The subject dwelling has an estimated total economic life of 55 years and an effective age of 22 years. What is the remaining economic life?
Correct Answer
B) 33 years
55−22 = 33 years remaining. Common errors: adding effective age to total life instead of subtracting gives 77 years; reporting the effective age instead of the remaining life gives 22 years; reporting the total economic life gives 55 years.
Why This Is the Correct Answer
Option B is correct because remaining life = total economic life - effective age = 55 - 22 = 33 years.
Why the Other Options Are Wrong
Option A: 22 years
Option A, 22 years, is the effective age, not the remaining life. Remaining life is 55 - 22 = 33 years.
Option C: 55 years
Option C, 55 years, is the total economic life, not the remaining life. Subtracting the 22-year effective age gives 33 years.
Option D: 77 years
Option D, 77 years, adds effective age to total life instead of subtracting: 55 + 22 = 77. The identity gives remaining life as 55 - 22 = 33 years.
Used plus left equals total
Effective age is life used, remaining life is life left, and together they equal total economic life.
How to use: Use this identity to solve for whichever of the three life figures is missing.
Exam Tip
Identify which life figure the question asks for before computing; the given figures often appear as distractors.
Common Mistakes to Avoid
- -Adding effective age to total life
- -Reporting effective age as remaining life
- -Confusing total economic life with remaining economic life
Concept Deep Dive
Analysis
This question tests the economic life relationship: total economic life equals effective age plus remaining economic life. Rearranging gives remaining life = total life - effective age. The candidate must identify which figure is asked for.
Background Knowledge
In the age-life framework, effective age plus remaining economic life equals total economic life. Depreciation under the age-life method is estimated by dividing effective age by total economic life, so these three figures are closely linked.
Real-World Application
An appraiser estimates a 55-year total economic life for a house type and concludes an effective age of 22 years. The appraiser reports a remaining economic life of 33 years and an age-life depreciation ratio of 22/55.
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Previous Question
Direct and indirect costs of the improvements total $350,000, which excludes a separate incentive equal to 10% of that amount. Total depreciation is estimated at 20% of the full cost including the incentive, and the site value is $180,000. What is the indicated value by the cost approach?
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A supported internal bathroom-utility deficiency has a physically feasible correction whose full benefit justifies full cost. How is it classified?
