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Cost ApproachMEDIUM13.6% of exam

Direct and indirect improvement costs total $340,000, excluding entrepreneurial incentive. The separately supported incentive is 12% of that stated base and is not included elsewhere. What total improvement cost new results?

Correct Answer

C) $380,800

340000×1.12 = 380800. Common errors: leaving out the entrepreneurial incentive gives $340,000; reporting only the incentive gives $40,800; grossing up by dividing by 0.88 instead of adding 12% of the base gives $386,364.

Answer Options
A
$40,800
B
$340,000
C
$380,800
D
$386,364

Why This Is the Correct Answer

Option C is correct because the incentive is 12% of the stated $340,000 base, or $40,800. Adding it to the base gives $340,000 x 1.12 = $380,800 of total improvement cost new.

Why the Other Options Are Wrong

Option A: $40,800

Option A, $40,800, is only the incentive: $340,000 x 0.12 = $40,800. The question asks for total cost new, which is $340,000 + $40,800 = $380,800.

Option B: $340,000

Option B, $340,000, leaves out the entrepreneurial incentive entirely. Adding the supported 12% incentive gives $380,800.

Option D: $386,364

Option D, $386,364, grosses up by dividing: $340,000 / 0.88 = $386,364. That would make the incentive 12% of the total rather than 12% of the stated base; the correct figure is $340,000 x 1.12 = $380,800.

Percent Of What

Ask: percent of what? If it is a percent of the base, multiply the base by one plus the rate.

How to use: Use this question whenever an incentive or fee is given as a percentage.

Exam Tip

Read whether the percentage applies to the stated base or to the final total. That one detail separates the multiply and divide answers.

Common Mistakes to Avoid

  • -Reporting the incentive alone as total cost
  • -Dividing by one minus the rate when the rate applies to the base
  • -Leaving out a supported incentive

Concept Deep Dive

Analysis

This question tests applying an entrepreneurial incentive stated as a percentage of a given cost base. The incentive is 12% of the $340,000 base, so multiply the base by 1.12. Dividing by 0.88 would compute a different, gross-up percentage.

Background Knowledge

Entrepreneurial incentive is the market-supported reward a developer expects for the effort and risk of a project. It may be expressed as a percentage of different bases, so the appraiser must apply it to the base the evidence specifies.

Real-World Application

An appraiser learns from local developers that they expect a profit of about 12 percent of direct and indirect costs. She multiplies her cost estimate by 1.12 to reach full cost new.

entrepreneurial incentivecost basepercentagefull economic costcost new
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