2. In this chapter, look for the answers to
these questions:
How does a tax affect consumer surplus, producer
surplus, and total surplus?
What is the deadweight loss of a tax?
What factors determine the size of this deadweight
loss?
How does tax revenue depend on the size of the
tax?
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 2
3. Review from Chapter 6:
A tax is a wedge between the price buyers pay
and the price sellers receive.
A tax raises the price buyers pay and lowers the
price sellers receive.
A tax reduces the quantity bought & sold.
These effects are the same whether the tax is
imposed on buyers or sellers, so we do not
make this distinction in this chapter.
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 3
4. The Effects of a Tax
P
With no tax,
eq’m price is PE
and quantity is QE . Size of tax = $T
Govt imposes a PB S
tax of $T per unit.
PE
The price buyers
pay is PB , PS D
the price sellers
receive is PS ,
and quantity is QT . Q
QT QE
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 4
5. The Effects of a Tax
P
The tax generates
revenue equal to Size of tax = $T
$ T x QT .
PB S
PE
PS D
Q
QT QE
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 5
6. The Effects of a Tax
Next, we use the tools of welfare economics to
measure the gains and losses from a tax.
We will determine consumer surplus (CS),
producer surplus (PS), tax revenue, and total
surplus with and without the tax.
Tax revenue is included in total surplus, because
tax revenue can be used to provide services
such as roads, police, public education, etc.
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 6
7. The Effects of a Tax
P
Without a tax,
CS = A + B + C
PS = D + E + F A
Tax revenue = 0 S
B C
Total surplus PE
D E
= CS + PS
=A+B+C D
F
+D+E+F
Q
QT QE
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 7
8. The Effects of a Tax
P
With the tax,
CS = A
PS = F
A
Tax revenue PB S
=B+D B C
Total surplus D E
=A+B PS D
+D+F F
The tax causes
total surplus to Q
fall by C + E QT QE
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 8
9. The Effects of a Tax
P
C + E is called the
deadweight loss
(DWL) of the tax, A
PB S
the fall in total
B C
surplus that
results from a D E
market distortion, PS D
such as a tax. F
Q
QT QE
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 9
10. About the Deadweight Loss
Because of the tax, P
the units between
QT and QE are not
sold. S
PB
The value of these
units to buyers is
greater than the cost PS D
of producing them,
so the tax has
prevented some
mutually beneficial Q
QT QE
trades.
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 10
11. A C T I V E L E A R N I N G 1:
The market for
Analysis of tax P airplane tickets
A. Compute $ 400
CS, PS, and 350
total surplus 300
without a tax. S
250
B. If $100 tax 200
per ticket,
150
compute D
CS, PS, 100
tax revenue, 50
total surplus, 0 Q
and DWL. 0 25 50 75 100 125
11
12. A C T I V E L E A R N I N G 1:
The market for
Answers to A P airplane tickets
CS $ 400
= ½ x $200 x 100 350
= $10,000 300
S
PS 250
= ½ x $200 x 100 P = 200
= $10,000 150
D
total surplus 100
= $10,000 + $10,000 50
= $20,000 0 Q
0 25 50 75 100 125
12
13. A C T I V E L E A R N I N G 1:
A $100 tax on
Answers to B P airplane tickets
CS $ 400
= ½ x $150 x 75 350
= $5,625 300
S
PS = $5,625 PB = 250
tax revenue 200
= $100 x 75 PS = 150
= $7,500 D
100
total surplus 50
= $18,750
0 Q
DWL = $1,250
0 25 50 75 100 125
13
14. What Determines the Size of the
DWL?
The govt needs tax revenue to finance roads,
schools, police, etc., so it must tax some goods
and services.
Which ones? One answer is that govt should tax
the goods or services with the smallest DWL.
So when is the DWL small vs. large? Turns out it
depends on the elasticities of supply and demand.
Recall: The price elasticity of demand (or supply)
measures how much quantity demanded
(or supplied) changes when the price changes.
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 14
15. DWL and the Elasticity of Supply
When supply
P
is inelastic,
the DWL of a S
tax is small.
Size
of tax
D
Q
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 15
16. DWL and the Elasticity of Supply
P
S
The more elastic
is supply, Size
the larger is of tax
the DWL.
D
Q
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 16
17. DWL and the Elasticity of Supply
When demand
P
is inelastic,
the DWL of a S
tax is small.
Size
of tax
D
Q
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 17
18. DWL and the Elasticity of Supply
P
S
The more elastic
is demand, Size
of tax
the larger is
D
the DWL.
Q
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 18
19. Why Elasticity Affects the Size of DWL
A tax distorts the market outcome:
consumers buy less and producers sell less,
so eq’m Q is below the surplus-maximizing
quantity.
Elasticity measures how much buyers and
sellers respond to changes in price,
and therefore determines how much the
tax distorts the market outcome.
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 19
20. A C T I V E L E A R N I N G 2:
Elasticity and DWL of a tax
Would the DWL of a tax be larger if the
tax were on
A. Rice Krispies or sunscreen?
B. Hotel rooms in the short run or hotel rooms in
the long run?
C. Groceries or meals at fancy restaurants?
20
21. A C T I V E L E A R N I N G 2:
Answers
A. Rice Krispies or sunscreen
From Chapter 5:
Rice Krispies has many more close substitutes
than sunscreen, so demand for Rice Krispies is
more price-elastic than demand for sunscreen.
So, a tax on Rice Krispies would cause a larger
DWL than a tax on sunscreen.
21
22. A C T I V E L E A R N I N G 2:
Answers
B. Hotel rooms in the short run or long run
From Chapter 5:
The price elasticities of demand and supply
for hotel rooms are larger in the long run than
in the short run.
So, a tax on hotel rooms would cause a larger
DWL in the long run than in the short run.
22
23. A C T I V E L E A R N I N G 2:
Answers
C. Groceries or meals at fancy restaurants
From Chapter 5:
Groceries are more of a necessity and therefore
less price-elastic than meals at fancy restaurants.
So, a tax on restaurant meals would cause a
larger DWL than a tax on groceries.
23
24. A C T I V E L E A R N I N G 3:
Discussion question
The government must raise tax revenue to pay
for schools, police, etc. To do this, it can either
tax groceries or meals at fancy restaurants.
Which should it tax?
24
25. How Big Should the Government Be?
A bigger government provides more services,
but requires higher taxes, which cause DWL.
The larger the DWL from taxation,
the greater the argument for smaller government.
The tax on labor income is especially important;
it’s the biggest source of govt revenue.
For many workers, the marginal tax rate (the tax
on the last dollar of earnings) is almost 50%.
How big is the DWL from this tax?
It depends on elasticity….
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 25
26. How Big Should the Government Be?
If labor supply is inelastic, then this DWL is
small.
Some economists believe labor supply is
inelastic, arguing that most workers work
full time regardless of the wage.
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 26
27. How Big Should the Government Be?
Other economists believe labor taxes are highly
distorting because some groups of workers have
elastic supply and can respond to incentives:
• Many workers can adjust their hours,
e.g. by working overtime.
• Many families have a 2nd earner with discretion
over whether and how much to work.
• Many elderly choose when to retire based on the
wage they earn.
• Some people work in the “underground economy”
to evade high taxes.
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 27
28. The Effects of Changing the Size of the
Tax
Policymakers often change taxes, raising some
and lowering others.
What happens to DWL and tax revenue when
taxes change? We explore this next….
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 28
29. DWL and the Size of the Tax
P
Initially, the tax is new
T per unit. DWL
Doubling the tax S
causes the DWL
2T T
to more than
double. D
initial
DWL
Q
Q2 Q1
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 29
30. DWL and the Size of the Tax
P
Initially, the tax is new
T per unit. DWL
Tripling the tax S
causes the DWL
3T T
to more than
triple. D
initial
DWL
Q
Q3 Q1
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 30
31. DWL and the Size of the Tax
Implication
Implication Summary
When tax rates are
When tax rates are When a tax increases,
low, raising them
low, raising them DWL rises even more.
doesn’t cause much DWL
doesn’t cause much
harm, and lowering
harm, and lowering
them doesn’t bring
them doesn’t bring
much benefit.
much benefit.
When tax rates are
When tax rates are
high, raising them is
high, raising them is
very harmful, and
very harmful, and
cutting them is very
cutting them is very
beneficial. Tax size
beneficial.
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 31
32. Revenue and the Size of the Tax
When the P
tax is small,
increasing it
causes tax PB
S
revenue to rise. PB
2T T
PS D
PS
Q
Q2 Q1
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 32
33. Revenue and the Size of the Tax
P
PB
PB
S
When the 3T 2T
tax is larger,
increasing it D
causes tax PS
revenue to fall. PS
Q
Q3 Q2
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 33
34. Revenue and the Size of the Tax
The Laffer curve
Tax
The Laffer curve
shows the
relationship revenue
between
the size of the tax
and tax revenue.
Tax size
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 34
35. CHAPTER SUMMARY
A tax on a good reduces the welfare of buyers and
sellers. This welfare loss usually exceeds the
revenue the tax raises for the govt.
The fall in total surplus (consumer surplus,
producer surplus, and tax revenue) is called the
deadweight loss (DWL) of the tax.
A tax has a DWL because it causes consumers to
buy less and producers to sell less, thus shrinking
the market below the level that maximizes total
surplus.
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 35
36. CHAPTER SUMMARY
The price elasticities of demand and supply
measure how much buyers and sellers respond to
price changes. Therefore, higher elasticities imply
higher DWLs.
An increase in the size of a tax causes the DWL to
rise even more.
An increase in the size of a tax causes revenue to
rise at first, but eventually revenue falls because
the tax reduces the size of the market.
CHAPTER 8 APPLICATION: THE COSTS OF TAXATION 36
Notas do Editor
This chapter builds very closely on material from the previous three chapters: It uses the tools of welfare economics (from chapter 7) to analyze the effects of a tax (introduced in chapter 6). It explores the relationship between the price elasticities of demand and supply (chapter 5) with the deadweight loss of the tax. Covering this chapter immediately after the previous three will reinforce the concepts students learned in those chapters. The material in chapter 8 is important. The government must raise revenue to pay for the police, the court system, interstate highways, national defense, public education, and so forth. The government must choose which goods to tax, and how much to tax each one. Effective tax policy generates the needed revenue while striving for (the sometimes conflicting goals of) efficiency and equity. This is not one of the longer chapters; most instructors cover it in 1.5 or 2 hours of class time. But if you’re pressed for time and looking for things to cut, you might consider cutting some of these (my personal suggestions, not the official recommendations of Greg Mankiw or Thomson Learning): * revenue and the size of the tax, the Laffer Curve * DWL and the size of the tax * Active Learning 3, the slide with the discussion question on whether to tax groceries or meals at fancy restaurants * Active Learning 2
In chapter 7, students learned how to compute the area of triangles representing CS, PS, and total surplus. This skill is required to do this exercise. Most students will need a calculator to do part B. Your students need not draw the graph in order to do these calculations. However, if your students have handouts of these PowerPoint slides with the graphs already on them, ask your students to shade the areas corresponding to CS, PS, and so forth directly on the printed graphs.
To compute DWL, simply subtract total surplus with the tax ($18750) from total surplus without the tax ($20,000, which was computed on the preceding slide).
In this graph, the demand curve, equilibrium price, and size of the tax are identical to those in the graph on the preceding slide. The only thing that’s different is the supply curve here is flatter; as a result, the same size tax as before causes a larger DWL.
In this graph, the supply curve, equilibrium price, and size of the tax are identical to those in the graph on the preceding slide. The only thing that’s different is the demand curve here is flatter; as a result, the same size tax as before causes a larger DWL.
These examples (rice krispies vs. sunscreen) were chosen not because they are exciting real-world policy debates, but because they link back to the examples used in Chapter 5 to help students deduce the factors that determine elasticity. Suggestion: Display all three questions and give students a few moments to think about it. Then, proceed to the following slides… It might be worth mentioning to students: For each pair of goods, we are considering taxes of similar relative magnitude. (E.g., it wouldn’t be fair to ask whether a $10 per bottle tax on sunscreen has a bigger DWL than a $0.01 tax on boxes of Rice Krispies.)
Suggestion: Display the first line, then invite students to volunteer their answers before displaying the explanation.
Engage your students and give them a brief break from lecture. Show this slide and ask for students to volunteer their thoughts. The question on this slide will almost certainly elicit a few different opinions. Of course, there is no single “correct” answer – one choice is not unambiguously better than the other. A tax on groceries would be more efficient (smaller DWL) than a tax on restaurant meals. However, a tax on groceries would hurt people with low incomes proportionately more than people with higher incomes, as the former spend a larger percentage of their income on groceries. Hence, such a tax would be regressive. Once again, we see the tradeoff between efficiency and equity.
The next few slides are adapted from the section “Case Study: The Deadweight Loss Debate” in this chapter of the textbook. The title of this slide is actually a direct quote from this section. I think it makes a catchier title for these slides than “the deadweight loss debate.” Why the marginal tax rate is relevant: One of the 10 Principles from Chapter 1 is “rational people think at the margin.” This applies to workers, as well. When Susan considers increasing her hours, she takes into account the extra income she’d earn from working a few more hours a week. The extra income on each additional hour equals the hourly wage minus the marginal tax rate.
According to this view, the DWL from labor taxes is small. This is relevant to the question “how big should the government be?”, because a high DWL would argue for restraining the size of government.
The fourth edition of the textbook has a new “In The News” box containing an excellent WSJ article on the effect of tax rates on work effort.
The new DWL is four times bigger than the initial DWL, even though the tax is just twice as large.
The new DWL is nine times bigger than the initial DWL, even though the tax is only three times as large.
The “implication” in the green box is not in the textbook, and therefore not supported in the study guide or test bank. So, you may wish to delete it from this slide. If you keep it, note that the “harm” of raising taxes and the “benefit” of lowering them refer to the impact on total surplus.
The Laffer curves shown here and in the book are symmetric, and their peak occurs in the middle. This need not be the case, and probably is not the case. However, we just don’t know where the peak is – it could be at a tax rate of 20% or a tax rate of 200% - and surely varies across goods. The textbook has some excellent discussion of the Laffer curve, President Reagan, and supply-side economics, which you should encourage your students to read.