An appraiser applies 30% depreciation from age-life, then separately deducts a further 10% for the worn roof included in that ratio. The error is:
Correct Answer
C) Double-counting — the ratio already charged the roof's share
Why this is correct: The age-life method applies a single depreciation percentage to the entire improvement cost. This percentage already includes an allowance for all components, including the roof. Deducting an additional amount for the roof counts that depreciation twice. Why the other choices are wrong: "Using any single depreciation ratio above twenty-five percent" is not inherently an error. "Failing to depreciate the site as well" is incorrect; land is not depreciated. "Rounding the ratio to a whole number" is a common practice and not the primary error here. Exam tip: You cannot apply a blanket depreciation rate and then make separate deductions for items already covered by that rate.
Why This Is the Correct Answer
Option C is correct because the age-life ratio already charged the roof's share of depreciation, making the additional 10 percent a double count. The defect is structural rather than arithmetic: two methods that each purport to cover the same component have been stacked. The result systematically understates improvement value, and the error grows with the size of the component treated twice. Recognizing that a blended ratio is comprehensive is the key insight.
Why the Other Options Are Wrong
Option A: Using any single depreciation ratio above twenty-five percent
There is no ceiling on a depreciation ratio, and a 30 percent figure is entirely ordinary for a building of moderate effective age. Older properties routinely carry ratios well above 50 percent, and a fully depreciated improvement can approach 100 percent. Inventing a numerical limit substitutes a rule of thumb for the age-life relationship.
Option B: Failing to depreciate the site as well
Land is not depreciated in the cost approach; the approach adds site value to depreciated improvement value precisely because the two are treated differently. Site value is estimated separately, most often by sales comparison, and any loss in land value from external influences is captured through the site valuation itself. Depreciating the site would double count and would misunderstand the structure of the approach.
Option D: Rounding the ratio to a whole number
Rounding a depreciation ratio to a whole number is normal practice and reflects the inherent imprecision of an effective age judgment. Reporting 30 percent rather than 29.7 percent implies no false precision and creates no error of consequence. The option offers a trivial stylistic point in place of the substantive methodological failure.
One Method Per Component
Each component gets depreciated once, by one method. A blended age-life ratio is an all-inclusive ticket, so nothing inside it may be charged again at the door. If you want to bill the roof separately, pull its cost out of the base first.
How to use: When a stem shows both a percentage ratio and a component-specific deduction, check whether the component's cost was removed from the base. If not, the error is double counting. Then recall the correct sequence in the modified method: deduct curables, reduce the base, apply the ratio to what remains.
Exam Tip
Whenever you see two depreciation figures applied to one building, trace whether their bases overlap; overlapping bases mean double counting regardless of how reasonable each figure looks alone.
Common Mistakes to Avoid
- -Applying a blended age-life ratio and then deducting separately for items inside it
- -Failing to remove curable item costs from the base in the modified age-life method
- -Depreciating site value along with the improvements in the cost approach
Concept Deep Dive
Analysis
This question tests the incompatibility of two depreciation methods applied to the same components. The economic age-life method computes a single ratio, effective age divided by total economic life, and applies it to the entire cost of the improvements. That ratio is a blended measure covering everything in the building, so the roof, the furnace, the framing, and the finishes are all already accounted for within the 30 percent. Deducting a further 10 percent for the roof charges the same deterioration twice, understating the depreciated value of the improvements and therefore the value indication from the cost approach. The correct alternative, if the appraiser wants to treat the roof separately, is the modified age-life method or a full breakdown analysis. In the modified approach the appraiser first deducts the cost to cure any curable items and removes their cost from the base, then applies the age-life ratio to the remaining cost. Breakdown analysis goes further, depreciating short-lived components individually on their own effective ages and lives and applying a separate ratio only to the long-lived remainder. Either technique is defensible; mixing a blended ratio with additional component deductions is not.
Background Knowledge
You need to know the recognized methods of estimating accrued depreciation, including economic age-life, modified age-life, breakdown or observed condition analysis, market extraction, and the capitalization of rent loss. You should also know that the modified method requires removing the cost of separately treated items from the base before applying the ratio, and that the cost approach adds separately estimated site value to depreciated improvement value.
Real-World Application
Reviewing a cost approach, a reviewer finds a 32 percent age-life ratio applied to full replacement cost new plus a separate $9,400 deduction for a worn roof. The reviewer notes the roof cost was never removed from the base, quantifies the duplication, and reports that the improvement value is understated by roughly $3,000.
More Cost Approach Questions
In a cost approach for a proposed building, the appropriate cost basis is generally:
A warehouse cost $210,000 to build when the cost index stood at 105. The index is now 210. Its indicated current cost is:
The age-life method expresses depreciation as:
Market extraction of depreciation is limited by the fact that it:
Functional obsolescence caused by a deficiency is measured as curable when:
Curable physical deterioration is measured at cost to cure because:
A 2,050 sq ft dwelling is priced at $178 per square foot with a $34,000 detached garage and $21,500 of site improvements. Cost new is:
A house has three bedrooms sharing one bathroom, and adding a second bath is economically justified. This is:
Direct costs in a construction budget include:
An appraiser writes that a 40-year-old house has an effective age of 10 but describes original wiring, original kitchen and a 25-year-old roof. The report's problem is:
People Also Study
Real Estate Market
13.6% of exam
Property Description
11.8% of exam
Land or Site Valuation
4.5% of exam
Sales Comparison Approach
16.4% of exam
Income Approach
8.2% of exam
Previous Question
After curable items are removed, the long-lived components have a cost new of $240,000. The effective age is 12 years against a total economic life of 60 years. What is the incurable physical deterioration?
Next Question
The cost approach's reliability declines as a building ages primarily because: