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Sales ComparisonMEDIUM16.4% of exam

A comparable property of 20,000 sf sold for a cash-equivalent price of $2,400,000. The subject contains 18,000 sf. The two properties match in property rights, market and method of measuring area, and market data show that the comparable's overall price per square foot applies to the subject. What value does this indicate for the subject?

Correct Answer

B) $2,160,000

2400000÷20000×18000=2160000. Common errors: using the comparable price without adjusting for size gives $2,400,000; inverting the size ratio gives $2,666,667; misplacing the decimal in the subject area gives $216,000.

Answer Options
A
$216,000
B
$2,160,000
C
$2,400,000
D
$2,666,667

Why This Is the Correct Answer

Option B is correct because the comparable's unit price is $2,400,000 ÷ 20,000 sf = $120 per sf. Applying the unit price to the 18,000 sf subject gives $120 × 18,000 = $2,160,000. This states the sale in a unit of comparison and applies it to the subject.

Why the Other Options Are Wrong

Option A: $216,000

Option A, $216,000, results from misplacing the decimal in the subject area: $120 × 1,800 = $216,000. The subject has 18,000 sf, so the indication is $120 × 18,000 = $2,160,000.

Option C: $2,400,000

Option C, $2,400,000, uses the comparable's price without accounting for the size difference. Applying the $120 per sf unit price to the 18,000 sf subject gives $2,160,000.

Option D: $2,666,667

Option D, $2,666,667, inverts the size ratio: $2,400,000 ÷ 18,000 × 20,000 ≈ $2,666,667. The correct calculation divides by the comparable's 20,000 sf and multiplies by the subject's 18,000 sf.

Divide by comp, multiply by subject

Comp price divided by comp size gives the unit price; unit price times subject size gives the indication.

How to use: Use this order of operations for any price-per-unit application.

Exam Tip

Do a quick reasonableness check: a smaller subject at the same unit price should indicate less than the comparable's price.

Common Mistakes to Avoid

  • -Inverting the size ratio
  • -Using the comparable's total price without converting to a unit price
  • -Dropping a zero in the subject's area

Concept Deep Dive

Analysis

This question tests applying a unit price from a comparable to the subject's size. Because market data show that the overall price per square foot applies to the subject, the appraiser converts the comparable's price to a unit price and multiplies by the subject's area. This is an overall rate, not a marginal size adjustment.

Background Knowledge

Units of comparison, such as price per square foot or per acre, let appraisers compare sales of different sizes. The appraiser computes each sale price in the unit and applies a market-supported unit value to the subject. In practice, an overall unit price may not equal the marginal value of extra area, which is why the question states that the overall rate applies.

Real-World Application

An appraiser values an 18,000 sf warehouse using a recent 20,000 sf sale in the same market. After confirming that buyers price such buildings by the square foot and that the overall rate applies, the appraiser converts the sale to a price per square foot and applies it to the subject.

unit of comparisonprice per square footunit pricesales comparison approach
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