8 Application: The Costs of Taxation. CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 2 The Effects of...

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8 Application: The Costs of Taxation

Transcript of 8 Application: The Costs of Taxation. CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 2 The Effects of...

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Application: The Costs of Taxation

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The Effects of Taxation• We saw in Chapter 6 how taxes

– reduce the equilibrium quantity, – increase the price paid by buyers, and – decrease the price received by sellers.

• We also saw that– It does not matter whether a tax is placed on the

buyers or the sellers; • the outcome is the same in either case

• But how do taxes affect the economic well-being of market participants?

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Welfare Economics

• Welfare economicsWelfare economics is the study of how the allocation of resources affects economic well-being.

• We saw in Chapter 7 that– Buyers benefit from buying (consumer surplus),

and – Sellers benefit from selling (producer surplus)– The equilibrium outcome in a perfectly competitive

market maximizes the total surplus of society.

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Applying welfare economics to study the effects of taxation

• In this chapter we will combine what we learned in Chapters 6 and 7 to compare the costs and the benefits of a tax

CHAPTER 8 APPLICATION: THE COSTS OF TAXATION4

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Figure1 The Effects of a Tax

Size of tax

Quantity0

Buyers’ PriceSellers’ price

Price buyers pay

Price sellersreceive

Demand

Supply

Pricewithout tax

Quantitywithout tax

Quantitywith tax

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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.– See Chapter 6 for details

• This fall in output is the cost of the tax

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How a Tax Affects Market Participants

• Governments earn revenue from taxes• This revenue is the benefit of the tax• Tax Revenue

– T = the size of the tax– Q = the quantity of the good sold

TT QQ = the government’s tax revenue = the government’s tax revenue

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Figure 2 Tax Revenue

Taxrevenue (T × Q)

Size of tax (T)

Quantitysold (Q)

Quantity0

Price

Demand

Supply

Quantitywithout tax

Quantitywith tax

Price buyerspay

Price sellersreceive

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Figure 3 How a Tax Affects Welfare

A

F

B

D

C

E

Quantity0

Price

Demand

Supply

= PB

Q2

= PS

Pricebuyers

pay

Pricesellers

receive

= P1

Q1

Pricewithout tax

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Deadweight Losses and the Gains from Trade

• The cost of a tax exceeds the benefit of a tax• The decrease in total surplus that is caused by

a tax is the deadweight loss of the tax• Taxes cause deadweight losses because they

prevent buyers and sellers from realizing some of the gains from trade.

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Figure 4 The Deadweight Loss

Cost tosellersValue to

buyers

Size of tax

Quantity0

Price

Demand

SupplyLost gainsfrom trade

Reduction in quantity due to the tax

Pricewithout tax

Q1

PB

Q2

PS

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DETERMINANTS OF THE DEADWEIGHT LOSS

• What determines whether the deadweight loss from a tax is large or small?– The size of the deadweight loss depends on how

much the quantity supplied and quantity demanded respond to changes in the price.

– In other words, the size of a tax’s deadweight loss depends on the price elasticitiesprice elasticities of supply and demand.

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Figure 5 Tax Distortions and Elasticities

(a) Inelastic Supply

Price

0 Quantity

Demand

Supply

Size of tax

When supply isrelatively inelastic,the deadweight lossof a tax is small.

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Figure 5 Tax Distortions and Elasticities

(b) Elastic Supply

Price

0 Quantity

Demand

SupplySizeoftax

When supply is relativelyelastic, the deadweightloss of a tax is large.

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Figure 5 Tax Distortions and Elasticities

Demand

Supply

(c) Inelastic Demand

Price

0 Quantity

Size of taxWhen demand isrelatively inelastic,the deadweight lossof a tax is small.

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Figure 5 Tax Distortions and Elasticities

(d) Elastic Demand

Price

0 Quantity

Sizeoftax Demand

Supply

When demand is relativelyelastic, the deadweightloss of a tax is large.

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DETERMINANTS OF THE DEADWEIGHT LOSS

• The greater the elasticities of demand and supply:– the larger the decline in equilibrium quantity and,– the greater the deadweight loss of a tax.

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The Deadweight Loss Debate

• Some economists argue that taxes on labor income are highly distorting—that is, taxes on labor income have high deadweight losses—because they believe that labor supply is elastic.– Here are 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)

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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.

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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

Deadweightloss

PB

Q2

PS

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Figure 6 Deadweight Loss and Tax Revenue from Three Taxes of Different Sizes

Tax revenue

Quantity0

Price

(b) Medium Tax

Supply

Demand

PB

Q2

PS

Deadweightloss When the tax

rate doubles, the deadweight loss quadruples

Q1

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Figure 6 Deadweight Loss and Tax Revenue from Three Taxes of Different Sizes

Tax

rev

enue

Demand

Supply

Quantity0

Price

Q1

(c) Large Tax

PB

Q2

PS

Deadweightloss

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Figure 6 How Deadweight Loss and Tax Revenue Vary with the Size of a Tax

(d) deadweight loss continually increases

DeadweightLoss

0 Tax Size

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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 quantity bought and sold shrinks so much that tax revenues start to fall.

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DEADWEIGHT LOSS AND TAX REVENUE AS TAXES VARY

• Tax revenue = tax rate × quantity bought and sold– TR = T × Q

• T↑ causes Q↓• Therefore, the effect of T↑ on TR is ambiguous• T↑ causes TR↑ when the tax rate (T) is low• T↑ causes TR↓ when the tax rate (T) is high• This gives us the Laffer Curve

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Figure 6 How Deadweight Loss and Tax Revenue Vary with the Size of a Tax

(e) Tax revenue first increases, then decreases (the Laffer curve)

TaxRevenue

0 Tax SizeT1

Note that it makes no sense at all to make the tax size bigger than T1.

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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 view that a tax cut– would induce more people to work, and thereby – have the potential to increase tax revenues.

• Large tax cuts were adopted during the Reagan administration

• The results do not settle the debate on the validity of supply-side economics

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CASE STUDY: The Laffer Curve and Supply-Side Economics

• Between the early 1970s and mid 1990s, the French tax rate rose to 59 percent from 49 percent, while the U.S. tax rate held at 40 percent

• The average French person of working age logged 24.4 hours a week in the early 1970s, one hour more than an American. By the mid 1990s, the French workweek had shrunk to 17.5 hours, while the U.S. workweek had grown to 25.9 hours– Data from research by Edward Prescott

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CASE STUDY: The Laffer Curve and Supply-side Economics

Country Tax Rate Workweek

Italy 64% 16.5 hours

France 59 17.5

Germany 59 19.3

Canada 52 22.8

UK 44 22.9

USA 40 25.9

Japan 37 27.0

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Data from research by Edward Prescott

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The Price of a Civilized Society• This chapter has focused on the negative

effects of taxes on buyers and sellers in a market

• However, without taxes we would not have a functioning government

• As Oliver Wendell Holmes, Jr., Supreme Court Justice, once said, “Taxes are the price we pay for a civilized society."

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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.

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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.

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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.