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
A) $368,600
Time adjustment for declining market: 6 months = 0.5 years. $380,000 × (1 - 0.06 × 0.5) = $380,000 × 0.97 = $368,600. The adjustment is downward to reflect current declining market conditions.
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
Option B: $357,200
This answer incorrectly applies the full 6% annual decline to the sale price, as if a full year had passed. The calculation would be $380,000 × 0.94 = $357,200, which ignores that only 6 months have elapsed, not 12 months.
Option C: $380,000
This answer makes no time adjustment at all, using the original sale price of $380,000. This fails to account for the declining market conditions over the past 6 months and would overstate the current market value.
Option D: $391,400
This answer incorrectly applies an upward adjustment of 3% ($380,000 × 1.03 = $391,400), which would be appropriate for an appreciating market, not a declining one. This completely misunderstands the direction of the market trend.
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.
More Market Analysis Questions
Which comparable selection criterion is MOST important when choosing sales for a residential appraisal?
A residential subdivision has absorbed 120 units over the past 18 months. Based on this historical data, how long would it take to sell 80 remaining lots?
Which of the following is the correct sequence for analyzing highest and best use?
A market has 500 homes sold in the past 12 months and currently has 180 homes for sale. The monthly absorption rate is:
When analyzing highest and best use, which of the following would make a use financially infeasible?
People Also Study
Valuation Principles & Procedures
25% of exam
Property Description & Analysis
20% of exam
Appraisal Math & Statistics
15% of exam
USPAP (Ethics & Standards)
15% of exam
Report Writing & Compliance
10% of exam
Previous Question
A market analysis shows 200 homes sold in the past 12 months and an average inventory of 150 homes. What is the absorption rate per month?
Next Question
A commercial property currently generates $100,000 annual net income. The building could be demolished and redeveloped for $2 million, generating $250,000 annual net income. Using a 10% cap rate, what is the value as improved?