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Cross-Price Elasticity Calculator

Find the cross-price elasticity of demand between two goods and whether they are substitutes or complements.

Change the values and press Calculate to work out your own figures.

Enter good X's two prices and good Y's two quantities.

About starting priceBefore the change.
About starting quantity of good yBefore X's price changes.
About new priceAfter the change.
About new quantity of good yAfter X's price changes.
About percent changeThe midpoint method gives the same answer in both directions.
About currencyChanges how amounts are shown, not the math; your choice is remembered on this device.
Result
Cross-price elasticity
−2.2
Relationship
Complements
Change in quantity
−40%
Change in price
18.18%

The elasticity is −2.2: complements.

Show the working
  1. %Δ = (new − old) ÷ ((new + old) ÷ 2)
  2. elasticity = %Δ quantity ÷ %Δ price

How to use it

Enter good X's two prices and good Y's two quantities.

Enter amounts without commas or with them; rates are percentages (5 for 5%). Negative amounts are allowed where a sign means money paid out.

Key facts

cross elasticity = %Δ quantity of Y ÷ %Δ price of X

Reading it

Above 0 the goods are substitutes; below 0, complements; near 0, unrelated.

Questions

Are goods with a cross elasticity of −2.2 substitutes?

No, complements: Y sells less when X costs more.

Formulas

cross elasticity = %Δ quantity of Y ÷ %Δ price of X

Sources

Limitations

  • Results are estimates for planning, not offers or financial advice; lenders and banks may round, count days or time payments differently.
  • Rates are nominal annual rates compounded as you choose; payments at a different frequency use the equivalent periodic rate.

Formula version 0.1.0Reviewed