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Sales ComparisonMEDIUM16.4% of exam

A comparable apartment has an elevator and the subject does not. Market rents show a $6,000 annual rent difference, and the market capitalization rate is 7.5%. Using capitalization of the rent difference, what adjustment applies to the comparable?

Correct Answer

A) −$80,000

The rent difference is capitalized: $6,000 ÷ 0.075 = $80,000. The comparable is superior, so the adjustment is negative. Multiplying by the rate, misplacing the rate’s decimal or using one year’s rent are errors.

Answer Options
A
−$80,000
B
−$45,000
C
−$8,000
D
−$6,000

Why This Is the Correct Answer

Option A is correct because the $6,000 annual rent difference is capitalized by dividing by the 7.5% rate: $6,000 ÷ 0.075 = $80,000. The comparable is superior because it has the elevator, so its price is adjusted down by $80,000.

Why the Other Options Are Wrong

Option B: −$45,000

Option B is wrong because −$45,000 comes from multiplying the rent difference by the rate written as a whole number: $6,000 × 7.5 = $45,000. Capitalization divides income by the rate, $6,000 ÷ 0.075 = $80,000, so the adjustment is −$80,000.

Option C: −$8,000

Option C is wrong because −$8,000 divides by 0.75 instead of 0.075: $6,000 ÷ 0.75 = $8,000. A 7.5% rate is 0.075, so $6,000 ÷ 0.075 = $80,000, giving −$80,000.

Option D: −$6,000

Option D is wrong because −$6,000 uses only one year's rent difference rather than capitalizing it. The rent difference must be converted to value, $6,000 ÷ 0.075 = $80,000, giving −$80,000.

IRV: Value Equals Income Over Rate

In IRV, Income ÷ Rate = Value, so divide the rent difference by the cap rate to get the value difference.

How to use: Use IRV whenever a question converts an income or rent difference into a dollar adjustment.

Exam Tip

Convert the percentage rate to a decimal before dividing, and then set the sign by asking whether the comparable is superior or inferior.

Common Mistakes to Avoid

  • -Multiplying the rent difference by the cap rate instead of dividing
  • -Using one year's rent difference as the adjustment
  • -Converting 7.5% to 0.75 instead of 0.075

Concept Deep Dive

Analysis

This question tests capitalizing a rent difference into a value adjustment. An annual rent difference caused by a feature is divided by a market capitalization rate to estimate its value effect. The comparable has the elevator and the subject does not, so the adjustment to the comparable is negative.

Background Knowledge

Capitalization of a rent difference converts a permanent difference in income into a value difference using direct capitalization, value equals income divided by rate. It is often used for physical differences such as an elevator. Both the rent difference and the capitalization rate should be market supported.

Real-World Application

An appraiser values a walk-up apartment building, and one comparable has an elevator. Market rents show elevator buildings earn about $6,000 more per year, and the market cap rate is 7.5%. She capitalizes the difference to $80,000 and subtracts it from the comparable.

capitalization of rent differencedirect capitalizationcapitalization rateelevatorsuperior comparable
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