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Sales ComparisonMEDIUM16.4% of exam

A comparable sold two years ago for $400,000. Market conditions have appreciated at 3% per year, compounded annually. What is the time-adjusted sale price?

Correct Answer

B) $424,360

Why this is correct: compounding applies the second year’s rate to the first year’s result. Calculation: $400,000 × 1.03² = $400,000 × 1.0609 = $424,360. Why the other choices are wrong: $424,000 treats the two years as a simple 6%, which omits the $360 earned on the first year’s growth; $412,000 applies one year of appreciation to a sale that is two years old; $400,000 makes no adjustment at all.

Answer Options
A
$400,000
B
$424,360
C
$424,000
D
$412,000

Why This Is the Correct Answer

Why this is correct: compounding applies the second year’s rate to the first year’s result. Calculation: $400,000 × 1.03² = $400,000 × 1.0609 = $424,360. Why the other choices are wrong: $424,000 treats the two years as a simple 6%, which omits the $360 earned on the first year’s growth; $412,000 applies one year of appreciation to a sale that is two years old; $400,000 makes no adjustment at all.

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