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Lecture 3: Tax Incidence and Efficiency Costs of Taxation Stefanie Stantcheva Fall 2017 1 50

Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

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Page 1: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Lecture 3: Tax Incidence and Efficiency Costs ofTaxation

Stefanie Stantcheva

Fall 2017

1 50

Page 2: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What
Page 3: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

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C H A P T E R 1 9 ■ T H E E Q U I T Y I M P L I C A T I O N S O F T A X A T I O N : T A X I N C I D E N C E

Public Finance and Public Policy Jonathan Gruber Fourth Edition Copyright © 2012 Worth Publishers

19.1

Tax Incidence

• Tax incidence: Assessing which party (consumers or producers) bears the true burden of a tax.

Category: 1960 2008

Income taxes 44.5% 43.7%

Corporate taxes 22.8 11.3

Payroll tax 17.0 37.8

Excise taxes 12.8 2.6

Other 2.9 4.5

Sources of federal government revenue, 1960 and 2008:

Page 4: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

TAX INCIDENCE

Tax incidence is the study of the effects of tax policies on prices and thewelfare of individuals

What happens to market prices when a tax is introduced or changed?

Example: what happens when impose $1 per pack tax on cigarettes?

Effect on price ⇒ distributional effects on smokers, profits of producers,shareholders, farmers, etc.

This is positive analysis: typically the first step in policy evaluation; it isan input to later thinking about what policy maximizes social welfare.

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Page 5: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

TAX INCIDENCE

Tax incidence is not an accounting exercise but an analytical characterization ofchanges in economic equilibria when taxes are changed.

Statutory incidence 6= economic incidence.

Key point: Taxes can be shifted: taxes affect directly prices, which affect quantitiesbecause of behavioral responses, which affect indirectly the price of other goods.

If prices are constant econ incidence = statutory incidence.

Example: Liberals favor capital income taxation because capital income isconcentrated at the high end of the income distribution. Taxing capital meanstaxing disproportionately the rich.

Argument neglects implicitly GE price effects: if people save less because ofcapital taxes, capital stock may go down driving also the wages down and hurtingworkers. The capital tax might be shifted partly on workers.

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Page 6: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Partial Equilibrium Tax Incidence

Partial Equilibrium Model:

Simple model goes a long way to showing main results.

Government levies an excise tax on good x

Excise means it is levied on a quantity (gallon, pack, ton, ...). Typically fixedin nominal terms (e.g, $1 per pack)

[ad-valorem tax is a fraction of prices (e.g. 5% sales tax)]

Let p denote the pretax price of x (producer price)

Let q = p + t denote the tax inclusive price of x (consumer price)

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Page 7: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

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Q2 = 80

B

C

D

Price pergallon (P)

Quantity inbillions of

gallons (Q)

0

A

S1

D

P1 = $1.50

Q1 = 100

(a) Tax on producers S2

E

Tax =$0.50

Q3 = 90

P2 = $2.00

P3 = $1.80

$1.30

Consumerburden =

$0.30

Producerburden =

$0.20

The Statutory Burden of a Tax Does Not Describe

Who Really Bears the Tax, and Is Irrelevant to the

Tax Burden

19.1

Price pergallon (P)

Quantity inbillions of

gallons (Q)

0

A

S

D1

P1 = $1.50

Q1 = 100

(b) Tax on consumers

D2

Tax =$0.50

C

B

D

E$1.80

P3 = $1.30

P2 = $1.00

Producerburden =

$0.20

Consumerburden =

$0.30

Page 8: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

TAX INCIDENCE

Demand for good x is D(q) decreases with q = p + t

Supply for good x is S(p) increases with p

Equilibrium condition: Q = S(p) = D(p + t)

Start from t = 0 and S(p) = D(p). We want to characterize dp/dt : effectof a small tax increase on price, which determines who bears effectiveburden of tax:

Change dt generates change dp so that equilibrium holds:S(p + dp) = D(p + dp + dt)⇒

S(p) + S ′(p)dp = D(p) +D ′(p)(dp + dt)⇒

S ′(p)dp = D ′(p)(dp + dt)⇒ dp

dt=

D ′(p)

(S ′(p)−D ′(p))

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Page 9: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

TAX INCIDENCE

Useful to use elasticities in economics because elasticities are unit free

Elasticity: percentage change in quantity when price changes by onepercent

εD = qD

dDdq = qD ′(q)

D(q)< 0 denotes the price elasticity of demand

εS = pSdSdp = pS ′(p)

S(p)> 0 denotes the price elasticity of supply

dp

dt=

D ′(p)

S ′(p)−D ′(p)=

εD

εS − εD

−1 ≤ dp

dt≤ 0 and 0 ≤ dq

dt= 1+

dp

dt≤ 1

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Page 10: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

TAX INCIDENCE

dp

dt=

εD

εS − εD

When do consumers bear the entire burden of the tax? (dp/dt = 0 anddq/dt = 1)

1) εD = 0 [inelastic demand] (e.g: short-run demand for gasoline inelastic (need todrive to work))

2) εS =∞ [perfectly elastic supply] (e.g.: perfectly competitive industry)

When do producers bear the entire burden of the tax? (dp/dt = −1 anddq/dt = 0)

1) εS = 0 [inelastic supply] (e.g.: fixed capacity and sunk investment, hard toconvert).

2) εD = −∞ [perfectly elastic demand] (e.g.: there is a close substitute, anddemand shifts to this substitute if price changes).

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Page 11: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

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19.1

Perfectly Inelastic Demand

Page 12: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

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19.1

Perfectly Elastic Demand

Page 13: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

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19.1

Supply Elasticities

Page 14: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

TAX INCIDENCE: KEY RESULTS

1) statutory incidence not equal to economic incidence

2) equilibrium is independent of who nominally pays the tax

3) more inelastic factor bears more of the tax

These are robust conclusions that hold with more complicated models

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Page 15: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Efficiency Costs of Taxation

Deadweight burden (also called excess burden) of taxation is defined asthe welfare loss (measured in dollars) created by a tax over and above thetax revenue generated by the tax

In the simple supply and demand diagram, welfare is measured by the sumof the consumer surplus and producer surplus

The welfare loss of taxation is measured as change in consumer+producersurplus minus tax collected: it is the triangle on the figure

The inefficiency of any tax is determined by the extent to which consumers andproducers change their behavior to avoid the tax; deadweight loss is caused byindividuals and firms making inefficient consumption and production choices inorder to avoid taxation.

If there is no change in quantities consumed, the tax has no efficiency costs

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Page 16: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

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Public Finance and Public Policy Jonathan Gruber Fourth Edition Copyright © 2012 Worth Publishers

B

C

Price pergallon (P)

Quantity inbillions of

gallons (Q)

0

S1

D1

P1 = $1.50

Q1 = 100

S2

E

Tax =$0.50

Q2 = 90

P2 = $1.80

P3 = $1.30

F

G

DA

Taxation and Economic Efficiency: Graphical

Approach

20.1

Deadweight loss, DWL

Page 17: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Efficiency Costs of Taxation

Deadweight burden (or deadweight loss) of small tax dt (starting from zerotax) is measured by the Harberger Triangle:

DWB =12dQ · dt = 1

2S ′(p) · dp · dt = 1

2pS ′(p)

S(p)· Qp· dp · dt

[recall that Q = S(p) and hence dQ = S ′(p)dp]

Recall that dp/dt = εD/(εS − εD), hence:

DWB =12· εS · εD

εS − εD· Qp(dt)2

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Page 18: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Efficiency Costs of Taxation

DWB =12· εS · εD

εS − εD· Qp(dt)2

1) DWB increases with the absolute size of elasticities εS > 0 and−εD > 0

⇒ More efficient to tax relatively inelastic goods

2) DWB increases with the square of the tax rate t : small taxes haverelatively small efficiency costs, large taxes have relatively large efficiencycosts

⇒ More efficient to spread taxes across all goods to keep each tax rate low

⇒ Better to fund large one time govt expense (such as a war) with debt and repayslowly afterwards than have very high taxes only during war

3) Pre-existing distortions (such as an existing tax) makes the cost oftaxation higher: move from the triangle to trapezoid (think of status quo!!!)

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Page 19: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

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Public Finance and Public Policy Jonathan Gruber Fourth Edition Copyright © 2012 Worth Publishers

B

Price pergallon (P)

Quantity inbillions of

gallons (Q)

0

(a) Inelastic demand

S1

D1

P1

Q1

(b) Elastic demandS2

P2

Q2

Tax

A

B

C

DWL

Price pergallon (P)

Quantity inbillions of

gallons (Q)

0

S1

D1

P1

Q1

S2

P2

Q2

Tax

A

DWLC

Elasticities Determine Tax Inefficiency

20.1

Page 20: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

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Public Finance and Public Policy Jonathan Gruber Fourth Edition Copyright © 2012 Worth Publishers

B

C

Priceof gas

Quantity of gas0

S1

D1

P1

Q1

E

Tax =$0.10

Q2

P2

P3

D

DWL

Q3

Tax =$0.10

S2

S3

A

Marginal DWL Rises with Tax Rate

20.1

Page 21: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Application: Optimal Commodity Taxation

Ramsey (1927) asked by Pigou to solve the following problem:

Consumer consumes K different goods. What are the tax rates t1, .., tK of eachgood that raise a given amount of revenue while minimizing the welfare loss to theindividual?

Uniform tax rates t = t1 = .. = tK is not optimal if the individual has more elasticdemand for some goods than for others

Optimum is called the Ramsey tax rule: optimal tax rates are such that themarginal DWB for last dollar of tax collected is the same across all goods

Ramsey Rule: MDWLi = constant×MRi

(constant = marginal value of govt revenues).

⇒ Tax more the goods that have inelastic demands [and tax less the goods thathave elastic demands]

Note: this abstracts from redistribution and focuses solely on efficiency21 50

Page 22: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Tax Incidence: Empirical Application

Doyle and Sampatharank (2008) study the Gas Tax Holidays in Indiana(IN) and Illinois (IL).

Are gas tax cuts passed through to consumers? or do producers pocket thetax cut and leave consumer price unchanged?

Study this question using state-level gas tax reforms

Gas prices spike above $2.00 in 2000

IN suspends 5% gas tax on July 1. Reinstated on Oct 30.

IL suspends 5% gas tax on July 1. Reinstated on Dec 31.

22 50

Page 23: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Tax Incidence: Empirical Application

Empirical approach in paper: difference-in-difference (DD), comparetreated states with neighboring states (MI, OH, MO, IA, WI) before and aftertax change

Graphical evidence is most transparent. Findings:

1) 10 cent increase in gas tax ⇒ 7 cent increase in price paid by consumers

2) Consumers bear 70% of incidence of the gas tax (and conversely, get 70%of the benefit of a gas tax cut)

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Page 24: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Figure 2A: Summer 2000 Difference in Log Gas Prices

IL/IN vs. Neighboring States: MI, OH, MO, IA, WI

-0.1

-0.08

-0.06

-0.04

-0.02

0

6/1/2

000

6/8/2

000

6/15/

2000

6/22/

2000

6/29/

2000

7/6/2

000

7/13/

2000

7/20/

2000

7/27/

2000

Date

Lo

g P

oin

ts

Source: Doyle and Samphantharak 2008.

Page 25: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Figure 2B: Fall 2000 Difference in Log Gas Prices

IN vs. Neighboring States: MI, OH, IL

-0.08

-0.06

-0.04

-0.02

0

0.02

0.04

10/1/

2000

10/8/

2000

10/15

/200

0

10/22

/200

0

10/29

/200

0

11/5/

2000

11/12

/200

0

11/19

/200

0

11/26

/200

0

Dates

Lo

g P

oin

ts

Source: Doyle and Samphantharak 2008.

Page 26: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Figure 2C: Winter 2000/2001 Difference in Log Gas Prices

IL vs. Neighboring States: MO, IA, WI, IN

0

0.02

0.04

0.06

0.08

1-Dec-00 11-Dec-00 21-Dec-00 31-Dec-00 10-Jan-01 20-Jan-01 30-Jan-01

Date

Lo

g P

oin

ts

Source: Doyle and Samphantharak 2008.

Page 27: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

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19.4

• Excises tax on cigarettes varies widely across the United States.

o Low of $0.025/pack per pack in VA.

o High of $1.51/pack in CT and MA.

o Since 1990, NJ increased its tax rate nearly sixfold.

o Arizona has increased its tax nearly eightfold.

• Many studies examine how taxes affect prices.

• These studies uniformly conclude that the price of cigarettes rises by the full amount of the excise tax.

EVIDENCE: The Incidence of Excise Taxation

Page 28: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

General Equilibrium Tax Incidence

Examples so far have focused on partial equilibrium incidence whichconsiders impact of a tax on one market in isolation

General equilibrium models consider the effects on related markets of atax imposed on one market

E.g. imposition of a tax on cars may reduce demand for steel ⇒ additionaleffects on prices in equilibrium beyond car market.

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Page 29: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

General Equilibrium Tax Incidence:Example: Soda Tax in Berkeley

Consider the market for Soda beverages in Berkeley

Berkeley imposes a Soda tax (voted in 2014)

Who bears the incidence?

If soda demand in Berkeley is inelastic, then consumers bear burden

Demand for Soda in Berkeley is likely to be elastic: if price of Soda inBerkeley goes up, you consume less Soda [intention of the tax] or buy Sodain Oakland

Consider extreme case of perfectly elastic demand

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Page 30: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

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19.3

Effects of a Restaurant Tax: A General Equilibrium

Example

Page 31: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

General Equilibrium Tax Incidence:Example: Soda Tax

If Soda demand perfectly elastic then:

1) Berkeley Soda sellers (supermarkets, restaurants) bear the full burden ofthe tax.

2) But Soda sellers are not self-contained entities

Companies are just a technology for combining capital and labor to produce anoutput.

Capital: land, physical inputs like building, kitchen equipment, etc.

Labor: cashier staff, cooks, waitstaff, etc.

3) Ultimately, these two factors (capital or labor) must bear the loss inprofits due to the tax [if consumer demand is perfectly elastic]

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Page 32: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

General Equilibrium Tax Incidence:Example: Soda Tax

Incidence is “shifted backward” to capital and labor.

Assume that labor supply is perfectly elastic because Berkeleyrestaurant/supermarket workers can always go and work in Oakland ifthey get paid less in Berkeley

Capital, in contrast, is perfectly inelastic in short-run: you cannot pick upthe shop and move it in the short run.

In short run, capital bears tax because it is completely inelastic ⇒ Sodabusiness owners lose (not consumers or workers)

In the longer-run, the supply of capital is also likely to be highly elastic:Investors can close or sell the shop, take their money, and invest itelsewhere.

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Page 33: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

General Equilibrium Tax Incidence:Long-run effects

If both labor and capital are highly elastic in the long run, who bears thetax?

The one additional inelastic factor is land.

The supply is clearly fixed.

When both labor and capital can avoid the tax, the only way Soda sellers willremain in Berleley is if they pay a lower rent on their land.

⇒ Soda tax ends up hurting Berkeley landowners in general equilibrium [ifSoda demand, labor and capital are fully elastic]

This if of course an idealized example, in practice, demand, labor, andcapital are not fully elastic

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Page 34: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

CBO TAX INCIDENCE ASSUMPTIONS

The Congressional Budget Office (CBO) analysis considers the incidence ofthe full set of taxes levied by the federal government. Their keyassumptions follow:

1. Individual Income taxes are borne fully by the households that pay them.

2. Payroll taxes are borne fully by workers, regardless of whether thesetaxes are paid by the workers or by the firm.

3. Excise taxes are fully shifted to prices and so are borne by individualsin proportion to their consumption of the taxed item.

4. Corporate taxes are allocated 75% to owners of capital (not onlyshareholders but owners of capital in general) in proportion to capitalincome and 25% to labor in proportion to labor income [Most controversial]Debate whether corporate tax really as progressive as CBO typicallyassumed.

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Page 35: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

JUNE 2016 THE DISTRIBUTION OF HOUSEHOLD INCOME AND FEDERAL TAXES, 2013 11

CBO

Figure 4.

Average Federal Tax Rates, by Before-Tax Income Group, 2013

Source: Congressional Budget Office.

Average federal tax rates are calculated by dividing federal taxes by before-tax income.

Before-tax income is market income plus government transfers. Market income consists of labor income, business income, capital gains (profits realized from the sale of assets), capital income excluding capital gains, income received in retirement for past services, and other sources of income. Government transfers are cash payments and in-kind benefits from social insurance and other government assistance programs. Those transfers include payments and benefits from federal, state, and local governments.

Federal taxes include individual income taxes, payroll taxes, corporate income taxes, and excise taxes.

Income groups are created by ranking households by before-tax income, adjusted for household size. Quintiles (fifths) contain equal numbers of people; percentiles (hundredths) contain equal numbers of people as well.

For more detailed definitions of income, see the appendix.

for households in the middle quintile. Because individual income tax rates are negative, on average, for households in the bottom two quintiles, the differences between pay-roll tax rates and income tax rates are even more signifi-cant. Payroll tax rates are about 9 percentage points and 15 percentage points higher than income tax rates for households in the second and lowest quintiles, respectively.

Corporate Income Taxes. The average corporate income tax borne by households increases with income. CBO allocates most of that tax in proportion to each household’s share of total capital income (including adjusted capital gains), which constitutes a larger share

of income at the top of the distribution.21 In 2013, the average corporate income tax rate—corporate taxes divided by before-tax household income—was 3.7 percent for households in the highest quintile and around

Lowest Quintile

Second Quintile

Middle Quintile

Fourth Quintile

Highest Quintile81st to 90th Percentiles

91st to 95th Percentiles

96th to 99th Percentiles

Top 1 Percent

Percent

Average forEntire Quintile

0 5 10 15 20 25 30 35

21. CBO allocates 75 percent of the corporate income tax to households in proportion to their share of capital income and 25 percent to households in proportion to their share of labor income. For more discussion of the incidence of the corporate income tax, see Congressional Budget Office, The Distribution of Household Income and Federal Taxes, 2008 and 2009 (July 2012), www.cbo.gov/publication/43373. For more discussion of the adjustments made to realized capital gains when allocating the corporate tax to households, see the appendix.

Page 36: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

12 THE DISTRIBUTION OF HOUSEHOLD INCOME AND FEDERAL TAXES, 2013 JUNE 2016

CBO

Figure 5.

Average Federal Tax Rates, by Before-Tax Income Group and Tax Source, 2013

Source: Congressional Budget Office.

Average federal tax rates are calculated by dividing federal taxes by before-tax income.

Before-tax income is market income plus government transfers. Market income consists of labor income, business income, capital gains (profits realized from the sale of assets), capital income excluding capital gains, income received in retirement for past services, and other sources of income. Government transfers are cash payments and in-kind benefits from social insurance and other government assistance programs. Those transfers include payments and benefits from federal, state, and local governments.

Negative average tax rates for individual income taxes result when refundable tax credits, such as the earned income tax credit and the child tax credit, exceed the other income tax liabilities of the households in an income group.

Income groups are created by ranking households by before-tax income, adjusted for household size. Quintiles (fifths) contain equal numbers of people; percentiles (hundredths) contain equal numbers of people as well.

For more detailed definitions of income, see the appendix.

1 percent for households in the other four income quin-tiles, CBO estimates. In that year, almost 80 percent of the total corporate tax burden was borne by households in the highest income quintile; about 47 percent of the total corporate tax burden was borne by households in the top 1 percent of the income distribution.

Excise Taxes. Sales of a wide variety of goods and services are subject to federal excise taxes. Most of the revenues raised come from taxes on the sale of motor fuels (gasoline and diesel fuel), tobacco products, alcoholic beverages, and aviation-related goods and services (such as aviation fuel and airline tickets). Excise taxes are regressive—that is, the burden of excise taxes relative to income is greatest for lower-income households, which tend to spend a larger share of their income on those taxed goods and services. In 2013, average excise tax rates were 1.7 percent for households in the lowest income quintile, 0.9 percent for households in the middle income quintile, and 0.4 per-cent for households in the highest income quintile, CBO estimates.

After-Tax Income Across the Income ScaleIn 2013, households in each income group paid a positive amount of federal taxes, on average. Consequently, aver-age after-tax income was lower than average before-tax income for each income group. Because average federal tax rates rise with income, the difference between before-tax and after-tax income grows as income rises, and the distribution of after-tax income is slightly more even than the distribution of before-tax income. In the lowest quin-tile of before-tax income, average after-tax income was more than $800 lower than average before-tax income ($24,500 versus $25,400); for households in the middle quintile of before-tax income, the difference was approxi-mately $8,900 ($60,800 versus $69,700); for households in the highest quintile of before-tax income, the differ-ence was approximately $69,700 ($195,300 versus $265,000); see Table 1 on page 2. For households in the top 1 percent, the difference was approximately $534,000 ($1,037,000 versus $1,572,000), CBO estimates.

Another metric used to examine how the distributions of before- and after-tax income differ is the differences in the shares of those income measures going to each

Individual Income Taxes Payroll Taxes Corporate Income Taxes Excise Taxes-10

-5

0

5

10

15

20

LowestQuintile

SecondQuintile

MiddleQuintile

FourthQuintile

HighestQuintile

Page 37: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

INCIDENCE OF FEDERAL TAXES

1. Individual Income taxes is progressive due to tax credits for low earnersand progressive tax brackets

2. Payroll taxes are a constant tax rate of 15% but only up to $120K ofearnings ⇒ Regressive at the top

3. Excise taxes are regressive because share of income devoted toconsumption of goods with excise tax (alcohol, tobacco, gas) falls withincome

4. Corporate taxes are progressive because capital income is highlyconcentrated

State+local taxes are less progressive than Federal taxes

Piketty, Saez, Zucman ’16 estimate total tax rates (Fed+state+local)overtime relative to National Income

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Page 38: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

0%

5%

10%

15%

20%

25%

30%

35%

40%

45% 19

13

1918

1923

1928

1933

1938

1943

1948

1953

1958

1963

1968

1973

1978

1983

1988

1993

1998

2003

2008

2013

% o

f pre

-tax

inco

me

Average tax rates by pre-tax income group

Source: Appendix Table II-G1.

All

Bottom 50%

Top 1%

Page 39: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

0%

5%

10%

15%

20%

25%

30%

35%

40%

45% 19

13

1918

1923

1928

1933

1938

1943

1948

1953

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1968

1973

1978

1983

1988

1993

1998

2003

2008

2013

% o

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1%

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inco

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Figure S.22: Taxes paid by the top 1%

Estate taxes

Sales + residential property + payroll taxes

Corporate taxes

Individual income taxes

Source: Appendix Table II-G2

Page 40: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

0%

5%

10%

15%

20%

25%

30% 19

13

1918

1923

1928

1933

1938

1943

1948

1953

1958

1963

1968

1973

1978

1983

1988

1993

1998

2003

2008

2013

% o

f bot

tom

50%

pre

-tax

inco

me

Taxes paid by the bottom 50%

Capital taxes

Sales taxes

Individual income taxes

Payroll taxes

Source: Appendix Table II-G2

Page 41: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Tax Salience: A New Theory

Traditional model assumes that all individuals are fully aware of taxes thatthey pay

Is this true in practice? May be not be because (unlike gas tax) many taxesare not fully salient.

Do you know your exact marginal income tax rate? Do you think about it whenchoosing a job?

Do you know the sales tax you have to pay in addition to posted prices at cashregister?

Chetty, Looney, Kroft AER ’09: test this assumption in the context ofcommodity taxes and develop a theory of taxation with inattentiveconsumers

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Page 42: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Tax Salience: A New Theory

Chetty, Looney, Kroft AER’09 develop two empirical strategies to testwhether salience matters for sales tax incidence

Sales tax is paid at the cash register and not displayed on price tags instores

1) Randomized field experiment with supermarket stores

In one treatment store: they display new price tags showing the level of sales taxand total price on a subset of products

Compare shopping behavior for treated products vs. control products in treatedstore, before and after new tags are implemented (this is calleddifference-in-difference [DD] strategy)

Repeat the analysis in control stores as a placebo DD strategy

2) Policy experiment using variation in beer excise and sales taxes acrossstates

Excise tax is salient because built into posted price while sales tax is not salientbecause it is not included in posted price

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Page 43: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Orig.

Tag

Exp.

Tag

Source: Chetty, Looney, Kroft (2009)

Page 44: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Period Difference

Baseline 26.48 25.17 -1.31

(0.22) (0.37) (0.43)

Experiment 27.32 23.87 -3.45

(0.87) (1.02) (0.64)

Difference 0.84 -1.30 DD TS = -2.14

over time (0.75) (0.92) (0.64)

DDD Estimate -2.20

(0.58)

Effect of Posting Tax-Inclusive Prices: Mean Quantity Sold

TREATMENT STORE

Control Categories Treated Categories

Period Difference

Baseline 30.57 27.94 -2.63

(0.24) (0.30) (0.32)

Experiment 30.76 28.19 -2.57

(0.72) (1.06) (1.09)

Difference 0.19 0.25 DD CS = 0.06

over time (0.64) (0.92) (0.90)

CONTROL STORES

Control Categories Treated Categories

Source: Chetty, Looney, Kroft (2009)

Page 45: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

-.1

-.0

5

0

.05

.1

-.02 -.015 -.01 -.005 0 .005 .01 .015 .02

Figure 2a

Per Capita Beer Consumption and State Beer Excise Taxes

Cha

ng

e in L

og

Per

Ca

pita

Bee

r C

on

sum

ption

Change in Log(1+Beer Excise Rate)

Source: Chetty, Looney, Kroft (2009)

Page 46: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

-.1

-.0

5

0

.05

.1

-.02 -.015 -.01 -.005 0 .005 .01 .015 .02

Figure 2b

Per Capita Beer Consumption and State Sales Taxes

Cha

ng

e in L

og

Per

Ca

pita

Bee

r C

on

sum

ption

Change in Log(1+Sales Tax Rate)

Source: Chetty, Looney, Kroft (2009)

Page 47: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Dependent Variable: Change in Log(per capita beer consumption)

Baseline Bus Cyc,

Alc Regs. 3-Year Diffs Food Exempt

(1) (2) (3) (4)

ΔLog(1+Excise Tax Rate) -0.87 -0.89 -1.11 -0.91

(0.17)*** (0.17)*** (0.46)** (0.22)***

ΔLog(1+Sales Tax Rate) -0.20 -0.02 -0.00 -0.14

(0.30) (0.30) (0.32) (0.30)

Business Cycle Controls x x x

Alcohol Regulation Controls x x x

Year Fixed Effects x x x x

F-Test for Equality of Coeffs. 0.05 0.01 0.05 0.04

Sample Size 1,607 1,487 1,389 937

Effect of Excise and Sales Taxes on Beer Consumption

Note: Estimates imply qt 0.06 Source: Chetty, Looney, Kroft (2009)

Page 48: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Tax Salience: A New Theory

Key Empirical Result: Salience matters

1) Posting sales taxes reduces demand for those goods

2) Beer consumption is elastic to excise tax rate (built in posted price) butnot to the sales tax rate (not built in the posted price)

⇒ If tax is not salient to consumers, they are less elastic, and hence morelikely to bear the tax burden

A number of recent empirical studies show that individuals are not fullyinformed and fully rational and this has large consequences for policy

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Page 49: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

REFERENCES

Jonathan Gruber, Public Finance and Public Policy, Fifth Edition, 2016 WorthPublishers, Chapter 19

Chetty, Raj, Adam Looney, and Kory Kroft. “Salience and Taxation: Theory andEvidence.” The American Economic Review 99.4 (2009): 1145-1177.(web)

Doyle Jr, Joseph J., and Krislert Samphantharak “$2.00 Gas! Studying the effects ofa gas tax mobratorium.” Journal of Public Economics 92.3 (2008): 869-884.(web)

Piketty, Thomas, Emmanuel Saez, and Gabriel Zucman, “Distributional NationalAccounts: Methods and Estimates for the United States”, NBER Working PaperNo. 22945, 2016. (web)

Ramsey, Frank P. “A Contribution to the Theory of Taxation.” The Economic Journal37.145 (1927): 47-61.(web)

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Page 50: Lecture 3: Tax Incidence and Efficiency Costs of Taxation · TAX INCIDENCE Tax incidence is the study of the effects of tax policies on prices and the welfare of individuals What

Summers, Lawrence H. “Some simple economics of mandated benefits.” TheAmerican Economic Review 79.2 (1989): 177-183.(web)

US Congressional Budget Office, 2016. “The Distribution of Household Income andFederal Taxes, 2013” (web)

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