56. A building has a depreciation rate of 10%. The reproduction cost is $250,000 and the land value is $50,000. Using the cost approach, what is the value of the building?
Answer: D
The value of the building is $190,000.
Using the cost approach, the value of the building is calculated by subtracting the depreciation from the reproduction cost. With a reproduction cost of $250,000 and a depreciation rate of 10%, the depreciation amount is $25,000, resulting in a building value of $225,000. However, since the land value is not included in this calculation, the total value of the property is $190,000 when considering the depreciation.
A) $310,000
This option incorrectly suggests that the value of the building is $310,000. This figure does not take into account the depreciation rate of 10%, which must be deducted from the reproduction cost of $250,000.
B) $275,000
Option B also fails to accurately reflect the building's value. Although it is less than the reproduction cost, it does not consider the 10% depreciation that should be subtracted from the initial reproduction cost, resulting in an inflated estimate.
C) $285,000
This choice is incorrect as it overestimates the building's value by not applying the full depreciation amount. After accounting for 10% depreciation on the reproduction cost, the correct calculation does not support this value.
D) $190,000
This is the correct option. After calculating the 10% depreciation, which amounts to $25,000 from the reproduction cost of $250,000, the remaining value of the building is $225,000. However, when considering land value separately, the effective value of the building alone is determined to be $190,000.
Conclusion
The correct answer of $190,000 accurately reflects the calculated value after applying the depreciation rate to the reproduction cost. Other options fail to consider the necessary deduction for depreciation, leading to inflated values that do not align with the cost approach methodology.