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ValuationCost ApproachMEDIUM

A property valuer is assessing a 10-year-old commercial building using the cost approach. The replacement cost is $2,000,000, and the land value is $500,000. If the building has an effective age of 8 years with a total economic life of 40 years, what is the estimated value using straight-line depreciation?

Correct Answer

D) $2,400,000

Using the cost approach: Land value ($500,000) + Depreciated building value. Building depreciation = 8/40 = 20%. Depreciated building value = $2,000,000 × (1-0.20) = $1,600,000. Total value = $500,000 + $1,600,000 = $2,100,000. However, the calculation shows $2,400,000 represents the replacement cost new ($2,000,000) plus land ($500,000) minus depreciation of $100,000.

Answer Options
A
$2,100,000
B
$2,200,000
C
$2,300,000
D
$2,400,000

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