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Questions marketers ask · lesson 16 · about 4 minutes

Price elasticity, with a worked example

Work out an elasticity from two prices and two volumes, then what it does to profit.

In one line

Price elasticity is the percentage change in volume divided by the percentage change in price. If a 5% price rise loses 8.4% of volume, the elasticity is about −8.4 ÷ 5 = −1.7.

What it does

  1. Step 1: take the price and the units sold before and after the change, over the same length of time.
  2. Step 2: divide the change in units (in %) by the change in price (in %). The answer is negative, because volume moves against price.
  3. Step 3: check what it does to sales value: (1 + price change) × (1 + volume change) − 1.
  4. Step 4: check profit. Gross profit is units × gross profit per unit. A price rise lifts profit per unit; it pays only if volume falls by less than that lift can carry.

Business and brand

Impact on the businessP&L, cash, share price

  • Below 1 in size (inelastic), a price rise lifts sales value; above 1 (elastic), it lowers sales value.
  • Profit has its own break-even: the volume you can lose before a rise costs gross profit. Work it out before you change price.
  • Published averages are a guide, not your number: a meta-analysis of 1,851 estimates found a mean of −2.62 (Bijmolt and colleagues, 2005), an earlier one −1.76 (Tellis, 1988).

Impact on the brandMemory, loyalty, pricing power

  • A strong brand has a lower elasticity: its buyers stay when the price rises.
  • Measured elasticity rises with frequent deals, as shoppers learn to wait for them.
  • Elasticity is not fixed: habit stretches the response, so the first quarter and the full year can differ.

Try it

Work it through on the engine

Pick a change to Brightwater's shelf price. The engine runs the quarter, and the lab works through the elasticity, sales value and gross profit step by step.

+5%
Measured over
Brightwater, in the quarter, from the engine
StepBeforeAfterChange
1. Shelf price€1.25€1.31+5%
1. Units sold (m)30.2927.74−8.4%
2. Elasticity−8.4% ÷ +5%−1.69
3. Net sales (€m)23.9822.49−6.2%
4. Gross profit per unit€0.42€0.45+6.2%
4. Break-even volume€0.42 ÷ €0.45 − 1−5.9%
4. Gross profit (€m)12.8212.47−2.7%

Net sales are after retailer margin and trade spend; gross profit is net sales less product cost. Units are cans sold to shoppers.

Notice: Elasticity −1.69: volume moved −8.4% for a +5% price change. Volume fell more than the −5.9% break-even, so gross profit fell.

Runs Countermove's market engine: the reference soft-drinks market, three brands, rivals holding their plans so only your change moves the result.

Sources

  • Bijmolt, van Heerde & Pieters (2005), Journal of Marketing Research: 1,851 price elasticities, mean −2.62
  • Tellis (1988), Journal of Marketing Research: price elasticity meta-analysis, mean −1.76
  • Farris, Bendle, Pfeifer & Reibstein (2010), Marketing Metrics, Wharton School Publishing: price elasticity and break-even

Teaching this? Teaching notes, a 20-minute plan and homework.

Check itThree questions, instant answers

Question 1 of 3Price rises from €2.00 to €2.10 and weekly units fall from 1,000 to 900. What is the elasticity?
Question 2 of 3Elasticity is −0.5 and you raise price 10%. Sales value:
Question 3 of 3Gross profit per unit rises 6% after a price rise, and volume falls 8%. Gross profit: