Upload
estella-clemence-bishop
View
217
Download
0
Embed Size (px)
DESCRIPTION
©2005 Pearson Education, Inc. Chapter 93 Consumer and Producer Surplus When government controls price, some people are better off. May be able to buy a good at a lower price But, what is the effect on society as a whole? Is total welfare higher or lower and by how much? A way to measure gains and losses from government policies is needed
Citation preview
Chapter 9
The Analysis of Competitive Markets
Chapter 9 2©2005 Pearson Education, Inc.
Topics to be Discussed
Evaluating the Gains and Losses from Government Policies
The Efficiency of a Competitive MarketMinimum Prices Price Supports and Production QuotasImport Quotas and TariffsThe Impact of a Tax or Subsidy
Chapter 9 3©2005 Pearson Education, Inc.
Consumer and Producer Surplus
When government controls price, some people are better off. May be able to buy a good at a lower price
But, what is the effect on society as a whole? Is total welfare higher or lower and by how
much?A way to measure gains and losses from
government policies is needed
Chapter 9 4©2005 Pearson Education, Inc.
Consumer and Producer Surplus
1. Consumer surplus is the total benefit or value that consumers receive beyond what they pay for the good.
Assume market price for a good is $5 Some consumers would be willing to pay
more than $5 for the good If you were willing to pay $9 for the good
and pay $5, you gain $4 in consumer surplus
Chapter 9 5©2005 Pearson Education, Inc.
Consumer and Producer Surplus
The demand curve shows the willingness to pay for all consumers in the market
Consumer surplus can be measured by the area between the demand curve and the market price
Consumer surplus measures the total net benefit to consumers
Chapter 9 6©2005 Pearson Education, Inc.
Consumer and Producer Surplus
2. Producer surplus is the total benefit or revenue that producers receive beyond what it cost to produce a good.
Some producers produce for less than market price and would still produce at a lower price
A producer might be willing to accept $3 for the good but get $5 market price
Producer gains a surplus of $2
Chapter 9 7©2005 Pearson Education, Inc.
Consumer and Producer Surplus
The supply curve shows the amount that a producer is willing to take for a certain amount of a good
Producer surplus can be measured by the area between the supply curve and the market price
Producer surplus measures the total net benefit to producers
Chapter 9 8©2005 Pearson Education, Inc.
Consumer and Producer Surplus
Between 0 and Q0 producers receive
a net gain from selling each product--
producer surplus.
ConsumerSurplus
Quantity
Price
S
D
Q0
5
9
Between 0 and Q0
consumer A receives a net gain from buying
the product-- consumer surplus
ProducerSurplus
3
QD QS
Chapter 9 9©2005 Pearson Education, Inc.
Consumer and Producer Surplus
To determine the welfare effect of a governmental policy we can measure the gain or loss in consumer and producer surplus.
Welfare Effects Gains and losses to producers and
consumers.
Chapter 9 10©2005 Pearson Education, Inc.
Consumer and Producer Surplus
When government institutes a price ceiling, the price of a good can’t to go above that price.
With a binding price ceiling, producers and consumers are affected
How much they are affected can be determined by measuring changes in consumer and producer surplus
Chapter 9 11©2005 Pearson Education, Inc.
Consumer and Producer Surplus
When price is held too low, the quantity demanded increases and quantity supplied decreases
Some consumers are worse off because can no longer buy the good. Decrease in consumer surplus
Some consumers better off because can buy it at a lower price. Increase in consumer surplus
Chapter 9 12©2005 Pearson Education, Inc.
Consumer and Producer Surplus
Producers sell less at a lower priceSome producers are no longer in the
marketBoth of these producer groups lose and
producer surplus decreasesThe economy as a whole is worse off
since surplus that used to belong to producers or consumers is simply gone
Chapter 9 13©2005 Pearson Education, Inc.
The loss to producers is the sum of
rectangle A and triangle C.
B
A C
Consumers that can buy the good gain A
Price Control and Surplus Changes
Quantity
Price
S
D
P0
Q0
Pmax
Q1 Q2
Consumers that cannot buy, lose B
Triangles B and C are losses to society – dead weight loss
Chapter 9 14©2005 Pearson Education, Inc.
Price controls and Welfare Effects
The total loss is equal to area B + C.The deadweight loss is the inefficiency of
the price controls – the total loss in surplus (consumer plus producer)
If demand is sufficiently inelastic, losses to consumers may be fairly large This has greater effects in political decisions
Chapter 9 15©2005 Pearson Education, Inc.
B
APmax
C
Q1
With inelastic demand, triangle B can be larger
than rectangle A and consumers suffer net
losses from price controls.
S
D
Price Controls With Inelastic Demand
Quantity
Price
P0
Q2
Chapter 9 16©2005 Pearson Education, Inc.
Price Controls and Natural Gas Shortages
From example in Chapter 2, 1975 Price controls created a shortage of natural gas.
What was the effect of those controls? Decreases in surplus and overall loss for
society We can measure these welfare effects from
the demand and supply of natural gas
Chapter 9 17©2005 Pearson Education, Inc.
Price Controls and Natural Gas Shortages
QS = 14 + 2PG + 0.25PO Quantity supplied in trillion cubic feet (Tcf)
QD = -5PG + 3.75PO Quantity demanded (Tcf)
PG = price of natural gas in $/mcfPO = price of oil in $/b.
Chapter 9 18©2005 Pearson Education, Inc.
Price Controls and Natural Gas Shortages
Using PO = $8/b and QDG = QSG gives equilibrium values for natural gas PG = $2/mcf and QG = 20 Tcf
Price ceiling was set at $1/mcfShowing this graphically, we can see and
measure the effects on producer and consumer surplus
Chapter 9 19©2005 Pearson Education, Inc.
B
A
C
The gain to consumers is rectangle A minus triangle
B, and the loss to producers is rectangle A
plus triangle C.
SD
2.00
2.40
Price($/mcf)
Quantity (Tcf)0 5 10 15 20 25 3018
(Pmax)1.00
Price Controls and Natural Gas Shortages
Chapter 9 20©2005 Pearson Education, Inc.
Price Controls and Natural Gas Shortages
Measuring the Impact of Price Controls A = (18 billion mcf) x ($1/mcf) =
$18 billion B = (1/2) x (2 b. mcf) x ($0.40/mcf) =
$0.4 billion C = (1/2) x (2 b. mcf) x ($1/mcf) =
$1 billion
Chapter 9 21©2005 Pearson Education, Inc.
Price Controls and Natural Gas Shortages
Measuring the Impact of Price Controls in 1975 Change in consumer surplus
= A - B = 18 - 0.4 = $17.6 billion Gain Change in producer surplus
= A + C = 18 + 1 = $19.0 billion Loss Dead Weight Loss
= B + C = 0.4 + 1 = $1.4 billion Loss
Chapter 9 22©2005 Pearson Education, Inc.
The Efficiency ofa Competitive Market
In the evaluation of markets, we often talk about whether it reaches economic efficiency Maximization of aggregate consumer and
producer surplusPolicies such as price controls that cause
dead weight losses in society are said to impose an efficiency cost on the economy
Chapter 9 23©2005 Pearson Education, Inc.
The Efficiency ofa Competitive Market
If efficiency is the goal, then you can argue leaving markets alone is the answer
However, sometimes market failures occur Prices fail to provide proper signals to
consumers and producers Leads to inefficient unregulated competitive
market
Chapter 9 24©2005 Pearson Education, Inc.
Types of Market Failures
1. Externalities Costs or benefits that do not show up as
part of the market price (e.g. pollution) Costs or benefits are external to the market
2. Lack of Information Imperfect information prevents consumers
from making utility-maximizing decisions. Government intervention may be
desirable in these cases
Chapter 9 25©2005 Pearson Education, Inc.
The Efficiency of a Competitive Market
Other than market failures, unregulated competitive markets lead to economic efficiency
What if the market is constrained to a price higher than the economically efficient equilibrium price?
Chapter 9 26©2005 Pearson Education, Inc.
BA
C
Price Control and Surplus Changes
Quantity
Price
S
D
P0
Q0
Pmin
Q1 Q2
When price is regulated to be no lower than Pmin, the
deadweight loss given by triangles B and C
results.
Chapter 9 27©2005 Pearson Education, Inc.
The Efficiency of a Competitive Market
Deadweight loss triangles, B and C, give a good estimate of efficiency cost of policies that force price above or below market clearing price.
Measuring effects of government price controls on the economy can be estimated by measuring these two triangles
Chapter 9 28©2005 Pearson Education, Inc.
The Market for Human Kidneys
The 1984 National Organ Transplantation Act prohibits the sale of organs for transplantation.
What has been the impact of the Act?We can measure this using the supply
and demand for kidneys from estimated data. Supply: QS = 8,000 + 0.2P Demand: QD = 16,000 - 0.2P
Chapter 9 29©2005 Pearson Education, Inc.
The Market for Human Kidneys
Since sale of organs is not allowed, the amount available depends on the amount donated Supply of donated kidneys is limited to 8000
The welfare effect of this supply constraint can be analyzed using consumer and producer surplus in the kidney market
Chapter 9 30©2005 Pearson Education, Inc.
The Market for Human Kidneys
Suppliers: Those who supply them are not paid the
market price estimated at $20,000Loss of surplus equal to area A = $160 million
Some who would donate for the equilibrium price do not in the current market
Loss of surplus equal to area C = $40 million Total consumer loss of A + C = $200 million
Chapter 9 31©2005 Pearson Education, Inc.
The Market for Human Kidneys
Recipients: Since they do not have to pay for the kidney,
they gain rectangle A ($140 million) since price is $0
Those who cannot obtain a kidney lose surplus equal to triangle B ($40 million)
Net increase in surplus of recipients of $160 - $40 = $120 million
Dead Weight Loss of C + B = $80 million
Chapter 9 32©2005 Pearson Education, Inc.
The Market for Human Kidneys
Other Inefficiency Cost Allocation is not necessarily to those who
value the kidney’s the most. Price may increase to $40,000, the
equilibrium price, with hospitals getting the price.
Chapter 9 33©2005 Pearson Education, Inc.
D
A and D measure the total value of
kidneys when supply is constrained.
A
C
The loss to suppliersIs areas A & C.
The Market for Kidneys
Quantity
Price
4,0000
$10,000
$30,000
$40,000
8,000
S’
B
If kidneys are zero cost, consumer gain would be A minus B.
S
D
12,000
$20,000
Chapter 9 34©2005 Pearson Education, Inc.
The Market for Human Kidneys
Arguments in favor of prohibiting the sale of organs:
1. Imperfect information about donor’s health and screening
2. Unfair to allocate according to the ability to pay Holding price below equilibrium will create
shortages Organs versus artificial substitutes
Chapter 9 35©2005 Pearson Education, Inc.
Minimum Prices
Periodically government policy seeks to raise prices above market-clearing levels. Minimum wage law Regulation of airlines Agricultural policies
We will investigate this by looking at the minimum wage legislation
Chapter 9 36©2005 Pearson Education, Inc.
Minimum Prices
When price is set above the market clearing price, Quantity demanded falls Suppliers may, however, choose to increase
quantity supplied in face of higher prices
This causes additional producer losses equal to the total cost of production above quantity demanded
Chapter 9 37©2005 Pearson Education, Inc.
Minimum Prices
Loses in consumer surplus are still the same Increased price leading to decreased
quantity equals area A Those priced out of the market lose area B
Producer surplus similar Increases from increased price for units sold
equal to A Losses from drop in sales equal to C
Chapter 9 38©2005 Pearson Education, Inc.
Minimum Prices
What if producers expand production to Q2 from the increased price Since they only sell Q3, there is no revenue
to cover the additional production (Q2-Q3) Supply curve measures MC of production so
total cost of additional production is area under the supply curve for the increased production (Q2-Q3) = area D
Total change in producer surplus = A – C – D
Chapter 9 39©2005 Pearson Education, Inc.
BA
The change in producersurplus will be
A - C - D. Producersmay be worse off.
C
D
Minimum Prices
Quantity
Price
S
D
P0
Q0Q3 Q2
Pmin
If producers produce Q2, the amount Q2 - Q3
will go unsold.
D measures total cost of increased production not sold
Chapter 9 40©2005 Pearson Education, Inc.
Minimum Wages
Wage is set higher than market clearing wage
Decreased quantity of workers demanded
Those workers hired receive higher wages
Unemployment results since not everyone who wants to work at the new wage can
Chapter 9 41©2005 Pearson Education, Inc.
B
The deadweight lossis given by
triangles B and C.
C
A
L1 L2
Unemployment
wmin
Firms are not allowed topay less than wmin. This
results in unemployment.S
D
w0
L0
The Minimum Wage
L
w
A is gain to workers who find jobs at higher wage
Chapter 9 42©2005 Pearson Education, Inc.
Airline Regulation
Before 1970, airline industry was heavily regulated by the Civil Aeronautics Board (CAB)
During 1976-1981 the airline industry in the U.S. changed dramatically as deregulation lead to major changes.
Some airlines merged or went out of business as new airlines entered the industry.
Chapter 9 43©2005 Pearson Education, Inc.
Airline Regulation
Although price in the industry fell considerable (helping consumers), profits did not. Regulation caused significant inefficiencies
and artificially high costsWe can show the effects of this
regulation by looking at the effects on surplus from the controlled prices
Chapter 9 44©2005 Pearson Education, Inc.
BA
C
After deregulation:Prices fell to PO. Thechange in consumer
surplus is A + B.
Q3
D
Area D is the costof unsold output.
Effect of Airline Regulation
Quantity
Price S
D
P0
Q0Q1
Pmin
Q2
Prior to deregulationprice was at Pmin.
Production was Q3 hoping to outsell
competitors
Chapter 9 45©2005 Pearson Education, Inc.
Airline Industry Data
Chapter 9 46©2005 Pearson Education, Inc.
Airline Industry Data
Airline industry data show:1. Long-run adjustment as the number of
carriers increased and prices decreased2. Higher load factors indicating more
efficiency 3. Falling rates4. Real cost increased slightly (adjusted fuel
cost)5. Large welfare gain
Chapter 9 47©2005 Pearson Education, Inc.
Price Supports
Much of agricultural policy is based on a system of price supports. Price set by government above free-market
level and maintained by governmental purchases of excess supply
Government can also increase prices through restricting production, directly or through incentives to producers
Chapter 9 48©2005 Pearson Education, Inc.
Price Supports
What are the impacts on consumers, producers and the federal budget?
Consumers Quantity demanded falls and quantity
supplied increases Government buys surplus Consumers must pay higher price for the
good Loss in consumer surplus equal to A+B
Chapter 9 49©2005 Pearson Education, Inc.
Price Supports
Producers Gain since they are selling more at a higher
price Producer surplus increases by A+B+D
Government Cost of buying the surplus which is funded by
taxes so indirect cost on consumers Cost to government = (Q2-Q1)PS
Chapter 9 50©2005 Pearson Education, Inc.
Price Supports
Government may be able to “dump” some of the goods in the foreign markets Hurts domestic producers that government is trying to
help in the first placeTotal welfare effect of policy
CS + PS – Govt. cost = D – (Q2-Q1)PS
Society is worse off over allLess costly to simply give farmers the money
Chapter 9 51©2005 Pearson Education, Inc.
BD
A
To maintain a price Ps
the government buys quantity Qg .
D + Qg
Qg
Price Supports
Quantity
PriceS
D
P0
Q0
Ps
Q2Q1
E
Net Loss to society is E + B
Chapter 9 52©2005 Pearson Education, Inc.
Production Quotas
The government can also cause the price of a good to rise by reducing supply. Limitations of taxi medallions in New York
City Limitation of required liquor licenses for
restaurants
Chapter 9 53©2005 Pearson Education, Inc.
BA
•CS reduced by A + B•Change in PS = A - C•Deadweight loss = BC
C
Supply Restrictions
Quantity
Price
D
P0
Q0
S
S’
PS
Q1
•Supply restricted to Q1
•Supply shifts to S’ @ Q1
Chapter 9 54©2005 Pearson Education, Inc.
Supply Restrictions
Incentive Programs US agricultural policy uses production
incentives instead of direct quotas Government gives farmers financial
incentives to restrict supplyAcreage limitation programs
Quantity decreases and price increases for the crop
Chapter 9 55©2005 Pearson Education, Inc.
Supply Restrictions
Incentive Program Gain in PS of A from increased price of
amount sold Loss of PS of C from decreased production Government pays farmers not to produce Total PS = A – C + payments from Govt. Government must pay enough to keep
producers from producing more at the higher price
Equals B+C+D
Chapter 9 56©2005 Pearson Education, Inc.
BA
•CS reduced by A + B
C
Supply Restrictions
Quantity
Price
D
P0
Q0
S
S’
Q1
Cost to government = B + C + D= additional profit made if producing Q0 at PS
PS
D
•Change in PS = A + B + D
Chapter 9 57©2005 Pearson Education, Inc.
Supply Restrictions
Which program is more costly? Both programs have same loss to consumers Producers are indifferent between programs
because end up with same amount in both Typically acreage limitation program costs
society less than price supports maintained by government purchases
However, society better off if government would just give farmers cash
Chapter 9 58©2005 Pearson Education, Inc.
Supporting the Price of Wheat
From previous example, the supply and demand for wheat in 1981 was Supply: Qs = 1,800 + 240P Demand: QD = 3,550 - 266P Equilibrium price and quantity was $3.46 and
2,630 million bushelsGovernment raised the price to $3.70
through government purchases
Chapter 9 59©2005 Pearson Education, Inc.
Supporting the Price of Wheat
How much would the government had to buy to keep price at $3.70 QDTotal = QD + QG = 3,550 -266P + QG
QS = QDT
1,800 + 240P = 3,550 - 266P + QG
QG = 506P -1,750At a price of $3.70, government would buyQG = (506)(3.70) -175=122 million bushels
Chapter 9 60©2005 Pearson Education, Inc.
D + Qg
By buying 122million bushels the governmentincreased the
market-clearing price.
2,688
A B C
Qg
P0 = $3.70
•AB consumer loss•ABC producer gain S
D
P0 = $3.46
2,6301,800
The Wheat Market in 1981
Quantity
Price
2,566
Chapter 9 61©2005 Pearson Education, Inc.
Supporting the Price of Wheat
We can quantify the effects on CS The change in consumer surplus = (-A -B)
A = (3.70 - 3.46)(2,566) = $616 millionB = (1/2)(3.70-3.46)(2,630-2,566) = $8 million
CS = -$624 million.
Chapter 9 62©2005 Pearson Education, Inc.
Supporting the Price of Wheat
Cost to the government: $3.70 x 122 million bushels = $451.4 million Total cost of program = $624 + 451 = $1,075
millionGain to producers
A + B + C = $638 million Government also paid 30 cents/bushel =
$806 million
Chapter 9 63©2005 Pearson Education, Inc.
Supporting the Price of Wheat
In 1985, the situation became worse Export demand fell and the market clearing
price of wheat fell to $1.80/bushel. Equilibrium quantity was 2231 The actual price, however, was $3.20 To keep price at $3.20, the government had
to purchase excess wheat Government also imposed a production
quota of about 2425 million bushels
Chapter 9 64©2005 Pearson Education, Inc.
Supporting the Price of Wheat
1985 Government Purchase: 2,425 = 2,580 - 194P + QG QG = -155 + 194P P = $3.20 -- the support price QG = -155 + 194($3.20) = 466 million
bushels
Chapter 9 65©2005 Pearson Education, Inc.
The Wheat Market in 1985Price
Quantity1,800
S
D
P0 = $1.80
2,232
To increase theprice to $3.20, the
government bought 466 million bushels
and imposeda production quotaof 2,425 bushels.
D + QS
1,959
S’
2,425
P0 = $3.20
QS
Chapter 9 66©2005 Pearson Education, Inc.
Supporting the Price of Wheat
1985 Government Cost: Purchase of Wheat = $3.20 x 466 = $1,491
million 80 cent subsidy = .80 x 2,425 = $1,940
million Total government program cost = $3.5 billion
Chapter 9 67©2005 Pearson Education, Inc.
Supporting the Price of Wheat
1996 Congress passed the Freedom to Farm law Goal was to reduce the role of government
and make agriculture more market oriented Eliminated production quotas, gradually
reduced government purchases and subsidies through 2003.
Chapter 9 68©2005 Pearson Education, Inc.
Supporting the Price of Wheat
In 2002 Congress and Pres. Bush reversed the effects of the 1996 bill reinstating subsidies for most crops. Calls for “fixed direct payments” New bill would cost taxpayers almost $1.1
billion in annual payments to wheat producers alone
2002 farm bill expected to cost taxpayers $190 billion over 10 years
Estimated $83 billion over existing programs
Chapter 9 69©2005 Pearson Education, Inc.
Import Quotas and Tariffs
Many countries use import quotas and tariffs to keep the domestic price of a product above world levels Import quotas: Limit on the quantity of a
good that can be imported Tariff: Tax on an imported good
This allows domestic producers to enjoy higher profits
Costs to consumers is high
Chapter 9 70©2005 Pearson Education, Inc.
Import Quotas and Tariffs
With lower world price, domestic consumers have incentive to purchase from abroad. Domestic price falls to world price and
imports equal difference between quantity supplied and quantity demanded
Domestic industry might convince government to protect industry by eliminating imports Quota of zero or high tariff
Chapter 9 71©2005 Pearson Education, Inc.
QS QD
PW
A B C
Quota of zero pushes domestic price to P0 and
imports go to zero.
Import Tariff To Eliminate Imports
Quantity
Price
Q0
D
P0
S
In a free market, the domestic price equals the
world price PW.
Imports
Loss to consumers is A+B+C.
Gain to producers is A.Dead weight loss: B +C.
Chapter 9 72©2005 Pearson Education, Inc.
Import Tariff (general case) The increase in price can
be achieved by a tariff. QS increases and QD
decreases Area A is the gain to
domestic producers. The loss to consumers is
A + B + C + D. DWL = B + C Government Revenue is D
= tariff * imports
DCB
QS QDQ’S Q’D
AP*
Pw
Q
P
D
S
Chapter 9 73©2005 Pearson Education, Inc.
Import Quota (general case)
If a quota is used, rectangle D becomes part of the profits to foreign producers
Consumers lose A+B+C+D
Producers gain ANet domestic loss is
B + C + D.
DCB
QS QDQ’S Q’D
AP*
Pw
Q
P
D
S
Chapter 9 74©2005 Pearson Education, Inc.
The Sugar Quota Example
The world price of sugar has been as low as 4 cents per pound, while in the U.S. the price has been 20-25 cents per pound.
Sugar quotas have protected the sugar industry but driven up prices
Domestic producers have been better off and so have some foreign producers that have quota rights
Consumers are worse off
Chapter 9 75©2005 Pearson Education, Inc.
The Sugar Quota Example
The Impact of a Sugar Quota in 2001 U.S. production = 17.4 billion pounds U.S. consumption = 20.4 billion pounds U.S. price = 21.5 cents/pound World price = 8.3 cents/pound Price elasticity of US supply = 1.5 Price elasticity of Us demand is –0.3
Chapter 9 76©2005 Pearson Education, Inc.
Impact of Sugar Quota
The data can be used to fit the US supply and demand curves QS = -8.70+ 1.21P QD = 26.53 - 0.29P World price was 24.2 million pounds leading
to little domestic supply and most domestic consumption coming from large imports
Government restricted imports to 3 billion pounds raising price to 21.5 cents/pound
Chapter 9 77©2005 Pearson Education, Inc.
Sugar Quota in 1997
C
D
B
A The cost of the quotasto consumers was
A + B + C + D = $2.4b. The gain to producers
was area A = $1b.
SUS DUSPrice(cents/lb.)
4
8
11
16
20
PW = 8.3 before quota
PUS = 21.5 after quota
Quantity(billions of pounds)24.21.4 17.4 20.4
Chapter 9 78©2005 Pearson Education, Inc.
The Impact of a Tax or Subsidy
The government wants to impose a $1.00 tax on movies. It can do it two ways Make the producers pay $1.00 for each
movie ticket they sell Make consumers pay $1.00 when they buy
each movieIn which option are consumers paying
more?
Chapter 9 79©2005 Pearson Education, Inc.
The Impact of a Tax or Subsidy
The burden of a tax (or the benefit of a subsidy) falls partly on the consumer and partly on the producer.
How the burden is split between the parties depends on the relative elasticities of demand and supply.
Chapter 9 80©2005 Pearson Education, Inc.
The Effects of a Specific Tax
For simplicity we will consider a specific tax on a good Tax of a particular amount per unit sold Federal and state taxes on gas and
cigarettesFor our example, consider a specific tax
of $t per widget sold
Chapter 9 81©2005 Pearson Education, Inc.
•Buyers lose A + B
Incidence of a Specific Tax
D
S
B
D
A
C
Quantity
Price
P0
Q0Q1
PS price producers get
Pb price buyers pay
Tax = $1.00 •Government gains A
+ D in tax revenue.
•Sellers lose D + C
•The deadweightloss is B + C.
Chapter 9 82©2005 Pearson Education, Inc.
Incidence of a Specific Tax
Four conditions that must be satisfied after the tax is in place:
1. Quantity sold and buyers price, Pb, must be on the demand curve Buyers only concerned with what they must
pay
2. Quantity sold and sellers price, PS, must be on the supply curve Sellers only concerned with what they receive
Chapter 9 83©2005 Pearson Education, Inc.
Incidence of a Specific Tax
Four conditions that must be satisfied after the tax is in place (cont.):
3. QD = QS
4. Difference between what consumers pay and what buyers receive is the tax
If we know the demand and supply curves as well as the tax, we can solve for PB, PS, QD and QS
Chapter 9 84©2005 Pearson Education, Inc.
Incidence of a Specific Tax
In the previous example, the tax was shared almost equally by consumers and producers
If demand is relatively inelastic, however, burden of tax will fall mostly on buyers Cigarettes
If supply is relatively inelastic, the burden of tax will fall mostly on sellers
Impact of Elasticities on Tax Burdens
Quantity Quantity
Price Price
S
D S
D
Q0
P0 P0
Q0Q1
Pb
PS
t
Q1
Pb
PS
t
Burden on Buyer Burden on Seller
Chapter 9 86©2005 Pearson Education, Inc.
The Impact of a Tax or Subsidy
We can calculate the percentage of a tax borne by consumers using pass-through fraction ES/(ES - Ed) Tells fraction of tax “passed through” to
consumers through higher prices For example, when demand is perfectly
inelastic (Ed = 0), the pass-through fraction is 1 – consumers bear 100% of tax.
Chapter 9 87©2005 Pearson Education, Inc.
The Effects of a Tax or Subsidy
A subsidy can be analyzed in much the same way as a tax. Payment reducing the buyer’s price below
the seller’s priceIt can be treated as a negative tax.The seller’s price exceeds the buyer’s
price.Quantity increases
Chapter 9 88©2005 Pearson Education, Inc.
D
S
Effects of a Subsidy
Quantity
Price
P0
Q0 Q1
PS
Pb
Like a tax, the benefitof a subsidy is split
between buyers and sellers, depending
upon the elasticities ofsupply and demand.
Subsidy
Chapter 9 89©2005 Pearson Education, Inc.
Effects of a Subsidy
The benefit of the subsidy accrues mostly to buyers if Ed /ES is small.
The benefit of the subsidy accrues mostly to sellers if Ed /ES is large.
As with a tax, using supply and demand curves, and the size of the subsidy, one can solve for resulting prices and quantities.
Chapter 9 90©2005 Pearson Education, Inc.
A Tax on Gasoline
We can measure the effects of a tax by looking at an example of a gasoline tax
The goal of a large gasoline tax is Raise government revenue Reduce oil consumption and reduce US
dependence on oil importsWe will consider a gas tax in the market
during mid-1990’s
Chapter 9 91©2005 Pearson Education, Inc.
A Tax on Gasoline
Measuring the Impact of a 50 Cent Gasoline Tax Intermediate-run EP of demand = -0.5
QD = 150 - 50P EP of supply = 0.4
QS = 60 + 40P QS = QD at $1 and 100 billion gallons per
year (bg/yr)
Chapter 9 92©2005 Pearson Education, Inc.
A Tax on Gasoline
With a 50 cent taxQD = QS
150 - 50Pb = 60 + 40PS
150 - 50(PS+ 0.50) = 60 + 40PS
PS = .72
Pb = PS + 0.50 = $1.22
QD = QS = 89 bg/yr
Chapter 9 93©2005 Pearson Education, Inc.
A Tax on Gasoline
With a 50 cent tax Q falls by 11% Price to consumers increase by 22 cents per
gallon Producers receive about 20 cents per gallon
less Both producers and consumers were
opposed to the tax Government revenue would be significant at
$44.5 billion per year
Chapter 9 94©2005 Pearson Education, Inc.
CD
A
Impact of a 50 Cent Gasoline Tax
Quantity (billiongallons per year)
Price($ pergallon)
50 150100
P0 = 1.00
Pb = 1.22
PS = .72
89
11
The buyer pays 22 cents of the tax, and
the producer pays 28 cents.
SD
60
$0.50 Tax
Consumer Loss = A + B
Producer Loss = C + D
Government revenue = A + D = 0.50(89) = $44.5 billion.
B