Free Tools Cross-Price Elasticity Calculator

Cross-Price Elasticity Calculator

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A Cross-Price Elasticity Calculator is a tool used in economics to measure how the demand for one product changes when the price of another product changes.

It helps determine whether two products are substitutes (competing products) or complements (products used together).

Formula

$$\text{Cross-Price Elasticity of Demand (XED)} = \frac{\%\ \text{Change in Quantity Demanded of Product A}} {\%\ \text{Change in Price of Product B}}$$Cross-Price Elasticity of Demand (XED)=% Change in Price of Product B% Change in Quantity Demanded of Product A​

Interpretation

Example 1: Substitute Goods

Suppose:

• The price of coffee rises by 10%.
• The demand for tea increases by 15%.

$$XED = \frac{15\%}{10\%} = 1.5$$XED=10%15%​=1.5

Since the result is positive, tea and coffee are substitutes.

Example 2: Complementary Goods

Suppose:

• The price of printers rises by 20%.
• The demand for printer ink falls by 30%.

$$XED = \frac{-30\%}{20\%} = -1.5$$XED=20%−30%​=−1.5

Since the result is negative, printers and ink are complements.

What a Cross-Price Elasticity Calculator Does

You enter:

1. Original quantity demanded of Product A
2. New quantity demanded of Product A
3. Original price of Product B
4. New price of Product B

The calculator computes:

• Percentage change in quantity demanded
• Percentage change in price
• Cross-price elasticity coefficient
• Whether the products are substitutes, complements, or unrelated

Why It’s Useful

Businesses and economists use cross-price elasticity to:

• Analyze competition.
• Set pricing strategies.
• Predict demand changes.
• Evaluate product bundles and partnerships.
• Understand consumer behavior.