Impact by element of total variance (percentage example)

Rubberneck

New Member
Joined
Feb 20, 2016
Messages
5
I'm struggling with a problem dealing with %'s and how to properly calculate the contribution that each element has to the total variance between 2 periods (Month 2 - Month 1), i.e. determine each element's impact against the total impact, in this case -0.39%. Obviously, I can not simply add the variance of each element as they will not sum to -0.39%. Below is what I'm trying to resolve:


  1. What is correct contribution formula for Rate variance contribution to get to -0.39% between models 1-4? Are calcs under cells M11-M14 correct from an overall rate variance perspective?
  2. Furthermore, I want to determine the impact of Market and Rate changes to total variance for each element. What are correct formulas (cells R4:S7)? Currently calculating -0.32% vs. -0.39%
    • I would like to be able to sum Market & Rate changes to equal each respective Rate Contribution per Model (example R4 + S4 = T4 for Model 1) as well as ultimately sum all models to overall rate variance of -0.39% (cells R4:S7).

Excel 2012
BCDEFGHIJKLMNOPQRSTUV
2Month 1Month 2Variance (Month 2 - Month 1)Market ShareRate Contribution
3MarketCommissionRateMarketCommissionRateMarketCommissionRateMonth1Month2MarketRateTotalVariance
4Model_1 500,000 2,500 0.50% 1,000,000 (1,500) (0.15%) 500,000 (4,000) (0.65%) 29% 29% (0.19%) (0.19%)
5Model_2 300,000 4,500 1.50% 700,000 5,500 0.79% 400,000 1,000 (0.71%) 17% 20% 0.03% (0.14%) (0.11%) 0.01%
6Model_3 700,000 14,000 2.00% 1,050,000 21,000 2.00% 350,000 7,000 40% 30% (0.10%) (0.10%) (0.10%)
7Model_4 250,000 3,125 1.25% 750,000 9,675 1.29% 500,000 6,550 0.04% 14% 21% 0.07% 0.01% 0.08% 0.02%
8 1,750,000 24,125 1.38% 3,500,000 34,675 0.99% 1,750,000 10,550 (0.39%) 100% 100% (0.32%) (0.32%) (0.07%)
9
10Contr.Contr.Rate Contr.
11Model_1 0.14% (0.04%) (0.19%)
12Model_2 0.26% 0.16% (0.10%)
13Model_3 0.80% 0.60% (0.20%)
14Model_4 0.18% 0.28% 0.10%
15 1.38% 0.99% (0.39%)

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simple example (2)

Worksheet Formulas
CellFormula
O4=C4/$C$8
P4=G4/$G$8
O5=C5/$C$8
P5=G5/$G$8
O6=C6/$C$8
P6=G6/$G$8
O7=C7/$C$8
P7=G7/$G$8
R4=(P4-O4)*SUMPRODUCT($I$4:$I$7,$P$4:$P$7)
S4=((I4*P4-E4*P4)/$P$8)
T4=SUM(R4:S4)
R5=(P5-O5)*SUMPRODUCT($I$4:$I$7,$P$4:$P$7)
S5=((I5*P5-E5*P5)/$P$8)
T5=SUM(R5:S5)
R6=(P6-O6)*SUMPRODUCT($I$4:$I$7,$P$4:$P$7)
S6=((I6*P6-E6*P6)/$P$8)
T6=SUM(R6:S6)
R7=(P7-O7)*SUMPRODUCT($I$4:$I$7,$P$4:$P$7)
S7=((I7*P7-E7*P7)/$P$8)
T7=SUM(R7:S7)
R8=SUM(R4:R7)
S8=SUM(S4:S7)
T8=SUM(T4:T7)
V4=M11-T4
V5=M12-T5
V6=M13-T6
V7=M14-T7
V8=M15-T8
E11=D4/$C$8
E12=D5/$C$8
E13=D6/$C$8
E14=D7/$C$8
E15=SUM(E11:E14)
I11=H4/$G$8
I12=H5/$G$8
I13=H6/$G$8
I14=H7/$G$8
I15=SUM(I11:I14)
M11=I11-E11
M12=I12-E12
M13=I13-E13
M14=I14-E14
M15=SUM(M11:M14)

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Workbook Defined Names
NameRefers To
s={#N/A,#N/A,TRUE,"1? ????";#N/A,#N/A,TRUE,"1-2? ?????";#N/A,#N/A,TRUE,"2? ??";#N/A,#N/A,TRUE,"2??? ????";#N/A,#N/A,TRUE,"3(1)? ????";#N/A,#N/A,TRUE,"??????";#N/A,#N/A,TRUE,"3(1)?7 ????";#N/A,#N/A,TRUE,"5? ???";#N/A,#N/A,TRUE,"5?2 ???(?)";#N/A,#N/A,TRUE,"6? ????";#N/A,#N/A,TRUE,"6? ??(?)";#N/A,#N/A,TRUE,"6? ??(?)";#N/A,#N/A,TRUE,"????";#N/A,#N/A,TRUE,"6-6(3)? ??(??)";#N/A,#N/A,TRUE,"9? ???(?)";#N/A,#N/A,TRUE,"9? ???(?)";#N/A,#N/A,TRUE,"10(3)? ????";#N/A,#N/A,TRUE,"10(4)? ????"}

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Excel Facts

Using Function Arguments with nested formulas
If writing INDEX in Func. Arguments, type MATCH(. Use the mouse to click inside MATCH in the formula bar. Dialog switches to MATCH.

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