A comparable property sold 6 months ago for $250,000. Market analysis indicates property values have increased 1% per month. What is the adjusted sale price for market conditions?
Correct Answer
C) $265,381
With 1% monthly appreciation compounded over 6 months: $250,000 × (1.01)^6 = $265,381. This represents compound appreciation rather than simple addition of percentage increases.
Why This Is the Correct Answer
Option C correctly applies compound appreciation using the formula: Original Price × (1 + rate)^periods. The calculation is $250,000 × (1.01)^6 = $265,381. This accounts for each month's 1% increase being applied to the new adjusted value from the previous month. The compound effect adds an additional $1,381 compared to simple appreciation calculations.
Why the Other Options Are Wrong
Option A: $265,000
This represents simple appreciation ($250,000 + 6% = $265,000) which incorrectly adds 6% total without accounting for compounding effects where each month's appreciation builds on the previous adjusted value.
Option B: $265,075
This appears to be an intermediate calculation error, possibly mixing simple and compound methods or making a computational mistake in the compound formula application.
Option D: $235,000
This shows a decrease in value ($235,000) which contradicts the stated 1% monthly increase in property values, indicating a fundamental misunderstanding of the appreciation direction.
COMPOUND Power Rule
C-O-M-P-O-U-N-D: 'Compounding Occurs Monthly, Previous Outcomes Underpin New Developments' - Remember that each month builds on the last, like interest earning interest.
How to use: When you see monthly appreciation rates, immediately think 'COMPOUND' and use the formula (1 + rate)^periods rather than simply multiplying rate × periods × original price.
Exam Tip
Always check if the question involves time periods with percentage changes - if so, assume compound appreciation unless explicitly stated as simple appreciation.
Common Mistakes to Avoid
- -Using simple addition instead of compound formula
- -Applying depreciation instead of appreciation
- -Forgetting to raise to the power of time periods
Concept Deep Dive
Analysis
This question tests the critical distinction between simple and compound appreciation in real estate market adjustments. When property values increase monthly, each month's appreciation builds upon the previous month's adjusted value, not the original sale price. This compounding effect becomes increasingly significant over longer time periods and creates a substantial difference from simple percentage addition. Understanding this concept is essential for accurate comparable sales adjustments in the sales comparison approach.
Background Knowledge
Market condition adjustments require understanding compound versus simple appreciation, where monthly percentage increases build upon each previous month's adjusted value. The compound formula (1 + rate)^periods accurately reflects how real estate markets typically appreciate over time.
Real-World Application
Appraisers regularly adjust comparable sales for market conditions when sales occurred months before the appraisal date, using local market data to determine monthly appreciation rates and applying compound adjustments for accuracy.
More Valuation Principles Questions
Market value is best defined as:
The principle of substitution states that:
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