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Cross Price Elasticity Calculator

Analyze relationship between product prices and demand for substitute or complementary goods

Calculate Cross Price Elasticity

The product whose price will change

The product whose demand will be measured

Initial Values (Time Point 1)

$

Final Values (Time Point 2)

$

Cross Price Elasticity Results

0.000
Elasticity Coefficient
No Relationship
Product Relationship

Product A Price Change

$0.00$0.00

+$0.00 (+0.0%)

Product B Demand Change

0 units0 units

+0 units (+0.0%)

Formula: E = (P₁ + P₂)/(Q₁ + Q₂) × ΔQ/ΔP

Alternative: E = % Change in Quantity B / % Change in Price A = 0.0% / 0.0% = 0.000

Interpretation: Changes in price of one product do not affect demand for the other

Example: Coca-Cola vs Pepsi Analysis

Market Scenario

Product A: Coca-Cola

Initial Price: $0.69 per can

Final Price: $0.59 per can

Price Change: -$0.10 (-14.5%)

Product B: Pepsi

Initial Demand: 680 million cans

Final Demand: 600 million cans

Demand Change: -80 million (-11.8%)

Calculation

Step 1: Average Price = ($0.69 + $0.59) / 2 = $0.64

Step 2: Average Quantity = (680M + 600M) / 2 = 640M

Step 3: Elasticity = ($0.64 / 640M) × (-80M / -$0.10) = 0.8

Result: Positive elasticity = Substitute goods (weak substitutes)

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Elasticity Interpretation

+

Substitute Goods

Positive elasticity

Price ↑ → Demand for other ↑

-

Complementary Goods

Negative elasticity

Price ↑ → Demand for other ↓

0

Independent Goods

Zero elasticity

No relationship

Elasticity Magnitude

|E| > 1: Elastic

Strong responsive relationship

|E| < 1: Inelastic

Weak responsive relationship

|E| = 1: Unit Elastic

Proportional response

Business Applications

Pricing strategy development

Market competition analysis

Product bundling decisions

Demand forecasting

Understanding Cross Price Elasticity

What is Cross Price Elasticity?

Cross price elasticity of demand measures how responsive the quantity demanded of one good is to changes in the price of another good. It reveals the relationship between products and helps businesses understand market dynamics and consumer behavior.

Why is it Important?

  • Identifies substitute and complementary relationships
  • Guides pricing strategies and market positioning
  • Predicts market response to competitor actions
  • Supports product bundling and portfolio decisions

Formula Breakdown

E = (P₁ + P₂)/(Q₁ + Q₂) × ΔQ/ΔP

Mid-point method

  • E: Cross price elasticity coefficient
  • P₁, P₂: Initial and final prices of product A
  • Q₁, Q₂: Initial and final quantities of product B
  • ΔP: Change in price of product A
  • ΔQ: Change in quantity of product B

Alternative Formula: % Change in Quantity B ÷ % Change in Price A

Real-World Examples

Substitute Goods

Positive elasticity

  • • Coca-Cola vs Pepsi
  • • iPhone vs Samsung
  • • Butter vs Margarine
  • • Netflix vs Hulu

Complementary Goods

Negative elasticity

  • • Coffee machines & capsules
  • • Printers & ink cartridges
  • • Cars & gasoline
  • • Gaming consoles & games

Independent Goods

Zero elasticity

  • • Books & bicycles
  • • Shoes & smartphones
  • • Bread & furniture
  • • Movies & vitamins
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