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Chapter 8 notes Figure 1 The Effects of a Tax Price The price paid by consumers is higher The price received by firms is lower. Supply Price buyers pay Size of tax Who benefits? Price without tax Price sellers receive And the quantity declines. 0 Quantity with tax Quantity without tax Demand Quantity 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 Price Supply Price buyers pay Size of tax (T) Tax revenue (T × Q) Price sellers receive Demand Quantity sold (Q) 0 Quantity with tax Quantity without tax Quantity Welfare, Taxes and Total Surplus • Without tax – market is at equilibrium; total surplus is area between the S and D curves up to EQ • With tax – total surplus = new consumer surplus + tax revenue + new producer surplus Deadweight Loss • When taxes are enacted, buyers and sellers are worse off and gov’t is better off • Total surplus falls • Deadweight Loss = the fall in total surplus b/c of a distortion such as a tax • Taxes cause deadweight losses because they prevent buyers and sellers from realizing some of the gains from trade Figure 3 How a Tax Effects Welfare Price Price buyers = PB pay Supply A B C Price without tax = P1 Price sellers = PS receive E D F Demand 0 Q2 Q1 Quantity Change in total welfare • 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. Figure 4 The Deadweight Loss Price Lost gains from trade PB Supply Size of tax Price without tax PS Cost to sellers Value to buyers 0 Q2 Demand Q1 Reduction in quantity due to the tax Quantity Determinants of 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 (a) Inelastic Supply Price Supply When supply is relatively inelastic, the deadweight loss of a tax is small. Size of tax Demand 0 Quantity Figure 5 Tax Distortions and Elasticities (b) Elastic Supply Price When supply is relatively elastic, the deadweight loss of a tax is large. Size of tax Supply Demand 0 Quantity Figure 5 Tax Distortions and Elasticities (c) Inelastic Demand Price Supply Size of tax When demand is relatively inelastic, the deadweight loss of a tax is small. Demand 0 Quantity Figure 5 Tax Distortions and Elasticities (d) Elastic Demand Price Supply Size of tax Demand When demand is relatively elastic, the deadweight loss of a tax is large. 0 Quantity Size of DWL • 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. 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) DWL and Tax Revenue • With each increase in the tax rate, the deadweight loss of the tax rises even more rapidly than the size of the tax. • 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 6 How Deadweight Loss and Tax Revenue Vary with the Size of the Tax Price (a) Small Tax Deadweight loss Supply PB Tax revenue PS Demand 0 Q2 Q1 Quantity Figure 6 How Deadweight Loss and Tax Revenue Vary with the Size of the Tax Price (b) Medium Tax Deadweight loss PB Supply Tax revenue PS 0 Demand Q2 Q1 Quantity Figure 6 How Deadweight Loss and Tax Revenue Vary with the Size of the Tax (c) Large Tax Price PB Deadweight loss Tax revenue Supply Demand PS 0 Q2 Q1 Quantity • 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. Figure 6 How Deadweight Loss and Tax Revenue Vary with the Size of a Tax (a) Deadweight Loss Deadweight Loss 0 Tax Size 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. Figure 6 How Deadweight Loss and Tax Revenue Vary with the Size of a Tax (b) Revenue (the Laffer curve) Tax Revenue 0 Tax Size