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Chapter Three


More on demand:
   elasticities
Elasticity Learning Objectives

• What is the best way of measuring the
  responsiveness of demand?
• What is the best way of measuring the
  responsiveness of supply?
1. THE PRICE ELASTICITY OF
            DEMAND
Learning Objectives
2. Explain the concept of price elasticity of
    demand and its calculation.
3. Explain what it means for demand to be price
    inelastic, unit price elastic, price elastic,
    perfectly price inelastic, and perfectly price
    elastic.
4. Explain how and why the value of the price
    elasticity of demand changes along a linear
    demand curve.
5. Understand the relationship between total
    revenue and price elasticity of demand.
6. Discuss the determinants of price elasticity of
    demand.
Elasticity

• The elasticity of demand is the percentage
  decrease in quantity that results from a small
  percentage increase in price.
• Represented by the Greek letter Epsilon ε
• A one-percent increase in price will increase
  total revenue when the elasticity of demand is
  less than one
  – defined as an inelastic demand
• A price increase will decrease total revenue
  when the elasticity of demand is greater than
  one is defined as an elastic demand
Elasticity
•   The price elasticity of demand is the
    percentage change in quantity demanded
    of a particular good or service divided by
    the percentage change in the price of
    that good or service, all other things
    unchanged.

    eD = % change in quantity demanded
              % change in price
1.1 Computing the Price
        Elasticity of Demand
•   arc elasticity is a measure of elasticity
    based on percentage changes relative to
    the average value of each variable
    between two points.
                               ∆Q / Q
    EQUATION 1.2          eD =
                               ∆P / P
Movement from Point A to B (or B to A)
A          shows that a $.10 change in price
        changes the number of rides per day by
    B                   20,000.
Figure 3.1. Elasticities for Linear
             Demand
1.3 The Price Elasticity of Demand
      and Changes in Total Revenue

•   Total Revenue (TR=P*Q) is a firm’s
    output multiplied by the price at which it
    sells that output.
•   Price elastic refers to a situation in
    which the absolute value of the price
    elasticity of demand is greater than 1.
•   Unit price elastic refers to a situation
    in which the absolute value of the price
    elasticity of demand is equal to 1.
•   Price inelastic refers to a situation in
    which the absolute value of the price of
    elasticity of demand is less than 1.
Changes in Total Revenue and a
    Linear Demand Curve

       Elastic Region


   A                    Unit elastic
       B


                                           Inelastic Region


                              E
                                       F
Price Elastic
An increase in price ...                        reduces total revenue.
A reduction in price...                         Increases total revenue.
  Total revenue moves in the direction of the quantity change.
                            Price Inelastic
An increase in price…                           Increases total revenue.
A reduction in price…                           Reduces total revenue.
    Total revenue moves in the direction of the price change.
                           Unit price Elastic
An increase in price…                           No change in total revenue.
A reduction in price…                           No change in total revenue.
        Total revenue does not change as price changes.
1.4 Constant Price Elasticity of
             Demand Curves

•   Perfectly inelastic (insensitive to price
    changes) refers to a situation in which
    the price elasticity of demand is zero.
•   Perfectly elastic (sensitive to price
    changes) refers to a situation in which
    the price elasticity of demand is infinite.
Constant Elasticity Examples
1.5 Determinants of the Price
              Elasticity of Demand

•       Availability of substitutes
    –     If there are lots of close substitute goods to
          choose from consumers can switch easily
•       Importance in household budgets
    –     Price of good relative to income
•       Time
    –     In the short run it is often difficult to find
          substitutes.
2. RESPONSIVENESS OF DEMAND TO
            OTHER FACTORS
Learning Objectives
2.   Explain the concept of income elasticity of demand and its
     calculation.
3.   Classify goods as normal or inferior depending on their income
     elasticity of demand.
4.   Explain the concept of cross price elasticity of demand and its
     calculation.
5.   Classify goods as substitutes or complements depending on
     their cross price elasticity of demand.
2.1 Income Elasticity of Demand

•   Income elasticity of demand is the
    percentage change in quantity demanded at a
    specific price divided by the percentage change
    in income that produced the demand change,
    all other things unchanged.

    EQUATION 2.1


                % change in quantity demanded
           eY =
                     % change in income
2.1 Income Elasticity of Demand



           Normal Good (e.g. DVD’s)

 An increase in income…           Increases demand.


 A decrease in income…            Decreases demand.

       Inferior Good (e.g. used clothing)

 An increase in income…           Decreases demand.


 A decrease in income…            Increases demand.
2.2 Cross Price Elasticity of Demand

•   Cross price elasticity of demand is the percentage change in
    the quantity demanded of one good or service at a specific price
    divided by the percentage change in the price of a related good
    or service.

    EQUATION 2.2




                 % change in quantity demanded of good A
      e A, B   =
                       % change in price of good B
2.2 Cross Price Elasticity of Demand



               Normal Good (e.g. DVD’s)

 An increase in PB…           Increases demand for good A.


 A decrease in PB…            Decreases demand for good A.

           Inferior Good (e.g. used clothing)

 An increase in PB…            Decreases demand for good A.


 A decrease in PB…             Increases demand for good A.
3. PRICE ELASTICITY OF SUPPLY


Learning Objectives
2.   Explain the concept of elasticity of supply and its calculation.
3.   Explain what it means for supply to be price inelastic, unit price
     elastic, price elastic, perfectly price inelastic, and perfectly price
     elastic.
4.   Explain why time is an important determinant of price elasticity
     of supply.
5.   Apply the concept of price elasticity of supply to the labor
     supply curve.
3. PRICE ELASTICITY OF SUPPLY

•   Price elasticity of supply is the ratio of the
    percentage change in quantity supplied of a
    good or service to the percentage change in its
    price, all other things unchanged.

    EQUATION 3.1

                % change in quantity supplied
           es =
                     % change in price
Increase in Apartment Rents Depends on How
Responsive Supply Is



                                  S1



 R1                                         S2
 R2
 R0



                                       D1        D2


                   Q0   Q1   Q2
Increase in Apartment Rents Depends
    on How Responsive Supply Is


                          S



                 eS = ∞
                                       S
                              eS = 0
3.1 Time: An Important Determinant of
            the Elasticity of Supply


•   In the short run supply is likely to
    be inelastic.
•   In the long run supply is likely to be
    more elastic.
Selected Elasticity Estimates
         Product       Price          Income              Product            Cross price
                     elasticity      elasticity                               elasticity

Food                    -2.58          0.20       Alcohol with respect to       -0.05
(long-run)                                        the price of heroin

Beer                -0.90 to -1.50     0.40       Fuel with respect to the      -0.48
                                                  price of transport

Heroin                  -1.00          0.00       Beer with respect to the      0.00
                                                  price of wine

Coke                    -1.90          0.60       Poultry with respect to       0.23
                                                  the price of ground beef

Pepsi                   -2.22          1.72       Coke with respect to          0.61
                                                  the price of Pepsi

Gasoline                -0.10           -----     Pepsi with respect to         0.80
(short-run)                                       the price of Coke

Transportation          -2.08           -----
(long-run)
Selected Elasticity Estimates

          Product                Price
                             elasticity of
                                supply
   Physicians (specialist)      -0.30

   Physicians (primary           0.00
   care)

   Physician (young              0.20
   male)

   Physicians (young             0.50
   female)

   Milk (short run)              0.36

   Milk (long run)               0.50

   Child care labor              2.00
Elasticity of supply

• The percentage increase in quantity supplied
  resulting from a small percentage increase in
  price.

• Analogous to the elasticity of demand
  – A unit-free measure of the responsiveness of supply
    to a price change
  – Defined as the percentage increase in quantity
    supplied resulting from a small percentage increase in
    price.
Supply and Demand Changes Learning
             Objectives

• What are the effects of changes in supply
  and demand on price and quantity?
• What is a useful approximation of these
  changes?
When the price of a complement
              changes…

• What happens to the equilibrium price and
  quantity of the good?
• How much do the price and quantity traded
  change in response to a change in demand?
• The equilibrium price p* is given determined at
  the point where the quantity supplied equals to
  the quantity demanded, or by the solution to the
  equation:
                 qd(p*)=qs(p*)

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Lecture 3

  • 1. Chapter Three More on demand: elasticities
  • 2. Elasticity Learning Objectives • What is the best way of measuring the responsiveness of demand? • What is the best way of measuring the responsiveness of supply?
  • 3. 1. THE PRICE ELASTICITY OF DEMAND Learning Objectives 2. Explain the concept of price elasticity of demand and its calculation. 3. Explain what it means for demand to be price inelastic, unit price elastic, price elastic, perfectly price inelastic, and perfectly price elastic. 4. Explain how and why the value of the price elasticity of demand changes along a linear demand curve. 5. Understand the relationship between total revenue and price elasticity of demand. 6. Discuss the determinants of price elasticity of demand.
  • 4. Elasticity • The elasticity of demand is the percentage decrease in quantity that results from a small percentage increase in price. • Represented by the Greek letter Epsilon ε • A one-percent increase in price will increase total revenue when the elasticity of demand is less than one – defined as an inelastic demand • A price increase will decrease total revenue when the elasticity of demand is greater than one is defined as an elastic demand
  • 5. Elasticity • The price elasticity of demand is the percentage change in quantity demanded of a particular good or service divided by the percentage change in the price of that good or service, all other things unchanged. eD = % change in quantity demanded % change in price
  • 6. 1.1 Computing the Price Elasticity of Demand • arc elasticity is a measure of elasticity based on percentage changes relative to the average value of each variable between two points. ∆Q / Q EQUATION 1.2 eD = ∆P / P
  • 7. Movement from Point A to B (or B to A) A shows that a $.10 change in price changes the number of rides per day by B 20,000.
  • 8. Figure 3.1. Elasticities for Linear Demand
  • 9. 1.3 The Price Elasticity of Demand and Changes in Total Revenue • Total Revenue (TR=P*Q) is a firm’s output multiplied by the price at which it sells that output. • Price elastic refers to a situation in which the absolute value of the price elasticity of demand is greater than 1. • Unit price elastic refers to a situation in which the absolute value of the price elasticity of demand is equal to 1. • Price inelastic refers to a situation in which the absolute value of the price of elasticity of demand is less than 1.
  • 10. Changes in Total Revenue and a Linear Demand Curve Elastic Region A Unit elastic B Inelastic Region E F
  • 11. Price Elastic An increase in price ... reduces total revenue. A reduction in price... Increases total revenue. Total revenue moves in the direction of the quantity change. Price Inelastic An increase in price… Increases total revenue. A reduction in price… Reduces total revenue. Total revenue moves in the direction of the price change. Unit price Elastic An increase in price… No change in total revenue. A reduction in price… No change in total revenue. Total revenue does not change as price changes.
  • 12. 1.4 Constant Price Elasticity of Demand Curves • Perfectly inelastic (insensitive to price changes) refers to a situation in which the price elasticity of demand is zero. • Perfectly elastic (sensitive to price changes) refers to a situation in which the price elasticity of demand is infinite.
  • 14. 1.5 Determinants of the Price Elasticity of Demand • Availability of substitutes – If there are lots of close substitute goods to choose from consumers can switch easily • Importance in household budgets – Price of good relative to income • Time – In the short run it is often difficult to find substitutes.
  • 15. 2. RESPONSIVENESS OF DEMAND TO OTHER FACTORS Learning Objectives 2. Explain the concept of income elasticity of demand and its calculation. 3. Classify goods as normal or inferior depending on their income elasticity of demand. 4. Explain the concept of cross price elasticity of demand and its calculation. 5. Classify goods as substitutes or complements depending on their cross price elasticity of demand.
  • 16. 2.1 Income Elasticity of Demand • Income elasticity of demand is the percentage change in quantity demanded at a specific price divided by the percentage change in income that produced the demand change, all other things unchanged. EQUATION 2.1 % change in quantity demanded eY = % change in income
  • 17. 2.1 Income Elasticity of Demand Normal Good (e.g. DVD’s) An increase in income… Increases demand. A decrease in income… Decreases demand. Inferior Good (e.g. used clothing) An increase in income… Decreases demand. A decrease in income… Increases demand.
  • 18. 2.2 Cross Price Elasticity of Demand • Cross price elasticity of demand is the percentage change in the quantity demanded of one good or service at a specific price divided by the percentage change in the price of a related good or service. EQUATION 2.2 % change in quantity demanded of good A e A, B = % change in price of good B
  • 19. 2.2 Cross Price Elasticity of Demand Normal Good (e.g. DVD’s) An increase in PB… Increases demand for good A. A decrease in PB… Decreases demand for good A. Inferior Good (e.g. used clothing) An increase in PB… Decreases demand for good A. A decrease in PB… Increases demand for good A.
  • 20. 3. PRICE ELASTICITY OF SUPPLY Learning Objectives 2. Explain the concept of elasticity of supply and its calculation. 3. Explain what it means for supply to be price inelastic, unit price elastic, price elastic, perfectly price inelastic, and perfectly price elastic. 4. Explain why time is an important determinant of price elasticity of supply. 5. Apply the concept of price elasticity of supply to the labor supply curve.
  • 21. 3. PRICE ELASTICITY OF SUPPLY • Price elasticity of supply is the ratio of the percentage change in quantity supplied of a good or service to the percentage change in its price, all other things unchanged. EQUATION 3.1 % change in quantity supplied es = % change in price
  • 22. Increase in Apartment Rents Depends on How Responsive Supply Is S1 R1 S2 R2 R0 D1 D2 Q0 Q1 Q2
  • 23. Increase in Apartment Rents Depends on How Responsive Supply Is S eS = ∞ S eS = 0
  • 24. 3.1 Time: An Important Determinant of the Elasticity of Supply • In the short run supply is likely to be inelastic. • In the long run supply is likely to be more elastic.
  • 25. Selected Elasticity Estimates Product Price Income Product Cross price elasticity elasticity elasticity Food -2.58 0.20 Alcohol with respect to -0.05 (long-run) the price of heroin Beer -0.90 to -1.50 0.40 Fuel with respect to the -0.48 price of transport Heroin -1.00 0.00 Beer with respect to the 0.00 price of wine Coke -1.90 0.60 Poultry with respect to 0.23 the price of ground beef Pepsi -2.22 1.72 Coke with respect to 0.61 the price of Pepsi Gasoline -0.10 ----- Pepsi with respect to 0.80 (short-run) the price of Coke Transportation -2.08 ----- (long-run)
  • 26. Selected Elasticity Estimates Product Price elasticity of supply Physicians (specialist) -0.30 Physicians (primary 0.00 care) Physician (young 0.20 male) Physicians (young 0.50 female) Milk (short run) 0.36 Milk (long run) 0.50 Child care labor 2.00
  • 27. Elasticity of supply • The percentage increase in quantity supplied resulting from a small percentage increase in price. • Analogous to the elasticity of demand – A unit-free measure of the responsiveness of supply to a price change – Defined as the percentage increase in quantity supplied resulting from a small percentage increase in price.
  • 28. Supply and Demand Changes Learning Objectives • What are the effects of changes in supply and demand on price and quantity? • What is a useful approximation of these changes?
  • 29. When the price of a complement changes… • What happens to the equilibrium price and quantity of the good? • How much do the price and quantity traded change in response to a change in demand? • The equilibrium price p* is given determined at the point where the quantity supplied equals to the quantity demanded, or by the solution to the equation: qd(p*)=qs(p*)