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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
Size of tax
Quantity
0
Price
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
Tax
revenue
(T × Q)
Size of tax (T)
Quantity
sold (Q)
Quantity
0
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
Quantity
0
Price
Demand
Supply
= PB
Q2
= PS
Price
buyers
pay
Price
sellers
receive
= P1
Q1
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
Cost to
sellers
Value to
buyers
Size of tax
Quantity
0
Price
Demand
Supply
Lost gains
from trade
Reduction in quantity due to the tax
Price
without tax
Q1
PB
Q2
PS
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
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.
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
Tax revenue
Demand
Supply
Quantity
0
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
Quantity
0
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
Tax
revenue
Demand
Supply
Quantity
0
Price
Q1
(c) Large Tax
PB
Q2
PS
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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thecostsoftaxation-150228122134-conversion-gate01.pdf

  • 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 Size of tax Quantity 0 Price 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 Tax revenue (T × Q) Size of tax (T) Quantity sold (Q) Quantity 0 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 Quantity 0 Price Demand Supply = PB Q2 = PS Price buyers pay Price sellers receive = P1 Q1 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 Cost to sellers Value to buyers Size of tax Quantity 0 Price Demand Supply Lost gains from trade Reduction in quantity due to the tax Price without tax Q1 PB Q2 PS
  • 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 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. 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 Tax revenue Demand Supply Quantity 0 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 Quantity 0 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 Tax revenue Demand Supply Quantity 0 Price Q1 (c) Large Tax PB Q2 PS 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.