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ReconciliationHARD4.5% of exam

Indications are sales comparison $612,000, cost $648,000 and income $590,000, weighted 60%, 25% and 15%. After review, the appraiser moves 10 percentage points of weight from cost to sales comparison (70%, 15%, 15%). What is the change in the reconciled value?

Correct Answer

A) -$3,600

Moving weight from one approach to another changes the result by the weight moved times the difference between the two indications: 0.10 x ($612,000 - $648,000) = -$3,600 (from $617,700 to $614,100). -$360 treats 10 points as 1%, +$2,200 moves the weight from income instead of cost, and +$61,200 counts only the weight added to sales comparison.

Answer Options
A
-$3,600
B
-$360
C
+$2,200
D
+$61,200

Why This Is the Correct Answer

Option A is correct because 10 points of weight move from the $648,000 cost indication to the $612,000 sales indication, so the result changes by 0.10 x (612,000 - 648,000) = -$3,600. Recomputing in full confirms it: $617,700 before and $614,100 after.

Why the Other Options Are Wrong

Option B: -$360

Option B, -$360, treats the 10-point shift as 0.01 instead of 0.10. The shift is ten percentage points, so 0.10 x (612,000 - 648,000) = -$3,600.

Option C: +$2,200

Option C, +$2,200, computes 0.10 x (612,000 - 590,000), as if the weight came from the income approach. The stem moves weight from cost, whose $648,000 indication is above sales comparison, so the value falls by $3,600.

Option D: +$61,200

Option D, +$61,200, counts only the weight added to sales comparison: 0.10 x $612,000 = $61,200. It ignores the matching 0.10 x $648,000 = $64,800 removed from cost, so the net change is -$3,600.

Shift times gap

Change in value = weight moved x (receiving indication minus giving indication). Moving weight toward a lower indication lowers the value.

How to use: Use this to answer any 'what happens if the weight changes' question without recomputing the whole average.

Exam Tip

Check the sign by asking whether weight is moving toward a higher or a lower indication.

Common Mistakes to Avoid

  • -Counting the weight added to one approach without removing it from the other
  • -Using the wrong approach as the source of the shifted weight
  • -Treating percentage points as a decimal one place off

Concept Deep Dive

Analysis

The question tests the effect of changing a weight. Because a weighted average is linear, shifting weight between two approaches moves the result by the weight shifted times the gap between their indications. Candidates must identify which approach loses weight and get the sign right.

Background Knowledge

The final value is not a simple average; approaches with greater significance receive greater weight. Knowing how a weight change moves the result helps an appraiser and a reviewer see how sensitive the conclusion is to the weighting judgment.

Real-World Application

After a reviewer questions the cost approach's depreciation support, an appraiser reduces its weight by 10 points in favor of sales comparison. The report notes that the change lowers the reconciled value by $3,600 and explains why sales comparison now deserves more reliance.

weight changesensitivityweighted averagereconciliationapproach weights
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