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Cost Approachmedium13.6% of exam

Using extraction, three sales of 20-year-old homes show about 20% total depreciation. The implied straight-line annual rate is:

Correct Answer

D) 1.0% per year of age

Why this is correct: The governing concept is converting total depreciation percentage into an annual straight-line rate. If 20-year-old homes show 20% total depreciation, the annual rate is Total Depreciation Percentage divided by Effective Age: 20% / 20 years = 1% per year. Why the other choices are wrong: "0.5% per year of age" is wrong; this would be 20% / 40 years. "2.0% per year of age" is wrong; this would be 20% / 10 years. "4.0% per year of age" is wrong; this would be 20% / 5 years. Exam tip: For straight-line, annual rate = (Total Depreciation %) / (Effective Age). This implies a total economic life of 100 years (100% / 1% per year).

Answer Options
A
0.5% per year of age
B
2.0% per year of age
C
4.0% per year of age
D
1.0% per year of age

Why This Is the Correct Answer

Why this is correct: The governing concept is converting total depreciation percentage into an annual straight-line rate. If 20-year-old homes show 20% total depreciation, the annual rate is Total Depreciation Percentage divided by Effective Age: 20% / 20 years = 1% per year. Why the other choices are wrong: "0.5% per year of age" is wrong; this would be 20% / 40 years. "2.0% per year of age" is wrong; this would be 20% / 10 years. "4.0% per year of age" is wrong; this would be 20% / 5 years. Exam tip: For straight-line, annual rate = (Total Depreciation %) / (Effective Age). This implies a total economic life of 100 years (100% / 1% per year).

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