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Cost ApproachMEDIUM13.6% of exam

Building cost new is $410,000 and total building depreciation $90,000. Separate site improvements are already valued as-is at $35,000 and are not in the building figures. Add supported vacant-site value $100,000, which excludes those improvements. What total results?

Correct Answer

C) $455,000

410000−90000+35000+100000 = 455000. Common errors: leaving out the vacant-site value gives $355,000; leaving out the as-is site improvements gives $420,000; adding the building depreciation instead of deducting it gives $635,000.

Answer Options
A
$355,000
B
$420,000
C
$455,000
D
$635,000

Why This Is the Correct Answer

Option C is correct because the depreciated building is $410,000 - $90,000 = $320,000. Adding $35,000 of as-is site improvements and the $100,000 vacant-site value gives $455,000.

Why the Other Options Are Wrong

Option A: $355,000

Option A, $355,000, leaves out the vacant-site value: $410,000 - $90,000 + $35,000 = $355,000. Adding the $100,000 site gives $455,000.

Option B: $420,000

Option B, $420,000, leaves out the as-is site improvements: $410,000 - $90,000 + $100,000 = $420,000. Adding the $35,000 site improvements gives $455,000.

Option D: $635,000

Option D, $635,000, adds the building depreciation instead of deducting it: $410,000 + $90,000 + $35,000 + $100,000 = $635,000. The correct result is $410,000 - $90,000 + $35,000 + $100,000 = $455,000.

Three Boxes, One Total

Picture three boxes: depreciated building, as-is site extras, vacant land. Fill each once and add them.

How to use: Use this picture when site improvements and land are listed separately.

Exam Tip

When the stem says the site value excludes the site improvements, both must be added.

Common Mistakes to Avoid

  • -Omitting site improvements because the land value is included
  • -Adding building depreciation instead of subtracting it
  • -Leaving out the vacant-site value

Concept Deep Dive

Analysis

This question tests a cost summation with depreciated building cost, separately valued site improvements and vacant-site value. Deduct the building depreciation, then add the site improvements and land, since neither is included in the building figures.

Background Knowledge

The cost approach summary separates the dwelling, the as-is site improvements and the site value. Because the vacant-site value excludes the site improvements, both are added without double counting.

Real-World Application

An appraiser valuing a rural home lists a well, septic system and driveway as site improvements at their as-is contribution. She adds them to the depreciated dwelling cost and a vacant-land value from acreage sales.

site improvementsvacant site valuebuilding depreciationcost approachas-is value
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