A comparable sale occurred 8 months ago for $425,000. Market conditions indicate property values have increased 0.5% per month since that time. What is the adjusted sale price?
Correct Answer
A) $442,000
Why this is correct: The total market increase is 0.5% × 8 = 4%. The adjustment is $425,000 × 4% = $17,000, producing an adjusted sale price of $442,000. Why the other choices are wrong: A downward adjustment contradicts appreciation, and the remaining amounts are arithmetic errors. Exam tip: Old sale price × total elapsed market change gives the time-adjusted price.
Why This Is the Correct Answer
Option D ($441,000) is correct because it properly calculates the time adjustment using compound growth. The formula is: $425,000 × (1.005)^8 = $441,000 (rounded). This accounts for the compounding effect of 0.5% monthly increases over 8 months. The explanation provided in the question appears to contain an error in its calculation method, as it shows simple interest rather than compound interest, but arrives at the correct answer.
Why the Other Options Are Wrong
TIME-COMP Method
TIME = Time adjustment needed, COMP = Compound the growth rate. Remember: (1 + rate)^periods for compound growth, not simple multiplication.
How to use: When you see a time adjustment question, immediately identify: T(ime period), I(ncrease rate), M(onthly/yearly), E(xponent calculation). Then apply COMP formula: Original Price × (1 + rate)^periods.
Exam Tip
Always check if the question requires simple or compound interest - real estate appreciation typically compounds, so use (1 + rate)^periods unless specifically told otherwise.
Common Mistakes to Avoid
- -Using simple interest instead of compound interest for time adjustments
- -Applying the adjustment in the wrong direction (decreasing instead of increasing)
- -Forgetting to convert annual rates to monthly rates or vice versa
Concept Deep Dive
Analysis
This question tests the fundamental appraisal concept of time adjustments for comparable sales, which is critical in the sales comparison approach. When using comparable sales that occurred in the past, appraisers must adjust for market changes that have occurred between the sale date and the effective date of the appraisal. The calculation involves applying the cumulative market change percentage to the original sale price. This adjustment ensures that past sales data reflects current market conditions, making the comparable truly comparable to the subject property's current value.
Background Knowledge
Time adjustments in appraisal require understanding of compound growth calculations when market conditions change consistently over time. Appraisers must distinguish between simple and compound interest applications, with compound interest being more accurate for market appreciation calculations.
Real-World Application
In practice, appraisers regularly adjust comparable sales for time when market conditions are changing. For example, in a rapidly appreciating market, a sale from 6 months ago would need upward adjustment to reflect current values, ensuring the appraisal accurately represents present market conditions.
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