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Why Price, Cost, Volume, and Mix Margin Effects Need More Data

Article Quant Q&A · Author: analyst1
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Summary

The question asks how to convert a gross margin dollar bridge into basis-point changes in gross margin percentage, focusing on price, cost, volume, and mix. It compares a stated price benefit with the margin percentage implied by a simple calculation using the starting margin and revenue, which produces a much smaller change than the cited analysis.

The answer explains that the available figures are insufficient to identify all four effects: without further details, only two variables can be derived. This illustrates that a dollar change alone does not determine its percentage-margin impact; the underlying sales and cost relationships matter. The document does not provide the referenced formula or a complete decomposition, so it cannot teach a full calculation procedure or resolve the numerical discrepancy. Its practical lesson is to obtain more granular inputs before attributing margin-rate changes to individual drivers.

Key ideas

  • A gross margin dollar bridge does not by itself identify each driver’s effect on margin percentage.
  • The available data permit calculation of only two variables without additional detail.
  • Price, cost, volume, and mix effects require more information about the underlying sales and costs.
  • A cited price impact cannot be reconciled from the brief figures alone.

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Full text
# Margin % Bridge - Effect of Price, Cost, Volume


# Margin % Bridge - Effect of Price, Cost, Volume












Given sales and profitability data for two time periods, how would I go about calculating the impact of price, cost, volume and mix margin % (bps)? I can do the analysis as a gross margin $ bridge, but I'm unable to convert that to margin %.

I'd like to create something like this: http://www.pwc.com/en_GX/gx/technology/publications/assets/technology-news-gross-margin-analysis.pdf

Looking at that analysis, I can't reconcile how $2.5M in price be favorable 120 bps to margin.

Std Margin of \$174.2m (57.2%) Price of \$2.5m (1.2%)

Would suggest that margin after the price change is 58.4%

Working backwards Std Margin of $174.2 at 57.2% would mean:

Revenue: \$304.54m (174.2 / .572) Cost: $130.34m

A $2.5m price increase would be 174.2+2.5 = 176.7m of margin on 304.54+2.5 = 307.04m revenue, which is only 57.5% margin or 30 bps difference. How does 120 bps get derived?

## Answer by Marco Silva (score 0)

https://quant.stackexchange.com/a/45856

You don't have enough data. You could only derive 2 variables without knowing more details. Here is the formula for 2 variables:

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.