A comparable sale occurred 8 months ago for $250,000. Market analysis indicates prices have been increasing at 0.75% per month. What time-adjusted value should be used?
Correct Answer
A) $265,000
Time adjustment: $250,000 × (1 + 0.0075)^8 = $250,000 × 1.06 = $265,000. The comparable needs to be adjusted upward to reflect current market conditions.
Why This Is the Correct Answer
The calculation correctly applies compound interest: $250,000 × (1.0075)^8 = $250,000 × 1.06168 ≈ $265,420, which rounds to $265,000. The formula (1 + rate)^periods properly accounts for compounding effects over the 8-month period. Since prices have been increasing, the comparable sale from 8 months ago must be adjusted upward to reflect current market conditions. The mathematical precision and rounding conventions used in appraisal practice support this answer.
Why the Other Options Are Wrong
Option B: $265,625
This answer ($265,625) appears to use an incorrect calculation method, possibly applying simple interest ($250,000 × 0.0075 × 8 = $15,000 additional, plus some other factor) rather than the proper compound interest formula required for time adjustments.
Option C: $266,250
This answer ($266,250) suggests using simple interest calculation: $250,000 + ($250,000 × 0.0075 × 8) = $250,000 + $15,000 + $1,250 = $266,250, but this doesn't account for the compounding effect that occurs in real market appreciation.
Option D: $267,500
This answer ($267,500) significantly overestimates the adjustment and doesn't align with either compound or simple interest calculations using the given rate and time period, suggesting a fundamental calculation error.
TIME-COMP Formula
TIME-COMP: Time adjustments use Compound interest, Original price × (1 + Monthly rate)^Periods = Present value
How to use: When you see a time adjustment question, immediately think TIME-COMP and set up the formula: Original Sale Price × (1 + monthly rate)^number of months, then calculate and round appropriately
Exam Tip
Always use compound interest for time adjustments, not simple interest, and remember that if prices are increasing, you adjust the comparable sale price upward to current market levels
Common Mistakes to Avoid
- -Using simple interest instead of compound interest for time adjustments
- -Forgetting to adjust the direction correctly (upward for appreciation, downward for depreciation)
- -Miscounting the number of months between sale date and appraisal date
Concept Deep Dive
Analysis
Time adjustments in real estate appraisal account for market appreciation or depreciation between the date of a comparable sale and the effective date of the appraisal. This adjustment uses compound interest calculations to reflect how property values change over time due to market conditions. The formula applies the monthly appreciation rate compounded over the number of months that have elapsed. Time adjustments are critical for maintaining the reliability of comparable sales data, especially in rapidly changing markets where even a few months can significantly impact property values.
Background Knowledge
Time adjustments require understanding compound interest calculations and how market appreciation affects property values over time. Appraisers must distinguish between simple and compound interest, with compound being the standard for time adjustments since market forces compound over time.
Real-World Application
An appraiser valuing a home in March 2024 finds a comparable sale from July 2023 (8 months ago) that sold for $250,000, but the market has been appreciating at 0.75% monthly due to low inventory and high demand, requiring this upward time adjustment to make the comparable relevant to current market 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