A property has an actual age of 15 years but an effective age of 10 years. The total economic life is estimated at 60 years. What is the remaining economic life?
Correct Answer
B) 50 years
Remaining economic life is calculated as total economic life minus effective age. In this case: 60 years - 10 years (effective age) = 50 years remaining economic life.
Why This Is the Correct Answer
Option B is correct because remaining economic life is calculated by subtracting the effective age from the total economic life. The effective age of 10 years (not the actual age of 15 years) is the relevant figure because it represents the property's functional condition. Therefore: 60 years (total economic life) - 10 years (effective age) = 50 years remaining economic life. This calculation reflects how much useful life the property has left based on its current condition.
Why the Other Options Are Wrong
Option A: 45 years
This incorrectly uses actual age instead of effective age in the calculation (60 - 15 = 45), which ignores the property's better-than-expected condition reflected in the lower effective age.
Option C: 55 years
This appears to subtract effective age from total economic life incorrectly, possibly confusing the relationship between the variables or making an arithmetic error.
Option D: 60 years
This ignores depreciation entirely and assumes the property retains its full economic life, which contradicts the concept that effective age reduces remaining economic life.
TREE Method
TREE: Total minus Remaining equals Effective. Rearranged: Total - Effective = Remaining. Think of a tree's life cycle - the total lifespan minus how much it has 'effectively' aged equals how much life remains.
How to use: When you see remaining economic life questions, immediately identify the TREE components: find Total economic life, subtract Effective age (not actual age), and you get Remaining economic life.
Exam Tip
Always use effective age, not actual age, when calculating remaining economic life - this is the most common trap in these questions.
Common Mistakes to Avoid
- -Using actual age instead of effective age in calculations
- -Confusing remaining economic life with remaining physical life
- -Adding instead of subtracting when calculating remaining economic life
Concept Deep Dive
Analysis
This question tests understanding of depreciation concepts in real estate appraisal, specifically the relationship between actual age, effective age, total economic life, and remaining economic life. Effective age reflects the property's condition and functionality rather than its chronological age, which is why it can differ from actual age. The remaining economic life calculation is fundamental to the cost approach and depreciation analysis. Understanding these temporal relationships is crucial for accurate property valuation and determining how much useful life a property has left.
Background Knowledge
Effective age represents the age of a property based on its condition and utility, which may differ from actual chronological age due to maintenance, renovations, or deterioration. Total economic life is the period over which a property is expected to contribute to property value, while remaining economic life is the portion of total economic life that remains.
Real-World Application
An appraiser evaluating a well-maintained 15-year-old home might determine it has an effective age of only 10 years due to recent updates and excellent maintenance, meaning it will contribute to property value for 50 more years rather than just 45 years based on chronological age alone.
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