Q8. An appraiser estimates that a small apartment building has an annual net operating income (NOI) of $30,000. If the market capitalization rate is 6%, what is the indicated value of the property (using the income approach)?
Explanation: In the income capitalization approach, value is calculated as NOI ÷ capitalization rate. Here, NOI is $30,000 and the cap rate is 0.06 (6%). $30,000 divided by 0.06 equals $500,000. This means the property would be valued at approximately $500,000 to yield a 6% return on a $500,000 investment. (Choice D, $600,000, would imply a lower cap rate; choice B, $200,000, would correspond to a much higher cap rate around 15%.) The formula V = I ÷ R is a fundamental principle of the income approach 18] 18 19] 19
Citation: California Real Estate Reference Book – Glossary (Capitalization Rate and Income Approach) :: Enhanced Q8 Explanation:
Explanation: In the income capitalization approach, value is calculated using the formula: Value = Net Operating Income ÷ Capitalization Rate (or V = I ÷ R).
Step-by-step calculation:
Net Operating Income (NOI) = $30,000
Capitalization Rate = 6% = 0.06 (convert percentage to decimal)
Value = $30,000 ÷ 0.06 = $500,000
Verification: A $500,000 property generating $30,000 annual income yields a 6% return ($30,000 ÷ $500,000 = 0.06 or 6%).
Why other answers are wrong:
Choice A ($180,000): Would require a much higher cap rate of about 16.7%
Choice B ($200,000): Would require a cap rate of 15%
Choice D ($600,000): Would imply a lower cap rate of 5%
The formula V = I ÷ R is a fundamental principle of the income approach to valuation.