A building cost $800,000 to construct and has an economic life of 40 years. Using straight-line depreciation, what is the annual depreciation amount?
Correct Answer
C) $20,000
Why this is correct: Straight-line depreciation spreads the total cost evenly over the economic life. The formula is Annual Depreciation = Cost / Economic Life. Calculation: $800,000 / 40 years = $20,000 per year. Why the other choices are wrong: '$32,000' would result from dividing by 25 years. '$25,000' would result from dividing by 32 years. '$16,000' would result from dividing by 50 years. Exam tip: For straight-line, always divide total cost by total economic life. No salvage value is subtracted unless specified.
Why This Is the Correct Answer
Option B ($20,000) is correct because it applies the straight-line depreciation formula properly: Cost ÷ Economic Life = Annual Depreciation. The calculation is $800,000 ÷ 40 years = $20,000 per year. This represents the amount by which the building's value decreases each year due to aging and wear. The straight-line method assumes equal depreciation amounts each year throughout the building's economic life.
Why the Other Options Are Wrong
Option A: $32,000
Option A ($32,000) is incorrect because it appears to use a 25-year economic life instead of the given 40 years ($800,000 ÷ 25 = $32,000), which demonstrates confusion about the depreciation period.
Option B: $25,000
Option B ($25,000) is incorrect because it uses a 32-year economic life instead of the given 40 years ($800,000 ÷ 32 = $25,000), showing an error in applying the correct time period.
Option D: $16,000
Option D ($16,000) is incorrect because it appears to use a 50-year economic life instead of the given 40 years ($800,000 ÷ 50 = $16,000), indicating confusion about the building's economic life span.
The SLIDE Formula
SLIDE: Straight-Line = Initial cost Divided by Economic life. Remember 'sliding down a straight slope at constant speed' - just like how straight-line depreciation decreases value at a constant rate each year.
How to use: When you see a straight-line depreciation question, immediately think 'SLIDE' and set up the division: total cost on top, economic life on bottom, then calculate to get annual depreciation.
Exam Tip
Always double-check that you're using the economic life (not physical life or other time periods) and that you're dividing cost by years, not multiplying - this is the most common calculation error on depreciation questions.
Common Mistakes to Avoid
- -Using physical life instead of economic life in the calculation
- -Multiplying instead of dividing (cost × life instead of cost ÷ life)
- -Confusing annual depreciation with total accumulated depreciation over multiple years
Concept Deep Dive
Analysis
This question tests the fundamental concept of straight-line depreciation in real estate appraisal, which is a critical component of the cost approach to valuation. Straight-line depreciation assumes that a building loses value at a constant rate over its economic life, making it the simplest and most commonly used depreciation method in appraisal practice. The calculation involves dividing the total construction cost by the economic life to determine the annual depreciation amount. This method is essential for appraisers to estimate the current value of improvements by accounting for physical deterioration, functional obsolescence, and external obsolescence over time.
Background Knowledge
Straight-line depreciation is one of three primary methods used in real estate appraisal (along with declining balance and sum-of-years digits) and assumes that depreciation occurs at a uniform rate over the asset's economic life. Economic life refers to the period during which a building contributes to property value, which may differ from its physical life or accounting life.
Real-World Application
Appraisers use straight-line depreciation when applying the cost approach to value older buildings, helping determine how much value has been lost since construction and what the current replacement cost minus depreciation equals in today's market.
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