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Copyright©2004 South-Western
8Application: The
Costs of Taxation
Copyright © 2004 South-Western/Thomson Learning
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.
Copyright © 2004 South-Western/Thomson Learning
THE DEADWEIGHT LOSS OF
TAXATION
• How do taxes affect the economic well-being of
market participants?
Copyright © 2004 South-Western/Thomson Learning
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
Size of tax
Quantity0
Price
Price buyers
pay
Price sellers
receive
Demand
Supply
Price
without tax
Quantity
without tax
Quantity
with tax
Copyright © 2004 South-Western/Thomson Learning
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.
Copyright © 2004 South-Western/Thomson Learning
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
Tax
revenue
(T × Q)
Size of tax (T)
Quantity
sold (Q)
Quantity0
Price
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
A
F
B
D
C
E
Quantity0
Price
Demand
Supply
= PB
Q2
= PS
Price
buyers
pay
Price
sellers
receive
= P1
Q1
Price
without tax
Copyright © 2004 South-Western/Thomson Learning
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.
Copyright © 2004 South-Western/Thomson Learning
How a Tax Affects Welfare
Copyright © 2004 South-Western/Thomson Learning
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.
Copyright © 2004 South-Western/Thomson Learning
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
Cost to
sellersValue to
buyers
Size of tax
Quantity0
Price
Demand
SupplyLost gains
from trade
Reduction in quantity due to the tax
Price
without tax
Q1
PB
Q2
PS
Copyright © 2004 South-Western/Thomson Learning
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
SupplySize
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
Demand
Supply
(c) Inelastic Demand
Price
0 Quantity
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.
Copyright © 2004 South-Western/Thomson Learning
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.
Copyright © 2004 South-Western/Thomson Learning
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)
Copyright © 2004 South-Western/Thomson Learning
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
Tax revenue
Demand
Supply
Quantity0
Price
Q1
(a) Small Tax
Deadweight
loss
PB
Q2
PS
Figure 6 Deadweight Loss and Tax Revenue from Three
Taxes of Different Sizes
Copyright © 2004 South-Western
Tax revenue
Quantity0
Price
(b) Medium Tax
PB
Q2
PS
Supply
Demand
Q1
Deadweight
loss
Figure 6 Deadweight Loss and Tax Revenue from Three
Taxes of Different Sizes
Copyright © 2004 South-Western
Taxrevenue
Demand
Supply
Quantity0
Price
Q1
(c) Large Tax
PB
Q2
PS
Deadweight
loss
Copyright © 2004 South-Western/Thomson Learning
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
Copyright © 2004 South-Western/Thomson Learning
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.
Copyright © 2004 South-Western/Thomson Learning
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.
Copyright © 2004 South-Western/Thomson Learning
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.
Copyright © 2004 South-Western/Thomson Learning
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.
Copyright © 2004 South-Western/Thomson Learning
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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Dead weight loss slide of KU

  • 2. Copyright © 2004 South-Western/Thomson Learning 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. Copyright © 2004 South-Western/Thomson Learning THE DEADWEIGHT LOSS OF TAXATION • How do taxes affect the economic well-being of market participants?
  • 4. Copyright © 2004 South-Western/Thomson Learning 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 Size of tax Quantity0 Price Price buyers pay Price sellers receive Demand Supply Price without tax Quantity without tax Quantity with tax
  • 6. Copyright © 2004 South-Western/Thomson Learning 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. Copyright © 2004 South-Western/Thomson Learning 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 Tax revenue (T × Q) Size of tax (T) Quantity sold (Q) Quantity0 Price 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 A F B D C E Quantity0 Price Demand Supply = PB Q2 = PS Price buyers pay Price sellers receive = P1 Q1 Price without tax
  • 10. Copyright © 2004 South-Western/Thomson Learning 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. Copyright © 2004 South-Western/Thomson Learning How a Tax Affects Welfare
  • 12. Copyright © 2004 South-Western/Thomson Learning 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. Copyright © 2004 South-Western/Thomson Learning 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 Cost to sellersValue to buyers Size of tax Quantity0 Price Demand SupplyLost gains from trade Reduction in quantity due to the tax Price without tax Q1 PB Q2 PS
  • 15. Copyright © 2004 South-Western/Thomson Learning 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 SupplySize 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 Demand Supply (c) Inelastic Demand Price 0 Quantity 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. Copyright © 2004 South-Western/Thomson Learning 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. Copyright © 2004 South-Western/Thomson Learning 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. Copyright © 2004 South-Western/Thomson Learning 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 Tax revenue Demand Supply Quantity0 Price Q1 (a) Small Tax Deadweight loss PB Q2 PS
  • 24. Figure 6 Deadweight Loss and Tax Revenue from Three Taxes of Different Sizes Copyright © 2004 South-Western Tax revenue Quantity0 Price (b) Medium Tax PB Q2 PS Supply Demand Q1 Deadweight loss
  • 25. Figure 6 Deadweight Loss and Tax Revenue from Three Taxes of Different Sizes Copyright © 2004 South-Western Taxrevenue Demand Supply Quantity0 Price Q1 (c) Large Tax PB Q2 PS Deadweight loss
  • 26. Copyright © 2004 South-Western/Thomson Learning 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. Copyright © 2004 South-Western/Thomson Learning 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. Copyright © 2004 South-Western/Thomson Learning 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. Copyright © 2004 South-Western/Thomson Learning 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. Copyright © 2004 South-Western/Thomson Learning 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. Copyright © 2004 South-Western/Thomson Learning 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.