Cross Elasticity of Demand: Demand Change Based on Price of Another Good

Examines the demand change for a good based on the price change of another good. Positive CED indicates substitute goods, while negative CED indicates complementary goods.

Cross Elasticity of Demand (CED) assesses the responsiveness of the quantity demanded for a good to a change in the price of another good. It measures how one product’s price change can impact the demand for another product. The CED is a crucial concept in economics as it helps to understand relationships between goods, classify them as substitutes or complements, and make informed business and policy decisions.

Formula and Calculation

The formula for calculating Cross Elasticity of Demand is:

$$ CED = \frac{\% \text{ change in quantity demanded of Good A}}{\% \text{ change in price of Good B}} $$

Where:

  • Good A is the product whose demand is being measured.
  • Good B is the product whose price change impacts Good A’s demand.

Interpretation of CED Values

Positive Cross Elasticity (Substitute Goods)

When CED is positive, it indicates that the goods are substitutes. A price increase in Good B leads to an increase in the demand for Good A.

Negative Cross Elasticity (Complementary Goods)

When CED is negative, it implies that the goods are complements. A price increase in Good B results in a decrease in the demand for Good A.

Types of Relationships

Substitute Goods

Substitute goods are those that can replace each other. For example, tea and coffee are substitutes. If the price of tea rises, consumers may switch to coffee, increasing its demand.

Complementary Goods

Complementary goods are used together. An example is cars and gasoline. If the price of cars drops, the demand for gasoline is likely to increase because more people are buying cars.

Special Considerations

Market Conditions

CED can vary depending on market conditions and demographic factors. Elasticity may change over time and across different consumer groups.

Positive and Negative Ranges

CED values can range widely. Strong substitutes or complements have higher absolute values, indicating a stronger relationship between goods.

Examples

Example 1: Substitute Goods

  • Scenario: The price of butter increases by 10%, leading to a 5% increase in the demand for margarine.
  • CED Calculation: CED = 5% / 10% = 0.5

Example 2: Complementary Goods

  • Scenario: The price of printers falls by 20%, leading to a 15% increase in the demand for printer ink.
  • CED Calculation: CED = 15% / -20% = -0.75

Historical Context

The concept of Cross Elasticity of Demand has its roots in the early 20th century when economists began exploring relationships between different products. It became widely used in market analysis and competition studies.

Applicability

Business Strategy

Businesses use CED to understand market dynamics, set prices, and develop marketing strategies.

Policy Making

Governments and regulators use CED to study the impact of taxation and subsidies on related goods.

Comparisons to Other Elasticities

Price Elasticity of Demand

While Price Elasticity of Demand (PED) measures the effect of a price change of the same good, CED is concerned with the effect of a price change of a different good.

Income Elasticity of Demand

Income Elasticity of Demand (YED) measures the responsiveness of demand to changes in consumer income, whereas CED measures the responsiveness to changes in the price of another good.

FAQs

Q1: What is a real-life example of complementary goods?

A1: A common example is smartphones and mobile apps. If the price of smartphones decreases, the demand for mobile apps typically increases.

Q2: How is CED useful for businesses?

A2: Businesses can use CED to identify relationships between products, optimize pricing strategies, and anticipate market changes.

References

  • Smith, Adam. “The Wealth of Nations.” 1776.
  • Samuelson, Paul A., and William D. Nordhaus. “Economics.” McGraw-Hill, 2009.
  • Varian, Hal R. “Intermediate Microeconomics: A Modern Approach.” W.W. Norton & Company, 2014.

Summary

Cross Elasticity of Demand (CED) is a vital economic measure that helps to determine if goods are substitutes or complements based on how the quantity demanded of one good changes with the price change of another. Business strategies and government policies often leverage this metric to comprehend market dynamics and consumer behavior better.

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