A property has an NOI of $50,000 and a cap rate of 5%. What is the value?
Question & Answer
Review the question and all answer choices
$500,000
$500,000 would result from dividing $50,000 by a 10% cap rate (0.10), not a 5% cap rate — this is a common arithmetic error where test-takers use 10% instead of correctly converting 5% to its decimal equivalent of 0.05.
$750,000
$750,000 does not correspond to any standard application of the Value = NOI ÷ Cap Rate formula with the given numbers — it may result from an incorrect partial calculation or confusion with a different formula entirely.
$1,000,000
$250,000
$250,000 would result from multiplying $50,000 by the cap rate (50,000 × 0.05 = $2,500... actually $250,000 would come from $50,000 ÷ 0.20, a 20% cap rate) — this error reflects either inverting the formula or using an incorrect cap rate, both of which are classic mistakes under exam pressure.
Why is this correct?
The income capitalization formula is Value = NOI ÷ Cap Rate, so $50,000 ÷ 0.05 = $1,000,000. This formula is universally applied in commercial real estate valuation and is the foundational equation for the income approach, which is the preferred method for valuing income-producing properties like apartment buildings, office complexes, and retail centers.
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