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ReconciliationHARD4.5% of exam

An appraiser rates the support for each approach on a points scale (sales comparison 3 points, cost 2 points, income 1 point) and converts the points into weights in proportion to the 6-point total. The indications are sales comparison $715,000, cost $760,000 and income $690,000. What is the weighted indication, rounded to the nearest dollar?

Correct Answer

D) $725,833

The weights are 3/6, 2/6 and 1/6, so the indication is (3 x $715,000 + 2 x $760,000 + 1 x $690,000) / 6 = $4,355,000 / 6 = $725,833. $714,167 swaps the cost and income points, $717,500 reverses the point order, and $721,667 is the simple average that ignores the ratings.

Answer Options
A
$714,167
B
$717,500
C
$721,667
D
$725,833

Why This Is the Correct Answer

Option D is correct because the points convert to weights of 3/6, 2/6 and 1/6, and (2,145,000 + 1,520,000 + 690,000) / 6 = $725,833. Sales comparison, rated best supported, carries half the weight.

Why the Other Options Are Wrong

Option A: $714,167

Option A, $714,167, gives cost 1 point and income 2 points, the reverse of the stated ratings: (2,145,000 + 760,000 + 1,380,000) / 6. With cost at 2 points and income at 1, the result is $725,833.

Option B: $717,500

Option B, $717,500, reverses the whole scale so income gets 3 points and sales comparison 1: (715,000 + 1,520,000 + 2,070,000) / 6. That gives the least-supported approach the most weight.

Option C: $721,667

Option C, $721,667, is the simple average of the three indications. It discards the ratings the appraiser developed; applying them gives $725,833.

Points over total equals weight

Divide each approach's points by the sum of all points to get its weight, then multiply and add.

How to use: Use this when a stem gives scores, ranks or ratios instead of percentages.

Exam Tip

Re-read which approach gets which score before computing; mismatching them is the common error.

Common Mistakes to Avoid

  • -Assigning the scores to the wrong approaches
  • -Averaging the indications and ignoring the scores
  • -Treating raw points as percentages without dividing by the total

Concept Deep Dive

Analysis

This tests turning a qualitative ranking of data quality into numerical weights. The points must be divided by their total to become weights, matched to the right approaches, and then applied. The distractors come from mismatching points to approaches or ignoring them.

Background Knowledge

Reconciliation analyzes the appropriateness of each approach, the accuracy of its data and calculations, and the quantity of data. A points rating is one way to record that judgment, and a weighted average converts it into a figure by multiplying each indication by its share of the total points.

Real-World Application

An appraiser documenting a reconciliation for a lender scores each approach on data quantity and reliability. The scores of 3, 2 and 1 become weights of 50%, 33% and 17%, and the report explains why sales comparison scored highest.

weighted averagedata qualityreliabilityapproach weightsreconciliation
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More Reconciliation Questions

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