A building with a total economic life of 50 years and an effective age of 20 years has a remaining economic life of:
Correct Answer
B) 30 years
Remaining economic life equals total economic life minus effective age: 50 years - 20 years = 30 years. This represents the period over which improvements are expected to contribute to property value.
Why This Is the Correct Answer
Option B is correct because remaining economic life is calculated using the simple formula: Total Economic Life - Effective Age = Remaining Economic Life. In this case, 50 years - 20 years = 30 years. This 30-year period represents the future time during which the building improvements are expected to continue contributing value to the property. The calculation is straightforward and fundamental to depreciation analysis in the cost approach to valuation.
Why the Other Options Are Wrong
Option A: 20 years
Option A incorrectly suggests the remaining economic life equals the effective age (20 years), which would mean the building has already used up 60% of its useful life and only has 40% remaining, but this contradicts the basic mathematical relationship between these variables.
Option C: 50 years
Option C incorrectly suggests the remaining economic life equals the total economic life (50 years), which would imply the building has no effective age and is brand new, contradicting the given information that it has an effective age of 20 years.
Option D: 70 years
Option D incorrectly adds the effective age to the total economic life (20 + 50 = 70), which has no basis in appraisal theory and would suggest the building could contribute value longer than its total economic life, which is logically impossible.
The TEAR Formula
TEAR: Total Economic life - Age (effective) = Remaining economic life. Remember 'TEAR' because time literally tears away at a building's remaining useful life.
How to use: When you see any question about remaining economic life, immediately think 'TEAR' and set up the subtraction: Total - Age = Remaining. This works for any variation of the question, whether they're asking for remaining life, effective age, or total economic life.
Exam Tip
Always double-check your arithmetic on these calculations, as they're often straightforward math problems disguised as complex appraisal concepts. Write down the formula before calculating to avoid simple errors.
Common Mistakes to Avoid
- -Confusing effective age with chronological age
- -Adding instead of subtracting when calculating remaining economic life
- -Assuming remaining economic life equals effective age
Concept Deep Dive
Analysis
This question tests the fundamental relationship between three critical depreciation concepts in real estate appraisal: total economic life, effective age, and remaining economic life. Total economic life represents the entire period during which a building is expected to contribute value to the property, while effective age reflects the building's condition and functionality relative to its chronological age. Remaining economic life is the future period during which the improvements will continue to contribute to property value. Understanding this relationship is essential for calculating depreciation using the age-life method and determining the contributory value of improvements.
Background Knowledge
Appraisers must understand that effective age represents the age of a building based on its condition and utility rather than its actual chronological age, and can be influenced by maintenance, renovations, and functional obsolescence. The relationship between total economic life, effective age, and remaining economic life is fundamental to calculating accrued depreciation using the age-life method in the cost approach.
Real-World Application
An appraiser evaluating a 15-year-old office building that has been well-maintained might determine it has an effective age of only 10 years due to recent renovations. If the total economic life for this building type is 40 years, the remaining economic life would be 30 years, which directly impacts the depreciation calculation and ultimately the building's contributory value in the cost approach.
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