The subject's market has shown a simple, non-compounded increase of 6% per year. A comparable sold at a cash-equivalent price of $320,000 exactly 12 months before the effective date, and no other adjustments apply. What is the time-adjusted price, to the nearest dollar?
Correct Answer
C) $339,200
320000×(1+0.06×1)=339200. Common errors: adjusting downward instead of upward gives $300,800; reporting only the adjustment gives $19,200; grossing up by dividing by 0.94 gives $340,426.
Why This Is the Correct Answer
Option C is correct because $320,000 × (1 + 0.06 × 1) = $320,000 × 1.06 = $339,200. The market rose, so the older sale price is adjusted upward. With simple interest, the increase is computed only on the original price.
Why the Other Options Are Wrong
Option A: $19,200
Option A, $19,200, is only the adjustment amount: $320,000 × 0.06 = $19,200. The question asks for the time-adjusted price, $320,000 + $19,200 = $339,200.
Option B: $300,800
Option B, $300,800, adjusts downward instead of upward: $320,000 × (1 − 0.06) = $300,800. The market change is an increase, so the correct price is $339,200.
Option D: $340,426
Option D, $340,426, comes from grossing up by dividing by 0.94: $320,000 ÷ 0.94 ≈ $340,426. A 6% increase on the original price is $320,000 × 1.06 = $339,200, not a division.
Multiply up, don't divide
A percentage increase means price × (1 + rate). Dividing by (1 − rate) gives a different, larger number.
How to use: Use this to avoid grossing-up errors on simple percentage time adjustments.
Exam Tip
Check whether the question asks for the adjustment or the adjusted price, and confirm the direction of the market change.
Common Mistakes to Avoid
- -Reporting the dollar adjustment instead of the adjusted price
- -Dividing by 0.94 instead of multiplying by 1.06
- -Applying an upward market change as a decrease
Concept Deep Dive
Analysis
This question tests a basic simple-interest time adjustment. The sale is exactly 12 months old, so a 6% annual rate applies once. Multiply the cash-equivalent price by 1.06 to bring it to the effective date.
Background Knowledge
A market-conditions adjustment brings an older sale's price to the effective date. Under simple interest, the change is earned only on the original amount. Time adjustments, or the lack of them, must be supported by evidence such as repeat sales of the same property.
Real-World Application
An appraiser uses a year-old sale in a market where repeat sales show about 6% annual appreciation. The appraiser increases the comparable's cash-equivalent price by 6% before making feature adjustments.
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