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Lecture 4
Elasticity of Demand
Meaning of Elasticity
• There is inverse relationship between demand
  and price
  – A change (rise or fall) in price leads generally to a
    change in (contraction or extension) of demand

• This attribute of demand by virtue of which
  stretches or contracts under the pressure of
  price change is called Elasticity of demand

• Elasticity of demand is the measure of the
  responsiveness of demand to changing prices
Elastic & Inelastic
                       Demand
• A change in demand is not always propionate to
  change in price
   – A small change in price may lead to a great change in
     demand
   – On the other hand, there is a possibility same change in
     price may lead to a small change in demand

• In the case where change in small change in price lead
  to great change then it is called elastic demand
   – E.g. tv sets, DVD player

• Whereas, big change in price leading to small change
  in demand is called inelastic demand
   – E.g salt, bread
Different cases of Elasticity
• Perfectly Elastic or infinite elasticity

• Perfectly Inelastic or Zero elasticity

• Relatively elastic

• Relatively inelastic

• Unit elasticity
Infinite Elasticity




• Infinite elastic demand curve is parallel to x-axis
• It shows that even a small reduction in price may
  lead to unlimited extension in demand
Zero Elasticity




• The demand curve is vertical straight line. It is parallel to Y-axis.
• It shows that how much price rise or fall demand of the commodity
  remains the same
Relatively Elastic




• By relatively elastic demand we mean that with
  increase or decrease in price quantity change is
  relatively high
Relatively Inelastic




• By relatively inelastic demand we mean with decrease
  or increase in price increase or decrease of demand is
  relatively less
Unit Elasticity




• When there is similar increase quantity demanded due to change in
  price then it is called unit elasticity
• The curve which we derive is called equilateral or rectangular
  hyperbola
Relationship of Elasticity with Law of
                 DMU
• Marginal Utility varies with supply
  – It falls when the supply is increased and rises
    when the supply contracts
• Fall in MU does not occur at uniform rate in all
  commodities
• For example in case of salt, we soon get fed up
  and the MU falls very rapidly while in case of
  luxuries MU comes down gradually
Types of Elasticity
• Price Elasticity

• Income Elasticity

• Cross Elasticity
Price Elasticity
• Price elasticity measures responsiveness of
  potential buyers to change in price
• It is the ratio of percentage change in quantity
  demanded in response to a percentage
  change in price
• Price Elasticity
  PE= Proportionate change in amount demanded
          Proportionate change in price
  PE=∆q/q ÷ ∆p/p
Income Elasticity
• Income elasticity is a measure of
  responsiveness of potential buyers to change
  in income
• Income Elasticity
  IE=Proportionate change in the quantity purchased
           Proportionate change in income
  IE= ∆q/q ÷ ∆y/y
Cross Elasticity
• Cross elasticity shows change in demand of
  one product due to change in price of other
• Cross elasticity
  CE= Proportionate change in purchase of commodity X
       Proportionate change in price of commodity Y

  CE= ∆qx/qx ÷ ∆py/py
Substitution Elasticity
• We make use of MRS discussed in IC Analysis
• The elasticity of substitutions shows to what extent one
  commodity can be substituted for another without making
  any change in the total level of satisfaction derived by the
  consumer
• The elasticity of substitution of two goods is the measure of
  the ease or difficulty with which one commodity can be
  substituted for another
• There are two extremes:
   – The elasticity of substitution may be infinite
       • The goods which are perfect substitues
   – The elatsticity of substitution may be zero
       • Goods are not substitutes at all. They have to be used in fixed
         proportion
       • Between these two limits there can be various degrees of substitution
Substitution Elasticity
• When the substitution of one good for
  another is difficult
  – A small change in the ratio of the two goods will
    bring about a great change in their marginal rate
    of substitution
• When the substitution of one good for
  another is easy
  – A small change in their proportion with the
    consumer will not make much change in their
    MRS
Elasticity of substitution
• Elasticity of substitution
  E= Δ(qx/qy) ÷ Δ(ΔY/ΔX)
  qx/qy ΔY/ΔX
  qx/qy= the original proportion between quantities of goods X and Y


  Δ(qx/qy) = small change in the proportion of goods X and Y

  ΔY/ΔX = MRS of X for Y

  Δ(ΔY/ΔX)= the change in the MRS of X for Y
Relationship between
                    PE, IE and SE
• ep=K.Xei+(1-KX)es
   –   ep= price elasticity of demand
   –   ei= income elasticity of demand
   –   es= Substitution elasticity of demand
   –   KX is the proportion of the consumer’s income spent on commodity X

• In the above equation KXei shows the influence of
  income effect on the price elasticity of demand

• (1-KX)es shows the substitution effect. A fall in price
  of X will lead to its substitution for other goods
Factors Determining
             Price Elasticity of Demand
• Necessaries
  – Elasticity of price of necessaries e.g. salt, wheat, may
    be inelastic
• Luxuries
  – Demand for luxuries e.g. refrigerator, TV, car, is elastic
• Proportion of Total Expenditure
  – If a consumption of good absorbs only a small
    proportion of total expenditure e.g. salt etc. the
    demand will not be much affected by price
• Substitutes
  – Elasticity also depends on availability of substitutes
    e.g tea and coffee
• Goods having several Uses
  – Demand of good having several uses is elastic e.g. coal
Factors Determining
          Price Elasticity of Demand
• Joint Demand
   – E.g. carriages become cheap but price of horses continues
     to rule high demand of carriages will not go up.
• Goods the use of which can be postponed
   – E.g. building a house, a furniture etc. can be postponed
     due to wait till fall in its prices
• Level of prices
   – If some thing is very expensive its little decrease in price
     will not do much. Similarly if some thing is too cheap its
     demand will also not increase much as people would have
     bought
• Market Imperfections
   – The consumer may not be aware of the change in prices in
     the market
• Technological factors
   – E.g Tonga and car
Measurement of Elasticity

• Total Outlay Method

• Proportional Method

• Geometrical Method
Total Outlay Method
• According to this method, we compare the total outlay
  of the purchaser (or total revenue i.e. total value of
  sales from the seller’s point of view) before and after
  the variations in price
• Elasticity of demand is expressed in three ways
   – Unity
      • It is unity, when, the price has changed, the total amount spent
        remains the same
      • The rise in price is exactly balanced by reduction in purchases and
        vice versa
   – Greater than unity
      • Elasticity is greater than unity, (the demand is elastic) between
        two prices
      • When the price falls, total amount spent increases and vice versa
   – Less than unity
      • Elasticity is less than unity, (the demand is inelastic), if with a rise
        in price total amount spent increases and with decrease in price
        total amount spent decreases
Example
                        Price of Pencil Per             Quantity            Total Outlay
                               Dozen (Rs.)            Demanded                (Revenue)


1                                         8                     3                    24

2                                         7                     4                    28

3                                         6                     5                    30

4                                         5                     6                    30

5                                         4                     7                    28

6                                         3                     8                    24

Between S No. 1 and 2, and 2 and 3 price elasticity is greater than unity
Between S No. 3 and 4, price elasticity is unity
Between S No. 4 and 5, and 5 and 6 price elasticity is less than unity
Proportional Method
• In this method, we compare the percentage
  change in price with the percentage change in
  demand

• Price elasticity
   = Proportionate change in amount demanded
            Proportionate change in Price
   = change in demand + change in price
     amount demanded          Price
Geometrical Method: Point Elasticity
• This method tells us how to measure elasticity
  of demand at any point on demand curve
Arc Elasticity
• We express the price change as a proportion of the average of the
  initial price and change in price
• Arc Elasticity
   =Δq/Δp X p/q
Practical Applications
• Taxation
   – More revenue if tax is collected from the goods which demand is
     inelastic
• Monopoly Price
   – More price incase of inelastic demand
• Output
   – Demand of consumer and market e.g. newspaper
• Wages
   – If DD of any particular labour is inelastic, it is easy to raise wages
• Effect on the economy
   – The working of economy is affected by the nature of consumer
     demand
   – Producer’s demand for different factors of production also affect the
     economy
• Economic Policies
   – In regulation of economy it helps
• International Trade
   – The nature of demand for the internationally traded goods is helpful in
     determining the quantum of gain accruing to the respective countries

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Lecture 4

  • 2. Meaning of Elasticity • There is inverse relationship between demand and price – A change (rise or fall) in price leads generally to a change in (contraction or extension) of demand • This attribute of demand by virtue of which stretches or contracts under the pressure of price change is called Elasticity of demand • Elasticity of demand is the measure of the responsiveness of demand to changing prices
  • 3. Elastic & Inelastic Demand • A change in demand is not always propionate to change in price – A small change in price may lead to a great change in demand – On the other hand, there is a possibility same change in price may lead to a small change in demand • In the case where change in small change in price lead to great change then it is called elastic demand – E.g. tv sets, DVD player • Whereas, big change in price leading to small change in demand is called inelastic demand – E.g salt, bread
  • 4. Different cases of Elasticity • Perfectly Elastic or infinite elasticity • Perfectly Inelastic or Zero elasticity • Relatively elastic • Relatively inelastic • Unit elasticity
  • 5. Infinite Elasticity • Infinite elastic demand curve is parallel to x-axis • It shows that even a small reduction in price may lead to unlimited extension in demand
  • 6. Zero Elasticity • The demand curve is vertical straight line. It is parallel to Y-axis. • It shows that how much price rise or fall demand of the commodity remains the same
  • 7. Relatively Elastic • By relatively elastic demand we mean that with increase or decrease in price quantity change is relatively high
  • 8. Relatively Inelastic • By relatively inelastic demand we mean with decrease or increase in price increase or decrease of demand is relatively less
  • 9. Unit Elasticity • When there is similar increase quantity demanded due to change in price then it is called unit elasticity • The curve which we derive is called equilateral or rectangular hyperbola
  • 10. Relationship of Elasticity with Law of DMU • Marginal Utility varies with supply – It falls when the supply is increased and rises when the supply contracts • Fall in MU does not occur at uniform rate in all commodities • For example in case of salt, we soon get fed up and the MU falls very rapidly while in case of luxuries MU comes down gradually
  • 11. Types of Elasticity • Price Elasticity • Income Elasticity • Cross Elasticity
  • 12. Price Elasticity • Price elasticity measures responsiveness of potential buyers to change in price • It is the ratio of percentage change in quantity demanded in response to a percentage change in price • Price Elasticity PE= Proportionate change in amount demanded Proportionate change in price PE=∆q/q ÷ ∆p/p
  • 13. Income Elasticity • Income elasticity is a measure of responsiveness of potential buyers to change in income • Income Elasticity IE=Proportionate change in the quantity purchased Proportionate change in income IE= ∆q/q ÷ ∆y/y
  • 14. Cross Elasticity • Cross elasticity shows change in demand of one product due to change in price of other • Cross elasticity CE= Proportionate change in purchase of commodity X Proportionate change in price of commodity Y CE= ∆qx/qx ÷ ∆py/py
  • 15. Substitution Elasticity • We make use of MRS discussed in IC Analysis • The elasticity of substitutions shows to what extent one commodity can be substituted for another without making any change in the total level of satisfaction derived by the consumer • The elasticity of substitution of two goods is the measure of the ease or difficulty with which one commodity can be substituted for another • There are two extremes: – The elasticity of substitution may be infinite • The goods which are perfect substitues – The elatsticity of substitution may be zero • Goods are not substitutes at all. They have to be used in fixed proportion • Between these two limits there can be various degrees of substitution
  • 16. Substitution Elasticity • When the substitution of one good for another is difficult – A small change in the ratio of the two goods will bring about a great change in their marginal rate of substitution • When the substitution of one good for another is easy – A small change in their proportion with the consumer will not make much change in their MRS
  • 17. Elasticity of substitution • Elasticity of substitution E= Δ(qx/qy) ÷ Δ(ΔY/ΔX) qx/qy ΔY/ΔX qx/qy= the original proportion between quantities of goods X and Y Δ(qx/qy) = small change in the proportion of goods X and Y ΔY/ΔX = MRS of X for Y Δ(ΔY/ΔX)= the change in the MRS of X for Y
  • 18. Relationship between PE, IE and SE • ep=K.Xei+(1-KX)es – ep= price elasticity of demand – ei= income elasticity of demand – es= Substitution elasticity of demand – KX is the proportion of the consumer’s income spent on commodity X • In the above equation KXei shows the influence of income effect on the price elasticity of demand • (1-KX)es shows the substitution effect. A fall in price of X will lead to its substitution for other goods
  • 19. Factors Determining Price Elasticity of Demand • Necessaries – Elasticity of price of necessaries e.g. salt, wheat, may be inelastic • Luxuries – Demand for luxuries e.g. refrigerator, TV, car, is elastic • Proportion of Total Expenditure – If a consumption of good absorbs only a small proportion of total expenditure e.g. salt etc. the demand will not be much affected by price • Substitutes – Elasticity also depends on availability of substitutes e.g tea and coffee • Goods having several Uses – Demand of good having several uses is elastic e.g. coal
  • 20. Factors Determining Price Elasticity of Demand • Joint Demand – E.g. carriages become cheap but price of horses continues to rule high demand of carriages will not go up. • Goods the use of which can be postponed – E.g. building a house, a furniture etc. can be postponed due to wait till fall in its prices • Level of prices – If some thing is very expensive its little decrease in price will not do much. Similarly if some thing is too cheap its demand will also not increase much as people would have bought • Market Imperfections – The consumer may not be aware of the change in prices in the market • Technological factors – E.g Tonga and car
  • 21. Measurement of Elasticity • Total Outlay Method • Proportional Method • Geometrical Method
  • 22. Total Outlay Method • According to this method, we compare the total outlay of the purchaser (or total revenue i.e. total value of sales from the seller’s point of view) before and after the variations in price • Elasticity of demand is expressed in three ways – Unity • It is unity, when, the price has changed, the total amount spent remains the same • The rise in price is exactly balanced by reduction in purchases and vice versa – Greater than unity • Elasticity is greater than unity, (the demand is elastic) between two prices • When the price falls, total amount spent increases and vice versa – Less than unity • Elasticity is less than unity, (the demand is inelastic), if with a rise in price total amount spent increases and with decrease in price total amount spent decreases
  • 23. Example Price of Pencil Per Quantity Total Outlay Dozen (Rs.) Demanded (Revenue) 1 8 3 24 2 7 4 28 3 6 5 30 4 5 6 30 5 4 7 28 6 3 8 24 Between S No. 1 and 2, and 2 and 3 price elasticity is greater than unity Between S No. 3 and 4, price elasticity is unity Between S No. 4 and 5, and 5 and 6 price elasticity is less than unity
  • 24. Proportional Method • In this method, we compare the percentage change in price with the percentage change in demand • Price elasticity = Proportionate change in amount demanded Proportionate change in Price = change in demand + change in price amount demanded Price
  • 25. Geometrical Method: Point Elasticity • This method tells us how to measure elasticity of demand at any point on demand curve
  • 26. Arc Elasticity • We express the price change as a proportion of the average of the initial price and change in price • Arc Elasticity =Δq/Δp X p/q
  • 27. Practical Applications • Taxation – More revenue if tax is collected from the goods which demand is inelastic • Monopoly Price – More price incase of inelastic demand • Output – Demand of consumer and market e.g. newspaper • Wages – If DD of any particular labour is inelastic, it is easy to raise wages • Effect on the economy – The working of economy is affected by the nature of consumer demand – Producer’s demand for different factors of production also affect the economy • Economic Policies – In regulation of economy it helps • International Trade – The nature of demand for the internationally traded goods is helpful in determining the quantum of gain accruing to the respective countries