An appraiser estimates the replacement cost of a building at $400,000, with total depreciation of $80,000 and land value of $120,000. What is the indicated value by the cost approach?
Correct Answer
A) $440,000
The cost approach calculation is: Replacement Cost ($400,000) - Total Depreciation ($80,000) + Land Value ($120,000) = $440,000. This represents the depreciated cost of improvements plus the land value.
Why This Is the Correct Answer
Option A ($440,000) correctly applies the cost approach formula: Replacement Cost - Total Depreciation + Land Value = $400,000 - $80,000 + $120,000 = $440,000. This calculation properly recognizes that the building's value is its replacement cost minus depreciation, while land is added separately since land doesn't depreciate. The formula treats improvements and land as separate components, which reflects the principle that land retains its value while buildings deteriorate over time.
Why the Other Options Are Wrong
Option B: $520,000
Option B ($520,000) incorrectly adds all three components together ($400,000 + $80,000 + $120,000), treating depreciation as an addition rather than a deduction. This fundamental error ignores the fact that depreciation represents a loss in value that must be subtracted from replacement cost.
Option C: $600,000
Option C ($600,000) appears to add replacement cost and land value while ignoring depreciation entirely ($400,000 + $120,000 + $80,000). This approach fails to account for the loss in building value due to physical deterioration, functional obsolescence, or external obsolescence.
Option D: $320,000
Option D ($320,000) incorrectly subtracts both depreciation and land value from replacement cost ($400,000 - $80,000 - $120,000). This error treats land value as a deduction when it should be added, since land is a separate asset that contributes to total property value.
RDL Formula
Remember 'RDL' - Replacement cost minus Depreciation plus Land. Think 'Really Darn Lucky' to get the land value added back after subtracting depreciation from replacement cost.
How to use: When you see a cost approach question, immediately write 'RDL' and set up the formula: R - D + L = Value. This prevents confusion about whether to add or subtract each component.
Exam Tip
Always double-check that you're subtracting depreciation (it's a loss) and adding land value (it's an asset). Write out the formula before plugging in numbers to avoid calculation errors.
Common Mistakes to Avoid
- -Adding depreciation instead of subtracting it
- -Subtracting land value instead of adding it
- -Forgetting to include land value in the final calculation
Concept Deep Dive
Analysis
This question tests the fundamental cost approach formula, one of the three primary valuation methods in real estate appraisal. The cost approach estimates property value by calculating what it would cost to replace the improvements, then subtracting any depreciation that has occurred, and finally adding the land value. This method is particularly useful for newer properties, special-use properties, or when comparable sales data is limited. Understanding this formula is essential as it forms the foundation for more complex cost approach calculations involving different types of depreciation.
Background Knowledge
The cost approach is based on the principle of substitution, which states that a rational buyer will not pay more for a property than the cost to acquire land and construct improvements of equal utility. This approach requires separate valuation of land and improvements, recognizing that while buildings depreciate over time, land typically maintains or increases in value.
Real-World Application
Appraisers commonly use the cost approach for insurance purposes, new construction, or unique properties like churches or schools where comparable sales are rare. The appraiser must estimate current construction costs, analyze all forms of depreciation, and separately value the land based on comparable land sales.
More Report Writing Questions
Under FIRREA, which federal agency has the authority to set minimum standards for real estate appraisals in federally related transactions?
What is the minimum transaction threshold for requiring a state licensed or certified appraiser under Title XI for most federally related transactions?
The Dodd-Frank Act established which requirement specifically related to appraisal independence?
Which of the following is NOT a responsibility of the Appraisal Subcommittee (ASC)?
State appraiser regulatory agencies are primarily responsible for which of the following functions?
People Also Study
Valuation Principles & Procedures
25% of exam
Property Description & Analysis
20% of exam
Market Analysis & Highest/Best Use
15% of exam
Appraisal Math & Statistics
15% of exam
USPAP (Ethics & Standards)
15% of exam