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Cost ApproachMEDIUM13.6% of exam

Improvement cost new is $540,000. Separately supported improvement depreciation deductions of $38,000, $22,000 are expressly nonoverlapping and not already excluded from cost new. Add supported site value of $98,000, already reflecting any site losses. What total indicated value results?

Correct Answer

B) $578,000

540000−(38000+22000)+98000 = 578000. Common errors: leaving out the site value gives $480,000; leaving out the $22,000 item gives $600,000; not deducting any depreciation gives $638,000.

Answer Options
A
$480,000
B
$578,000
C
$600,000
D
$638,000

Why This Is the Correct Answer

Option B is correct because total depreciation is $38,000 + $22,000 = $60,000, and $540,000 − $60,000 + $98,000 = $578,000. Total depreciation is found by adding the individual supported estimates, and the site value is then added to the depreciated improvement cost.

Why the Other Options Are Wrong

Option A: $480,000

Option A is wrong because $480,000 is $540,000 − ($38,000 + $22,000), which leaves out the $98,000 site value. The correct total is $480,000 + $98,000 = $578,000.

Option C: $600,000

Option C is wrong because $600,000 results from $540,000 − $38,000 + $98,000, which leaves out the $22,000 depreciation item. Both items must be deducted: $540,000 − $60,000 + $98,000 = $578,000.

Option D: $638,000

Option D is wrong because $638,000 is $540,000 + $98,000 with no depreciation deducted. Subtracting the $60,000 of depreciation gives $578,000.

Cost minus loss plus land

The cost approach runs in order: cost new, minus all depreciation, plus land or site value. Skipping any of the three steps produces a wrong answer.

How to use: Use this sequence to check that a cost approach calculation has deducted all losses and added the site.

Exam Tip

Before you calculate, list each stated depreciation item and confirm whether the site is to be added. Distractors are often built by dropping one item.

Common Mistakes to Avoid

  • -Forgetting to add the site value at the end
  • -Deducting only some of the stated depreciation items
  • -Reporting cost new plus site with no depreciation deducted

Concept Deep Dive

Analysis

This question tests the basic cost approach sequence: cost new, less total depreciation, plus site value. The depreciation items are stated as nonoverlapping and not already excluded, so both are deducted in full. Site value is added at the end because it already reflects any site losses.

Background Knowledge

The cost approach estimates value as the cost new of the improvements, less accrued depreciation from all causes, plus the value of the site. When depreciation is broken down into separate items, the total is the sum of the individual estimates, provided they do not overlap. The site is valued separately, typically as if vacant.

Real-World Application

An appraiser estimates a home's replacement cost new at $540,000 and supports separate deductions for roof wear and a dated kitchen. After subtracting both and adding the site value from land sales, the appraiser reports the cost approach indication.

cost approachaccrued depreciationsite valuebreakdown methodcost new
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