A comparable sale occurred 8 months ago for $450,000. Market conditions analysis shows property values have increased 0.5% per month. What is the adjusted sale price?
Correct Answer
A) $468,000
The adjustment calculation is: $450,000 × (1 + 0.005 × 8) = $450,000 × 1.04 = $468,000. Since values increased, we add the time adjustment to bring the older sale to current market conditions.
Why This Is the Correct Answer
Option A ($468,000) correctly applies the time adjustment formula. The calculation multiplies $450,000 by (1 + 0.005 × 8), which equals $450,000 × 1.04 = $468,000. Since property values increased over the 8-month period, the adjustment adds value to bring the older comparable sale up to current market levels. This represents an 4% total increase over 8 months at 0.5% per month.
Why the Other Options Are Wrong
Option B: $432,000
Option B ($432,000) incorrectly subtracts the time adjustment instead of adding it. This would be the result if property values had decreased by 4% over the 8-month period, but the question states values increased. The calculation would be $450,000 × 0.96 = $432,000, which moves in the wrong direction.
Option C: $464,400
Option C ($464,400) appears to use an incorrect calculation method, possibly applying a 3.2% adjustment instead of the correct 4%. This could result from miscalculating the monthly rate or time period, yielding $450,000 × 1.032 = $464,400.
Option D: $472,500
Option D ($472,500) overstates the adjustment by applying a 5% increase instead of 4%. This error might occur from using simple addition ($450,000 + $22,500) rather than the proper multiplicative formula, or miscalculating the time period or rate.
TIME Formula
T.I.M.E. = Time elapsed × Interest rate × Multiply by (1 + rate) × Equals adjusted price. Remember: 'Time moves forward, so ADD when values go UP, SUBTRACT when values go DOWN.'
How to use: When you see a time adjustment question, immediately identify: (1) Time period elapsed, (2) Monthly/annual rate, (3) Direction of market movement, then apply T.I.M.E. formula with the correct mathematical operation.
Exam Tip
Always double-check whether you're adding or subtracting the time adjustment based on market direction. Write out the formula: Original Price × (1 ± rate × time) before calculating to avoid directional errors.
Common Mistakes to Avoid
- -Subtracting when values increased instead of adding
- -Using simple addition/subtraction instead of multiplicative adjustment
- -Confusing the time period or applying wrong monthly rate
Concept Deep Dive
Analysis
This question tests the fundamental appraisal concept of time adjustments in the sales comparison approach. When using comparable sales, appraisers must adjust older sales to reflect current market conditions by applying market appreciation or depreciation rates. The calculation involves multiplying the original sale price by a factor that accounts for the time elapsed and the rate of market change. This adjustment ensures that all comparable sales reflect the same market conditions as the subject property's effective date of valuation.
Background Knowledge
Time adjustments are essential in the sales comparison approach because comparable sales rarely occur on the same date as the appraisal. Market conditions change continuously, so appraisers must adjust older sales to reflect current market levels using documented market trends. The adjustment can be positive (increasing markets) or negative (declining markets) depending on market conditions.
Real-World Application
In practice, appraisers research market trends through MLS data, assessor records, and market reports to determine monthly or annual appreciation rates. For example, if appraising a home in July using a March comparable sale in a hot market, the appraiser would apply documented appreciation rates to bring that March sale to current July market conditions.
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