tax incidence webinar slides
TRANSCRIPT
Institute of Chartered Accountants of
PakistanWebinar Series
Tax Incidence and Tax PolicyPresented by: William P. Kittredge,
PhD
Key Learning Objectives
Understand the difference between the legislative, or statutory, incidence of a tax and the actual tax incidence.
Gain insight into the economic impacts and economic development effects of various tax schemes.
Survey the three rules of tax incidence, general equilibrium tax incidence and review the empirical evidence related to tax incidence.
Understand why the statutory burden of a tax does not describe who really bears the tax and why this may be important to government officials and corporate officers.
Introduction A central question of tax incidence is
who bears the burden of a tax? Tax incidence is assessing which party
(consumers or producers) bear the true burden of a tax. When New Jersey raised the corporate
income tax, companies claimed that the tax would just hurt their employees, while the governor claimed the tax would affect the wealth owners of the company.
Introduction Although the legal incidence of a tax is
pretty obvious, markets do respond to taxes, so that the ultimate burden is not nearly so clear.
As Figure 1Figure 1 illustrates, the share of taxes paid by corporations has fallen by roughly two-thirds.
Figure 1
In 1960, corporations paid nearly one-quarter of all taxes.
By 2003, corporations paid less than 8 percent of total
taxes.
Introduction Although this change in the share of
taxes paid by corporations may be viewed as unfair, it is important to recall that corporate taxes are paid by the individuals who own, work for, and buy from corporations.
Introduction The goal of this webinar is to examine
the equity implications of taxation. Three rules of tax incidence General equilibrium tax incidence Empirical evidence
THE THREE RULES OF TAX INCIDENCE
There are three basic rules for figuring out who ultimately bears the burden of paying a tax. The statutory burden of a tax does not
describe who really bears the tax. The side of the market on which the tax
is imposed is irrelevant to the distribution of tax burdens.
Parties with inelastic supply or demand bear the burden of a tax.
The three rules of tax incidence: The statutory burden does not describe
who really bears the tax Statutory incidence is the burden of the tax
borne by the party that sends the check to the government. For example, the government could impose a
50¢ per gallon tax on suppliers of gasoline. Economic incidence is the burden of taxation
measured by the change in resources available to any economic agent as a result of taxation. If gas stations raise gasoline prices by 25¢ per
gallon, then consumers are bearing half of the tax.
The three rules of tax incidence: The statutory burden does not describe
who really bears the tax When a tax is imposed on producers, they
will raise prices to some extent to offset this tax burden. Producer tax burden = (pretax price –
posttax price) + tax payments of producers When a tax is imposed on consumers, they
are not willing to pay as much for a good, so prices fall. The tax burden for consumers is: Consumer tax burden = (posttax price –
pretax price) + tax payments of consumers
The three rules of tax incidence: The statutory burden does not describe
who really bears the tax Figure 2Figure 2 illustrates the impact of a 50¢
per gallon tax on suppliers of gasoline.
Price pergallon (P)
P1 = $1.50
Quantity in billionsof gallons (Q)
Q1 = 100
A
D
S1
(a) (b)
A
D
S1
S2
CP2 = $1.80
Q2 = 90
$0.50
$2.00
Consumer burden = $0.30
Supplier burden = $0.20
Price pergallon (P)
Quantity in billionsof gallons (Q)
B
P1 = $1.50
Figure 2
Initially, equilibrium entails a price of $1.50 and a quantity of
100 units.
A 50 cent tax shifts the effective
supply curve.
The burden of the tax is split between
consumers and producers
The three rules of tax incidence: The statutory burden does not describe
who really bears the tax The initial market equilibrium is 100
billion gallons sold at $1.50 per gallon. The 50¢ tax raises the marginal costs of
production for the firm, shifting the supply curve up to S2.
At the original market price, there is now excess demand of 20 billion gallons; the price is bid up to $1.80, where there is neither a shortage nor a surplus.
The three rules of tax incidence: The statutory burden does not describe
who really bears the tax The gasoline tax has two effects:
It changes the market price Producers must now pay a tax to the government
Recall that Consumer tax burden = (posttax price – pretax
price) + tax payments of consumers Consumer tax burden = ($1.80 - $1.50) + 0 =
30¢ Producer tax burden = (pretax price – posttax
price) + tax payments of producers Producer tax burden = ($1.50 - $1.80) + $0.50 =
20¢
The three rules of tax incidence: The statutory burden does not describe
who really bears the tax This analysis reveals that the true burden
on producers is not 50¢, but some smaller number, because part of the burden is borne by consumers in the form of a higher price.
The tax wedge is the difference between what consumers pay and what producers receive from a transaction. The wedge in this case is the difference
between the $1.80 consumers pay and the $1.30 producers receive.
The three rules of tax incidence: The statutory burden does not describe
who really bears the tax The second question to examine is
whether imposing the tax on the consumers, rather than producers, will change the analysis.
Figure 3Figure 3 illustrates the impact of a 50¢ per gallon tax on demanders of gasoline.
P2 = $1.30
P1 = $1.50
Q1 = 100Q2 = 90
D1
S
D2
$1.00$0.50
A
B
CSupplier burden
Consumer burden
Price pergallon (P)
Quantity in billionsof gallons (Q)
Figure 3
Imagine imposing the tax on
demanders rather than suppliers.
The new equilibrium price is $1.30, and the
quantity is 90.
The quantity is identical to the
case when the tax was imposed on
the supplier.
The economic burden of the tax is identical to the previous case.
The three rules of tax incidence: The statutory burden does not describe
who really bears the tax The initial market equilibrium is 100 billion
gallons sold at $1.50 per gallon. Although the overall willingness to pay for a
unit of gasoline is unchanged, the 50¢ tax lowers the consumers’ willingness to pay producers by 50¢ (since consumers must pay the government). Thus, the demand curve shifts to D2.
At the original market price, there is now excess supply of gasoline; producers lower their price until $1.30, where there is neither a shortage nor a surplus.
The three rules of tax incidence: The statutory burden does not describe
who really bears the tax As before, the new gasoline tax has two effects:
It changes the market price Consumers must now pay a tax to the
government Consumer tax burden = (posttax price – pretax
price) + tax payments of consumers Consumer tax burden = ($1.30 - $1.50) + $0.50
= 30¢ Producer tax burden = (pretax price – posttax
price) + tax payments of producers Producer tax burden = ($1.50 - $1.30) + 0 = 20¢
The three rules of tax incidence: The side of the market on which the tax is
imposed is irrelevant Note that these tax burdens are
identical to the burdens when the tax was levied on producers.
This illustrates an important lesson – the side on which the tax is imposed is irrelevant for the distribution of tax burdens.
The three rules of tax incidence: The side of the market on which the tax is
imposed is irrelevant While there is only one market price
when a tax is imposed, there are two different prices that economists track.
The gross price is the price in the market.
The after-tax price is the gross price minus the amount of the tax (if producers pay the tax) or plus the amount of the tax (if consumers pay the tax).
The three rules of tax incidence: Inelastic versus elastic supply and
demand The third question to examine is how
the tax burden varies with the elasticities of supply and demand.
In all cases, elastic parties avoid taxes and inelastic parties bear them.
Consider Figure 4Figure 4, with perfectly inelastic demand for gasoline.
P2 = $2.00
P1 = $1.50
Q1 = 100
DS1
S2
$0.50
Quantity in billionsof gallons (Q)
Price pergallon (P)
Consumer burden
Figure 4
With perfectly inelastic demand, consumers bear the full burden.
The three rules of tax incidence: Inelastic versus elastic supply and
demand The new equilibrium market price is $2.00,
a full 50¢ higher than the original price. Consumer tax burden = (posttax price –
pretax price) + tax payments of consumers Consumer tax burden = ($2.00 - $1.50) + 0
= 50¢ Producer tax burden = (pretax price –
posttax price) + tax payments of producers Producer tax burden = ($1.50 - $2.00) +
50¢ = 0
The three rules of tax incidence: Inelastic versus elastic supply and
demand Note that even though the tax was
legally imposed on the producer, the full burden of the tax is borne by the consumer.
Full shifting is when one party in a transaction bears all of the tax burden. With perfectly inelastic demand,
consumers bear all of the tax burden.
The three rules of tax incidence: Inelastic versus elastic supply and
demand Now consider Figure 5Figure 5, with perfectly
elastic demand for gasoline.
P1 = $1.50
Q1 = 100Q2 = 90
D
S1S2
$0.50
Price pergallon (P)
Quantity in billionsof gallons (Q)
$1.00
Supplier burden
Figure 5
With perfectly elastic demand, producers bear the full burden.
The three rules of tax incidence: Inelastic versus elastic supply and
demand The new equilibrium market price is $1.50,
the same as the original price. Consumer tax burden = (posttax price –
pretax price) + tax payments of consumers Consumer tax burden = ($1.50 - $1.50) + 0
= 0 Producer tax burden = (pretax price –
posttax price) + tax payments of producers Producer tax burden = ($1.50 - $1.50) +
50¢ = 50¢
The three rules of tax incidence: Inelastic versus elastic supply and
demand In this case, the producer bears the full burden of
the tax, because consumers will simply stop purchasing the product if prices are raised.
These extreme cases illustrate a general point: Parties with inelastic supply or demand bear taxes;
parties with elastic supply or demand avoid them. Demand is more elastic when there are many good
substitutes (for example, fast food at restaurants). Demand is less elastic when there are few substitutes (for example, insulin medication).
Supply is more elastic when suppliers have more alternative uses to which their resources can be put.
The three rules of tax incidence: Inelastic versus elastic supply and
demand Figure 6Figure 6 illustrates these cases –
holding demand constant, more inelastic supply leads to a greater tax burden on producers.
D
P
Q
S1
S2
(a) Tax on steel producer
Q1Q2
P1
P2
D
P
Q
S1
S2
(b) Tax on street vendor
Q1Q2
P1
P2
A
B
A
B
Tax
TaxConsumer burden Consumer burden
Figure 6 More inelastic supply, smaller consumer burden.More elastic supply, larger
consumer burden.
The three rules of tax incidence: Inelastic versus elastic supply and
demand As illustrated in Figure 6aFigure 6a, when a tax
is levied on an inelastic supplier – the steel firm that is committed to a level of production by its fixed capital investment – the consumer pays very little of the tax, and the producer almost all of it.
In the second panel, with elastic supply, the consumer bears almost all of the tax.
The three rules of tax incidence: Tax incidence is about prices, not quantities
Finally, it is important to note that even though quantities change dramatically with perfectly elastic demand, the focus of tax incidence is on prices, not quantities.
We ignore quantities because at both the old and new equilibria, consumers are indifferent between buying the taxed good and spending the money elsewhere.
TAX INCIDENCE EXTENSIONS
We extend the analysis by examining: Factors of production Imperfectly competitive markets Accounting for the expenditure side
Tax incidence extensionsTax incidence in factor
markets Many taxes are levied on the factors of
production, such as labor. Consider the labor market illustrated in
Figure 7aFigure 7a, before and after a tax on workers (the suppliers of labor) is imposed.
Hours oflabor (H)
Wage (W)
S1
D1
A
H1
W1=$5.15
S2
BW2=$5.65
W3=$4.65C
Firmburden
Workerburden
H2
Tax
Figure 7a Tax on workers
A tax on workers (the “suppliers” of labor), lowers wages.
Tax incidence extensionsTax incidence in factor
markets The $1 per hour tax lowers the return
to work at every amount of labor. Thus, individuals require a $1 rise in
their wages to supply any amount of labor, and the supply curve shifts upward.
With labor demand unchanged, the new equilibrium wage is $5.65. In this case, the tax is borne equally by workers and firms.
Tax incidence extensionsTax incidence in factor
markets Now consider the labor market
illustrated in Figure 7bFigure 7b, where a tax on firms (the demanders of labor) is imposed.
Hours oflabor (H)
Wage (W)
S1
D1
A
H1
W1=$5.15
BW2=$5.65
W3=$4.65C
Firmburden
Workerburden
H2
Tax
D2
Figure 7b Tax on firms
A tax on firms (the “demanders” of labor), also lowers wages.
Tax incidence extensionsTax incidence in factor
markets With the tax on firms, the demand curve shifts
downward to D2, and market wages fall to $4.65. The firm pays workers 50¢ less than the original
$5.15, but must send $1 to the government. In effect, they are paying a wage of $5.65.
As in output markets, the tax incidence of a payroll tax shows that it makes no difference on which side of the market it is levied, and the economic burden can differ from the statutory burden.
Tax incidence extensionsTax incidence in factor
markets This analysis will not be correct if there
are impediments to wage adjustments, however.
The minimum wage is a legally mandated minimum amount that workers must be paid for each hour of work. The current US federal minimum wage
is $10.10 per hour.
Tax incidence extensionsTax incidence in factor
markets With a minimum wage, wages cannot
fully adjust, so the incidence will be different.
Consider, first, Figure 8aFigure 8a, which imposes the tax on workers.
Hours oflabor (H)
Wage (W)
S1
D1
A
H1
Wm=$5.15
S2
BW2=$5.65
W3=$4.65C
H2
Firmburden
Workerburden
Tax
Figure 8a Tax on workers
A binding minimum wage changes the analysis, however.
When imposed on employees, the
analysis is similar to before.
Tax incidence extensionsTax incidence in factor
markets With a tax on workers, the labor supply
curve shifts upward as before. Workers are paid $10.10 per hour, but are forced to pay $1 of that to the government for taxes.
The incidence is borne in the same manner as when there was no minimum wage.
Tax incidence extensionsTax incidence in factor
markets Now consider, Figure 8bFigure 8b, which
imposes the tax on firms.
Hours oflabor (H)
Wage (W)
S1
D1
AWm=$10.10
BW2=$11.10
D2
$9.60
C’
H2H3
Tax
H1
C
Firmburden
Figure 8b Tax on firms
When imposed on employers, the
incidence differs!
Employers cannot fully wage shift with
the binding minimum wage.
With fully shifting wages, would end
up at C.
Without wage shifting, would end
up at C’.
In this case, the firm bears the economic
burden.
Tax incidence extensionsTax incidence in factor
markets With a tax on firms, the labor demand curve
shifts downward. Without wage impediments, the market wage would fall from $10.10 to $9.60, and the firm would also pay $1 to the government. Hours of work would be H2.
With the minimum wage, wages cannot adjust downward, so the firm instead demands H3<H2 hours of labor, pays $10.10 per hour, and also pays $1 to the government. The economic burden of the tax falls on the firm.
Tax incidence extensionsTax incidence in factor
markets When there are barriers to reaching the
competitive market equilibrium, the side of the market on which the tax is levied can matter. Minimum wages Workplace norms Union rules
There are more frequent in input markets than output markets.
Tax incidence extensionsTax incidence in imperfectly
competitive markets The analysis has so far focused on
competitive markets. Monopoly markets are markets in
which there is only one supplier of a good. Monopolists are price makers, not price
takers – this includes government enterprises.
Figure 9aFigure 9a shows the determination of equilibrium in monopoly markets.
P
Q
P1
P*
Q1
D1
S
MR1
A
A’
Figure 9a Monopolist
Monopolist sets MR=MC, chooses
quantity Q1.
Tax incidence extensionsTax incidence in imperfectly
competitive markets Unlike a perfect competitor, the
monopolist faces a downward sloping marginal revenue curve, because it must lower its price on all units to sell another unit.
The marginal revenue curve, MR1, is therefore everywhere below the demand curve. Setting MR1=MC, the quantity Q1 initially maximizes profits.
Now consider a tax on consumers, illustrated in Figure 9bFigure 9b.
P
Q
P1
Q1
D2
S
MR2
B
Q2
P2
D1
S
MR1
A
B’
Figure 9b Tax on consumers
With a tax, both D and MR change, as does the quantity.
Tax incidence extensionsTax incidence in imperfectly
competitive markets The tax on consumers shifts the demand
curve downward to D2, and the associated marginal revenue curve to MR2.
Setting MR2=MC, the quantity Q2 now maximizes profits.
The monopolist’s price falls from P1 to P2, so it bears some of the tax, just as a competitive firm does.
The three rules of tax incidence continue to apply for a monopolist.
Tax incidence extensionsTax incidence in imperfectly
competitive markets Most markets fall somewhere between
perfect competition and monopoly. Oligopoly markets are markets in which
firms have some market power in setting prices, but not as much as a monopolist. There is less consensus on how to model
these markets. Economists tend to assume the tax
incidence results apply in these markets as well.
Tax incidence extensionsBalanced budget tax incidence One final extension asks how the money
that is raised will be spent. Balanced budget incidence is tax
incidence analysis that account for both the tax and the benefits it brings. It is inconvenient, however, to worry
about both the taxation and expenditure side at the same time.
GENERAL EQUILIBRIUM TAX INCIDENCE
Our models so far have focused on partial equilibrium. Partial equilibrium tax incidence is
analysis that considers the impact of a tax on a market in isolation.
To study the effects on related markets, we use general equilibrium analysis. General equilibrium tax incidence is
analysis that considers the effects on related markets of a tax imposed on one market.
General equilibrium tax incidence
Effects of a restaurant tax Consider the demand for restaurant
meals in a single town, as illustrated in Figure 10Figure 10.
The demand for such meals is likely to be highly elastic.
P1 = $20
Q1 = 1000Q2 = 950
D
S1S2
$1
Price permeal (P)
Meals soldper day (Q)
B A
Figure 10
In this case demand for meals is perfectly
elastic.
General equilibrium tax incidence
Effects of a restaurant tax In such a case, a $1 tax on firms shifts the
supply curve, and the firm bears the full burden of the tax.
But in reality, firms are not self-functioning entities, but are a technology for combining capital and labor to produce an output. With a restaurant, capital is best viewed as
financial capital – the money that buys physical capital inputs like the building, the ovens, tables, etc.
General equilibrium tax incidence
Effects of a restaurant tax The $1 tax on meals is borne by the
firm, meaning that it is borne by the factors of production (labor and capital).
We move back to the input market in Figure 11Figure 11.
Wage (W)
Hours of labor (H)
Rate ofreturn (r)
Investment (I)
(a) Labor (b) Capital
W1 = $8
D1D2
H1 = 1,000H2 = 900
SAB
S
D1
D2
I1 = $50 million
r1 = 10%
r2 = 8%
A
B
Figure 11The incidence is
“shifted backward” to labor and capital.
We assume the supply of labor in the locality is perfectly
elastic.
Labor therefore does not bear any of
the tax burden.
Capital is inelastically
supplied.
Capital bears the
tax.
General equilibrium tax incidenceIssues to consider in GE incidence
analysis As illustrated, the supply of labor (restaurant
workers) is perfectly elastic, because those workers can easily find a job in another locality.
The tax on output, restaurant meals, would reduce the firm’s demand for labor, reducing the number of workers hired, but not their wage rate.
On the other hand, in the short-run, the supply of capital is likely to be fixed. The firm’s demand for capital shifts in, lowering the rate of return on capital. In the short run, the owners of capital bear the tax
in the form of a lower return on their investment.
General equilibrium tax incidenceIssues to consider in GE incidence
analysis In the longer-run, the supply of capital
is not inelastic. Investors can close or sell the
restaurant, take their money, and invest it elsewhere.
In the long-run, capital is likely to be perfectly elastic as there are many good substitutes for investing in a particular restaurant in a particular town.
General equilibrium tax incidenceIssues to consider in GE incidence
analysis If both labor and capital are highly elastic
in the long run, who bears the tax? The one additional inelastic factor in the
restaurant production process is land. The supply is clearly fixed. When both labor and capital can avoid the
tax, the only way restaurants can stay open is if they pay a lower rent on their land.
General equilibrium tax incidenceIssues to consider in GE incidence
analysis The scope of a tax matters for tax incidence as well.
Consider imposing a restaurant tax on the entire state rather than just a city.
Demand in the output market is less elastic; consumers bear some of the burden.
Labor supply is less elastic as well. The scope of the tax matters to incidence analysis
because it determines which elasticities are relevant to the analysis: taxes that are broader based are harder to avoid than taxes that are narrower, so the response of producers and consumers to the tax will be smaller and more inelastic.
General equilibrium tax incidenceIssues to consider in GE incidence
analysis There are also potentially spillovers into other
output markets from the restaurant tax, not just input markets.
Consider the statewide restaurant tax that raises the price of meals: It has an income effect for consumers. It increases consumption of goods that are
substitutes for restaurant meals, such as meals at home.
It decreases consumption of goods that are complements for restaurant meals, such as valets.
A complete general equilibrium analysis must account for the effects in these other markets.
THE INCIDENCE OF TAXATION IN THE UNITED STATES
CBO incidence assumptions The Congressional Budget Office (CBO) has
examined the incidence of taxation in the U.S.
The CBO assumes: Income taxes are fully borne by the
households that pay them. Payroll taxes are fully borne by workers,
regardless of the statutory incidence. Excise taxes are fully shifted forward to
prices. Corporate taxes are fully shifted forward to
the owners of capital.
The incidence of taxation in the United States
CBO incidence assumptions These assumptions are generally
consistent with empirical evidence. For example, Poterba (1996) shows full
shifting to prices from increases in the sales tax.
The most questionable assumption relates to the corporate income tax. It is likely that consumers and workers bear some of the tax. The corporate tax will be discussed in detail in Chapter 24.
The incidence of taxation in the United States
Results of CBO incidence analysis Table 1Table 1 shows the effective tax rates
over time, by income quintile. The effective tax rate is taxes paid
relative to total income.
Table 1Effective Tax Rates (in percent)
1979 1985 1990 1995 2001
Total effective tax rateAll households 22.2 20.9 21.5 22.6 21.5Bottom quintile 8.0 9.8 8.9 6.3 5.4Top quintile 27.5 24.0 25.1 27.8 26.8
Effective Income Tax RateAll households 11.0 10.2 10.1 10.2 10.4Bottom quintile 0.0 0.5 -1.0 -4.4 -5.6Top quintile 15.7 14.0 14.4 15.5 16.3
Effective Payroll Tax RateAll households 6.9 7.9 8.4 8.5 8.4Bottom quintile 5.3 6.6 7.3 7.6 8.3Top quintile 5.4 6.5 6.9 7.2 7.1
Effective Corporate Tax RateAll households 3.4 1.8 2.2 2.8 1.8Bottom quintile 1.1 0.6 0.6 0.7 0.3Top quintile 5.7 2.8 3.3 4.4 2.9
Effective Excise Tax RateAll households 1.0 0.9 0.9 1.0 0.9Bottom quintile 1.6 2.2 2.0 2.4 2.4Top quintile 0.7 0.7 0.6 0.7 0.6
Effective tax rates for the poor have fallen over time.
Effective tax rates for the rich have risen since 1985.
The incidence of taxation in the United States
Results of CBO incidence analysis The table shows that effective tax rates for
the poor in the US have fallen since 1985, while the effective rate for the rich have risen.
The distribution of various components of the tax system varies, however. The payroll tax, for example, is regressive.
Effective corporate tax rates are small relative to income and payroll tax rates, and have fallen at both the top and bottom of the income distribution.
The incidence of taxation in the United States
Results of CBO incidence analysis Table 2Table 2 shows the top and bottom
quintile’s share of income and tax liabilities.
Table 2
Top and Bottom Quintile’s Share of Incomeand Tax Liabilities (in percent)
1979 1985 1990 19952001
Top QuintileShare of income 45.5 48.6 49.5 50.2 52.4Share of tax liabilities 56.4 55.8 57.9 61.9 65.3
Bottom QuintileShare of income 5.8 4.8 4.6 4.6 4.2Share of tax liabilities 2.1 2.3 1.9 1.3 1.1
The share of taxes paid by the top
quintile has risen over time.
While that of the poor has always been low, and falling over time.
The incidence of taxation in the United States
Results of CBO incidence analysis The bottom quintile of taxpayers has
always paid a very small share of taxes, and that share has fallen over time.
The top quintile has always paid the majority of taxes, and that share has risen over time. The top 20% earn more than half of all
income, and pay almost two-thirds of the taxes.
The incidence of taxation in the United States
Current versus lifetime income incidence Tax incidence can be based on current or
lifetime income, and the results can differ greatly for some types of taxes.
Current tax incidence is the incidence of a tax in relation to an individual’s current resources.
Lifetime tax incidence is the incidence of a tax in relation to an individual’s lifetime resources.
Recent estimates show that 60% of Americans change income quintiles within a decade.
The incidence of taxation in the United States
Current versus lifetime income incidence This income mobility, and the use of lifetime
incidence, has a number of implications for tax policy. Imagine that there was a tax on college
textbooks. On the surface, this seems extremely regressive using current income, since college students have very low incomes.
On a lifetime basis, however, college graduates have income twice as those who did not attend college. On a lifetime basis, the tax incidence is progressive.
Recap of The Equity Implications of Taxation: Tax
Incidence The Three Rules of Tax Incidence Tax Incidence Extensions General Equilibrium Tax Incidence The Incidence of Taxation in the United
States
References Fullerton, Don & Metcalf, Gilbert E., 2002. "Tax incidence,"
Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 4, chapter 26, pages 1787-1872 Elsevier.
Malik, M. H., & Najam us Saqib. (1989). Tax Incidence by Income Classes in Pakistan. The Pakistan Development Review, 28(1), 13–25. Retrieved from http://www.jstor.org/stable/41259210
Refaqat, S., & International Monetary Fund. (2003). Social incidence of the general sales tax in Pakistan (IMF working paper, WP/03/216; IMF working paper, WP/03/216). Washington, D.C.: International Monetary Fund. http://bibpurl.oclc.org/web/24285/2003/wp03216.pdf http://www.imf.org/external/pubs/ft/wp/2003/wp03216.pdf