An appraiser is valuing a property where a comparable sale occurred 8 months ago for $275,000. Market conditions have been appreciating at 0.5% per month. What time-adjusted price should be used for the comparable?
Correct Answer
C) $264,000
Since the market has appreciated 0.5% per month for 8 months (4% total), the comparable's price must be adjusted downward to reflect what it would sell for at the time of the original sale relative to current conditions: $275,000 ÷ 1.04 = $264,423, rounded to $264,000.
Why This Is the Correct Answer
Option C is correct because when the market appreciates 0.5% per month for 8 months, the total appreciation is 4% (0.5% × 8 = 4%). Since the comparable sold for $275,000 after this appreciation occurred, we must work backwards to find what it would be worth at the subject property's effective date. We divide $275,000 by 1.04 (representing the 4% appreciation factor) to get $264,423, which rounds to $264,000. This downward adjustment correctly reflects that the comparable would be worth less in today's market conditions.
Why the Other Options Are Wrong
Option A: $275,000
Option A is wrong because it makes no time adjustment at all, ignoring the 8 months of market appreciation at 0.5% per month. Using the unadjusted sale price of $275,000 would overstate the comparable's value relative to current market conditions.
Option B: $286,000
Option B is wrong because it incorrectly adds the appreciation to the sale price ($275,000 × 1.04 = $286,000), which would be appropriate if we were projecting the comparable's future value, but not for adjusting it to current market conditions when it already reflects appreciated value.
Option D: $291,000
Option D is wrong because it represents an even greater upward adjustment than option B, suggesting an appreciation factor that doesn't match the given market conditions of 0.5% per month for 8 months.
TIME TRAVEL RULE
Remember 'DIVIDE to go BACK in time, MULTIPLY to go FORWARD in time.' When a comparable sale happened in an appreciating market, you're going back to find current equivalent value, so DIVIDE by the appreciation factor (1 + rate).
How to use: When you see a time adjustment question, first identify the direction: Are you adjusting a past sale to current conditions (DIVIDE) or projecting current value to future conditions (MULTIPLY)? Then calculate the total appreciation/depreciation factor and apply the appropriate operation.
Exam Tip
Always double-check the direction of your time adjustment - this is the most commonly missed aspect of these questions. If the market went up since the sale, the adjusted value should be lower than the original sale price.
Common Mistakes to Avoid
- -Multiplying instead of dividing when adjusting past sales in appreciating markets
- -Forgetting to convert the monthly rate to total appreciation over the time period
- -Applying the percentage directly rather than using the appreciation factor (1 + rate)
Concept Deep Dive
Analysis
This question tests the critical concept of time adjustments in the sales comparison approach, specifically how to adjust comparable sales for market appreciation or depreciation. When a comparable sale occurred in the past and the market has appreciated since then, the appraiser must adjust the sale price downward to reflect what that property would have sold for at the time of the original transaction. The key insight is understanding the directional relationship: if the market has gone up since the sale, the comparable's current equivalent value would be lower than what it sold for. This requires dividing by the appreciation factor rather than multiplying, which is counterintuitive to many students.
Background Knowledge
Time adjustments in appraisal require understanding that comparable sales must be adjusted to reflect market conditions as of the effective date of the appraisal. When markets appreciate between the sale date and appraisal date, the comparable's sale price must be adjusted downward to reflect current purchasing power. The mathematical relationship involves either multiplying by an appreciation factor (for future projections) or dividing by it (for backward adjustments to current conditions).
Real-World Application
In practice, appraisers regularly encounter comparable sales that occurred months before the appraisal date. They must research market trends, analyze price appreciation rates from MLS data or market studies, and apply time adjustments to ensure all comparables reflect value as of the same date, making the analysis meaningful and defensible.
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