capitalization process. First, Net Operating Income is calculated by subtracting operating expenses ($45,000) from effective gross income ($120,000), yielding $75,000 NOI. Second, the basic income capitalization formula (Value = NOI ÷ Cap Rate) is applied: $75,000 ÷ 0.085 = $882,353. This demonstrates proper understanding of both NOI calculation and the direct capitalization method.
Why the Other Options Are Wrong
Option B: $1,411,765
This answer likely results from dividing the effective gross income ($120,000) by the cap rate instead of using NOI, yielding $120,000 ÷ 0.085 = $1,411,765. This error ignores operating expenses and fails to calculate proper NOI.
Option C: $1,941,176
This answer appears to result from adding effective gross income and operating expenses ($120,000 + $45,000 = $165,000) then dividing by the cap rate, yielding $1,941,176. This fundamental error misunderstands that operating expenses reduce income rather than add to it.
Option D: $637,500
This answer results from multiplying NOI by the cap rate ($75,000 × 0.085 = $6,375) then applying some other calculation, or possibly dividing effective gross income by a different rate. This demonstrates confusion about the basic capitalization formula direction.
NOI-CAP Value Chain
Remember 'VICE' - Value = Income ÷ Cap rate, where Income means NOI (Net Operating Income). Think of a vice grip squeezing gross income down to NOI by removing expenses, then dividing by cap rate to get value.
How to use: When you see income capitalization problems, immediately think 'VICE' and follow the chain: 1) Calculate NOI (gross income minus expenses), 2) Divide NOI by cap rate to get Value. Always ensure you're using NOI, not gross income.
Exam Tip
Double-check that you're using NOI (after subtracting expenses) and not effective gross income in your cap rate calculation. Write out 'NOI ÷ Cap Rate = Value' to avoid accidentally multiplying instead of dividing.
Common Mistakes to Avoid
- -Using effective gross income instead of NOI in the calculation
- -Multiplying NOI by cap rate instead of dividing
- -Adding operating expenses to income instead of subtracting them
Concept Deep Dive
Analysis
This question tests the fundamental income capitalization approach, one of the three primary valuation methods in real estate appraisal. The income approach converts a property's income stream into an estimate of present value by calculating Net Operating Income (NOI) and dividing by an appropriate capitalization rate. This method is particularly important for income-producing properties like rental buildings, office complexes, and retail centers. Understanding the relationship between NOI, cap rates, and property value is essential for appraisers working with investment properties.
Background Knowledge
The income capitalization approach requires understanding that Net Operating Income (NOI) equals effective gross income minus operating expenses, and that property value equals NOI divided by the capitalization rate. The cap rate represents the relationship between a property's NOI and its market value, typically derived from comparable sales of similar income properties.
Real-World Application
Appraisers use this method daily when valuing rental properties, office buildings, and shopping centers. For example, when appraising a small apartment building, the appraiser would collect rent rolls, estimate vacancy rates, subtract operating expenses like maintenance and property taxes, then apply a market-derived cap rate to determine value for lending or sale purposes.
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