1. Calculating Price Elasticity of Demand (PED)
Price Elasticity of Demand (PED) measures how much the quantity demanded of a product changes in response to a change in its price. It's a crucial concept for firms when they make pricing decisions. A high PED means consumers are very responsive to price changes (elastic demand), while a low PED means they are not very responsive (inelastic demand). The value is always negative because price and quantity demanded move in opposite directions, but we usually ignore the minus sign and focus on the number's size.
PED = (% Change in Quantity Demanded) / (% Change in Price)
% Change in Quantity Demanded = (Change in Quantity / Original Quantity) × 100
% Change in Price = (Change in Price / Original Price) × 100
Key term
Examiner insight
Common pitfall
Worked example 14 marks
The price of a smartphone rises from $500 to $550. As a result, weekly demand falls from 10,000 units to 8,500 units. Calculate the PED for this smartphone.
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Step 1: Calculate the percentage change in quantity demanded.
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% Change in Quantity Demanded = [(8,500 - 10,000) / 10,000] × 100 = (-1,500 / 10,000) × 100 = -15%
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Step 2: Calculate the percentage change in price.
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% Change in Price = [($550 - $500) / $500] × 100 = ($50 / $500) × 100 = 10%
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Step 3: Calculate PED.
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PED = % Change in Quantity Demanded / % Change in Price = -15% / 10% = -1.5
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Step 4: State the result. The PED is 1.5 (ignoring the negative sign). Since 1.5 > 1, demand is price elastic.
Recap
- PED measures the responsiveness of demand to a price change.
- The formula for PED is (% change in quantity demanded) / (% change in price).
- If PED > 1, demand is price elastic.
- If PED < 1, demand is price inelastic.
- If PED = 1, demand is unit elastic.
Quick check
- If a 20% rise in price causes a 5% fall in quantity demanded, what is the PED?2 marks
- Is the demand in the previous question price elastic or price inelastic?1 mark