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Income ApproachEASY8.2% of exam

An appraiser estimates annual potential rent of $120,000 and combined vacancy and collection loss of $6,000. There is no other income. All annual property expenses, excluding debt service, are $45,000. What is the NOI?

Correct Answer

A) $69,000

120000−6000−45000 = 69000. Common errors: not deducting the vacancy and collection loss gives $75,000; reporting EGI as NOI gives $114,000; adding the expenses instead of deducting them gives $159,000.

Answer Options
A
$69,000
B
$75,000
C
$114,000
D
$159,000

Why This Is the Correct Answer

Option A is correct because EGI = $120,000 − $6,000 = $114,000, and NOI = $114,000 − $45,000 = $69,000. Debt service is excluded from the expenses, so no further deduction applies.

Why the Other Options Are Wrong

Option B: $75,000

Option B, $75,000, skips the vacancy and collection loss: $120,000 − $45,000 = $75,000. Deducting the $6,000 loss as well gives $69,000.

Option C: $114,000

Option C, $114,000, is EGI, not NOI: $120,000 − $6,000 = $114,000. Subtracting the $45,000 of expenses gives NOI of $69,000.

Option D: $159,000

Option D, $159,000, adds the expenses instead of subtracting them: $120,000 − $6,000 + $45,000 = $159,000. Expenses reduce income, so NOI is $114,000 − $45,000 = $69,000.

Two subtractions to NOI

From potential rent, subtract the loss, then subtract the expenses. Two minus signs take you from gross to net.

How to use: Use this to check that both deductions are made before reporting NOI.

Exam Tip

NOI must be less than EGI, which must be less than potential rent; an answer above potential rent is a sign of a sign error.

Common Mistakes to Avoid

  • -Reporting EGI as NOI
  • -Forgetting the vacancy and collection deduction
  • -Adding expenses to income

Concept Deep Dive

Analysis

This question tests the basic path from potential rent to NOI when the vacancy and collection loss is given in dollars. Subtract the loss to get EGI, then subtract operating expenses to get NOI. The distractors skip a deduction or add expenses instead of subtracting them.

Background Knowledge

Potential gross income less vacancy and collection loss equals effective gross income. EGI less operating expenses equals net operating income. Debt service, depreciation and income taxes are not operating expenses.

Real-World Application

An appraiser valuing a fourplex estimates annual market rent, deducts a dollar allowance for vacancy and bad debts, and subtracts taxes, insurance, repairs and management to estimate NOI.

potential gross incomevacancy and collection losseffective gross incomenet operating income
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