Market trend analysis shows home prices declining 6% annually. A comparable sold 6 months ago for $380,000. What is the current market value indication?
Correct Answer
B) $368,600
Why this is correct: The market is declining at 6% annually. Over 6 months (0.5 years), the total decline is 6% * 0.5 = 3%. The current value indication is the past sale price reduced by this 3%: $380,000 * (1 - 0.03) = $380,000 * 0.97 = $368,600. Why the other choices are wrong: "$357,200" incorrectly applies a full 6% annual decline. "$391,400" incorrectly applies an upward adjustment. "$380,000" applies no adjustment for the declining market. Exam tip: For time adjustments, always identify the trend direction (increase or decrease) first. Convert the time period to years before applying the annual rate.
Why This Is the Correct Answer
Option A correctly applies the time adjustment formula for a declining market. The calculation takes the annual decline rate of 6% and applies it proportionally for the 6-month (0.5 year) period that has elapsed. Using the formula: $380,000 × (1 - 0.06 × 0.5) = $380,000 × 0.97 = $368,600. This downward adjustment properly reflects that the comparable would sell for less today than it did 6 months ago due to declining market conditions.
Why the Other Options Are Wrong
TIME-D Formula
TIME-D: Time × Interest × Market × Elapsed = Direction. Time period as decimal (6 months = 0.5), Interest rate (6% = 0.06), Market direction (declining = subtract), Elapsed calculation (1 - rate × time), Direction of adjustment (down for declining, up for appreciating).
How to use: When you see a time adjustment question, immediately identify: (1) the time period as a decimal fraction of a year, (2) whether the market is appreciating or declining, (3) apply the formula (1 ± rate × time fraction), and (4) multiply by the original sale price.
Exam Tip
Always convert months to decimal years first (6 months = 0.5 years), then multiply the annual rate by this decimal before applying the adjustment to avoid calculation errors.
Common Mistakes to Avoid
- -Applying the full annual rate instead of the proportional rate for the actual time period
- -Adjusting in the wrong direction (up instead of down for declining markets)
- -Forgetting to make any time adjustment when market conditions have changed
Concept Deep Dive
Analysis
This question tests the critical appraisal skill of making time adjustments to comparable sales data when market conditions are changing. Time adjustments are essential because comparable sales reflect market conditions at the time of sale, not current conditions. The appraiser must adjust the sale price to reflect what the property would sell for in today's market. This requires understanding how to calculate percentage changes over partial time periods and apply them correctly to reflect current market value.
Background Knowledge
Time adjustments in appraisal require understanding how to convert annual percentage changes to shorter time periods and apply them in the correct direction based on market trends. Appraisers must distinguish between appreciating markets (upward adjustments to older sales) and declining markets (downward adjustments to older sales).
Real-World Application
In practice, appraisers regularly make time adjustments when using comparable sales that occurred months before the appraisal date, especially in rapidly changing markets. This ensures the final value opinion reflects current market conditions rather than historical conditions.
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