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Cost ApproachMEDIUM13.6% of exam

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.

Answer Options
A
22 years
B
33 years
C
55 years
D
77 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.

remaining economic lifeeffective agetotal economic lifeage-life methoddepreciation
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