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Cost ApproachHARD13.6% of exam

Improvement cost new is $352,000. Separately supported improvement depreciation deductions of $44,000, $12,000, $9,000 are expressly nonoverlapping and not already excluded from cost new. Add supported site value of $120,000, already reflecting any site losses. What total indicated value results?

Correct Answer

B) $407,000

352000−(44000+12000+9000)+120000 = 407000. Common errors: leaving out the site value gives $287,000; deducting only the largest depreciation item gives $428,000; not deducting any depreciation gives $472,000.

Answer Options
A
$287,000
B
$407,000
C
$428,000
D
$472,000

Why This Is the Correct Answer

Option B is correct because total depreciation is the sum of the separate estimates: $44,000 + $12,000 + $9,000 = $65,000. Then $352,000 − $65,000 = $287,000 depreciated improvements, plus $120,000 site value equals $407,000.

Why the Other Options Are Wrong

Option A: $287,000

Option A, $287,000, is only the depreciated improvement value ($352,000 − $65,000). It leaves out the $120,000 site value; adding it gives $407,000.

Option C: $428,000

Option C, $428,000, deducts only the largest item ($352,000 − $44,000 + $120,000). The three deductions are nonoverlapping, so all $65,000 must be deducted: $352,000 − $65,000 + $120,000 = $407,000.

Option D: $472,000

Option D, $472,000, adds site value to cost new with no depreciation ($352,000 + $120,000). The supported $65,000 total depreciation must be subtracted, giving $407,000.

Cost minus loss plus land

Cost new, minus all supported depreciation added together, plus site value. Three steps, in that order.

How to use: Use this sequence to set up any cost approach total before you touch a calculator.

Exam Tip

When a question lists several depreciation amounts and says they do not overlap, add them all. Then check that the answer includes the site value if the question asks for a total indicated value.

Common Mistakes to Avoid

  • -Forgetting to add the site value
  • -Deducting only one of several depreciation items
  • -Skipping the depreciation deduction entirely

Concept Deep Dive

Analysis

This question tests the cost approach formula with several separate depreciation items. Because the deductions are nonoverlapping, all of them are added together and subtracted from cost new. The depreciated improvement value is then added to the site value.

Background Knowledge

In the breakdown method, total depreciation equals the sum of the individual estimates of physical, functional and external depreciation. The cost approach indication is cost new less total depreciation, plus site value. Site value is estimated separately and should already reflect any losses attributable to the site.

Real-World Application

An appraiser estimates separate physical, functional and external depreciation for an older home and confirms none double counts another. The appraiser sums them, deducts the total from cost new and adds the site value to reach the cost approach indication.

cost approachbreakdown methodtotal depreciationsite valuecost new
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