Cambridge O Level2281

Price elasticity of demand (PED)

Economics 2281 Chapter Notes

What this chapter covers

Price elasticity of demand (PED) - Definition of PEDPrice elasticity of demand (PED) - Calculation of PEDPrice elasticity of demand (PED) - Determinants of PEDPrice elasticity of demand (PED) - PED, consumer expenditure and firms’ revenuePrice elasticity of demand (PED) - Significance of PED
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1. Understanding Price Elasticity of Demand

Price elasticity of demand, or PED, measures how much the quantity demanded of a product changes when its price changes. Think of it as a measure of 'responsiveness'. If a small price change causes a big change in demand, we say demand is 'price elastic' – like a stretchy elastic band. If a big price change causes only a small change in demand, we say demand is 'price inelastic' – like a stiff, unstretchable rope. Understanding PED is crucial for firms when setting prices and for governments when deciding on taxes.

Key term

Price Elasticity of Demand (PED): A measure of the responsiveness of the quantity demanded of a good to a change in its price.

Worked example 12 marks

The price of a chocolate bar increases by 15%, and the quantity demanded falls by 30%. Without calculating the exact figure, is the demand for this chocolate bar price elastic or price inelastic? Explain your reasoning.

  1. 1

    Step 1: Compare the percentage change in quantity demanded with the percentage change in price.

  2. 2

    Step 2: The percentage fall in quantity demanded (30%) is greater than the percentage rise in price (15%).

  3. 3

    Step 3: This means that consumers are very responsive to the price change.

  4. 4

    Step 4: Therefore, the demand for the chocolate bar is price elastic.

Recap

  • PED measures the responsiveness of quantity demanded to a change in price.
  • Price elastic demand means quantity demanded is very responsive to price changes (% change in Qd > % change in P).
  • Price inelastic demand means quantity demanded is not very responsive to price changes (% change in Qd < % change in P).
  • Firms use PED to make strategic pricing decisions.

Quick check

  1. If the price of petrol rises significantly but people's demand for it barely changes, is demand for petrol price elastic or inelastic?1 mark

2. Calculating and Interpreting PED

To get a precise measure of elasticity, we use a formula. The PED for a product is calculated by dividing the percentage change in quantity demanded by the percentage change in price. The result is a number that tells us the type of elasticity. A value greater than 1 means demand is elastic. A value less than 1 means demand is inelastic. A value equal to 1 means demand is unit elastic. Note: Because price and quantity demanded move in opposite directions, the PED value is technically always negative. However, economists usually ignore the minus sign and use the absolute value.

PED = (% Change in Quantity Demanded) / (% Change in Price)

% Change in Quantity Demanded = ((New Quantity - Original Quantity) / Original Quantity) × 100

% Change in Price = ((New Price - Original Price) / Original Price) × 100

Key term

Unit Elastic Demand: When the percentage change in quantity demanded is exactly equal to the percentage change in price, resulting in a PED value of 1.

Common pitfall

A common mistake is putting the percentage change in price in the numerator. Remember 'Quantity over Price' – Q comes before P in the alphabet.

Worked example 14 marks

The price of a bus ticket increases from $2.00 to $2.50. As a result, the number of tickets sold per day falls from 1,000 to 800. Calculate the PED for bus tickets and state whether demand is elastic or inelastic.

  1. 1

    Step 1: Calculate the percentage change in price. Change in price = $2.50 - $2.00 = $0.50. % Change in Price = ($0.50 / $2.00) × 100 = 25%.

  2. 2

    Step 2: Calculate the percentage change in quantity demanded. Change in quantity = 800 - 1,000 = -200. % Change in Quantity Demanded = (-200 / 1,000) × 100 = -20%.

  3. 3

    Step 3: Calculate PED using the formula. PED = % Change in Qd / % Change in P = -20% / 25% = -0.8.

  4. 4

    Step 4: Interpret the result. The PED value is 0.8 (ignoring the negative sign). Since 0.8 is less than 1, demand is price inelastic.

Recap

  • The formula for PED is (%ΔQd) / (%ΔP).
  • If PED > 1, demand is price elastic.
  • If PED < 1, demand is price inelastic.
  • If PED = 1, demand is unit elastic.
  • Always use the original price and quantity as the base for percentage calculations.

Quick check

  1. If a product's PED is calculated to be 2.3, is its demand price elastic or inelastic?1 mark
  2. If price falls by 10% and quantity demanded rises by 5%, what is the PED?2 marks

3. PED and Total Revenue Strategy

For a business, the most important application of PED is its link to total revenue (Total Revenue = Price × Quantity). The correct pricing strategy depends entirely on the PED of the product. If demand is price elastic (>1), a price cut will lead to a proportionally larger increase in quantity sold, thus increasing total revenue. If demand is price inelastic (<1), a price increase will lead to a proportionally smaller decrease in quantity sold, also increasing total revenue. Getting this relationship wrong can be a costly mistake for a firm.

Total Revenue = Price × Quantity

Key term

Total Revenue: The total amount of money a firm receives from selling its goods or services (Price × Quantity).

Examiner insight

Examiners frequently ask students to advise a firm on pricing. A top-level answer must explicitly link the PED value (elastic/inelastic) to the impact on total revenue to justify the advice.

Worked example 14 marks

A football club discovers that the PED for its match-day tickets is 0.7. The club wants to increase its total revenue from ticket sales. Should it raise or lower its prices? Explain your answer.

  1. 1

    Step 1: Identify the PED value. The PED is 0.7.

  2. 2

    Step 2: Interpret the PED. Since 0.7 is less than 1, demand for the tickets is price inelastic.

  3. 3

    Step 3: Explain what 'price inelastic' means in this context. This means that if the price changes, the quantity demanded will change by a smaller percentage.

  4. 4

    Step 4: Apply the rule for total revenue. For inelastic goods, an increase in price leads to an increase in total revenue because the fall in quantity demanded is proportionally smaller than the rise in price.

  5. 5

    Step 5: Conclude with advice. The club should raise its ticket prices to increase total revenue.

Recap

  • If demand is elastic (PED > 1), lower the price to increase total revenue.
  • If demand is inelastic (PED < 1), raise the price to increase total revenue.
  • If demand is unit elastic (PED = 1), changing the price will not change total revenue.
  • Total Revenue is calculated as Price multiplied by Quantity.

Quick check

  1. A firm selling a product with a PED of 1.5 lowers its price. What will happen to its total revenue?1 mark

4. Factors Affecting Price Elasticity

The PED of a product is not random; it is determined by several factors. The most important are: 1. Availability of Substitutes: The more substitutes a product has, the more elastic its demand. If the price of one brand of coffee rises, people can easily switch to another. 2. Necessity vs. Luxury: Necessities, like bread or electricity, tend to have inelastic demand because people need them regardless of price. Luxuries, like sports cars or designer watches, have elastic demand. 3. Proportion of Income: Products that take up a tiny proportion of a person's income, like a box of matches, have inelastic demand. Products that are a major expense, like a car or a holiday, have elastic demand. 4. Time Period: In the long run, demand becomes more elastic as consumers have more time to find alternatives or change their habits.

Key term

Substitute Good: A good that can be used in place of another good to satisfy a similar want.

Fun fact

The demand for salt is extremely inelastic (a PED close to 0.1). It has no substitutes for its taste, is a necessity in cooking, and costs a tiny fraction of a household's income. Even if the price doubled, most people would buy the same amount.

Worked example 14 marks

Explain two reasons why the price elasticity of demand for a specific brand of bottled water, like Evian, is likely to be higher (more elastic) than the PED for tap water.

  1. 1

    Reason 1 (Substitutes): Evian has many direct substitutes (other brands of bottled water like Volvic, own-brand supermarket water, etc.). If Evian's price rises, consumers can easily switch. Tap water has very few direct substitutes, making its demand inelastic.

  2. 2

    Reason 2 (Necessity vs. Luxury): Tap water is a necessity for drinking, cooking, and cleaning. Demand is therefore highly inelastic. Bottled water, especially a premium brand like Evian, is often considered a luxury or a convenience good. Consumers can easily forego it if the price rises, making its demand elastic.

Recap

  • More substitutes mean more elastic demand.
  • Necessities tend to have inelastic demand, while luxuries have elastic demand.
  • Goods that are a small part of one's income have more inelastic demand.
  • Demand becomes more elastic over a longer time period.
  • Habit-forming goods or those with strong brand loyalty have more inelastic demand.

Quick check

  1. Name two factors that would make the demand for a product more price elastic.2 marks

5. The Spectrum of Elasticity

PED values exist on a spectrum, which can be visualized with different demand curves. There are five key categories: 1. Perfectly Inelastic (PED = 0): Quantity demanded does not change at all when price changes. The demand curve is a vertical line. 2. Inelastic (0 < PED < 1): Quantity demanded changes by a smaller percentage than price. The demand curve is steep. 3. Unit Elastic (PED = 1): Quantity demanded changes by the exact same percentage as price. 4. Elastic (PED > 1): Quantity demanded changes by a larger percentage than price. The demand curve is relatively flat. 5. Perfectly Elastic (PED = ∞): Any increase in price causes quantity demanded to fall to zero. The demand curve is a horizontal line. This occurs in highly competitive markets where all firms sell an identical product.

Key term

Perfectly Inelastic Demand: When the quantity demanded does not respond at all to a change in price, resulting in a PED of 0.

Common pitfall

Students often confuse a steep demand curve with a high PED value. Remember: Steep = Inelastic = Low PED number (less than 1).

Worked example 13 marks

The diagram shows the demand curve for a life-saving drug. What is the value of PED for this product? Give a reason for your answer.

  1. 1

    Step 1: Observe the shape of the demand curve. It is a vertical line.

  2. 2

    Step 2: Interpret the vertical demand curve. It shows that the quantity demanded (Q1) remains constant regardless of whether the price is P1, P2, or any other price.

  3. 3

    Step 3: Relate this to the PED concept. Since the quantity demanded does not change at all in response to a price change, the responsiveness is zero.

  4. 4

    Step 4: State the PED value. The PED for this product is 0. It is perfectly inelastic.

Recap

  • A vertical demand curve means demand is perfectly inelastic (PED = 0).
  • A steep demand curve means demand is inelastic (PED < 1).
  • A flat demand curve means demand is elastic (PED > 1).
  • A horizontal demand curve means demand is perfectly elastic (PED = ∞).
  • The flatter the curve, the more elastic the demand.

Quick check

  1. What is the PED value for a good with a horizontal demand curve?1 mark
  2. Draw a diagram to represent a product with a PED between 0 and 1.2 marks

End-of-chapter exercise

Test yourself on the whole chapter. Work through these before moving on.

  1. Define 'price elasticity of demand' and state the formula used to calculate it.3 marks
  2. The price of a smartphone app is reduced from $5.00 to $3.00. As a result, weekly downloads increase from 2,000 to 5,000. Calculate the PED for this app and interpret your result.4 marks
  3. Explain why the PED for a package holiday is likely to be price elastic, while the PED for a prescription medicine is likely to be price inelastic.4 marks
  4. A local bakery knows that the PED for its bread is 0.4. To increase total revenue, should the bakery increase or decrease the price of its bread? Explain your reasoning.4 marks
  5. Draw and label a diagram showing a perfectly elastic demand curve. Give an example of a market where a single firm might face such a demand curve.3 marks
  6. The PED for foreign holidays is estimated to be 4.0. If tour operators increase their prices by 5%, what would be the expected percentage change in the quantity demanded of foreign holidays?2 marks
  7. A government wants to raise a large amount of tax revenue. Should it place an indirect tax on a good with elastic demand or a good with inelastic demand? Explain your choice.5 marks
  8. Explain how the proportion of income spent on a good affects its price elasticity of demand.3 marks
  9. An airline is operating a flight that is half-empty. The PED for last-minute tickets is known to be elastic. Using your knowledge of PED and total revenue, advise the airline on its pricing strategy for the remaining seats.6 marks
  10. 'A price cut will always lead to an increase in sales and therefore an increase in total revenue.' Discuss this statement with reference to the concept of price elasticity of demand.8 marks

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