In the cost approach, if a building has a replacement cost of $400,000, land value of $150,000, and total depreciation of $80,000, what is the estimated property value?

Q: What is the correct answer to: In the cost approach, if a building has a replacement cost of $400,000, land value of $150,000, and total depreciation of $80,000, what is the estimated property value?

The correct answer is $470,000. Option A ($470,000) correctly applies the cost approach formula: Property Value = (Replacement Cost - Depreciation) + Land Value. The calculation is ($400,000 - $80,000) + $150,000 = $470,000. This follows the fundamental principle that depreciation only applies to the building structure, not the land. Land is considered to have indefinite economic life and maintains its value separately from improvements. This methodology is consistent with appraisal standards taught in Canadian real estate licensing programs and professional appraisal courses.

Q: What background knowledge is needed for this Property Valuation question?

The cost approach is grounded in the principle of substitution - a buyer will not pay more for a property than the cost to acquire equivalent land and construct a comparable building. Key components include replacement cost (current cost to build), reproduction cost (exact replica cost), and various depreciation types: physical deterioration, functional obsolescence, and external obsolescence. Canadian appraisal standards, referenced in provincial real estate legislation, require understanding of this method. Land value is determined separately through comparable sales analysis, as land doesn't depreciate but may appreciate or depreciate based on market conditions and zoning changes.

Q: What is a good way to remember the answer to this Property Valuation question?

Remember 'RLD' - Replacement cost minus depreciation, then add Land value. Think of it as 'Really Large Deal': R(eplacement) - D(epreciation) + L(and) = Value. Visualize building a house: you start with construction costs (R), subtract wear and tear (D), then add the lot value (L) since dirt doesn't get old. When you see cost approach questions, immediately write 'R - D + L' at the top of your scratch paper. Identify which number represents replacement cost, depreciation, and land value, then plug them into your formula. This prevents mixing up the components or forgetting to include land value.

Q: What exam tip applies to this Property Valuation question?

Always write the cost approach formula first: (Replacement Cost - Depreciation) + Land Value. Double-check that you're subtracting depreciation, not adding it, and ensure land value is included in your final answer.

Q: How does this Property Valuation concept apply in real world practice?

A real estate agent is helping a client understand an appraisal for insurance purposes on their custom-built home. The appraiser used the cost approach because few comparable sales exist for this unique architectural style. The agent explains that the $500,000 replacement cost reflects current construction prices, the $75,000 depreciation accounts for the home's 10-year age and some outdated fixtures, and the $200,000 land value comes from recent lot sales in the neighborhood. The final appraised value of $625,000 helps determine appropriate insurance coverage.

Question

Property ValuationCost ApproachMEDIUM

In the cost approach, if a building has a replacement cost of $400,000, land value of $150,000, and total depreciation of $80,000, what is the estimated property value?

Answer Options

A

$470,000

B

$550,000

C

$630,000

D

$320,000