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Sales ComparisonHARD16.4% of exam

Two percentage adjustments, +5% and −3%, apply to the same comparable. Why is the additive method (net +2%) generally preferred to multiplying the factors?

Correct Answer

D) Multiplying assumes the factors are related, which is rarely verified

A multiplicative adjustment implies the factors are causally related and correlated, and it should not be used unless that correlation is verified, which is not often the case. The additive method simply sums the percentages. Either method still needs market support.

Answer Options
A
Multiplying produces a larger adjustment than adding the factors
B
Additive percentages are required by Fannie Mae for each adjustment
C
Additive percentages remove the need for market support
D
Multiplying assumes the factors are related, which is rarely verified

Why This Is the Correct Answer

Option D is correct because a multiplicative adjustment implies the factors are causally related and correlated with each other. Multiplicative percentage adjustments should not be used unless that correlation can be verified, which is not often the case. The additive method simply sums the percentages, here +5% and −3% for a net +2%, and still needs market support.

Why the Other Options Are Wrong

Option A: Multiplying produces a larger adjustment than adding the factors

Option A says multiplying produces a larger adjustment than adding. That is not the reason, and in this example it is not even true: 1.05 × 0.97 = 1.0185, a net +1.85%, which is smaller than the additive +2%.

Option B: Additive percentages are required by Fannie Mae for each adjustment

Option B says Fannie Mae requires additive percentages for each adjustment. The preference for the additive method rests on the unverified correlation that multiplication assumes, not on a lender requirement.

Option C: Additive percentages remove the need for market support

Option C says additive percentages remove the need for market support. That is wrong because both additive and multiplicative adjustments still need market support; the method of combining them does not replace evidence.

Multiply means linked

Multiplying factors implies they are linked; unless you can prove the link, add them instead.

How to use: Use this when deciding how to combine several percentage adjustments.

Exam Tip

When asked why additive percentages are preferred, look for the answer about multiplication assuming correlated factors that are seldom verified.

Common Mistakes to Avoid

  • -Assuming multiplication gives a larger adjustment than adding
  • -Believing the additive method removes the need for market support
  • -Citing a lender rule as the reason for the additive method

Concept Deep Dive

Analysis

This question tests the difference between additive and multiplicative percentage adjustments. Multiplying factors carries a hidden assumption that the factors are causally related and correlated. Reason through why that assumption needs verification before multiplication is used.

Background Knowledge

When several percentage adjustments apply, they can be summed (additive) or applied in sequence by multiplying factors (multiplicative). Multiplication compounds one adjustment on top of another, which only makes sense if the factors interact. Because such correlation is rarely proven, the additive method is generally preferred.

Real-World Application

An appraiser has a +5% location adjustment and a −3% condition adjustment for a comparable. With no evidence that location and condition interact in this market, the appraiser sums them to a net +2% rather than multiplying.

additive adjustmentmultiplicative adjustmentpercentage adjustmentscorrelationmarket support
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