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Sales Comparisonhard16.4% of exam

Sale A ($302,000) and Sale B ($311,000) are identical except B has a third bathroom and closed six months later in a market rising 4% per year. What does the pair indicate for the bathroom?

Correct Answer

C) $2,960, after removing the time effect

Why this is correct: First, adjust Sale A for market movement. A 4% annual rate equals 2% for six months. $302,000 × 1.02 = $308,040. The price difference after time adjustment is $311,000 - $308,040 = $2,960, which is attributed to the bathroom. Why the other choices are wrong: $9,000 is the raw price difference ignoring time. $15,040 incorrectly adds the time adjustment instead of subtracting it. $4,500 is an arbitrary split with no analytical basis. Exam tip: In paired analysis with a time difference, always time-adjust the older sale to the date of the newer sale first.

Answer Options
A
$9,000, the raw difference in prices
B
$15,040, adding the market movement
C
$2,960, after removing the time effect
D
$4,500, splitting the difference evenly

Why This Is the Correct Answer

Why this is correct: First, adjust Sale A for market movement. A 4% annual rate equals 2% for six months. $302,000 × 1.02 = $308,040. The price difference after time adjustment is $311,000 - $308,040 = $2,960, which is attributed to the bathroom. Why the other choices are wrong: $9,000 is the raw price difference ignoring time. $15,040 incorrectly adds the time adjustment instead of subtracting it. $4,500 is an arbitrary split with no analytical basis. Exam tip: In paired analysis with a time difference, always time-adjust the older sale to the date of the newer sale first.

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