Using the age-life method, what is the depreciation percentage for a building that is 15 years old with an economic life of 60 years?
Correct Answer
A) 25%
Using the age-life method, depreciation percentage = (Actual Age ÷ Economic Life) × 100. 15 ÷ 60 = 0.25 or 25%.
Why This Is the Correct Answer
Option A (25%) is correct because the age-life method formula is straightforward: divide actual age by economic life, then multiply by 100 for the percentage. In this case, 15 years ÷ 60 years = 0.25, which equals 25% when converted to a percentage. This means that after 15 years of its 60-year economic life, the building has depreciated by one-quarter of its original value. The calculation follows the standard straight-line depreciation approach used in real estate appraisal.
Why the Other Options Are Wrong
Option B: 75%
Option B (75%) represents the remaining useful life percentage, not the depreciation percentage. This is calculated as (Economic Life - Actual Age) ÷ Economic Life × 100, which would be (60-15) ÷ 60 × 100 = 75%. While this calculation is mathematically correct, it answers the wrong question - it tells us how much useful life remains rather than how much value has been lost to depreciation.
Option C: 4%
Option C (4%) appears to be the result of incorrectly dividing economic life by actual age (60 ÷ 15 = 4), which reverses the proper formula. This fundamental error in the calculation method would significantly underestimate the depreciation that has occurred over 15 years of a 60-year economic life.
Option D: 15%
Option D (15%) simply states the actual age of the building without performing any calculation. This shows a misunderstanding of what the age-life method is supposed to calculate - it's not asking for the age itself, but rather the percentage of depreciation that has occurred based on that age relative to the total economic life.
Age Over Life = Depreciation Knife
Remember 'AOL' - Age Over Life. Think of depreciation as a knife cutting away value: the older the building gets relative to its total life expectancy, the deeper the knife cuts into the original value.
How to use: When you see an age-life depreciation question, immediately think 'AOL' and set up the fraction with actual age on top and economic life on the bottom, then convert to percentage.
Exam Tip
Always double-check that you're calculating depreciation percentage (value lost) rather than remaining life percentage (value retained) - these are complementary but opposite concepts that add up to 100%.
Common Mistakes to Avoid
- -Confusing depreciation percentage with remaining useful life percentage
- -Reversing the formula by putting economic life over actual age
- -Forgetting to convert the decimal result to a percentage
Concept Deep Dive
Analysis
The age-life method is a fundamental depreciation calculation technique used in real estate appraisal to estimate the loss in value of a building due to physical deterioration and functional obsolescence over time. This method assumes that depreciation occurs at a constant rate throughout the building's economic life, creating a straight-line depreciation pattern. The calculation requires two key inputs: the actual age of the building and its total economic life expectancy. The resulting percentage represents the portion of the building's original value that has been lost due to aging and wear.
Background Knowledge
The age-life method is one of three primary approaches to calculating depreciation in real estate appraisal, alongside the breakdown method and the market extraction method. Economic life refers to the period during which a building is expected to contribute to property value, which may differ from its physical life or accounting life.
Real-World Application
Appraisers use the age-life method when comparable sales data for depreciation analysis is limited, particularly for unique or specialized properties where market extraction isn't feasible, such as schools, churches, or industrial facilities.
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