Price Elasticity of Demand (PED) (AQA A Level Economics)
Revision Note
Written by: Lorraine
Reviewed by: Steve Vorster
The Definition & Calculation of PED
The law of demand states that when there is an increase in price, there will be a fall in the quantity demanded
Economists are interested by how much the quantity demanded will fall
Price elasticity of demand reveals how responsive the change in quantity demanded is to a change in price
The responsiveness is different for different types of products
Calculation of PED
PED can be calculated using the following formula
To calculate a % change, use the following formula
Worked Example
A firm raises the price of its products from $10 to $15. Its sales fall from 100 to 40 units per day. Calculate the PED of its products
Step 1: Calculate the % change in QD
Step 2: Calculate the % change in P
Step 3: Insert the above values in the PED formula
Step 4: Final answer = 1.2
The PED value will always be negative so economists ignore the sign and present the answer as 1.2
Examiner Tips and Tricks
In Paper 3 you are occasionally given the PED value and the %Δ in Price - you are then asked to find the %Δ in Qd. Follow the standard math procedure as follows:
1. Substitute the values provided into the equation
2. Substitute X for %Δ in Qd
3. Solve for X
Worked Example
The price elasticity of demand for smart phones is -2. It can be concluded that a 10% reduction in their price would be a percentage change in demand of:
A. -7.4%
B. -20.0%
C. +7.4%
D. +20.0%
Step 1: Substitute the values provided into the equation
Step 2: Substitute X for %Δ in Qd
Step 3. Solve for X
Quantity demanded increases by 20%
Interpreting PED Values
PED Classifications
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0 |
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0 →1 |
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1 |
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1 → ∞ |
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∞ |
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PED & Total Revenue
Knowledge of PED is important to firms seeking to maximise their revenue
Sales revenue will be maximised
If their product is price inelastic in demand, they should raise their prices
If their product is price elastic in demand, then they should lower their prices
This rule is used when firms choose to use [popover id="F_vUGukEe4aWRck1" label="price discrimination"] to maximise their revenue
They lower their prices for elastic sections of their market e.g. off peak train travel
They increase prices for inelastic sections of their market e.g. peak hour train trave
The benefits of this rule can be illustrated using a demand curve
A shallow curve represents a price-elastic product
A steep curve represents a price inelastic product
Diagram: Elastic Demand Curve
Diagram analysis
When a good/service is price elastic in demand, there is a greater than proportional increase in the quantity demanded to a decrease in price
A small decrease in price leads to a larger increase in QD
TR is higher once the price has been decreased
Diagram: Inelastic Demand Curve
Diagram analysis
When a good/service is price inelastic in demand, there is a smaller than proportional decrease in the quantity demanded to an increase in price
A large increase in price leads to a smaller decrease in QD
TR is higher once the price has been increased
The Factors that Influence PED
Some products are more responsive to changes in prices than other products
The factors that determine the responsiveness are called the determinants of PED and include:
Availability of substitutes: good availability of substitutes results in a higher value of PED (relatively elastic)
Addictiveness of the product: addictiveness turns products into necessities, resulting in a low value of PED (relatively inelastic)
Price of product as a proportion of income: the lower the proportion of income the price represents, the lower the PED value will be. Consumers are less responsive to price changes on cheap products (relatively inelastic)
Time period: In the short term, consumers are less responsive to price increases, resulting in a low value of PED (relatively inelastic). Over a longer period of time, consumers may feel the price increase more and will then look for substitutes, resulting in a higher value of PED (relatively elastic)
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