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Policy Implications
OIL AND PRICE CONTROL
• Estimated subsidy on LPG, 2011-12 : Rs 25,000
  crores

•   Government provides subsidy to
-   Kerosene: Rs 31/ltr
-   Diesel : Rs 13.64/ltr
-   One LPG cylinder (14.6kg): Rs 479

• Reduction in subsidy : average Rs 7.5/ltr
OIL AND PRICE CONTROL
• How does price control effect the society?

• Who benefits from this?

• Who looses?

• When is price control effective?
Price Controls and
           Natural Gas Shortages

• QS = 14 + 2PG + 0.25PO
  – Quantity supplied in trillion cubic feet (Tcf)
• QD = -5PG + 3.75PO
  – Quantity demanded (Tcf)


• PG = price of natural gas in $/mcf
• PO = price of oil in $/b
                            4
Price Controls and
          Natural Gas Shortages
• Using PO = $8/b and Q DG    G
                             QS   gives equilibrium
  values for natural gas

  – PG = $2/mcf and QG = 20 Tcf



• Price ceiling was set at $1/mcf


                         5
Price Controls and
                          Natural Gas Shortages
             Price
            ($/mcf)                   D        S

               2.40

                                          B
               2.00
                                          C
                               A


    (Pmax)1.00




                      0    5   10   15 18 20       25   30 Quantity (Tcf)
Chapter 9                                 6
No Regulation
• What is the consumer surplus?

• What is the producer surplus?

• What is the total surplus in the economy?
Price Control
• Price control will be effective only if the price
  is no higher than the equilibrium price
Price Controls and
                  Natural Gas Shortages
     Price
    ($/mcf)                   D        S
                                                  The gain to consumers is
       2.40                                     rectangle A minus triangle B,
                                                and the loss to producers is
                                                 rectangle A plus triangle C.
                                  B
       2.00
                                  C
                       A


(Pmax)1.00




              0    5   10   15 18 20       25   30 Quantity (Tcf)
                                  9
Price Controls and
          Natural Gas Shortages
• What will be effect of price control of $1 on
  the amount traded?

• Will there be shortage or surplus?

• How will the producers get effected?
Price Controls
Effect on Producer Surplus

-   Decrease in Producer Surplus
-   Value: A+C = (-)$18+1 billion
-   Loss due to lower per unit price :- Area A
-   Loss due to seller selling fewer units- Area C
Price Controls
Effect on Consumer Surplus

- Gain due to lower per unit price :- Area A
- Loss due to seller selling fewer units- Area B
- Net Change in consumer surplus:- A-B= $18-
  0.4 = $17.6 bn
Price Control
• Net Effect = Change in Producer Surplus +
  Change in Consumer Surplus

• = (-) [Area A+ B] + Area A – Area C
• Net Loss of Area B + C = $0.4+1 mn

• DEADWEIGHT LOSS
Price Control
• Can society ever benefit with a price control?

• When will the deadweight loss decrease?

• Lower subsidy
• Lower demand and supply elasticity
Price Control
• Measuring effects of government price
  controls on the economy can be estimated by
  measuring these two triangles

• To measure the effect of government price
  control one needs information on elasticity of
  demand and supply


                        15
MARKET FOR HUMAN KIDNEYS
The Market for Human Kidneys
• The 1984 National Organ Transplantation Act
  prohibits the sale of organs for transplantation




• What has been the impact of the Act?



                        17
The Market for Human Kidneys
• We can measure this using the supply and
  demand for kidneys from estimated data
  – Supply: QS = 8,000 + 0.2P
  – Demand: QD = 16,000 - 0.2P

• Since the sale of organs is not allowed, the
  amount available depends on the amount
  donated
  – Supply of donated kidneys is limited to 8,000
                          18
The Market for Kidneys
 Price                        S’
                                        The loss to suppliers
                                       is seen in areas A & C.         S
$40,000



$30,000           D                                              If kidneys are zero cost,
                                                                   consumer gain would
                                   B                                   be A minus B.

$20,000                                                              A and D measure the
                                                                     total value of kidneys
                                   C                                    when supply is
                                                                          constrained.
$10,000           A
                                                                 D


          0   4,000   8,000              12,000                          Quantity

                              19
The Market for Human Kidneys
• Recipients:
  – Since they do not have to pay for the kidney, they
    gain rectangle A ($140 million) since price is $0
  – Those who cannot obtain a kidney lose surplus
    equal to triangle B ($40 million)
  – Net increase in surplus of recipients of $160 - $40
    = $120 million



                          20
The Market for Human Kidneys
• Suppliers:
  – Those who supply them are not paid the market
    price, estimated at $20,000
     • Loss of surplus equal to area A = $160 million
  – Some who would donate for the equilibrium price
    do not donate in the current market
     • Loss of surplus equal to area C = $40 million
  – Total SUPPLIER loss of A + C = $200 million


                              21
The Market for Human Kidneys
• Net Effect = Change in Producer Surplus +
  Change in Consumer Surplus

• = (-) [Area A+ C] + Area A – Area B
• Net Loss of Area B + C = $80 mn

• DEADWEIGHT LOSS
The Market for Human Kidneys
•   Arguments in favor of prohibiting the sale of
    organs:
    1. Imperfect information about donor’s health and
       screening



    2. Unfair to allocate according to the ability to pay



                             23
MINIMUM PRICES
Support Price for Rice farmers
• Support price for common rice, 2012: Rs
  1,250/kg



• Increase from 2011 : Rs 1,080/kg
Minimum Support Price
Minimum Support Price
• What is the effect of Minimum Support Price
  on the economy?

• Who benefits from it and who looses?

• When is Minimum Support Price effective?
Minimum Prices
• When price is set above the market clearing
  price.



• Effective minimum price only operates when
  minimum price support is above the
  equilibrium price.


                       28
Minimum Prices
Price


                                     S    If producers produce
                                          Q2, the amount Q2 - Q3
                                               will go unsold.
  Pmin
          A                              D measures total cost of
                   B                      increased production
    P0             C                            not sold.

                                         The change in producer
                            D                 surplus will be
                                          A - C - D. Producers
                                            may be worse off.

                                           D
              Q3       Q0       Q2                Quantity

                       29
Minimum Prices
• Losses in consumer surplus are
  – Increased price leading to decreased quantity
    equals area A
  – Those priced out of the market lose area B
• Producer surplus
  – Increases from increased price for units sold equal
    to A
  – Losses from drop in sales equal to C

                          30
Minimum Prices
• Net Effect of the price control on the society

• DEADWEIGHT LOSS OF B+C

• Deadweight loss decreases as
- Subsidy is smaller
- Elasticity of demand and supply is lower
Minimum Prices
• What if producers expand production to Q2
  from the increased price?




                      32
Minimum Prices
Price


                                     S    If producers produce
                                          Q2, the amount Q2 - Q3
                                               will go unsold.
  Pmin
          A                              D measures total cost of
                   B                      increased production
    P0             C                            not sold.

                                         The change in producer
                            D                 surplus will be
                                          A - C - D. Producers
                                            may be worse off.

                                           D
              Q3       Q0       Q2                Quantity

                       33
Minimum Prices
• What if producers expand production to Q2
  from the increased price?
  – Since they only sell Q3, there is no revenue to
    cover the additional production (Q2-Q3)
  – Supply curve measures MC of production so total
    cost of additional production is area under the
    supply curve for the increased production (Q2-Q3)
    = area D
  – Total change in producer surplus = A – C – D

                         34
Supporting the Price of Wheat
• The supply and demand for wheat in 1981 was
  – Supply: QS = 1,800 + 240P
  – Demand: QD = 3,550 - 266P
  – Equilibrium price and quantity was $3.46 and
    2,630 million bushels


• Government raised the price to $3.70 through
  government purchases

                         35
The Wheat Market in 1981
  Price               •AB consumer loss
                      •ABC producer gain   S


                        Qg                          By buying 122
                                                   million bushels,
PS = $3.70                                         the government
               A             C                      increased the
                         B
P0 = $3.46                                         market-clearing
                                                         price.




                                               D   D + Qg

             1,800   2,566 2,630 2,688         Quantity
                        36
Supporting the Price of Wheat

• How much would the government have had
  to buy to keep price at $3.70?
  – QDTotal = QD + Q g = 3,550 - 266P + Q g
  – QS = QDT
     •   1,800 + 240P = 3,550 - 266P + Qg
     •   Qg = 506P - 1,750
     •   At a price of $3.70, government would buy
     •   Qg = (506)(3.70) - 175 = 122 million bushels


                              37
Supporting the Price of Wheat
• We can quantify the effects on CS
  – The change in consumer surplus = (-A -B)
     • A = (3.70 - 3.46)(2,566) = $616 million
     • B = (1/2)(3.70 - 3.46)(2,630 - 2,566) = $8 million
  – CS = -$624 million




                              38
Supporting the Price of Wheat
• Cost to the government:
  – $3.70 x 122 million bushels = $451.4 million
  – Total cost of program = $624 + 451 = $1,075
    million
• Gain to producers
  – A + B + C = $638 million
  – Government also paid 30 cents/bushel = $806
    million

                          39
Supporting the Price of Wheat
• In 1996, Congress passed the Freedom to
  Farm law
  – Goal was to reduce the role of government and
    make agriculture more market-oriented
  – Eliminated production quotas, gradually reduced
    government purchases and subsidies through
    2003



                         44
Supporting the Price of Wheat
• In 2002, Congress and President Bush
  reversed the effects of the 1996 bill by
  reinstating subsidies for most crops
  – Calls for “fixed direct payments”
  – New bill would cost taxpayers almost $1.1 billion
    in annual payments to wheat producers alone
  – 2002 farm bill expected to cost taxpayers $190
    billion over 10 years
     • Estimated $83 billion over existing programs


                             45
MINIMUM WAGES
Minimum Wages
• Wage is set higher than market clearing wage

• Decreased quantity of workers demanded

• Those workers hired receive higher wages

• Unemployment results, since not everyone
  who wants to work at the new wage can

                       47
The Minimum Wage
  w           Firms are not allowed to
              pay less than wmin. This
             results in unemployment.
                                         S

wmin                                         A is gain to workers
         A                                     who find jobs at
                   B                             higher wage.
  w0
                   C

                                              The deadweight loss
                                                   is given by
                                               triangles B and C.

                   Unemployment
                                               D
              L1       L0         L2                 L

                        48
EFFECT OF TAX AND SUBSIDY
The Impact of a Tax or Subsidy
• The government wants to impose a $1.00 tax
  on movies. It can do it two ways:
  – Make the producers pay $1.00 for each movie
    ticket they sell
  – Make consumers pay $1.00 when they buy each
    movie


• In which option are consumers paying more?

                       50
The Impact of a Tax or Subsidy
• The burden of a tax (or the benefit of a
  subsidy) falls partly on the consumer and
  partly on the producer

• How the burden is split between the parties
  depends on the relative elasticities of demand
  and supply


                       51
The Effects of a Specific Tax
• For simplicity we will consider a specific tax
  on a good
  – Tax of a particular amount per unit sold



• For our example, consider a specific tax of $t
  per cigarette sold


                          52
Incidence of a Specific Tax
•   Four conditions that must be satisfied after
    the tax is in place:
    1. Quantity sold and buyer’s price, Pb, must be on
       the demand curve
       •    Buyers only concerned with what they must pay
    2. Quantity sold and seller’s price, PS, must be on
       the supply curve
       •    Sellers only concerned with what they receive



                                53
Incidence of a Specific Tax
3. QD = QS




4. Difference between what consumers pay and
    what buyers receive is the tax




                      54
Incidence of a Specific Tax
          Price


                                          S
        Pb price                           •Buyers lose A + B
        buyers pay
                     A                     •Sellers lose D + C
Tax =                         B
$1.00          P0                         •Government gains A +
                              C
                     D                    D in tax revenue.
        PS price
        producers                             •The deadweight
        get                                   loss is B + C.


                                            D

                         Q1       Q0   Quantity
                          55
Incidence of a Specific Tax
• In the previous example, the tax was shared
  almost equally by consumers and producers
• If demand is relatively inelastic, however,
  burden of tax will fall mostly on buyers
   – Cigarettes
• If supply is relatively inelastic, the burden of
  tax will fall mostly on sellers


                         56
Impact of Elasticities on Tax Burdens
         Burden on Buyer                 Burden on Seller
Price         D                  Price                   S

    Pb

                           S
          t                        Pb
    P0                             P0
    PS
                                             t
                                                                        D
                                   PS




              Q1 Q0   Quantity                   Q1 Q0       Quantity
The Impact of a Tax or Subsidy
• We can calculate the percentage of a tax
  borne by consumers using pass-through
  fraction
  – ES/(ES - Ed)
  – Tells fraction of tax “passed through” to
    consumers through higher prices
  – For example, when demand is perfectly inelastic
    (Ed = 0), the pass-through fraction is 1 –
    consumers bear 100% of tax

                         58
A Tax on Gasoline

• The goal of a large gasoline tax is to:
  – Raise government revenue
  – Reduce oil consumption and reduce US
    dependence on oil imports


• We will consider a gas tax in the market during
  mid-1990’s

                         59
A Tax on Gasoline
• Measuring the Impact of a 50 Cent Gasoline
  Tax

     • QD = 150 - 50P
     • QS = 60 + 40P


  – QS = QD at $1 and 100 billion gallons per   year
    (bg/yr)


                          60
A Tax on Gasoline
• With a 50 cent tax:
                     QD = QS
             150 - 50Pb = 60 + 40PS
         150 - 50(PS+ 0.50) = 60 + 40PS
                     PS = .72
             Pb = PS + 0.50 = $1.22
               QD = QS = 89 bg/yr

Chapter 9              61
A Tax on Gasoline
• With a 50 cent tax:
  –   Q falls by 11%
  –   Price to consumers increases by 22 cents per
      gallon
  –   Producers receive about 28 cents per gallon less

  –   Government revenue would be significant at $44.5
      billion per year



                            62
The Impact of a 50 Cent Gasoline Tax
                            D                     S
            Price
            ($ per
            gallon)
                                                         Consumer Loss = A + B
                                          B
                                                         Producer Loss = C + D
            Pb = 1.22
                        A                             The buyer pays 22 cents of the
$0.50       P0 = 1.00                                            tax, and
Tax                                           C        the producer pays 28 cents.
                        D
             PS = .72                                 Government revenue = A + D =
                                                         0.50(89) = $44.5 billion.


                                     11


                                                                Quantity (billion
                        50 60    89 100               150       gallons per year)
Chapter 9                       63
The Effects of Subsidy
• A subsidy can be analyzed in much the same
  way as a tax
  – Payment reducing the buyer’s price below the
    seller’s price
• It can be treated as a negative tax
• The seller’s price exceeds the buyer’s price
• Quantity increases


                         64
Effects of a Subsidy
            Price


                                             S

                                                 Like a tax, the benefit
                PS                                 of a subsidy is split
                                                  between buyers and
Subsidy         P0                                 sellers, depending
                                                 upon the elasticities of
                Pb                                supply and demand.



                                                 D


                                   Q0   Q1   Quantity
Chapter 9                     65
Effects of a Subsidy
• The benefit of the subsidy accrues mostly to
  buyers if ED /ES is small



• The benefit of the subsidy accrues mostly to
  sellers if ED /ES is large



                       66

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Policy implications

  • 2. OIL AND PRICE CONTROL • Estimated subsidy on LPG, 2011-12 : Rs 25,000 crores • Government provides subsidy to - Kerosene: Rs 31/ltr - Diesel : Rs 13.64/ltr - One LPG cylinder (14.6kg): Rs 479 • Reduction in subsidy : average Rs 7.5/ltr
  • 3. OIL AND PRICE CONTROL • How does price control effect the society? • Who benefits from this? • Who looses? • When is price control effective?
  • 4. Price Controls and Natural Gas Shortages • QS = 14 + 2PG + 0.25PO – Quantity supplied in trillion cubic feet (Tcf) • QD = -5PG + 3.75PO – Quantity demanded (Tcf) • PG = price of natural gas in $/mcf • PO = price of oil in $/b 4
  • 5. Price Controls and Natural Gas Shortages • Using PO = $8/b and Q DG G QS gives equilibrium values for natural gas – PG = $2/mcf and QG = 20 Tcf • Price ceiling was set at $1/mcf 5
  • 6. Price Controls and Natural Gas Shortages Price ($/mcf) D S 2.40 B 2.00 C A (Pmax)1.00 0 5 10 15 18 20 25 30 Quantity (Tcf) Chapter 9 6
  • 7. No Regulation • What is the consumer surplus? • What is the producer surplus? • What is the total surplus in the economy?
  • 8. Price Control • Price control will be effective only if the price is no higher than the equilibrium price
  • 9. Price Controls and Natural Gas Shortages Price ($/mcf) D S The gain to consumers is 2.40 rectangle A minus triangle B, and the loss to producers is rectangle A plus triangle C. B 2.00 C A (Pmax)1.00 0 5 10 15 18 20 25 30 Quantity (Tcf) 9
  • 10. Price Controls and Natural Gas Shortages • What will be effect of price control of $1 on the amount traded? • Will there be shortage or surplus? • How will the producers get effected?
  • 11. Price Controls Effect on Producer Surplus - Decrease in Producer Surplus - Value: A+C = (-)$18+1 billion - Loss due to lower per unit price :- Area A - Loss due to seller selling fewer units- Area C
  • 12. Price Controls Effect on Consumer Surplus - Gain due to lower per unit price :- Area A - Loss due to seller selling fewer units- Area B - Net Change in consumer surplus:- A-B= $18- 0.4 = $17.6 bn
  • 13. Price Control • Net Effect = Change in Producer Surplus + Change in Consumer Surplus • = (-) [Area A+ B] + Area A – Area C • Net Loss of Area B + C = $0.4+1 mn • DEADWEIGHT LOSS
  • 14. Price Control • Can society ever benefit with a price control? • When will the deadweight loss decrease? • Lower subsidy • Lower demand and supply elasticity
  • 15. Price Control • Measuring effects of government price controls on the economy can be estimated by measuring these two triangles • To measure the effect of government price control one needs information on elasticity of demand and supply 15
  • 16. MARKET FOR HUMAN KIDNEYS
  • 17. The Market for Human Kidneys • The 1984 National Organ Transplantation Act prohibits the sale of organs for transplantation • What has been the impact of the Act? 17
  • 18. The Market for Human Kidneys • We can measure this using the supply and demand for kidneys from estimated data – Supply: QS = 8,000 + 0.2P – Demand: QD = 16,000 - 0.2P • Since the sale of organs is not allowed, the amount available depends on the amount donated – Supply of donated kidneys is limited to 8,000 18
  • 19. The Market for Kidneys Price S’ The loss to suppliers is seen in areas A & C. S $40,000 $30,000 D If kidneys are zero cost, consumer gain would B be A minus B. $20,000 A and D measure the total value of kidneys C when supply is constrained. $10,000 A D 0 4,000 8,000 12,000 Quantity 19
  • 20. The Market for Human Kidneys • Recipients: – Since they do not have to pay for the kidney, they gain rectangle A ($140 million) since price is $0 – Those who cannot obtain a kidney lose surplus equal to triangle B ($40 million) – Net increase in surplus of recipients of $160 - $40 = $120 million 20
  • 21. The Market for Human Kidneys • Suppliers: – Those who supply them are not paid the market price, estimated at $20,000 • Loss of surplus equal to area A = $160 million – Some who would donate for the equilibrium price do not donate in the current market • Loss of surplus equal to area C = $40 million – Total SUPPLIER loss of A + C = $200 million 21
  • 22. The Market for Human Kidneys • Net Effect = Change in Producer Surplus + Change in Consumer Surplus • = (-) [Area A+ C] + Area A – Area B • Net Loss of Area B + C = $80 mn • DEADWEIGHT LOSS
  • 23. The Market for Human Kidneys • Arguments in favor of prohibiting the sale of organs: 1. Imperfect information about donor’s health and screening 2. Unfair to allocate according to the ability to pay 23
  • 25. Support Price for Rice farmers • Support price for common rice, 2012: Rs 1,250/kg • Increase from 2011 : Rs 1,080/kg
  • 27. Minimum Support Price • What is the effect of Minimum Support Price on the economy? • Who benefits from it and who looses? • When is Minimum Support Price effective?
  • 28. Minimum Prices • When price is set above the market clearing price. • Effective minimum price only operates when minimum price support is above the equilibrium price. 28
  • 29. Minimum Prices Price S If producers produce Q2, the amount Q2 - Q3 will go unsold. Pmin A D measures total cost of B increased production P0 C not sold. The change in producer D surplus will be A - C - D. Producers may be worse off. D Q3 Q0 Q2 Quantity 29
  • 30. Minimum Prices • Losses in consumer surplus are – Increased price leading to decreased quantity equals area A – Those priced out of the market lose area B • Producer surplus – Increases from increased price for units sold equal to A – Losses from drop in sales equal to C 30
  • 31. Minimum Prices • Net Effect of the price control on the society • DEADWEIGHT LOSS OF B+C • Deadweight loss decreases as - Subsidy is smaller - Elasticity of demand and supply is lower
  • 32. Minimum Prices • What if producers expand production to Q2 from the increased price? 32
  • 33. Minimum Prices Price S If producers produce Q2, the amount Q2 - Q3 will go unsold. Pmin A D measures total cost of B increased production P0 C not sold. The change in producer D surplus will be A - C - D. Producers may be worse off. D Q3 Q0 Q2 Quantity 33
  • 34. Minimum Prices • What if producers expand production to Q2 from the increased price? – Since they only sell Q3, there is no revenue to cover the additional production (Q2-Q3) – Supply curve measures MC of production so total cost of additional production is area under the supply curve for the increased production (Q2-Q3) = area D – Total change in producer surplus = A – C – D 34
  • 35. Supporting the Price of Wheat • The supply and demand for wheat in 1981 was – Supply: QS = 1,800 + 240P – Demand: QD = 3,550 - 266P – Equilibrium price and quantity was $3.46 and 2,630 million bushels • Government raised the price to $3.70 through government purchases 35
  • 36. The Wheat Market in 1981 Price •AB consumer loss •ABC producer gain S Qg By buying 122 million bushels, PS = $3.70 the government A C increased the B P0 = $3.46 market-clearing price. D D + Qg 1,800 2,566 2,630 2,688 Quantity 36
  • 37. Supporting the Price of Wheat • How much would the government have had to buy to keep price at $3.70? – QDTotal = QD + Q g = 3,550 - 266P + Q g – QS = QDT • 1,800 + 240P = 3,550 - 266P + Qg • Qg = 506P - 1,750 • At a price of $3.70, government would buy • Qg = (506)(3.70) - 175 = 122 million bushels 37
  • 38. Supporting the Price of Wheat • We can quantify the effects on CS – The change in consumer surplus = (-A -B) • A = (3.70 - 3.46)(2,566) = $616 million • B = (1/2)(3.70 - 3.46)(2,630 - 2,566) = $8 million – CS = -$624 million 38
  • 39. Supporting the Price of Wheat • Cost to the government: – $3.70 x 122 million bushels = $451.4 million – Total cost of program = $624 + 451 = $1,075 million • Gain to producers – A + B + C = $638 million – Government also paid 30 cents/bushel = $806 million 39
  • 40. Supporting the Price of Wheat • In 1996, Congress passed the Freedom to Farm law – Goal was to reduce the role of government and make agriculture more market-oriented – Eliminated production quotas, gradually reduced government purchases and subsidies through 2003 44
  • 41. Supporting the Price of Wheat • In 2002, Congress and President Bush reversed the effects of the 1996 bill by reinstating subsidies for most crops – Calls for “fixed direct payments” – New bill would cost taxpayers almost $1.1 billion in annual payments to wheat producers alone – 2002 farm bill expected to cost taxpayers $190 billion over 10 years • Estimated $83 billion over existing programs 45
  • 43. Minimum Wages • Wage is set higher than market clearing wage • Decreased quantity of workers demanded • Those workers hired receive higher wages • Unemployment results, since not everyone who wants to work at the new wage can 47
  • 44. The Minimum Wage w Firms are not allowed to pay less than wmin. This results in unemployment. S wmin A is gain to workers A who find jobs at B higher wage. w0 C The deadweight loss is given by triangles B and C. Unemployment D L1 L0 L2 L 48
  • 45. EFFECT OF TAX AND SUBSIDY
  • 46. The Impact of a Tax or Subsidy • The government wants to impose a $1.00 tax on movies. It can do it two ways: – Make the producers pay $1.00 for each movie ticket they sell – Make consumers pay $1.00 when they buy each movie • In which option are consumers paying more? 50
  • 47. The Impact of a Tax or Subsidy • The burden of a tax (or the benefit of a subsidy) falls partly on the consumer and partly on the producer • How the burden is split between the parties depends on the relative elasticities of demand and supply 51
  • 48. The Effects of a Specific Tax • For simplicity we will consider a specific tax on a good – Tax of a particular amount per unit sold • For our example, consider a specific tax of $t per cigarette sold 52
  • 49. Incidence of a Specific Tax • Four conditions that must be satisfied after the tax is in place: 1. Quantity sold and buyer’s price, Pb, must be on the demand curve • Buyers only concerned with what they must pay 2. Quantity sold and seller’s price, PS, must be on the supply curve • Sellers only concerned with what they receive 53
  • 50. Incidence of a Specific Tax 3. QD = QS 4. Difference between what consumers pay and what buyers receive is the tax 54
  • 51. Incidence of a Specific Tax Price S Pb price •Buyers lose A + B buyers pay A •Sellers lose D + C Tax = B $1.00 P0 •Government gains A + C D D in tax revenue. PS price producers •The deadweight get loss is B + C. D Q1 Q0 Quantity 55
  • 52. Incidence of a Specific Tax • In the previous example, the tax was shared almost equally by consumers and producers • If demand is relatively inelastic, however, burden of tax will fall mostly on buyers – Cigarettes • If supply is relatively inelastic, the burden of tax will fall mostly on sellers 56
  • 53. Impact of Elasticities on Tax Burdens Burden on Buyer Burden on Seller Price D Price S Pb S t Pb P0 P0 PS t D PS Q1 Q0 Quantity Q1 Q0 Quantity
  • 54. The Impact of a Tax or Subsidy • We can calculate the percentage of a tax borne by consumers using pass-through fraction – ES/(ES - Ed) – Tells fraction of tax “passed through” to consumers through higher prices – For example, when demand is perfectly inelastic (Ed = 0), the pass-through fraction is 1 – consumers bear 100% of tax 58
  • 55. A Tax on Gasoline • The goal of a large gasoline tax is to: – Raise government revenue – Reduce oil consumption and reduce US dependence on oil imports • We will consider a gas tax in the market during mid-1990’s 59
  • 56. A Tax on Gasoline • Measuring the Impact of a 50 Cent Gasoline Tax • QD = 150 - 50P • QS = 60 + 40P – QS = QD at $1 and 100 billion gallons per year (bg/yr) 60
  • 57. A Tax on Gasoline • With a 50 cent tax: QD = QS 150 - 50Pb = 60 + 40PS 150 - 50(PS+ 0.50) = 60 + 40PS PS = .72 Pb = PS + 0.50 = $1.22 QD = QS = 89 bg/yr Chapter 9 61
  • 58. A Tax on Gasoline • With a 50 cent tax: – Q falls by 11% – Price to consumers increases by 22 cents per gallon – Producers receive about 28 cents per gallon less – Government revenue would be significant at $44.5 billion per year 62
  • 59. The Impact of a 50 Cent Gasoline Tax D S Price ($ per gallon) Consumer Loss = A + B B Producer Loss = C + D Pb = 1.22 A The buyer pays 22 cents of the $0.50 P0 = 1.00 tax, and Tax C the producer pays 28 cents. D PS = .72 Government revenue = A + D = 0.50(89) = $44.5 billion. 11 Quantity (billion 50 60 89 100 150 gallons per year) Chapter 9 63
  • 60. The Effects of Subsidy • A subsidy can be analyzed in much the same way as a tax – Payment reducing the buyer’s price below the seller’s price • It can be treated as a negative tax • The seller’s price exceeds the buyer’s price • Quantity increases 64
  • 61. Effects of a Subsidy Price S Like a tax, the benefit PS of a subsidy is split between buyers and Subsidy P0 sellers, depending upon the elasticities of Pb supply and demand. D Q0 Q1 Quantity Chapter 9 65
  • 62. Effects of a Subsidy • The benefit of the subsidy accrues mostly to buyers if ED /ES is small • The benefit of the subsidy accrues mostly to sellers if ED /ES is large 66