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Cost ApproachMEDIUM13.6% of exam

An appraiser using the breakdown method has identified curable items, separately treated short-lived components and long-lived components. In what sequence should the long-lived depreciation ratio be applied?

Correct Answer

D) Treat those components first, then apply the long-lived ratio to the remaining cost.

In the breakdown method, remove curable items and separately priced short-lived components before applying a long-lived ratio to the remaining cost. Fixed dollar deductions commute, but percentage bases must match. USPAP does not mandate this as a universal ordering for every loss measurement.

Answer Options
A
Apply the long-lived ratio to the original cost and deduct the same components again.
B
Ignore the cost base because percentages work like fixed-dollar deductions.
C
Deduct the external losses first, before the measured physical items.
D
Treat those components first, then apply the long-lived ratio to the remaining cost.

Why This Is the Correct Answer

Option D is correct because the long-lived ratio is based on the remainder after curable and separately treated short-lived components are removed. Treating those components first and then applying the ratio to that remainder matches the stated base and avoids double depreciation of short-lived items.

Why the Other Options Are Wrong

Option A: Apply the long-lived ratio to the original cost and deduct the same components again.

Option A applies the long-lived ratio to the original cost and deducts the same components again. That uses the wrong base and charges the curable and short-lived components twice.

Option B: Ignore the cost base because percentages work like fixed-dollar deductions.

Option B ignores the cost base on the claim that percentages work like fixed-dollar deductions. Fixed dollar deductions can be taken in any order, but a percentage gives a different result depending on the base it is applied to.

Option C: Deduct the external losses first, before the measured physical items.

Option C deducts the external losses first, before the measured physical items. The stated base for the long-lived ratio is the cost remaining after curable and short-lived components, so external loss does not come first.

Match the Percent to Its Base

A percentage only works on the base it was defined for. Remove the separately treated items first, then apply the long-lived ratio to what is left.

How to use: Use this whenever a breakdown problem defines a ratio on a remainder.

Exam Tip

When a question defines the base for a percentage, follow that base exactly; dollar amounts can be reordered but percentages cannot.

Common Mistakes to Avoid

  • -Applying the long-lived ratio to total cost new
  • -Depreciating short-lived items twice
  • -Assuming percentage deductions can be taken in any order

Concept Deep Dive

Analysis

This question tests matching a percentage to its defined base in a breakdown analysis. When the long-lived ratio is defined on the cost remaining after curable and short-lived items are removed, those items must be treated first. Applying the ratio to the full cost would double depreciate the short-lived components.

Background Knowledge

In the breakdown method, physical deterioration is calculated separately for short-lived and long-lived components to avoid double depreciating the short-lived items. The age-life ratio for long-lived items is applied to the cost of those items only. Total depreciation is the sum of the separate, nonoverlapping estimates.

Real-World Application

An appraiser using the breakdown method first prices curable repairs and depreciates the roof and HVAC as short-lived items. She then applies the long-lived age-life ratio only to the remaining structural cost.

breakdown methodshort-lived componentslong-lived componentscurable deteriorationdouble depreciation
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