8 Application: The Costs of Taxation
Application: The Costs of Taxation Welfare economics  is the study of how the allocation of   resources affects economic well-being. Buyers and sellers receive benefits from taking part in the market.  The equilibrium in a market maximizes the total welfare of buyers and sellers.
THE DEADWEIGHT LOSS OF TAXATION How do taxes affect the economic well-being of market participants?
THE DEADWEIGHT LOSS OF TAXATION It does not matter whether a tax on a good is levied on buyers or sellers  of the good . . . the price  paid by buyers rises, and  the price received by  sellers falls.
Figure 1 The Effects of a Tax Copyright © 2004  South-Western Quantity 0 Price Size of tax Price buyers pay Price sellers receive Demand Supply Price without tax Quantity without tax Quantity with tax
How a Tax Affects Market Participants A tax places a  wedge  between the price buyers pay and the price sellers receive.  Because of this tax wedge, the quantity sold falls below the level that would be sold without a tax. The size of the market for that good shrinks.
How a Tax Affects Market Participants  Tax Revenue T  = the size of the tax Q  = the quantity of the good sold T      Q  = the government’s tax revenue
Figure 2 Tax Revenue Copyright © 2004  South-Western Quantity 0 Price Tax revenue ( T  × Q) Size of tax ( T ) Quantity sold ( Q ) Demand Supply Quantity without tax Quantity with tax Price buyers pay Price sellers receive
Figure 3 How a Tax Effects Welfare Copyright © 2004  South-Western Quantity 0 Price A F B D C E Demand Supply = P B Q 2 = P S Price buyers pay Price sellers receive = P 1 Q 1 Price without tax
How a Tax Affects Market Participants Changes in Welfare A  deadweight loss  is the fall in total surplus that results from a market distortion, such as a tax.
How a Tax Affects Welfare
How a Tax Affects Market Participants The change in total welfare includes: The change in consumer surplus, The change in producer surplus, and The change in tax revenue. The losses to buyers and sellers exceed the revenue raised by the government. This fall in total surplus is called the  deadweight loss.
Deadweight Losses and the Gains from Trade Taxes cause deadweight losses because they prevent buyers and sellers from realizing some of the gains from trade.
Figure 4 The Deadweight Loss Copyright © 2004  South-Western Quantity 0 Price Cost to sellers Value to buyers Size of tax Demand Supply Lost gains from trade Reduction in quantity due to the tax Price without tax Q 1 P B Q 2 P S
DETERMINANTS OF THE DEADWEIGHT LOSS What determines whether the deadweight loss from a tax is large or small? The magnitude of the deadweight loss depends on how much the quantity supplied and quantity demanded respond to changes in the price.  That, in turn, depends on the  price elasticities  of supply and demand.
Figure 5 Tax Distortions and Elasticities Copyright © 2004  South-Western (a) Inelastic Supply Price 0 Quantity Demand Supply Size of tax When supply is relatively inelastic, the deadweight loss of a tax is small.
Figure 5 Tax Distortions and Elasticities Copyright © 2004  South-Western (b) Elastic Supply Price 0 Quantity Demand Supply Size of tax When supply is relatively elastic, the deadweight loss of a tax is large.
Figure 5 Tax Distortions and Elasticities Copyright © 2004  South-Western (c) Inelastic Demand Price 0 Quantity Demand Supply Size of tax When demand is relatively inelastic, the deadweight loss of a tax is small.
Figure 5 Tax Distortions and Elasticities Copyright © 2004  South-Western (d) Elastic Demand Price 0 Quantity Size of tax Demand Supply When demand is relatively elastic, the deadweight loss of a tax is large.
DETERMINANTS OF THE DEADWEIGHT LOSS The greater the elasticities of demand and supply: the larger will be the decline in equilibrium quantity and, the greater the deadweight loss of a tax.
DEADWEIGHT LOSS AND TAX REVENUE AS TAXES VARY The Deadweight Loss Debate Some economists argue that labor taxes are highly distorting and believe that labor supply is more elastic. Some examples of workers who may respond more to incentives: Workers who can adjust the number of hours they work Families with second earners Elderly who can choose when to retire Workers in the underground economy (i.e., those engaging in illegal activity)
DEADWEIGHT LOSS AND TAX REVENUE AS TAXES VARY With each increase in the tax rate, the deadweight loss of the tax rises even more rapidly than the size of the tax.
Figure 6 Deadweight Loss and Tax Revenue from Three Taxes of Different Sizes Copyright © 2004  South-Western Quantity 0 Price (a) Small Tax Tax revenue Demand Supply Q 1 Deadweight loss P B Q 2 P S
Figure 6 Deadweight Loss and Tax Revenue from Three Taxes of Different Sizes Copyright © 2004  South-Western Quantity 0 Price (b) Medium Tax Tax revenue P B Q 2 P S Supply Demand Q 1 Deadweight loss
Figure 6 Deadweight Loss and Tax Revenue from Three Taxes of Different Sizes Copyright © 2004  South-Western Quantity 0 Price (c) Large Tax Tax revenue Demand Supply Q 1 P B Q 2 P S Deadweight loss
DEADWEIGHT LOSS AND TAX REVENUE AS TAXES VARY For the small tax, tax revenue is small. As the size of the tax rises, tax revenue grows. But as the size of the tax continues to rise, tax revenue falls because the higher tax reduces the size of the market.
Figure 7 How Deadweight Loss and Tax Revenue Vary with the Size of a Tax Copyright © 2004  South-Western (a) Deadweight Loss Deadweight Loss 0 Tax Size
Figure 7 How Deadweight Loss and Tax Revenue Vary with the Size of a Tax Copyright © 2004  South-Western (b) Revenue (the Laffer curve) Tax Revenue 0 Tax Size
DEADWEIGHT LOSS AND TAX REVENUE AS TAXES VARY As the size of a tax increases, its deadweight loss quickly gets larger. By contrast, tax revenue first rises with the size of a tax, but then, as the tax gets larger, the market shrinks so much that tax revenue starts to fall.
CASE STUDY:  The Laffer Curve and Supply-side Economics The  Laffer curve  depicts the relationship between tax rates and tax revenue. Supply-side economics  refers to the views of Reagan and Laffer who proposed that a tax cut would induce more people to work and thereby have the potential to increase tax revenues.
Summary A tax on a good reduces the welfare of buyers and sellers of the good, and the reduction in consumer and producer surplus usually exceeds the revenues raised by the government. The fall in total surplus—the sum of consumer surplus, producer surplus, and tax revenue — is called the deadweight loss of the tax.
Summary Taxes have a deadweight loss because they cause buyers to consume less and sellers to produce less. This change in behavior shrinks the size of the market below the level that maximizes total surplus.
Summary As a tax grows larger, it distorts incentives more, and its deadweight loss grows larger. Tax revenue first rises with the size of a tax. Eventually, however, a larger tax reduces tax revenue because it reduces the size of the market.

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8

  • 1. 8 Application: The Costs of Taxation
  • 2. Application: The Costs of Taxation Welfare economics is the study of how the allocation of resources affects economic well-being. Buyers and sellers receive benefits from taking part in the market. The equilibrium in a market maximizes the total welfare of buyers and sellers.
  • 3. THE DEADWEIGHT LOSS OF TAXATION How do taxes affect the economic well-being of market participants?
  • 4. THE DEADWEIGHT LOSS OF TAXATION It does not matter whether a tax on a good is levied on buyers or sellers of the good . . . the price paid by buyers rises, and the price received by sellers falls.
  • 5. Figure 1 The Effects of a Tax Copyright © 2004 South-Western Quantity 0 Price Size of tax Price buyers pay Price sellers receive Demand Supply Price without tax Quantity without tax Quantity with tax
  • 6. How a Tax Affects Market Participants A tax places a wedge between the price buyers pay and the price sellers receive. Because of this tax wedge, the quantity sold falls below the level that would be sold without a tax. The size of the market for that good shrinks.
  • 7. How a Tax Affects Market Participants Tax Revenue T = the size of the tax Q = the quantity of the good sold T  Q = the government’s tax revenue
  • 8. Figure 2 Tax Revenue Copyright © 2004 South-Western Quantity 0 Price Tax revenue ( T × Q) Size of tax ( T ) Quantity sold ( Q ) Demand Supply Quantity without tax Quantity with tax Price buyers pay Price sellers receive
  • 9. Figure 3 How a Tax Effects Welfare Copyright © 2004 South-Western Quantity 0 Price A F B D C E Demand Supply = P B Q 2 = P S Price buyers pay Price sellers receive = P 1 Q 1 Price without tax
  • 10. How a Tax Affects Market Participants Changes in Welfare A deadweight loss is the fall in total surplus that results from a market distortion, such as a tax.
  • 11. How a Tax Affects Welfare
  • 12. How a Tax Affects Market Participants The change in total welfare includes: The change in consumer surplus, The change in producer surplus, and The change in tax revenue. The losses to buyers and sellers exceed the revenue raised by the government. This fall in total surplus is called the deadweight loss.
  • 13. Deadweight Losses and the Gains from Trade Taxes cause deadweight losses because they prevent buyers and sellers from realizing some of the gains from trade.
  • 14. Figure 4 The Deadweight Loss Copyright © 2004 South-Western Quantity 0 Price Cost to sellers Value to buyers Size of tax Demand Supply Lost gains from trade Reduction in quantity due to the tax Price without tax Q 1 P B Q 2 P S
  • 15. DETERMINANTS OF THE DEADWEIGHT LOSS What determines whether the deadweight loss from a tax is large or small? The magnitude of the deadweight loss depends on how much the quantity supplied and quantity demanded respond to changes in the price. That, in turn, depends on the price elasticities of supply and demand.
  • 16. Figure 5 Tax Distortions and Elasticities Copyright © 2004 South-Western (a) Inelastic Supply Price 0 Quantity Demand Supply Size of tax When supply is relatively inelastic, the deadweight loss of a tax is small.
  • 17. Figure 5 Tax Distortions and Elasticities Copyright © 2004 South-Western (b) Elastic Supply Price 0 Quantity Demand Supply Size of tax When supply is relatively elastic, the deadweight loss of a tax is large.
  • 18. Figure 5 Tax Distortions and Elasticities Copyright © 2004 South-Western (c) Inelastic Demand Price 0 Quantity Demand Supply Size of tax When demand is relatively inelastic, the deadweight loss of a tax is small.
  • 19. Figure 5 Tax Distortions and Elasticities Copyright © 2004 South-Western (d) Elastic Demand Price 0 Quantity Size of tax Demand Supply When demand is relatively elastic, the deadweight loss of a tax is large.
  • 20. DETERMINANTS OF THE DEADWEIGHT LOSS The greater the elasticities of demand and supply: the larger will be the decline in equilibrium quantity and, the greater the deadweight loss of a tax.
  • 21. DEADWEIGHT LOSS AND TAX REVENUE AS TAXES VARY The Deadweight Loss Debate Some economists argue that labor taxes are highly distorting and believe that labor supply is more elastic. Some examples of workers who may respond more to incentives: Workers who can adjust the number of hours they work Families with second earners Elderly who can choose when to retire Workers in the underground economy (i.e., those engaging in illegal activity)
  • 22. DEADWEIGHT LOSS AND TAX REVENUE AS TAXES VARY With each increase in the tax rate, the deadweight loss of the tax rises even more rapidly than the size of the tax.
  • 23. Figure 6 Deadweight Loss and Tax Revenue from Three Taxes of Different Sizes Copyright © 2004 South-Western Quantity 0 Price (a) Small Tax Tax revenue Demand Supply Q 1 Deadweight loss P B Q 2 P S
  • 24. Figure 6 Deadweight Loss and Tax Revenue from Three Taxes of Different Sizes Copyright © 2004 South-Western Quantity 0 Price (b) Medium Tax Tax revenue P B Q 2 P S Supply Demand Q 1 Deadweight loss
  • 25. Figure 6 Deadweight Loss and Tax Revenue from Three Taxes of Different Sizes Copyright © 2004 South-Western Quantity 0 Price (c) Large Tax Tax revenue Demand Supply Q 1 P B Q 2 P S Deadweight loss
  • 26. DEADWEIGHT LOSS AND TAX REVENUE AS TAXES VARY For the small tax, tax revenue is small. As the size of the tax rises, tax revenue grows. But as the size of the tax continues to rise, tax revenue falls because the higher tax reduces the size of the market.
  • 27. Figure 7 How Deadweight Loss and Tax Revenue Vary with the Size of a Tax Copyright © 2004 South-Western (a) Deadweight Loss Deadweight Loss 0 Tax Size
  • 28. Figure 7 How Deadweight Loss and Tax Revenue Vary with the Size of a Tax Copyright © 2004 South-Western (b) Revenue (the Laffer curve) Tax Revenue 0 Tax Size
  • 29. DEADWEIGHT LOSS AND TAX REVENUE AS TAXES VARY As the size of a tax increases, its deadweight loss quickly gets larger. By contrast, tax revenue first rises with the size of a tax, but then, as the tax gets larger, the market shrinks so much that tax revenue starts to fall.
  • 30. CASE STUDY: The Laffer Curve and Supply-side Economics The Laffer curve depicts the relationship between tax rates and tax revenue. Supply-side economics refers to the views of Reagan and Laffer who proposed that a tax cut would induce more people to work and thereby have the potential to increase tax revenues.
  • 31. Summary A tax on a good reduces the welfare of buyers and sellers of the good, and the reduction in consumer and producer surplus usually exceeds the revenues raised by the government. The fall in total surplus—the sum of consumer surplus, producer surplus, and tax revenue — is called the deadweight loss of the tax.
  • 32. Summary Taxes have a deadweight loss because they cause buyers to consume less and sellers to produce less. This change in behavior shrinks the size of the market below the level that maximizes total surplus.
  • 33. Summary As a tax grows larger, it distorts incentives more, and its deadweight loss grows larger. Tax revenue first rises with the size of a tax. Eventually, however, a larger tax reduces tax revenue because it reduces the size of the market.