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An appraiser is extracting site value from a $600,000 cash sale. The seller's records show an original construction cost of $250,000 and a depreciated book value of $110,000. The appraiser estimates current replacement cost new at $400,000 and accrued depreciation from all causes at $100,000. What is the indicated site value?

Correct Answer

B) $300,000

The improvement contribution is based on current replacement cost new less market-supported depreciation: $400,000 − $100,000 = $300,000, so land is $600,000 − $300,000 = $300,000. Omitting depreciation gives $200,000. Using the seller's historic cost gives $350,000, and using book value gives $490,000; neither records figure measures what the improvements contribute at the sale date.

Answer Options
A
$200,000
B
$300,000
C
$350,000
D
$490,000

Why This Is the Correct Answer

Option B is correct because the contribution of the improvements rests on current replacement cost new less accrued depreciation: $400,000 − $100,000 = $300,000. Subtracting that from the $600,000 price leaves $300,000 for land.

Why the Other Options Are Wrong

Option A: $200,000

Option A, $200,000, comes from $600,000 − $400,000, which subtracts replacement cost new with no depreciation. That overstates the improvements by $100,000; the correct land figure is $600,000 − $300,000 = $300,000.

Option C: $350,000

Option C, $350,000, comes from $600,000 − $250,000, which uses the original construction cost. Historic cost reflects past prices, not what the improvements contribute at the sale date; the supported contribution is $300,000.

Option D: $490,000

Option D, $490,000, comes from $600,000 − $110,000, which uses the seller's book value. Book depreciation is an accounting record rather than a market measure, so the supported contribution of $300,000 applies and land is $300,000.

Current Cost, Market Depreciation

Think today's cost and the market's depreciation. Figures from the seller's books describe the past, not current contribution.

How to use: Use this phrase to sort cost figures when a problem lists more numbers than the calculation needs.

Exam Tip

When several cost figures appear, name what each one measures before using any of them. Extra figures are often there to test that judgment.

Common Mistakes to Avoid

  • -Using book value as the measure of depreciated improvements
  • -Subtracting original construction cost instead of current replacement cost
  • -Forgetting to subtract depreciation from replacement cost new

Concept Deep Dive

Analysis

Four cost-related figures are offered, and only two belong in the calculation. The candidate must separate current market measures from the seller's accounting records. Current replacement cost new and accrued depreciation produce the contribution, and the rest is noise.

Background Knowledge

In extraction, the contributory value of the improvements is typically based on depreciated cost, meaning replacement cost new less depreciation. Appraisal depreciation is a market-based measure of loss in value. Accounting book value and original cost serve other purposes and are not substitutes for it.

Real-World Application

While verifying a sale, an appraiser receives the seller's construction invoices and depreciation schedule. The appraiser notes them but develops current cost new and market-supported depreciation for the extraction.

extractionreplacement cost newaccrued depreciationbook valuehistoric cost
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