In simple terms
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Elasticity
9609 A Level — PED, YED, XED calculations and strategic pricing implications.
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PED measures the sensitivity of quantity demanded to a change in price.
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Formula: %ΔQD / %ΔP. The result is interpreted as an absolute value.
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Elastic (>1): Demand is highly responsive to price changes.
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Inelastic (<1): Demand is not very responsive to price changes.
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PED measures quantity response to a price change
PED measures quantity response to a price change.
Key formulas
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At a glance — side by side
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Comparing PED, YED, and XED
| Feature | Price Elasticity of Demand (PED) | Income Elasticity of Demand (YED) | Cross Elasticity of Demand (XED) |
|---|---|---|---|
| Measures responsiveness of demand to... | A change in the product's own price. | A change in consumer income. | A change in the price of another product. |
| Key Question Answered | How will a price change affect our total revenue? | How will our sales change as the economy grows or shrinks? | How are we affected by competitors' pricing, and are there complementary products? |
| Significance of the Sign | Almost always negative (inverse relationship). The absolute value is used for interpretation. | Positive = Normal Good. Negative = Inferior Good. | Positive = Substitutes. Negative = Complements. |
| Primary Strategic Use | Setting optimal prices. | Sales forecasting and product portfolio management. | Competitive analysis and identifying partnerships. |
Measures responsiveness of demand to...
Price Elasticity of Demand (PED)
Income Elasticity of Demand (YED)
Cross Elasticity of Demand (XED)
Key Question Answered
Price Elasticity of Demand (PED)
Income Elasticity of Demand (YED)
Cross Elasticity of Demand (XED)
Significance of the Sign
Price Elasticity of Demand (PED)
Income Elasticity of Demand (YED)
Cross Elasticity of Demand (XED)
Primary Strategic Use
Price Elasticity of Demand (PED)
Income Elasticity of Demand (YED)
Cross Elasticity of Demand (XED)
Full topic notes
Formal explanation with the rigour you need for the exam.
Price Elasticity of Demand (PED) and its Significance
Price Elasticity of Demand (PED) measures the responsiveness of quantity demanded to a change in a product's own price. The formula is: Percentage Change in Quantity Demanded ÷ Percentage Change in Price. The result indicates how sensitive consumers are to price adjustments. If the absolute value is greater than 1, demand is 'price elastic', meaning a small price change causes a large change in demand. If it is less than 1, demand is 'price inelastic', meaning demand is largely unresponsive to price changes. A value of 1 is 'unitary elastic'. This concept is fundamental for pricing strategy; for an inelastic good, a price rise increases total revenue, whereas for an elastic good, a price cut is needed to increase total revenue.
PED measures the sensitivity of quantity demanded to a change in price.
Formula: %ΔQD / %ΔP. The result is interpreted as an absolute value.
Elastic (>1): Demand is highly responsive to price changes.
Inelastic (<1): Demand is not very responsive to price changes.
PED determines the correct pricing strategy to maximise total revenue.
When calculating PED, always show your workings clearly. State the formula, substitute the values, and then interpret the result in the context of the business. For example, explain why a PED of -0.4 is price inelastic and what this means for the firm's revenue if they change the price.
Determinants of Price Elasticity of Demand
Several factors determine a product's PED. The most important is the availability of substitutes; the more close substitutes there are, the more elastic the demand. Secondly, the nature of the good matters: necessities, such as bread or petrol, tend to have inelastic demand, while luxuries, like foreign holidays, have elastic demand. The proportion of income a product takes up is also key; expensive items like cars are price elastic as a price change has a significant impact on a consumer's budget. Finally, time plays a role. In the short term, demand is often inelastic as consumers have little time to change habits, but over the long term, demand becomes more elastic as they can find alternatives.
The number and closeness of substitutes is the most important determinant.
Necessities tend to have inelastic demand; luxuries have elastic demand.
Products that are a high proportion of income have more elastic demand.
Demand becomes more elastic over a longer time period.
Strong brand loyalty can reduce PED, giving a firm more pricing power.
Income Elasticity of Demand (YED)
Income Elasticity of Demand (YED) measures how the quantity demanded of a product responds to a change in consumer incomes. The formula is: Percentage Change in Quantity Demanded ÷ Percentage Change in Income. Unlike PED, the sign of the YED value is crucial. A positive YED indicates a 'normal good', where demand rises as incomes rise. A negative YED signifies an 'inferior good', where demand falls as incomes rise (e.g., consumers switch from budget brands to premium brands). Normal goods can be further classified: if YED is between 0 and 1, it is an income-inelastic necessity; if YED is greater than 1, it is an income-elastic luxury. Businesses use YED to forecast demand during different phases of the economic cycle.
YED measures the sensitivity of demand to changes in consumer income.
Formula: %ΔQD / %ΔY (where Y represents income).
Positive YED signifies a Normal Good; Negative YED signifies an Inferior Good.
A YED value greater than 1 indicates a Luxury Good (a type of normal good).
YED is essential for forecasting sales during economic booms and recessions.
Cross Elasticity of Demand (XED)
Cross Elasticity of Demand (XED) measures the responsiveness of demand for one product (Good A) following a price change of another product (Good B). The formula is: % Change in Quantity Demanded of Good A ÷ % Change in Price of Good B. The sign of the XED value defines the relationship between the two products. A positive XED indicates they are 'substitutes' – a price rise for Good B leads to a rise in demand for Good A. A negative XED indicates they are 'complements' – a price rise for Good B leads to a fall in demand for Good A as well. A value close to zero suggests the goods are unrelated. Businesses use XED to understand their competitive environment and identify opportunities for complementary product strategies.
XED measures how demand for one product is affected by the price of another.
Formula: %ΔQD of Good A / %ΔP of Good B.
Positive XED indicates the products are substitutes.
Negative XED indicates the products are complements.
XED is vital for analysing competitors' actions and potential product pairings.
Strategic Applications of Elasticity
A manager uses all three elasticity measures for comprehensive strategic planning. PED is used to set the optimal price for a product to achieve revenue objectives. YED is crucial for forecasting and managing the product portfolio; a business might want a mix of normal and inferior goods to maintain sales during both economic booms and recessions. XED informs competitive strategy, helping a business anticipate the impact of a rival's price cut and decide how to react. For example, a high positive XED with a competitor's product signals a significant threat. Using these concepts together allows for more robust decisions on pricing, production levels, and marketing focus, creating a dynamic response to changing market conditions.
PED = % Δ Qd ÷ % Δ P
YED = % Δ Qd ÷ % Δ income
XED = % Δ Qd of good A ÷ % Δ P of good B
PED directly informs pricing strategies like price skimming or penetration.
YED guides sales forecasting and product mix decisions through economic cycles.
XED is used to assess competitive threats and identify complementary opportunities.
Together, they provide a powerful framework for strategic business decision-making.
In evaluation questions, link elasticity concepts to other parts of the syllabus, such as marketing (pricing strategies), operations (production levels), and finance (revenue forecasting). For example, 'A high YED for its luxury cars means the business is vulnerable to economic downturns, which could impact its cash flow forecast and ability to fund planned expansion.'
Worked examples
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Price rises from 12 (+20%). Quantity falls from 1,000 to 850 units (−15%). Calculate PED and advise on revenue.
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PED = −15% ÷ +20% = −0.75 (inelastic, |PED| < 1)
A company sells luxury handbags. Following an economic boom, average consumer income rises from 55,000 per year. As a result, quarterly sales of the handbags increase from 4,000 to 5,000 units. Calculate the Income Elasticity of Demand (YED) and advise the company.
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1. State the formula: YED = % Change in Quantity Demanded / % Change in Income
How it all connects
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Glossary
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Revision flashcards
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PED formula?
% Δ quantity demanded ÷ % Δ price.
Key takeaways
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- ✓
PED measures the sensitivity of quantity demanded to a change in price.
- ✓
Formula: %ΔQD / %ΔP. The result is interpreted as an absolute value.
- ✓
Elastic (>1): Demand is highly responsive to price changes.
- ✓
Inelastic (<1): Demand is not very responsive to price changes.
- ✓
PED determines the correct pricing strategy to maximise total revenue.
Practice — then mark it
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