California Real Estate SalespersonProperty Valuation and Financial AnalysisHard

An appraiser is calculating total accrued depreciation for a property using the cost approach. The reproduction cost new is $400,000. The appraiser identifies $40,000 in physical deterioration, $15,000 in functional obsolescence, and $10,000 in external obsolescence. What percentage of the reproduction cost new does the total accrued depreciation represent?

  1. A16.25%
  2. B20%
  3. C13.75%
  4. D10%
Show answer & explanation

Correct answer: A. 16.25%

Total accrued depreciation = $40,000 + $15,000 + $10,000 = $65,000. Percentage = $65,000 ÷ $400,000 = 16.25%.

Why the other options are wrong

  • B. Overstates the combined depreciation percentage.
  • C. Incorrect division result.
  • D. Understates the combined depreciation total.

Total Accrued Depreciation

The sum of all forms of depreciation (physical, functional, and external) subtracted from reproduction/replacement cost new to reach depreciated value.

  • Three types: physical, functional, external
  • Total depreciation = sum of all three types
  • Percentage = Total depreciation ÷ Cost new

Memory trick: Add all three losses, then compare to cost new

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