A commercial property has a potential gross income of $180,000, vacancy and collection losses of $9,000, and operating expenses of $54,000. What is the net operating income (NOI)?
Correct Answer
A) $117,000
NOI is calculated as: Potential Gross Income - Vacancy/Collection Losses - Operating Expenses. $180,000 - $9,000 - $54,000 = $117,000.
Why This Is the Correct Answer
Option A ($117,000) correctly applies the NOI formula by systematically subtracting both vacancy/collection losses and operating expenses from potential gross income. The calculation follows the proper sequence: $180,000 (potential gross income) - $9,000 (vacancy/collection losses) - $54,000 (operating expenses) = $117,000. This represents the actual net income the property generates from operations before considering debt service or capital improvements. The answer demonstrates proper understanding that NOI requires deducting all income losses and operational costs from the theoretical maximum income.
Why the Other Options Are Wrong
Option B: $171,000
Option B ($171,000) incorrectly calculates NOI by only subtracting vacancy/collection losses ($180,000 - $9,000 = $171,000) while completely ignoring operating expenses. This represents Effective Gross Income, not Net Operating Income, and would significantly overstate the property's actual net income available for debt service and ownership returns.
Option C: $126,000
Option C ($126,000) incorrectly calculates NOI by only subtracting operating expenses ($180,000 - $54,000 = $126,000) while failing to account for vacancy and collection losses. This approach ignores the reality that properties rarely achieve 100% occupancy and collection rates, leading to an overstatement of actual net income.
Option D: $225,000
Option D ($225,000) appears to add vacancy/collection losses and operating expenses to the potential gross income ($180,000 + $9,000 + $54,000 = $243,000, though not exactly $225,000), which is completely incorrect. This fundamental error shows a misunderstanding of the NOI concept, as losses and expenses should be subtracted, not added, to determine net income.
PIG-VEG-NOI Method
Remember: PIG minus VEG equals NOI. PIG (Potential Income Gross) - V (Vacancy losses) - E (Expenses) - G (collection losses) = NOI. Think of a pig eating vegetables to get lean (net).
How to use: When you see an NOI calculation question, immediately identify the PIG (potential gross income), then subtract all the VEG (vacancy, expenses, collection losses) to arrive at the lean NOI. This ensures you don't miss any deductions.
Exam Tip
Always double-check that you've subtracted (not added) both vacancy/collection losses AND operating expenses from potential gross income - missing either component is a common error that leads to wrong answers.
Common Mistakes to Avoid
- -Forgetting to subtract vacancy and collection losses
- -Only subtracting operating expenses but not vacancy losses
- -Adding expenses instead of subtracting them
Concept Deep Dive
Analysis
Net Operating Income (NOI) is a fundamental metric in commercial real estate valuation that represents the actual income a property generates after accounting for vacancy losses and operating expenses, but before debt service and capital expenditures. This calculation is essential for determining a property's value using the income approach, as NOI is divided by the capitalization rate to estimate market value. The formula follows a logical sequence: start with the maximum potential income, subtract realistic vacancy expectations, then deduct all operating costs to arrive at the net income available to service debt and provide return to ownership. Understanding NOI is crucial because it directly impacts property valuation, investment decisions, and financing capabilities.
Background Knowledge
NOI is the cornerstone of the income approach to valuation and represents the annual income a property produces after deducting vacancy losses and operating expenses but before debt service and income taxes. Operating expenses typically include property taxes, insurance, utilities, maintenance, management fees, and repairs, but exclude mortgage payments, depreciation, and capital improvements.
Real-World Application
Appraisers use NOI to determine property values by dividing NOI by market capitalization rates, help lenders assess loan-to-value ratios, and assist investors in comparing different properties' income-generating potential on an apples-to-apples basis.
More Math & Stats Questions
What is the area of a triangular lot with a base of 120 feet and a height of 80 feet?
An irregular lot has the following measurements: Side A = 100', Side B = 150', Side C = 120', Side D = 180'. If the lot can be divided into two rectangles (100' × 150' and 120' × 30'), what is the total area?
A property has a potential gross income of $180,000, vacancy and collection loss of 7%, and operating expenses of $65,000. What is the NOI?
A property generates $120,000 in net operating income and is valued at $1,500,000. What is the capitalization rate?
A building has potential gross income of $180,000, vacancy and collection loss of 8%, and operating expenses of $54,000. What is the net operating income?
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