An appraiser judges the effective age of a house to be 15 years. If its total economic life is 60 years, what is its remaining economic life?
Correct Answer
B) 45 years
60−15 = 45 years remaining. Common errors: adding effective age to total life instead of subtracting gives 75 years; reading the 15/60 age-life ratio (25%) as years gives 25 years; reporting the total economic life gives 60 years.
Why This Is the Correct Answer
Option B is correct because remaining life equals total economic life minus effective age. Here that is 60 - 15 = 45 years.
Why the Other Options Are Wrong
Option A: 25 years
Option A, 25 years, is wrong because it reads the age-life ratio, 15 / 60 = 25%, as a number of years. That ratio measures depreciation, not life; remaining life is 60 - 15 = 45 years.
Option C: 60 years
Option C, 60 years, is wrong because it reports the total economic life rather than what remains. Subtracting the 15-year effective age gives 45 years.
Option D: 75 years
Option D, 75 years, is wrong because it adds effective age to total life (60 + 15) instead of subtracting it. The correct remaining life is 60 - 15 = 45 years.
Used plus left equals whole
Effective age is life used, remaining life is life left, and the two add up to total economic life.
How to use: Use this to find any one of the three life figures from the other two.
Exam Tip
Before calculating, note which of the three life figures is unknown. Distractors repeat a given figure, add when you should subtract, or turn a ratio into years.
Common Mistakes to Avoid
- -Adding effective age to total life
- -Reading the age-life ratio as a number of years
- -Reporting total economic life as remaining life
Concept Deep Dive
Analysis
This question tests the age-life identity: total economic life equals effective age plus remaining life. Solving for remaining life gives total life minus effective age. With 60 years total and 15 years effective age, remaining life is 45 years.
Background Knowledge
Effective age reflects an improvement's condition and utility compared with typical properties, and remaining economic life is the period over which it is expected to keep contributing to value. Together they equal total economic life, which is the basis of the age-life method.
Real-World Application
An appraiser judges a well-kept house to have an effective age of 15 years and a typical 60-year economic life. The appraiser reports about 45 years of remaining economic life to support the age-life depreciation estimate.
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