Price Elasticity of Demand (PED) (Edexcel IGCSE Economics)

Revision Note

Steve Vorster

Expertise

Economics & Business Subject Lead

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

text PED =  end text fraction numerator percent sign space change space in space quantity space demanded over denominator percent sign space change space in space price end fraction space equals space fraction numerator percent sign triangle space in thin space QD over denominator percent sign triangle in space straight P end fraction

 

  • To calculate a % change, use the following formula

begin mathsize 16px style percent sign space Change space equals space fraction numerator new space value space minus space old space value over denominator old space value end fraction space cross times space 100 end style 

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

  begin mathsize 14px style percent sign triangle QD space equals space fraction numerator 40 minus 100 over denominator 100 end fraction space cross times 100

percent sign triangle QD space equals space minus 60 percent sign end style 


Step 2: Calculate the % change in P

percent sign triangle straight P space equals space fraction numerator 15 space minus space 10 over denominator 10 end fraction space straight x space 100

percent sign triangle straight P space equals space 50 percent sign


Step 3: Insert the above values in the PED formula

PED space equals space fraction numerator percent sign triangle space in thin space QD over denominator percent sign triangle in space straight P end fraction

PED space equals space fraction numerator negative space 60 over denominator space space space space 50 end fraction

PED space equals space minus 1.2
 

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

Exam Tip

When doing elasticity calculations, make sure that your final answer is not expressed as a percentage.

You may be asked to state the formula for PED

Interpreting PED Values

The Classification of PED Values

Value and Name

Explanation

Diagram

0

Perfectly inelastic

  •  The QD is completely unresponsive to a change in P (very theoretical value e.g. heart transplant is extremely inelastic but possibly not perfectly)

Perfectly inelastic demand curve

0 →1

Relatively Inelastic

  • The %∆ in QD is less than proportional to the %∆ in P (e.g. addictive products)

2-7-1-calculation-and-determination-of-ped--relatively-inelastic

1

Unitary Elasticity

  • The % ∆ in QD is exactly equal to the %∆ in P

2-7-1-calculation-and-determination-of-ped---unitary-elasticity

1 → ∞

Relatively Elastic

  • The %∆ in QD is more than proportional to the %∆ in P (e.g. luxury products)

2-7-1-calculation-and-determination-of-ped---relatively-elastic

Perfectly Elastic

  • The %∆ in QD will fall to zero with any %∆ in P (highly theoretical elasticity)

2-7-1-calculation-and-determination-of-ped---perfectly-elastic

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Steve Vorster

Author: Steve Vorster

Steve has taught A Level, GCSE, IGCSE Business and Economics - as well as IBDP Economics and Business Management. He is an IBDP Examiner and IGCSE textbook author. His students regularly achieve 90-100% in their final exams. Steve has been the Assistant Head of Sixth Form for a school in Devon, and Head of Economics at the world's largest International school in Singapore. He loves to create resources which speed up student learning and are easily accessible by all.