A 15-year-old building has a total economic life of 60 years. Using the age-life method, what percentage of depreciation has occurred?
Correct Answer
A) 25%
Using the age-life method, depreciation percentage = (Actual age ÷ Total economic life) × 100. (15 ÷ 60) × 100 = 25%.
Why This Is the Correct Answer
Option A (25%) is correct because the age-life method formula is: (Actual Age ÷ Total Economic Life) × 100. Substituting the given values: (15 years ÷ 60 years) × 100 = 0.25 × 100 = 25%. This means that 25% of the building's economic life has elapsed, resulting in 25% depreciation. The calculation is straightforward division followed by conversion to a percentage.
Why the Other Options Are Wrong
Option B: 75%
Option B (75%) represents the remaining useful life percentage, not the depreciation percentage. This would be calculated as (45 remaining years ÷ 60 total years) × 100 = 75%. Students often confuse depreciation occurred with remaining useful life, but the question specifically asks for depreciation that has occurred.
Option C: 20%
Option C (20%) results from an incorrect calculation, possibly from using 12 years instead of 15 years as the actual age (12 ÷ 60 = 20%). This could occur from misreading the problem or making an arithmetic error in the numerator of the fraction.
Option D: 4%
Option D (4%) appears to result from inverting the fraction and calculating 15 ÷ 375 (possibly 15 ÷ 60 ÷ 100 instead of 15 ÷ 60 × 100). This represents a fundamental misunderstanding of the percentage calculation process.
Age Over Life Times 100
AOL-100: Age Over Life times 100. Remember AOL (the old internet service) - just like connecting to the internet, you need to divide your current age by your total life expectancy and multiply by 100 to get your 'life percentage used up.'
How to use: When you see an age-life depreciation question, immediately think 'AOL-100' and set up the fraction: building's current age on top, total economic life on bottom, then multiply by 100 for the percentage.
Exam Tip
Always double-check that you're calculating depreciation occurred (what the question usually asks for) rather than remaining useful life - they're complementary percentages that add up to 100%.
Common Mistakes to Avoid
- -Calculating remaining useful life instead of depreciation occurred
- -Forgetting to multiply by 100 to convert to percentage
- -Inverting the fraction (putting economic life over actual age)
Concept Deep Dive
Analysis
The age-life method is a fundamental depreciation calculation technique used in the cost approach to real estate valuation. This method assumes that depreciation occurs at a steady, linear rate over the economic life of a building. The concept is based on the principle that as a building ages, it loses value proportionally to the percentage of its useful life that has elapsed. This straightforward calculation provides appraisers with a baseline estimate of physical deterioration and functional obsolescence that can be adjusted based on the actual condition of the property.
Background Knowledge
The age-life method assumes straight-line depreciation over the economic life of a building, meaning equal amounts of value are lost each year. Economic life refers to the period during which a building contributes to property value, which may differ from physical life. This method provides a starting point for depreciation estimates that appraisers can adjust based on actual property conditions, maintenance levels, and market factors.
Real-World Application
In practice, appraisers use the age-life method as a starting point for estimating depreciation in the cost approach, then adjust based on actual property condition, quality of construction, maintenance history, and functional or external obsolescence factors that may cause depreciation to occur faster or slower than the straight-line assumption.
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