CHAPTER 1
INTRODUCTION
Defining the Field of Study
Public Finance – the field of economics that analyzes government taxation and spending policies
Public Sector Economics-see definition above
Public Economics-see definition above
What is not part of public finance
Public Finance and Ideology
Organic view of government
Mechanistic view of government
The Legal Framework
Federal government
Federal Constitutional provisions
Article 1, Section 8
Article 1, Section 9
16th Amendment
5th Amendment
The Legal Framework
State governments
Federal constitutional provisions
10th amendment
The State constitutions
Local governments
Derive power to tax and spend from the States
Fiscal independence of local governments
The Size of Government
How to measure the size of government
Number of workers
Annual expenditures
Types of government expenditure
Purchases of goods and services
Transfers of income
Interest payments
Budget documents
Unified budget
Regulatory budget
State, Local, and Federal Government Expenditures (selected years)
*Conversion to 2005 dollars done using the GDP deflator Source: Calculations based on Economic Report of the President, 2006 (Washington, DC: US Government Printing Office, 2006), pp. 280,284,323,379
%
13,066
3,876
3,876
2005
%
11,461
3,237
2,887
2000
%
10,289
2,574
1,873
1990
%
7,679
1,749
843
1980
%
5,858
1,201
295
1970
%
3,627
655
123
1960
Percent of GDP
2005 Dollars per capita
2005 Dollars (billions)*
Total Expenditures (billions)
4
3
2
1
Adjusting for Inflation
Adjusting for Population
Relative to Economy
Source: Organization for Economic Cooperation and Development [2006]. Figures are for 2005.
United
States
Source: Economic Report of the President [2006, p. 377].
Note decline in Defense
Note increase in Social Security, Medicare and Income Security
Source: Economic Report of the President [2006, p. 383].
Decline in highways
Increase in public welfare
Source: Economic Report of the President [2006, p. 377].
Social insurance and individual income tax have become more important
Corporate and other taxes have become less important
Source: Economic Report of the President [2006, p. 383].
Individual tax more important
Property tax less important
Changes in the Real Value of Debt
Inflation tax
Doing Research in Public Finance
Public Finance journals
International Tax and Public Finance
Journal of Public Economics
National Tax Journal
Public Finance
Public Finance Quarterly
General-interest journals
American Economic Review
Journal of Economic Perspectives
Journal of Political Economy
Quarterly Journal of Economics
Review of Economics and Statistics
Doing Research in Public Finance
Other sources
Journal of Economic Literature
Brookings Institution’s Studies of Government Finance
Congressional Budget Office reports
National Bureau of Economic Research working papers
Tax Foundation’s Facts and Figures on Government Finance
. Government Printing Office publications
Statistical Abstract of the United States
Economic Report of the President
Budget of the United States
. Census of Governments
Historical Statistics of the United States from Colonial Times to 1970
Doing Research in Public Finance
Public Finance data available on internet
Resources for Economists on the Internet
. Census Bureau
University of Michigan’s Office of Tax Policy Research
Urban-Brookings Tax Policy Center
CHAPTER 2
Tools of Positive Analysis
The Role of Theory
Economic models
virtue of simplicity
judging a model
limitations of models
Empirical analysis
Causation vs. Correlation
Statistical analysis
Correlation
Control group
Treatment group
Conditions required for government action X to cause societal effect Y
X must precede Y
X and Y must be correlated
Other explanations for any observed correlation must be eliminated
Experimental Studies
Biased estimates
Counterfactual
Experimental (or randomized) study
Conducting an Experimental Study
Random assignment to control and treatment groups
Pitfalls of Experimental Studies
Ethical issues
Technical problems
Response bias
Impact of limited duration of experiment
Generalization of results to other populations, settings, and related treatments
Black box aspect of experiments
Observational Studies
Observational study – empirical study relying on observed data not obtained from experimental study
Sources of observational data
Surveys
Administrative records
Governmental data
Econometrics
Regression analysis
Conducting an Observational Study
L = α0 + α1wn + α2X1 + … + αnXn + ε
Dependent variable
Independent variables
Parameters
Stochastic error term
Regression analysis
Regression line
Standard error
wn
L
α0
Intercept is α0
Slope is α1
Types of Data
Cross-sectional data
Time-series data
Panel data
Pitfalls of Observational Studies
Data collected in non-experimental setting
Specification issues
Quasi-Experimental Studies
Quasi-experimental study (= natural experiment) – observational study relying on circumstances outside researcher’s control to mimic random assignment
Conducting a Quasi-Experimental Study
Difference-in-difference quasi-experiments
Instrumental Variables quasi-experiments
Regression-Discontinuity Quasi-Experiments
Pitfalls of Quasi-Experimental Studies
Assignment to control and treatment groups may not be random
Not applicable to all research questions
Generalization of results to other settings and treatments
CHAPTER 3
TOOLS OF NORMATIVE ANALYSIS
Welfare Economics
Welfare Economics – branch of economic theory concerned with the social desirability of alternative economic states
Edgeworth Box
Edgeworth Box
Adam
Eve
0
0’
s
r
Apples per year
Fig leaves per year
v
w
u
y
x
Indifference curves in Edgeworth Box
Edgeworth Box
Adam
Eve
0
0’
s
r
Apples per year
Fig leaves per year
A1
A2
A3
E1
E3
E2
Making Adam better off without Eve becoming worse off
Edgeworth Box
Adam
Eve
0
0’
s
r
Apples per year
Fig leaves per year
Ag
Ah
Ap
Eg
g
h
p
A Pareto Efficient Allocation
Making Eve better off without Adam becoming worse off
Edgeworth Box
Adam
Eve
0
0’
s
r
Apples per year
Fig leaves per year
Ag
Eg
g
p1
p
Ep1
A Pareto Efficient Allocation
Making both Adam and Even better off
Edgeworth Box
Adam
Eve
0
0’
s
r
Apples per year
Fig leaves per year
Ag
Eg
g
p1
p
Ep2
Ap2
p2
Pareto efficient
Pareto improvement
Starting from a different initial point
Edgeworth Box
Adam
Eve
0
0’
s
r
Apples per year
Fig leaves per year
Ag
Eg
g
p1
p
Ep2
Ap2
p2
p3
p4
k
The Contract Curve
Edgeworth Box
Adam
Eve
0
0’
s
r
Apples per year
Fig leaves per year
Ag
Eg
g
p1
p
Ep2
Ap2
p2
p3
p4
The contract curve
Pareto Efficiency in Consumption
MRSaf = MRSaf
Adam
Eve
Production Possibilities Curve
Apples per year
Fig leaves per year
C
C
0
w
y
x
z
│Slope│ = marginal rate of transformation
Marginal Rate of Transformation
MRTaf = Marginal rate of transformation of apples for fig leaves
MRTaf = MCa/MCf
Efficiency Conditions with Variable Production
MRTaf = MRSaf = MRSaf
MCa/MCf = MRSaf = MRSaf
Adam
Eve
Adam
Eve
The First Fundamental Theorem of Welfare Economics
MRSaf = Pa/Pf
MRSaf = Pa/Pf
MRSaf = MRSaf
MCa/MCf = Pa/Pf
MRTaf = Pa/Pf
Pa/Pf = MCa/MCf
Adam
Eve
Adam
Eve
Efficiency versus Equity
Edgeworth Box
Adam
Eve
0
0’
s
r
Apples per year
Fig leaves per year
q
p5
p3
Utility Possibilities Curve
Eve’s utility
Adam’s utility
U
U
p3
q
p5
Social Indifference Curve
Eve’s utility
Adam’s utility
W = F(UAdam, UEve)
Increasing social welfare
Maximizing Social Welfare
Eve’s utility
Adam’s utility
i
ii
iii
Market Failure
Market Power
monopoly
Nonexistence of Markets
asymmetric information
externality
public good
Buying into Welfare Economics
Individualistic outlook
merit goods
Results orientation
Coherent framework for analyzing policy
Will it have desirable distributional consequences?
Will it enhance efficiency?
Can it be done at a reasonable cost?
CHAPTER 4
Public Goods
Characteristics of Goods
Excludable v Nonexcludable
Excludable – preventing anyone from consuming the good is relatively easy
Nonexcludable – preventing anyone from consuming the good is either very expensive or impossible
Rival v Nonrival
Rival – once provided, the additional resource cost of another person consuming the good is positive
Nonrival – once provided, the additional resource cost of another person consuming the good is zero
0
Types of Goods
NO
YES
NO
YES
RIVAL
EXCLUDABLE
PRIVATE GOODS
PUBLIC GOODS
COMMON RESOURCES
NATURAL
MONOPOLY
Noteworthy Aspects of Public Goods
Even though everyone consumes the same quantity of the good, it need not be valued equally by all
Classification as a public good is not absolute; it depends on market conditions and the state of technology
impure public good
A commodity can satisfy one part of the definition of a public good but not the other
Some things that are not conventionally thought of as commodities have public good characteristics
Private goods are not necessarily provided exclusively by the private sector
publicly provided private goods
Public provision of a good does not necessarily mean that it is also produced by the public sector
Some Other Public Goods
Basic research
Programs to fight poverty
Uncongested nontoll roads
Fireworks display
Efficient Provision of Private Goods
26
11
15
$1
22
9
13
$3
18
7
11
$5
14
5
9
$7
10
3
7
$9
6
1
5
$11
Market (DfA+E)
Eve (DfA)
Adam (DfA)
Price
0
DfA
DfE
DfA+E
0
Sf
$
Quantity of Pizza
Pareto Efficiency – Private Goods Case
MRSfa = Pf/Pa
Set Pa = $1
MRSfa = Pf
DfA shows MRSfa for Adam
DfE shows MRSfa for Eve
Sf shows MRTfa
Necessary condition for Pareto efficiency: MRSfaAdam = MRSfaEve = MRTfa
Efficient Provision of Public Goods
$250
$350
$450
$550
Market (DfA+E)
100
150
200
250
Eve (DfE)
$150
$200
$250
$300
Adam (DrA)
4
3
2
1
Units of Fireworks
0
0
DrA
DrE
DrA+E
Sr
Quantity of Fireworks
$
Pareto Efficiency – Public Goods Case
MRSfa = Pf/Pa
Set Pa = $1
MRSfa = Pf
DfA shows MRSfa for Adam
DfE shows MRSfa for Eve
Sf shows MRTfa
Necessary condition for Pareto efficiency: MRSfaAdam + MRSfaEve = MRTfa
Problems Achieving Efficiency
The Free-Rider Problem
Solutions to the free-rider problem
Perfect price discrimination
Policy Perspective: Global Positioning System
Do people free ride?
0
Laboratory Experiments and Free-Riding
How a typical experiment works
Typical results
People contribute about 50% of resources to provision of public good
Contributions fall the more often the game is repeated
Cooperation fostered by prior communication
Contribution rates decline when opportunity cost of giving goes up
“Warm-glow” giving
The Privatization Debate
Privatization – taking services supplied by government and turning them over to the private sector
Public v Private Provision: What is the right mix?
Relative wage and materials costs
Administrative costs
Diversity of tastes
Distributional Issues
Commodity egalitarianism – notion that some commodities ought to be made available to everyone
Public versus Private Production
Efficiency of private production
Problems in comparing cost differences
Incomplete Contracts
Competition to supply good or service
Reputation building
Policy Perspective: Should airport security be produced publicly or privately?
Market Environment
Preference Revelation Mechanisms
∆TEve = MRTra – (MRSraTotal – MRSraEve)
Eve’s choice: ∆TEve = MRSraEve
By substitution: MRTra – (MRSraTotal – MRSraEve) = MRSraEve
Add (MRSraTotal – MRSraEve) to both sides: MRTra = MRSraTotal
CHAPTER 5
Externalities
Externalities
Externality 外部效应– An activity on one entity that affects the welfare of another entity in a way that is outside the market mechanism
Not an Externality – suburban-urban migration example
The Nature of Externalities
Privately-owned versus commonly-owned resources versus prep. 1.(表示两队或双方对阵)对,诉,对抗 2.(比较两种不同想法、选择等)与…相对,与…相比
Externalities can be produced by consumers as well as firms
Externalities are reciprocal in nature
Externalities can be positive
Public goods can be viewed as a special kind of externality
The Nature of Externalities-Graphical Analysis
Q per year
$
MB
0
MD
MPC
MSC = MPC + MD
Q1
Q*
Actual output
Socially efficient output
a
b
c
d
f
e
g
h
What Pollutants Do Harm?
Empirical Evidence: What is the Effect of Pollution on Health?
What Activities Produce Pollutants?
What is the Value of the Damage Done?
Empirical Evidence: The Effect of Air Pollution on Housing Values
Bargaining and the Coase Theorem
Q per year
$
MB
0
MD
MPC
MSC = MPC + MD
Q1
Q*
c
d
g
h
The Coase Theorem
Coase Theorem – Provided that transaction casts are negligible, an efficient solution to an externality problem is achieved as long as someone is assigned property rights, independent of who is assigned those rights
Assumptions necessary for Coase Theorem to work
The costs to the parties of bargaining are low
The owners of resources can identify the source of damages to their property and legally prevent damages
Other Private Solutions
Mergers 英['mɜ:dʒə] 美['mədʒɚ]
n.(两个公司的)合并,(机构或企业的)归并
Social conventions
Public Responses to Externalities - Taxes
Q per year
$
MB
0
MD
MPC
MSC = MPC + MD
Q1
Q*
c
d
(MPC + cd)
Pigouvian tax revenues
i
j
Public Responses to Externalities - Subsidies
Q per year
$
MB
0
MD
MPC
MSC = MPC + MD
Q1
Q*
c
d
(MPC + cd)
i
j
g
k
h
f
e
Pigouvian subsidy
Emissions Fee
0
Pollution reduction
MSB
MC
e*
f*
$
Uniform Pollution Reductions
Bart’s pollution reduction
Homer’s pollution reduction
50
75
90
50
75
90
MCB
MCH
25
f = $50
f = $50
Bart’s Tax Payment
Homer’s Tax Payment
Cap-and-Trade
Bart’s pollution reduction
Homer’s pollution reduction
50
75
90
50
75
90
MCB
MCH
25
f = $50
f = $50
10
a
b
Cap-and-Trade v Emissions Fee
0
Pollution reduction
MSB
MC*
e*
f*
$
MC’
ef
e’
Too much pollution reduction
Too little pollution reduction
Cap-and-Trade v Emissions Fee
0
Pollution reduction
MC*
e*
f*
$
MC’
ef
e’
MSB
Too much pollution reduction
Too little pollution reduction
Emissions Fee v Cap-and-Trade
Responsiveness to Inflation
Responsiveness to Cost Changes
Responsiveness to Uncertainty
Distributional Effects
Emissions fee 排放费
Cap-and-Trade
Command-and-Control Regulation
Incentive-based regulationsincentive
[in'sentiv] 美[ɪn'sɛntɪv]
n.激励某人做某事的事物; 刺激; 诱因, 动机,奖励
adj.刺激;鼓励的
Command-and-control regulations
technology standard
performance standard
Is command-and-control ever better?
hot spots
The . Response
Clean Air Act
1970 amendments 英[ə'mendmənt] 美[ə'mɛndmənt]
n. 1.(法律、文件的)改动,修正案,修改,修订
2.(美国宪法的)修正案
Command-and-control in the 70s
How well did it work?
Progress with Incentive-based Approaches
Policy Perspective: Cap-and-Trade for Sulfur Dioxide
Policy Perspective: Cap-and-Trade to Protect Fisheries and Wildlife
individual transferable quotas
quota 英['kwəutə] 美['kwotə]
n. 1.(正式限定的)定量, 定额, 配额 2.定量;定额;指标 3.(候选
人当选所需的)规定票数,最低票数
Implications for Income Distribution
Who Benefits?
Who Bears the Cost?
Positive Externalities
Research per year
$
MPB
MC
MEB
MSB = MPB + MEB
R*
R1
A Cautionary Note
Requests for subsidies(补贴, 津贴, 补助金)
Resource extracted萃取的,提取 from taxpayers
Market does not always fail
Policy Perspective: Owner-Occupied Housing
adj.自己住的, 不出租的
CHAPTER 6
POLITICAL ECONOMY
Direct Democracy-Unanimity Rules
r per year
0
0’
Adam’s share (SA)
Eve’s share (SE)
DrA
The Lindahl Model
DrE
r*
S*
Feasibility of Unanimity Rules
Reaching equilibrium
Practical problems
Strategic behavior
time to reach equilibrium
Direct Democracy-Majority Voting Rules
Majority voting rule – one more than half of the voters must favor a measure for it to be approved
A
A
C
Third
C
B
B
Second
B
C
A
First
Angelina
Jen
Brad
Choice
Voter
Direct Democracy-Majority Voting Rules
Voting Paradox – community preferences can be inconsistent even though individual’s preferences are consistent
Agenda Manipulation – process of organizing order of votes to ensure a favorable outcome
Cycling – when paired voting on more than two possibilities goes on indefinitely without a conclusion ever being reached
A
B
C
Third
C
A
B
Second
B
C
A
First
Angelina
Jen
Brad
Choice
Voter
Graphing Preferences
Missiles
Utility
A
B
C
Brad
Jen
Angelina
Single-peaked preferences
Double-peaked preferences
Practical Importance of Double-peaked Preferences
Availability of private substitutes
Issues ranked along single dimension
Direct Democracy - The Median Voter Theorem
700
Louie
160
Dewey
150
Huey
100
Daisy
$5
Donald
Expenditure
Voter
Direct Democracy - Logrolling I
220
400
-60
-120
Pool
80
-30
150
-40
Library
95
-55
-50
200
Hospital
Total Net Benefits
Scarlet
Rhett
Melanie
Project
Voter
Direct Democracy - Logrolling II
-10
400
-140
-270
Pool
-10
-120
150
-40
Library
-15
-105
-110
200
Hospital
Total Net Benefits
Scarlet
Rhett
Melanie
Project
Voter
Direct Democracy - Arrow’s Impossibility Theorem
“Reasonable” collective decision-making criteria
It can produce a decision whatever the configuration of voters' preferences
It must be able to rank all possible outcomes
It must be responsive to individuals’ preferences
It must be consistent
Independence of irrelevant alternatives
Dictatorship ruled out
Arrow’s Impossibility Theorem
All conceivable voting schemes have some potential for being unfair or producing a paradoxical result
Meaning of theorem
consistent rule not necessarily impossible to find, but cannot be guaranteed
Buchanan’s critique
Use of social welfare functions
Representative Democracy - Elected Politicians
Number of Voters
Liberal
Conservative
0
Implications of the Median Voter Model
Two-party systems tend to be stable
Replacement of direct referenda by representative system has no effect on outcomes
Other Factors Influencing Voting
Single-dimensional rankings
Ideology
Personality
Leadership
Decision to vote
Representative Democracy-Public Employees
Function of bureaucrats
Goals of bureaucrats
Niskanen’s Model of Bureaucracy
Q per year
$
0
V
C
Q*
Efficient output
Qbc
Actual output
Representative Democracy – Special Interests
What are “Special Interests”
Establishment of Special Interest Groups
Source of Income: Capital or Labor
Size of Income
Source of Income: Industry of Employment
Region
Demographic and Personal Characteristics
Representative Democracy – Rent-Seeking
tons of peanuts per year
$
S=MC
D
MR
Rents
Representative Democracy – Other Actors
Judiciary
Journalists
Experts
Explaining Government Growth
Citizen Preferences
G = f(P, I)
Marxist View
Chance Events
Changes in Social Attitudes
Income Redistribution
Controlling Government Growth
Government growth as a non-issue
Government growth as a problem
Commitments made in the past
Basic flaws in the political system
Improving the Workings of the Political System
Change bureaucratic incentives
financial incentives
privatization
Change Fiscal Institutions
Budget Enforcement Act (BEA) – 1990
Balanced budget rules at the state level
Institute Constitutional Limitations
Balanced budget amendment
Provisions of a Typical Balanced Budget Amendment
Congress must adopt a budget statement “in which total outlays are no greater than total receipts”
Total receipts may not increase “by a rate greater than the rate of increase in national income”
“The Congress and President shall…ensure that actual outlays do not exceed the outlays set forth in the budget statement”
The provisions can be overridden in times of war
Critique of Balanced Budget Amendments
Forecasting issues
Definitional issues
Penalties for violation of the law
Economic issues
CHAPTER 7
EDUCATION
Real Annual Expenditure Per Pupil in Public Elementary and Secondary Schools (selected years)
Source: Computed from US Census Bureau, Statistical Abstract of the United States 2006. Washington, DC 2006, p. 155
$8,248
2004
$8,242
2003
$7,574
2000
$6,849
1995
$6,746
1990
$5,687
1985
4,917
1980
Expenditure per pupil (2004 dollars)
School Year
Justifying Government Intervention in Education
Is Education a Public Good?
Does Education Generate Positive Externalities?
The Conventional Wisdom
The Case Against the Conventional Wisdom
The Case of Higher Education
Is the Education Market Inequitable?
Commodity Egalitarianism
What Can Government Intervention in Education Accomplish?
Should public education be free and compulsory?
Should government produce public education?
Does Government Intervention Crowd Out Private Education?
Quantity of Education
Quantity of all other goods
A
B
i
e0
ep
ii
x
Private School quantity of education
Public schooling “crowds out” education
Does Government Intervention Crowd Out Private Education?
Quantity of Education
Quantity of all other goods
A
B
i
e0
ep
ii
x
Public schooling increases quantity of education
Does Government Intervention Crowd Out Private Education?
Quantity of Education
Quantity of all other goods
A
B
i
e0
ep
ii
x
Public schooling does not increase quantity of education
Does Government Spending Improve Educational Outcomes?
SOURCE: Organization for Economic Cooperation and Development [2005, Table ].
Does Government Spending Improve Educational Outcomes?
Comparative educational outcomes
Empirical Evidence: Does Spending on Education Improve Student Test Scores?
Public Spending and the Quality of Education
Empirical Evidence: Does Reducing Class Size Improve Student Test Scores?
Measuring costs
Measuring benefits
Project STAR
Israel
Timings of births
Political economy analysis of class size
California
Does Education Increase Earnings?
Link between higher spending on education and earnings
Elementary and secondary education outcomes
Influence of age and economic status
Spending on the margin
New Directions for Public Education-Charter Schools
Charter Schools- public schools operating under special state charters that permit experimentation and allow independence
Empirical evidence
Diversity of choice
Student outcomes
New Directions for Public Education-Vouchers
Vouchers – financial grants to families that can be used to pay their children’s tuition at (nearly) any school
Argument in favor
Vouchers create competition in educational marketplace
Arguments opposing
Parents might not be well-enough informed to make good choices
Moving children to private schools might reduce positive externalities of education
If good students escape bad schools, weaker students left behind may received even worse educations
Inequitable
Empirical evidence on the effect of vouchers
New Directions for Public Education-School Accountability
School accountability – monitoring student and school performance via standardized tests
No Child Left Behind Act (2001)
Empirical evidence on the effectiveness of school accountability
CHAPTER 8
COST-BENEFIT ANALYSIS
Projecting Present Dollars into the Future
R0 = $1000
R1 = $1000*(1+.01) = $1010
R2 = $1010*(1+.01) = $
R2 = $1000*(1+.01)2 = $
RT = R0*(1+r)T
Projecting Future Dollars into the Present
R0 = $1000
R1 = $1000*(1+.01) = $1010
R2 = $1010*(1+.01) = $
R2 = $1000*(1+.01)2 = $
RT = R0*(1+r)T
R0 = RT/(1+r)T
Present Value
discount rate
discount factor
Present Value of a Stream of Money
Inflation
Private Sector Project Evaluation
-21
10
37
46
1,200
550
3
98
86
0
0
2
165
128
0
600
1
$200
$150
0
-$1,000
$1,000
0
Advertising
R&D
R =
Advertising
R&D
Year
PV
Annual Net Return
Admissible
Preferable
Present Value Criteria
Internal Rate of Return
$20
$4
Profit
8%
$1,080
-$1,000
Y
10%
$110
-$100
X
PV
ρ
Year 1
Year 0
Project
Benefit-Cost Ratio
Benefit-cost ratio = B/C
Problems with the Benefit-cost Ratio
$140
$250
I: Add $40 mistake to C
$100
$210
I: Subtract $40 mistake from B
$100
$200
II
$100
$250
I
B/C
C
B
Method
Discount Rate for Government Projects
Returns in Private Sector
Social Discount Rate
Concern for Future Generations
Paternalism
Market Inefficiency
Government Discounting in Practice
Valuing Public Benefits and Costs
Market Prices
Adjusted Market Prices
shadow price
Monopoly
Taxes
Unemployment
Consumer Surplus
Pounds of avocados per year
Price per pound of avocados
Da
Sa
d
A0
Sa’
$
$
b
c
g
A1
e
Inferences from Economic Behavior
The Value of Time
The Value of Life
Lost earnings
Probability of Death
Valuing Intangibles
Subverting cost-benefit exercises
Reveal limits on intangibles
Cost-effectiveness analysis
Games Cost-Benefit Analysts Play
The Chain-Reaction Game
The Labor Game
The Double-Counting Game
Distributional Considerations
Hicks-Kaldor Criterion – a project should be undertaken if it has positive net present value, regardless of distributional consequences
Government costlessly corrects any undesirable distributional aspects
Weighted benefits
Uncertainty
$2,000
$1,000
0
Y
$1,000
$1,000
X
EV
Probability
Benefit
Project
Certainty Equivalent
Are Reductions in Class Size Worth It?
Discount rate
Costs
Benefits
The Bottom Line and Evaluation
Use (and Nonuse) by Government
Using Cost-Benefit Analysis
Not Using Cost-Benefit Analysis
Clean Air Act
Endangered Species Act
Food, Drug and Cosmetic Act
Calculating the Certainty Equivalent Value
Income per year
Utility
C
E
I*
E + y
U(E)
U*
U(E + y)
U
Expected income
Certainty Equivalent
CHAPTER 9
The Health Care Market
SOURCE: US Census Bureau [2006, pp. 98, 443], and National Income and Product Accounts (
Social Insurance
Social insurance - government programs that provide insurance to protect against adverse events
Examples
Medicaid
Medicare
Social Security
Unemployment Compensation
How Health Insurance Works
Insurance premium
Expected Value
Expected value (EV) = probability of outcome 1) * (Payout in outcome 1) + probability of outcome 2)*(Payout in outcome 2) + … + (probability of outcome n)*(Payout in outcome n)
Expected Value Computation
Draw cards from deck of cards
Draw heart and receive $12
Draw spade, diamond or club and lose $4
Probability of drawing heart = 13/52 = ¼
Probability of drawing spade, diamond or club = 39/52 = ¾
EV = (1/4)($12) + (3/4)(-$4) = $0
Why Buy Insurance?
$47,000
$47,000
$47,000
$30,000
1 in 10
9 in 10
$50,000
Option 2: Full Insurance ($3,000 premium to cover $30,000 in losses
$47,000
$20,000
$50,000
$30,000
1 in 10
9 in 10
$50,000
Option 1: No Insurance
Expected Value
Income if She Gets Sick
Income if She Stays Healthy
Lost Income if She Gets Sick
Probability of Getting Sick
Probability of Staying Healthy
Income
Insurance Options
(C)
(B)
(A)
Actuarially Fair Insurance Policy
Why People Buy Insurance
Income
Utility
20,000
47,000
50,000
UA
UC
UD
UB
D
C
B
A
Expected Utility
Risk Smoothing
Do People Buy Insurance with Loading Fees?
Risk Aversion
Risk Premium
Loading Fee
The Role of Risk Pooling
Insurance in a small population
Insurance in a large population
Law of large numbers
Adverse Selection in the Health Insurance Market
Asymmetric information
Asymmetric Information and Adverse Selection
$0
-$15,000
$0
Insurer's Net Profits
-$1,500
$0
$0
$3,000
$30,000
1 in 10 (Low Risk)
Ethan
-$1,500
$0
$0
$3,000
$30,000
1 in 10 (Low Risk)
Hannah
-$1,500
$0
$0
$3,000
$30,000
1 in 10 (Low Risk)
Matthew
-$1,500
$0
$0
$3,000
$30,000
1 in 10 (Low Risk)
Olivia
-$1,500
$0
$0
$3,000
$30,000
1 in 10 (Low Risk)
Joshua
$1,500
$3,000
$0
$6,000
$30,000
1 in 5 (High Risk)
Madison
$1,500
$3,000
$0
$6,000
$30,000
1 in 5 (High Risk)
Michael
$1,500
$3,000
$0
$6,000
$30,000
1 in 5 (High Risk)
Emma
$1,500
$3,000
$0
$6,000
$30,000
1 in 5 (High Risk)
Jacob
$1,500
$3,000
$0
$6,000
$30,000
1 in 5 (High Risk)
Emily
(Premium = $4,500)
(Premium = $3,000)
(Differential Premiums)
Lost Income
if Sick
Getting Sick
Insurance Buyer
Minus Premium
Minus Premium
Minus Premium
Expected
Lost Income
Probability of
Expected Benefit
Expected Benefit
Expected Benefit
(F)
(E)
(D)
(C)
(B)
(A)
Does Adverse Selection Justify Government Intervention?
Experience rating
Experience rating and equity
Community rating
Insurance and Moral Hazard
Moral hazard
Deductible
Co-payment
Co-insurance
Moral Hazard
Medical services per year
Price per unit
Dm
Sm
M1
M0
0
P0
.2P0
a
b
h
deadweight loss
Flat-of-the-curve medicine
Health Care Expenditures and Health Outcomes
Additional Considerations
The Elasticity of Demand for Medical Services
Does Moral Hazard Justify Government Intervention?
Third Party Payment
Other Market Failures in the Health Care Market
Information Problems
Externalities
Do We Want Efficient Provision of Health Care?
Paternalism
The Problem of the Uninsured
Who are the uninsured?
Does health insurance improve health
High Health Care Costs
Causes of Health Care Cost Inflation
The Graying of America
Income Growth
Improvements in Quality
Commodity Egalitarianism
CHAPTER 10
GOVERNMENT AND THE MARKET FOR HEALTH CARE
SOURCE: Centers for Medicare and Medicaid Services [2005a].
SOURCE: Centers for Medicare and Medicaid Services [2005a].
Private Health Insurance
The Implicit Subsidy for Employer-Provided Insurance
World War II era price controls
Federal tax subsidy
The Advantages of Employer-Provided Health Insurance
Increase the risk pool
Reduce adverse selection
Lower administrative costs
Employer-Provided Health Insurance and Job Lock
Job lock
Health Insurance Policy Portability and Accountability Act of 1996 (Kennedy-Kassenbaum Act)
Cost Control and Private Insurance
Cost-based reimbursement (fee-for-service)
Managed care
Capitation-based reimbursement
Health Maintenance Organizations (HMOs)
Preferred Provider Organizations (PPOs)
Point-of-service (POS)
Medicare: Overview
SOURCE: Centers for Medicare and Medicaid Services [2005a].
Real expenditures on Medicare
Expenditures on Medicare as a Share of GDP
How Medicare Works
Benefits
Part A – Hospital insurance (HI)
Part B – Supplementary medical insurance (SMI)
Financing
Payroll tax funds HI
General revenues fund SMI
Prescription Drug Benefit
Part C – Medicare Advantage
Part D – Prescription Drug Benefit
Monthly premium
Low deductible
Donut hole
Generous coverage for high costs
Cost Control Under Medicare
Medicare’s retrospective payment system
Medicare’s prospective payment system
Diagnosis related groups
Resource-based relative value scale system
Medicare Managed Care
Medicare: Impacts on Spending and Health
Expenditures on health care for the elderly
Health outcomes
Medicaid: Overview
Medicaid
State Children’s Health Insurance Program
SOURCE: Centers for Medicare and Medicaid Services [2005a].
Financing and Administration
Joint Federal-State financing
State administration
Benefits
States obligated to offer minimum package of benefits
States may offer more generous benefits
State administrative flexibility
Medicaid: Impacts on Health
Take-up rate
Crowding out
Empirical evidence: Are Medicaid expansions effective? Crowding out and taking up
Health Care Reform
Individual mandates
Health savings accounts
Catastrophic insurance policy
Single payer
Final Thoughts
Security v efficiency
No free lunch
Connection between health care expenditures and health
Does Public Insurance Crowd Out Private Insurance?
Health insurance
Health insurance
Health insurance
Quantity of all other goods
Quantity of all other goods
Quantity of all other goods
A
A
A
F
F
F
B
B
B
M
M
M
0
0
0
Amount of publicly provided insurance
Amount of publicly provided insurance
Amount of publicly provided insurance
C
C
C
CHAPTER 11
SOCIAL SECURITY
GDP data from Department of Commerce's Bureau of Economic Analysis.
Sources: Expenditure data from Social Security Trustees [2006]. CPI data from Department of Labor's Bureau of Labor Statistics.
Why Have Social Security?
Consumption Smoothing and the Annuity Market
How Social Security works
Annuity
Consumption smoothing
Adverse Selection and the Annuity Market
Asymmetric information
Adverse selection
Other Justifications
Lack of foresight and paternalism
Moral hazard
Economize on decision-making and administrative costs
Income Redistribution
Improve the Economic Status of the Aged
Fully Funded Plan
Period 4
Period 3
Period 2
Period 1
contribute
benefits
contribute
benefits
contribute
benefits
The Greatest
Generation
The Baby Boom
Generation
Generation X
Work
Retire
Dead
Unborn
Work
Work
Retire
Still Dead
Dead
Childhood
Childhood
Retire
Each generation’s benefits based on deposits it made during working life plus accumulated interest
Pay As You Go (or Unfunded) System
Period 4
Period 3
Period 2
Period 1
The Greatest
Generation
The Baby Boom
Generation
Generation X
Work
Retire
Dead
Unborn
Work
Work
Retire
Still Dead
Dead
Childhood
Childhood
Retire
contribute
benefits
contribute
benefits
contribute
benefits
benefits
0
Each generation’s benefits come from tax payments made by current workers
Today’s Partially Funded System
Period 4
Period 3
Period 2
Period 1
The Greatest
Generation
The Baby Boom
Generation
Generation X
Work
Retire
Dead
Unborn
Work
Work
Retire
Still Dead
Dead
Childhood
Childhood
Retire
contribute
benefits
contribute
benefits
contribute
benefits
benefits
0
Baby Boomers and Gen X are also contributing to their own retirement
Explicit Transfers
Benefits for dependents and survivors (1939)
Supplemental Security Income
Benefits
How to calculate benefits
AIME (Average Indexed Monthly Earnings) – average monthly earnings in 35 highest paid years
Wages indexed for inflation
Ceiling on AIME – up to tax ceiling
0
Benefit Structure
If AIME < $656 PIA = .90*AIME
If $656< AIME <$3955 PIA = .90*$656 + .32*(AIME - $656)
If AIME > $3955 PIA = .90*$656 + .32*($3955-$656) + .15*(AIME - $3955)
First Bend Point
Second Bend Point
0
Adjustments
Annual inflation adjustment
Age at which benefit is drawn
Normal retirement age
Early retirement – benefit reduced 5/9th of one percent a month for first 36 months preceding normal retirement age
Late retirement – benefit increased 15/24th of one percent a month
0
Adjustments
Family Status
+50% for spouse or dependent child
If covered worker dies spouse receives 100% of worker’s benefit or spouse’s benefit
Divorced spouse married at least 10 years gets spouse benefit if not remarried while covered worker alive
Earnings test and taxing benefits
Benefits reduced $1 for every $2 earned above $12,480
Individuals losing benefits may have later benefits increased
Up to 85% of benefits taxed for recipients with income above a base amount ($25,000 for single and $32,000 for married taxpayers.)
Financing
FICA (Federal Insurance Contribution Act)
2006 Social Security Tax rates
Employee
% (OASI - %, DI - .6%) of first $94,200 of earnings on both employee and employer
Self-employed
%
2006 Medicare Tax rates
% on both employer and employee with no earnings ceiling
Why not fund Social Security through general tax revenues?
0
Distributional Issues
Actuarially fair return
Intergenerational redistribution
Total benefits = Nb * B
Total taxes = t * Nw * w
If total benefits = total taxes: Nb * B = t * Nw * w or B = t * (Nw/Nb) * w
Ida Mae Fuller
Social Security Wealth for Representative Individuals
All values expressed in 2006 dollars.
See C. Eugene Stueuerle and Jon M. Bakija [1994] for original tables and methodology.
Source: Updated tables, furnished by C. Eugene Steuerle and Adam Carasso, 2006.
Other Distributional Issues
Redistribution within a generation
Differences by earnings
Differences by lifespan
Differences by living arrangements
Differences by number of earners in the family
Normative evaluation
The Social Security Trust Fund
Social Security and National Saving
Budget Treatment of Social Security
Off budget
Unified budget
Worker
Retiree
Trust
Fund
0
Social Security and Savings Behavior
Life-cycle theory of savings
Wealth Substitution Effect
Retirement Effect
Bequest Effect
Empirical Evidence
Martin Feldstein’s work
CONS = f(DI, W, SSW, X)
MPCssw = .028
60% reduction in personal saving
Others
Rosen: Social security has had a negative effect on saving, but magnitude of effect is unclear
Effects on Retirement and Labor Supply
1930 LFPR 65+ was 54%
2001 LFPR 65+ was 18%
Effect of Social Security
Income Effect – SS raises retirement income
Substitution Effect – SS reduces the cost of retiring
Earnings test
Impact on Younger Workers?
0
Distribution of Wealth
Bequeathable v Annuitized Wealth
Effect of Social Security on Bequeathable Wealth
Effect on Wealth Mobility
Budget Constraint for Present and Future Consumption
Present consumption (c0)
Future consumption (c1)
N
M
I0
I1
D
I0 - S
I1 + (1+r) S
S
(1+r)S
I1 - (1+r) B
F
B
(1+r)B
At endowment point consumer neither saves nor borrows
Utility-maximizing Choice of Present and Future Consumption
Present consumption (c0)
Future consumption (c1)
N
M
I0
I1
E1
c1*
A
c0*
Saving
Crowding out of private saving due to Social Security
Present consumption (c0)
Future consumption (c1)
N
M
I0
I1
E1
c1*
A
c0*
R
T
I0T
(1+r)T
Saving before Social Security
Saving after Social Security
Other ways Social Security Affects Saving
Retirement effect
Bequest effect
Empirical evidence
Retirement Decisions
Social security wealth and the retirement decision
Empirical evidence
Diamond and Gruber [199]
Gruber and Wise [2004]
Long-Term Stresses on Social Security
Projected revenues and projected costs of Social Security as share of Gross Domestic Product
Source: Social Security Trustees [2006]
Long-Term Stresses on Social Security
Since: B = t * (Nw/Nb) * w
Rearrange: t = (Nw/Nb) * (B/w)
Dependency Ratio
Replacement Ratio
Social Security Reform
Time horizon for solvency
Sustainable solvency
Maintain the Current System
Raise the payroll tax
Raise the Maximum Taxable Earnings Level
Raise the Retirement Age
Reducing the Cost-of-Living Adjustment
Change the Benefit Formula
Comparing the Options
Privatize the System
Personal Accounts
Pros and cons of personal accounts
Effect on Solvency
Effect on Saving
Carve-out accounts
Add-on accounts
Risk
Administration
Distribution
Policy Perspective: President Bush’s Social Security Reform Proposal
Voluntary personal accounts
Carve-outs
Government management
Portfolio limitations
Benefit offsets
Inheritability
Achieving sustainable solvency
Progressive indexing
Empirical Evidence: Does Social Security Reduce Saving?
Time-series evidence
Martin Feldstein (1974, 1996) v Leimer and Lesnoy (1982)
Cross-section evidence
Evidence from other countries
Attanasio and Brugiavini (2003) and Italy
Ida Mae Fuller
0
CHAPTER 12
INCOME REDISTRIBUTION: CONCEPTUAL ISSUES
The Distribution of Income Among Households
These figures do not include the value of in-kind transfers.
URL:
Source: . Census Bureau, Current Population Survey, Annual Social and Economic Supplements
2004
2002
1997
1992
1987
1982
1977
1967
Top 5 Percent
Highest Fifth
Fourth Fifth
Middle Fifth
Second Fifth
Lowest Fifth
Year
Percentage Share
Who is Poor?
Figures are for 2004.
[WWW Document] URL:
Source: US Bureau of the Census, “Historical Poverty Tables.”
Hispanic origin
Female households,
no husband present
Black
65 years and older
White
%
Under 18 years
%
All persons
Poverty Rate
Group
Poverty Rate
Group
Poverty Rate (1960-2004)
Source: US Bureau of the Census, “Historical Poverty Tables.”
[WWW Document] URL:
Measuring Poverty
Poverty line
Interpreting the Distributional Data
Census income consists only of family’s cash receipts
in-kind transfers
Official figures ignore taxes
Income measured annually
Consumption data may provide better assessment of well-being
Problems defining unit of observation
Simple Utilitarianism
Utilitarian Social Welfare Function: W = F(U1, U2, ,,,, Un)
“Promote Greatest Good for Greatest Number”
Additive Social Welfare Function W = U1 + U2 + … + Un
Assume
Individuals have identical utility functions that depend only on their incomes
Utility functions exhibit diminishing marginal utility of income
Total amount of income is fixed
0
Implications for Income Inequality
Paul’s marginal utility
0
Peter’s marginal utility
Paul’s income
Peter’s income
0
0’
MUPaul
MUPeter
a
e
c
d
f
I*
b
Paul’s income
Peter’s income
Take ab from Peter and give to Paul
Paul gains this much utility
Peter loses this much utility
This is the net gain to society
Social welfare maximized
Evaluating the Assumptions
Assumption 1
Assumption 2
Assumption 3
The Maximin Criterion
Social Welfare Function W = Minimum(U1, U2, …, Un)
Maximin criterion - No inequality acceptable unless it works to the advantage of the least well off
Original position – “behind the veil of ignorance”
Critique of Rawls
Pareto Efficient Income Redistribution
Will redistribution always make someone worse off?
Utility Function Ui = F(X1, X2, …, Xn, U1, U2, …, Ui-1, Ui+1, …, Um)
Redistribution if gain in utility from charity exceeds loss from reduced consumption
Government reduces cost of redistribution
Income distribution as a Public Good
Social safety net
Social stability
Nonindividualistic Views
Fundamental principles specifying income distribution derived independent of tastes
Incomes distributed equally as matter of principle
Plato’s 4:1 ratio of highest to lowest income
Commodity Egalitarianism
Other Considerations
Processes versus Outcomes
Fairness of distribution of income judged by fairness of process that generated it
Robert Nozick
Society cannot redistribute income because society has no income to redistribute
Mobility
Corruption
Expenditure Incidence
Relative price effects
Public goods
Valuing in-kind transfers
In-kind Transfers
Pounds of cheese per month
Other goods per month
300
260
20
150
B
A
D
210
60
F
E1
U
E3
420
340
H
In-kind Transfers
Pounds of cheese per month
Other goods per month
300
136
82
150
B
A
D
210
F
E4
E5
420
H
168
126
Reasons for In-Kind Transfers
Commodity egalitarianism
Reduce welfare fraud
Political factors
CHAPTER 13
EXPENDITURE PROGRAMS FOR THE POOR
A Quick Look at Welfare Spending
Means-tested
Cash versus in-kind assistance
Anti-poverty impact of non-means-tested programs
Source: Burke [2003, p. 3]. Figures are for 2002.
Energy aid
Jobs/training
Services
Education
Housing benefits
Food benefits
Cash aid
$
$
Medical care
State and Local
Federal
Program
TANF
Aid to Families with Dependent Children (1935-96)
TANF-Temporary Assistance for Needy Families (1996- )
No entitlement
Time limits
Work requirement
Block grants to states
Benefit reduction rates
Work Incentives
B = G – tE
B = 0 if E = G/t
0
The Basic Trade-offs
G – basic grant if not working
t – rate at which grant reduced when recipient earns money
B – benefit received
Analysis of Work Incentives
w*
Hours of leisure per month
Income per month
0
T
a
Time Endowment
D
|Slope| = w
b
c
2w
Analysis of Work Incentives
Hours of leisure per month
Income per month
0
T
D
|Slope| = w
i
ii
iii
E1
F
G
Leisure
Work
Income
Analysis of Work Incentives
Hours of leisure per month
Income per month (= earnings + transfers)
0
T
D
|Slope| = w
Q
F
G
S
$100
V
|Slope| = 3/4w
K
Hours before TANF
Hours after TANF
Analysis of Work Incentives
Hours of leisure per month
Income per month (= earnings + transfers)
0
T
D
P
F
G
$338
R
P1
Budget constraint with t = 100%
S
0 hours of work selected
Analysis of Work Incentives
Hours of leisure per month
Income per month (= earnings + transfers)
0
T
D
P
M
G
R
E2
Hours worked
Work Requirements
Workfare
TANF
Mandated work
Time Limits
Lifetime
Per spell of welfare
Family Structure
Marriage
Childbearing
National versus State Administration
Race to the Bottom
State experimentation
Earned Income Tax Credit
Empirical Evidence: The Effect of the Earned Income Tax Credit on Labor Supply
Labor force participation
Work hours
Supplemental Security Income
SSI versus conventional welfare
Uniform minimum federal guarantee
Benefit levels
Work incentives
Medicaid
How Medicaid works
Crowding Out
The Medicaid Notch
Medicaid and Health
The Medicaid Notch
Hours of leisure per year
Income per year
0
T
D
M
N
R
S
X
Z
$1,000
Unemployment Insurance
Why does government insure against unemployment?
Adverse selection
Moral hazard
Benefits
Gross replacement rate
Financing
Experience rated
Effects on Unemployment
Food Stamps and Child Nutrition
How food stamps work
Foods stamps as an in-kind transfer
Participation rates
Housing Assistance
How housing assistance works
Housing subsidies
Section 8 certificates
Voucher programs
Impact on stock of housing
Public housing and economic self-sufficiency of inhabitants
Programs to Enhance Earnings
Education
Head Start
Employment and Training
Overview
Source: Holt [2005, Part D, Figure 1].
Figure : Estimated effective marginal tax rates for a one-parent, two-child household residing in Wisconsin (2000)
New Ideas
Replace current hodgepodge with single cash assistance program
Benefit levels
Faith-based social services
CHAPTER 14
TAXATION AND INCOME DISTRIBUTION
Vocabulary
Statutory Incidence
Economic Incidence
Tax Shifting
Partial Equilibrium Models
0
Tax Incidence: General Remarks
Only people can bear taxes
Functional distribution of income
Size distribution of income
Both sources and uses of income should be considered
Incidence depends on how prices are determined
Incidence depends on the disposition of tax revenues
Balanced-budget tax incidence
Differential tax incidence
Lump-sum tax
Absolute tax incidence
Tax Progressiveness Can Be Measured in Several Ways
Average tax rate versus marginal tax rate
Proportional tax system
Progressive tax system
Regressive tax system
5,400
30,000
1,400
10,000
400
5,000
0
0
3,000
-$200
$2,000
Marginal Tax Rate
Average Tax Rate
Tax Liability
Income
Tax Liabilities under a hypothetical tax system
Measuring How Progressive a Tax System is
Measuring How Progressive a Tax System is – A Numerical Example
Suppliers Receive
Consumers Pay
After Tax
Before Tax
$
$
$
$
0
D0
S0
D1
S1
Partial Equilibrium Models
Quantity
$
0
DX
S
SX
DX’
Perfectly Inelastic Supply
Quantity
$
0
DX
S
SX
DX’
Perfectly Elastic Supply
Quantity
$
Ad Valorem Taxes
Pounds of food per year
Price per Pound of food
Df
Sf
Q0
Qm
Qr
P0
Pm
Pr
Df’
Taxes on Factors
The Payroll Tax
Capital Taxation in a Global Economy
Commodity Taxation without Competition
Monopoly
Oligopoly
Profits Taxes
Economic profit
Perfect competition
Monopoly
Measuring economic profit
Tax Incidence and Capitalization
PR = $R0 + $R1/(1 + r) + $R2/(1 + r)2 + … + $RT/(1 + r)T
PR’ = $(R0 – u0) + $(R1 – u1)/(1 + r) + $(R2 – u2)/(1 + r)2 + … + $(RT – uT)/(1 + r)
u0 + u1/(1 + r) + u2/(1 + r)2 + … + uT/(1 + r)T
Capitalization
General Equilibrium Models
Partial equilibrium
General equilibrium
Tax Equivalence Relations
tKF = a tax on capital used in the production of food
tKM = a tax on capital used in the production of manufactures
tLF = a tax on labor used in the production of food
tLM = a tax on labor used in the production of manufactures
tF = a tax on the consumption of food
tM = a tax on consumption of manufactures
tK = a tax on capital in both sectors
tL = a tax on labor in both sectors
t = a general income tax
Tax Equivalence Relations
Partial factor taxes
Source: McLure [1971].
t
are equivalent to
tL
and
tK
to
to
to
equivalent
equivalent
equivalent
are
are
are
tM
are equivalent to
tLM
and
tKM
and
and
and
tF
are equivalent to
tLF
and
tKF
The Harberger Model
Assumptions
Technology
Elasticity of substitution
Capital intensive
Labor intensive
Behavior of factor suppliers
Market structure
Total factor supplies
Consumer preferences
Tax incidence framework
Analysis of Various Taxes
Commodity tax (tF)
Income tax (t)
General tax on labor (tL)
Partial factor tax (tKM)
Output effect
Factor substitution effect
Some Qualifications
Differences in individuals’ tastes
Immobile factors
Variable factor supplies
An Applied Incidence Study
Source: Congressional Budget Office [2004]. These figures are based on
projections that rely on assumptions about inflation and income growth.
They include all tax law as of 2001.
Top 1%
All Quintiles
Highest Quintile
Fourth Quintile
Third Quintile
Second Quintile
%
%
Lowest Quintile
Share of
Federal Taxes
Average Federal
Tax Rate
Income Category
Table Average federal tax rates and share of federal taxes by income quintile (2006)
The Payroll Tax
Hours per year
Wage rate per hour
DL
SL
L0 = L1
wg = w0
Pr
DL’
wn
Monopoly
X per year
$
DX
MRX
ATCX
MXX
X0
P0
ATC0
a
b
c
d
Economic Profits
DX’
MRX’
Pn
i
g
f
h
X1
Economic Profits
after unit tax
CHAPTER 15
TAXATION AND EFFICIENCY
Excess Burden Defined
Pounds of corn per year
Pounds of barley per year
E1
B1
C1
D
F
A
Cb
Ca
B0
Government levies tax on barley
i
Effect of Tax on Consumption Bundle
Pounds of corn per year
Pounds of barley per year
E1
B1
C1
D
F
A
Cb
Ca
B0
E2
i
ii
G
Excess Burden of the Barley Tax
Pounds of corn per year
Pounds of barley per year
E1
B1
C1
D
F
A
Cb
Ca
B0
E2
i
ii
G
H
B3
M
I
Tax Revenues
Equivalent variation
Questions and Answers
If lump sum taxes are so efficient, why aren’t they widely used?
Are there any results from welfare economics that would help us understand why excess burdens arise?
Questions and Answers
Does an income tax entail an excess burden?
Questions and Answers
Pounds of corn per year
Pounds of barley per year
C1
D
F
A
Cb
Ca
B1 = B2
E2
i
ii
E1
J
B3
R
K
If the demand for a commodity does not change when it is taxed, does this mean that there is no excess burden?
S
Uncompensated response
Income effect
Substitution effect -compensated effect
Compensated demand curve
Excess Burden Measurement with Demand Curves
Pounds of barley per year
Price per pound of barley
a
Db
Sb
q1
q2
i
h
S’b
Pb
(1 + tb)Pb
g
f
d
Tax revenues
Excess burden of tax
Excess burden = ½ ηPbq1tb2
Preexisting Distortions
Theory of the Second Best
Double-dividend hypothesis
Excess Burden of a Subsidy
Housing services per year
Price per unit of housing services
m
Dh
Sh’
h2
h1
u
q
Sh
(1 – s)Ph
Ph
n
o
r
Excess burden
v
Excess Burden of Income Taxation
Hours per year
Wage rate per hour
SL
L1
L2
a
g
(1 – t)w
w
f
i
h
Excess burden
d
Excess burden = ½ εωL1t2
The Allocation of Time Between Housework and Market Work
$
$
0
0’
Hours worked in home per year
Hours worked in market per year
H*
w1
w1
VMPhome
VMPmkt
(1 – t)VMPmkt
H1
a
b
e
c
d
w2
(1 – t)w2
Excess burden = ½ (ΔH)tw2
Does Efficient Taxation Matter?
Why no excess burden budget?
Is efficiency the primary objective of government policy?
Does excess burden mean a tax is bad?
Appendix A – Formula for Excess Burden
A = ½ * base * height
= ½ * (di) * (fd)
fd = ∆Pb = (1 + tb) * Pb – Pb = tb * Pb
di = ∆q
η = (∆q/∆Pb)(Pb/q)
∆q = η(q/Pb)∆Pb
since ∆Pb = tb * Pb
∆q = η(q/Pb)*(tbPb) = η * q * tb
since di = ∆q
A = ½(di)(fd)
= ½(ηqtb)*(tbPb)
= ½ * η * Pb * q * (tb)2
Appendix B – Multiple Taxes and the Theory of the Second Best
Gallons of gin per year
Gallons of rum per year
Price per gallon of gin
Price per gallon of rum
Dg
Dr
g1
Pg
Dr’
Pr
(1 + tr)Pr
r1
r2
r3
a
b
c
g
h
d
g2
e
f
(1 + tg)Pg
CHAPTER 16
EFFICIENT AND EQUITABLE TAXATION
Optimal Commodity Taxation
w(T – l) = PXX + PYY
wT = PXX + PYY + wl
wT = (1 + t)PXX + (1 + t)PYY + (1 + t)wl
1 wT = PXX + PYY + wl 1 + t
The Ramsey Rule
X per year
PX
DX
P0
X0
c
P0 + uX
b
X1
∆X
a
Excess Burden
P0 + (uX + 1)
f
X2
i
∆x
e
j
h
g
Marginal Excess Burden
marginal excess burden = area fbae = 1/2∆x[uX + (uX + 1)] = ∆X
The Ramsey Rule continued
change in tax revenues = area gfih – area ibae = X2 – (X1 – X2)uX marginal tax revenue = X1 ∆X
marginal tax revenue per additional dollar of tax revenue = ∆X/(X1 - ∆X)
marginal tax revenue per additional dollar of tax revenue for good Y = ∆Y/(Y1 - ∆Y)
To minimize overall excess burden = ∆X/(X1 - ∆X) = ∆Y/(Y1 - ∆Y)
therefore
A Reinterpretation of the Ramsey Rule
inverse elasticity rule
The Corlett-Hague Rule
In the case of two commodities, efficient taxation requires taxing commodity complementary to leisure at a relatively high rate
Equity Considerations
Equity implications of inverse elasticity rule
Vertical equity
Optimal departure from Ramsey Rule
Application: Taxation of the Family
Under federal income tax law, fundamental unit of income taxation is family
Is excess burden minimized by taxing each spouse’s income at same rate?
Should husbands face higher marginal tax rates than wives?
Optimal User Fees
Z per year
$
A Natural Monopoly
DZ
MRZ
ACZ
MCZ
ZM
PM
ACM
Z*
P*
ZA
Marginal Cost Pricing with Lump Sum Taxes
Benefits received principle
Average Cost Pricing
A Ramsey Solution
Optimal Income Taxation-Edgeworth’s Model
W = U1 + U2 + … + Un
Individuals have identical utility functions that depend only on their incomes
Total amount of income fixed
Implications of model for income tax
Optimal Income Taxation-Modern Studies
Supply-side responses to taxation
Linear income tax model (flat income tax)
Revenues = -α + t * Income
Stern [1987]
Gruber and Saez [2002]
Income
Tax Revenue
α = lump sum grant
t = marginal tax rate
Politics and the Time Inconsistency Problem
Public choice analysis of tax policy
Time inconsistency of optimal policy
Other Criteria for Tax Design
Horizontal equity
Utility definition of horizontal equity
Transitional equity
Rule definition of horizontal equity
Costs of Running the Tax System
Costs of administering the income tax in the .
Types of costs
Compliance
Administration
Tax Evasion
Evasion versus Avoidance
Policy Perspective: Architectural Tax Avoidance
Methods of tax evasion
Keeping two sets of books
Moonlight for cash
Barter
Deal in cash
Positive Analysis of Tax Evasion
(Dollars of underreporting)
(Dollars of underreporting)
$
$
MC = p * marginal penalty
MC = p * marginal penalty
MB = t
MB = t
R*
R* = 0
Costs of Cheating
Psychic costs of cheating
Risk aversion
Work choices
underground economy
Changing Probabilities of Audit
Normative Analysis of Tax Evasion
Tax evaders given weight in the social welfare function
Tax evaders given no weight in the social welfare function
Expected marginal cost of cheating = penalty rate * probability of detection
probability of detection = f(resources devoted to tax administration
draconian v just retribution penalties
CHAPTER 17
THE PERSONAL INCOME TAX
Computation of Federal Personal Income Tax Liability
Tax Base
“Above-the-line” deductions
Adjusted Gross Income
- Exemptions
Larger of standard deduction or itemized deductions
Taxable Income
tax rate
Tax liability before credits
Tax credits
Regular tax liability
Wages and compensation, interest, dividends, capital gain (or loss), business income (or loss), pensions, farm income (or loss), rents, royalties, Social Security benefits, etc.
Trade or business expenses, moving expenses, educator expenses, self-employed health insurance premium payments, student loan payments, tuition and fees, alimony paid, etc.
Phase-out with income
Charitable contributions, home mortgage interest, state and local taxes, medical expenses in excess of % of AGI, casualty and theft losses, non-reimbursed employee expenses; Phase out with income; Differs by filing status
Six ordinary rates (10%, 15%, 25%, 28%, 33%, 35%); differs by filing status; special rates for dividends and capital gains
Child tax, additional child tax, EITC, HOPE and Lifetime Learning, electric vehicles, health coverage tax, adoption, mortgage interest, retirement savings contribution, child and dependent care credit, credit for the elderly or the disabled, . First-Time homebuyer’s credit, etc.; Phase-out with income
Start over to determine AMT tax liability using AMT base. Pay tentative AMT liability in excess of regular tax liability
Pay tax or claim refund
Haig-Simons Income (Comprehensive Income)
Income = Consumption + DNet Worth
Maximum consumption taxpayers can enjoy without spending down their wealth
Anything received that can be used, either now or later, to purchase goods and services
Subtract costs of earning income
Items Included in H-S Income
Employer pension contributions and insurance purchase
Transfer payments, including Social Security benefits, unemployment compensation, and welfare
Capital gains
Realized versus unrealized
Income in kind
Imputed rent
Some Practical and Conceptual Problems
Computing income net of business expenses
Computing capital gains and losses
Computing imputed income from durables
Valuing in-kind services
Evaluating the H-S Criterion
Equity – treats likes alike
Efficiency – treats all forms of income the same; decisions made on the basis of economic value not tax consequences
Excludable Forms of Money Income
Interest on State & Local Bonds
Some dividends
Capital gains
Employer contributions to benefit plans
Some types of saving
Individual retirement account (IRA)
Roth IRA
401(k) plan
Keogh plan
Education savings account
Gifts and Inheritances
Personal Exemptions
Allowable Exemptions
Taxpayer and spouse
Children under 19 (or 24 if in school)
Children and other relatives who pass certain tests (depend on taxpayer for support)
Phase out
Why are there exemptions?
Adjust ability to pay for presence of children
Provide tax relief for low-income families
Deductions
Standard versus Itemized
Deductibility and Relative Prices
PZ (1-t)PZ
Important Itemized Deductions
Unreimbursed medical expenses > % AGI
State and Local Income and Property Taxes
Certain Interest Expenses
Interest on consumer debt
Interest on qualified education loans
Interest on debt incurred to purchase financial assets
Interest on home mortgages
Interest rules in terms of H-S criterion
Tax Arbitrage
Charitable Contributions
More Deduction Issues
Deductions and complexity
Deductions versus credits
Itemized deduction phaseout
Standard deduction
Impact on the Tax Base
Tax Expenditures
What are tax expenditures?
Annual tax expenditure budget
Technical problems with measuring tax expenditures
Incentive effects
Defining income
Philosophical objections
The Simplicity Issue
Tax Reform Act of 1986 (TRA86)
Economic Growth and Tax Relief Reconciliation Act of 2001 (EGTRRA)
Rate Structure
35
$336,550 and over
35
$336,550 and over
33
$188,450-$336,550
33
$154,800-$336,550
28
$123,700-$188,450
28
$74,200-$154,800
25
$61,300-$123,700
25
$30,650-$74,200
15
$15,100-$61,300
15
$7,550-$30,650
10%
$0-$15,100
10%
$0-$7,550
Marginal Tax Rate
Taxable Income
Marginal Tax Rate
Taxable Income
Joint Returns
Single Returns
Official Statutory Tax Rate Schedule (2006)
Effective versus Statutory Rates
Statutory rates differ from effective rates
Tax system treats some forms of income preferentially
Tax shifting
Excess burden and administrative costs
Flat Income Tax
Features of Flat income tax
Applies same tax rate to everyone and each component of income
Limited deductions
Arguments in favor
Reduces excess burden
Reduces incentive to cheat
Greater simplicity
Equity
Arguments against
Shifts burden from rich to middle class
Simplicity an illusion
Altig et. Al. [2001]
Taxes and Inflation
Tax Indexing
How inflation can affect taxes
Bracket creep
Deductions and exemptions set in nominal terms
Taxation of nominal capital gains
Taxation of nominal interest
Coping with the Tax/Inflation Problem
Ad hoc reductions in tax rates
Indexing of parts of tax code [1981]
Should indexing be maintained?
No – ad hoc adjustments force legislature to reexamine the entire tax code
Yes – desirable to have a stable and predictable tax code and fewer opportunities for legislative mischief; repeal would have a larger impact on low-income families
The Alternative Minimum Tax
Brief history of the AMT
Computing the tax base under AMT
Add AMT tax preferences to regular taxable income
Subtract AMT exemption
Alternative minimum tax income (AMTI)
Computing Tentative AMT
Apply AMT tax rate schedule to AMTI
Taxpayer pays higher of tentative AMT or regular income tax liability
AMT as a Mass Tax
Why has AMT become more important?
AMT not adjusted for inflation
Cuts in regular tax
Problems with AMT
Fairness
Efficiency
Simplicity
Choice of Unit and the Marriage Tax
Three principles
The income tax should embody increasing marginal tax rates
Families with equal income should, other things being the same, pay equal taxes
Two individuals’ tax burdens should not change when they marry; the tax system should be marriage neutral
No tax system can adhere to all three simultaneously
Tax Liabilities Under a Hypothetical System
5,100
15,000
Fred
12,600
30,000
10,200
5,100
15,000
Ethel
12,100
29,000
Ricky
$12,600
$30,000
$12,200
$ 100
$1,000
Lucy
Joint Tax
Joint Income
Family Tax with Individual Filing
Individual Tax
Individual Income
Brief History of Marriage Tax in the United States
Pre-1948 taxable unit was individual
1948 family became taxable unit
Income splitting
1969 New tax rate schedule for unmarried people created
1981 New deduction for two-earner married couples added
1986 Two-earner deduction eliminated
2001 law reduces (but does not eliminate) marriage penalty and adds “tax dowry”
Analyzing the Marriage Tax
Advantages to using the family as taxable unit
Fairer treatment of nonlabor income (bedchamber transfers of property)
Family a bedrock institution of society
Disadvantages of using the family as taxable unit
Given high divorce rates, bedchamber transfers of property may not be significant
Defining the family
Efficiency issues
Does tax system affect marriage and divorce rates?
Labor supply
Treatment of International Income
Global versus territorial systems
Equity
Efficiency
Production decisions
Residential decisions
State Income Taxes
State income taxes similar to federal tax
Lower marginal tax rates
Including state tax rates when assessing overall marginal tax rates
Politics and Tax Reform
Disagreements among experts
Any change will hurt someone
Tax system with low rates and broad base is not stable politically
Interest on State and Local Bonds
ip = 15% t = 30%
ig = % ig = (1-t)ip
ip = 15% t1 = 30% ig = % t2 = 20% ig = 12%
If person 2 lends $1,000 Treasury loses $1,000*.15*.20 = $30 and State saves $1,000*.03 = $30
If person 1 lends $1,000 Treasury loses $1,000*.15*.30 = $45 and State saves $1,000*.03 = $30
Capital Gains
P = $100,000 g = 10%
$100,000*(1+.1)^20 = $672,750
Capital Gain = $672,750 - $100,000 = $572,750
Tax $572,750 * .2 = 114,550
Net Gain = $458,200
P = $100,000 g = 10% net g = 10%() = 8%
$100,000*(1+.08)^20 = $466,096
Capital Gain = $466,096 - $100,000 = $366,096
Taxes deferred are taxes saved
Lock-in Effect
Gains Not Realized at Death
Evaluation of Capital Gains Rules
No justification under optimal tax literature for preferential treatment of capital gains under H-S criterion
Other justifications
Capital gains are unexpected windfalls
Require sacrifice of abstaining from consumption
Needed to stimulate capital accumulation and risk taking
Counterbalance to effect of inflation
Tax Arbitrage
Assume Caesar pays taxes at a 35% rate and can borrow all he wants at a 15% interest rate
Let Cesar borrow $1,000.
Each year he pays $150 in interest (= .15*1,000)
Interest payment reduces taxable income $150 and saves $ in taxes (= .35*150)
His net payment of interest is $150 - $ = $ for an effective interest rate of $ = %.
If he can invest in state & local bonds at 11%, the tax system has created a “money machine.”
Taxation of Nominal Interest
Real after-tax rate of return: r = (1 – t)i – π
Let t = 25%, i = 16%, π = 10%
r = (1 - .25)(.16) - .10 = .02 = 2%
Now assume expected rate of inflation and nominal interest rate both increase by 4 percentage points
r = (1 - .25)(.20) - .14 = .01 = 1%
CHAPTER 18
PERSONAL TAXATION AND BEHAVIOR
Labor Supply
Hours of leisure per week
Income per week
0
T
time endowment
D
|Slope| = w
F
G
Leisure
Work
i
ii
iii
E1
Income
Effects of Taxation
Hours of leisure per week
Income per week
0
T
D
|Slope| = w
F
G
ii
iii
E1
i
I
E2
|Slope| = (1-t)w
H
G’
Hours of work before tax
Hours of work after tax
Effects of Taxation
Hours of leisure per week
Income per week
0
T
D
F
G
ii
iii
E1
i
J
E3
H
K
Hours of work before tax
Hours of work after tax
Effects of Taxation
Hours of leisure per week
Income per week
0
T
D
F
N
E1
P
E4
Hours of work before tax
|Slope| = w
|Slope| = (1-t1)w
|Slope| = (1-t2)w
|Slope| = (1-t2)w
(1-t1)$5,000
(1-t1)$5,000 + (1-t2$5,000
Empirical Findings
Eissa [2001]
Males
Females
Some Caveats
Demand-side considerations
Individual versus group effects
Other dimensions of labor supply
The compensation package
The expenditure side
Labor Supply and Tax Revenues
Hours per week
Wage rate per hour
SL
w
L0
(1-t1)w
L1
d
b
a
c
(1-t2)w
e
f
L2
k
(1-t3)w
h
i
L3
j
(1-tA)w
LA
Tax Rates versus tax revenue – Laffer Curve
Tax rate
Tax revenue
t1
t2
tA
t3
Debate Over the Laffer Curve
The Laffer curve and the elasticity of labor supply
Where on the Laffer curve is the economy operating?
Empirical estimates of the elasticity of labor supply
Other ways tax rates can affect tax revenues
Determining the optimal tax rate
Saving
Present consumption (c0)
Future consumption c1
Endowment point
I0
I1
M
N
ІSlopeІ = 1 + r
E1
c0*
c1*
i
ii
iii
Saving
Deductible Interest Payments and Taxable Interest Receipts
Present consumption (c0)
Future consumption c1
I0
I1
M
N
After-tax budget line ІSlopeІ = 1 + (1-t)r
E1
c0*
c1*
Saving before tax
Q
P
A
c0t
c1t
Saving after tax
Deductible Interest Payments and Taxable Interest Receipts
Present consumption (c0)
Future consumption c1
I0
I1
M
N
After-tax budget line ІSlopeІ = 1 + (1-t)r
E1
c0*
c1*
Saving before tax
Q
P
A
c0t
c1t
Saving after tax
Nondeductible Interest Payments and Taxable Interest Receipts
Present consumption (c0)
Future consumption c1
I0
I1
M
N
After-tax budget line ІSlopeІ = 1 + (1-t)r
c1*
Q
P
A
c1t
Some Additional Considerations
Real net rate of return
Many assets
Private saving versus social saving
Validity of life-cycle model
Empirical evidence: the effect of taxation on saving
Tax-Preferred Savings Accounts
Types of tax-preferred savings accounts and how they work
Are contributions to these accounts new saving?
Administrative details and effect on saving
Taxes and the Capital Shortage
Taxes and investment
Taxes and excess burden
Closed versus open economy
Empirical evidence
Housing Decisions
Effects of the income tax on housing decisions
Rnet = R – I + ΔV
Implicit rent not taxed
Deductibility of mortgage interest and property tax payments
The decision to rent or buy
Proposals for Change
Critique of subsidy for owner-occupied housing
Are there significant positive externalities?
Impact on distribution of income
Political feasibility of taxing imputed rent
Reform proposals
Elimination of deduction for property tax and mortgage interest
Placing an upper-limit on deductions
An efficient solution
Portfolio Composition
Tobin’s model of portfolio composition
Impact of proportional tax with full loss offset
Impact on return
Impact on risk
Empirical evidence
A Note on Politics and Elasticities
Ambiguity about effect of taxation on behavior
Importance of elasticities
“Convenient” beliefs about elasticities
Taxes and Human Capital Accumulation
Human capital
Investing in human capital
B – C > 0
(1 – t)B – (1 – t)C = (1 – t)(B – C) > 0
Income versus substitution effects
Shortcomings of model
Returns uncertain
Explicit costs
Other taxes
Progressive taxes
Effect of Taxation on Saving
Problems using the regression approach
Specification issues
Measurement issues
Bernheim [2002]
CHAPTER 19
THE CORPORATION TAX
I’ll probably kick myself for having said this, but when are we going to have the courage to point out that in our tax structure, the corporation tax is very hard to justify?
President Ronald W. Reagan
Corporations
Corporation – A state-chartered form of business organization, usually with limited liability for shareholders (owners) and an independent legal status
Limited liability
Corporations are “artificial legal persons”
Why Tax Corporations?
Only real people can pay a tax
Justifications
Corporations are distinct entities
Corporations receive special privileges from society
Protects integrity of personal income tax
Structure
Revenue
- Expenses incurred earning revenues
Taxable Income
* Tax rate (15% - 35%)
Tax
- Credits
Total Tax
Alternative Minimum Tax
Treatment of Losses
Treatment of Dividends versus Retained Earnings
Double taxation
Effective Tax Rate on Corporate Capital
Statutory rate versus effective rate
Interest deductibility
Depreciation allowances
Inflation
Double taxation
Gravelle [2004]
Effective corporate rate = 32%; noncorporate rate = 18%
Sensitivity of estimate
Incidence and Excess Burden
A tax on corporate capital
Incidence in a general equilibrium model
Excess burden on a general equilibrium model
A tax on economic profits
Incidence and excess burden of a tax on economic profits
Actual corporate profits versus economic profits
Stiglitz [1973] model
Effects on Behavior – Total Physical Investment
Accelerator Model
Neoclassical Model
Cash Flow Model
Effects on Behavior-Type of Asset
Tax system encourages purchase of assets that receive relatively generous depreciation allowances
Effects on Behavior-Corporate Finance
Why do firms pay dividends?
Dividends as a signal of firm’s financial strength
Clientele effect
Effect of taxes on dividend policy
Empirical evidence – Chetty and Saez [2004]
Effect on savings
Debt versus Equity Finance
Did the tax system cause the corporate accounting scandals?
State Corporation Taxes
State taxes have similar incidence and efficiency problems as federal taxes
Variation of tax rates across state lines
Taxation of Multinational Corporations
Structure
U. S. corporations pay tax at standard rate on global taxable income
Credit for foreign taxes paid
Subsidiary status
Deferral of taxes on income from foreign enterprise
Repatriation
Income allocation
Arm’s length system
Transfer-pricing problem
Evaluation of Tax Treatment of Multinational Firms
Maximization of world income
Maximization of national income
Corporation Tax Reform
Full Integration (Partnership Method)
Issues
Nature of the corporation
Administrative feasibility
Effects on efficiency
Effects on saving
Effect on distribution of income
Dividend Relief
Allow corporation to deduct dividends
Exclude dividends from individual taxation
2003 legislation – 15% maximal tax rate on dividends
Allowable Expenses
Employee Compensation
except compensation in excess of $1,000,000
Options do not have to be included
Cost of Material Inputs
Taxes including employer contributions to Social Security
Repairs and advertising
Interest but not dividends
Depreciation
No investment tax credit
Depreciation
What is depreciation?
Tax life of an asset
3, 5, 7, 10, 15, 20, , and 39 years
Most 5 years
Calculating the Value of Depreciation Allowances – Straight-Line Depreciation, 10 year tax life
$35,
$3,
$3,
$3,
$3,
$3,
$3,
$3,
$3,
$3,
$3,
Tax Savings
$21,
$100,
Total
$1,
$10,
10
$1,
$10,
9
$1,
$10,
8
$1,
$10,
7
$1,
$10,
6
$2,
$10,
5
$2,
$10,
4
$2,
$10,
3
$2,
$10,
2
$3,
$10,
1
Present Value of Tax Savings
Write-off
Year
Calculating the Value of Depreciation Allowances – Straight-Line Depreciation, 5 year tax life
$35,
$7,
$7,
$7,
$7,
$7,
Tax Savings
$26,535,51
$100,
Total
$4,
$20,
5
$4,
$20,
4
$5,
$20,
3
$5,
$20,
2
$6,363,64
$20,
1
Present Value of Tax Savings
Write-off
Year
Calculating the Value of Depreciation Allowances – Double Declining Balance Depreciation, 10 year tax life
$
$2,
$6,
10
$1,
$2,
$6,
9
$1,
$2,
$6,
8
$1,
$2,
$6,
7
$1,
$2,
$6,
6
$23,
$35,
$100,
Total
$1,
$2,
$6,
5
$2,
$3,
$10,
4
$3,
$
$12,
3
$4,
$5,
$16,
2
$6,
$7,
$20,
1
Present Value of Tax Savings
Tax Savings
Write-off
Year
General Analysis of Depreciation Tax Savings
T = tax life
D(n) = proportion of asset that can be written off against taxable income in nth year
θ = corporate tax rate
Present value of tax savings:
ψ = θ * D(1) + θ * D(2) + … + θ * D(T) 1 + r (1 + r)2 (1 + r)T
More on Depreciation
Accelerated depreciation
Expensing
Intangible Assets
Investment Tax Credit
k = investment tax credit
q = acquisition price of asset
(1 – k)q = effective price of asset
Stiglitz Model
G = before-tax value of output produced by machine
r = interest rate
Firm buys machine if: G – r > 0
Assume corporate tax
(1) net income taxed at rate θ
(2) net income = G – r
(1 – θ)(G – r) > 0
Neoclassical Model
User cost of capital = (r + δ)
After tax rate of return = (1 – θ) * (1 – t)
(1 – θ) * (1 – t) * C = (r + δ)
C = (r + δ) (1 – θ) * (1 – t)
C = (r + δ) * (1 – ψ –k) (1 – θ) * (1 – t)
Effect of User Cost on Investment
Econometric problems
Role of expectations
Elasticity of supply curve of capital goods
Open economy problems
Cash Flow Model
What is cash flow?
Irrelevancy of cash flow in neoclassical model
Cost of internal versus external funds
Empirical results
Maximization of World Income
rf = rUS
(1 – tf)rf = (1 – tUS)rUS
Full credit versus limited credit
Maximization of National Income
(1 – tf)rf = rUS
rf = rUS/(1 – tf)
if tf < 1, then rUS < rUS/(1 – tf)
Deduction of foreign tax payments from domestic income:
rf(1 – tf)(1 – tUS) = rUS(1 – tUS)
Note: this equation equivalent to …
this one
Effects on Efficiency of Full Integration
Misallocation of resources between corporate and noncorporate sectors eliminated
Tax-induced distortions in savings decisions reduced
Remove incentive for “excessive” retained earnings
Reduce bias toward debt financing
CHAPTER 20
DEFICIT FINANCE
How Big is the Deficit?
Deficit
Surplus
On-budget deficit
Off-budget deficit
How Big is the Deficit?
How Big is the Debt?
National (Public) Debt
Stocks v Flows
How Big is the Debt?
Interpreting Deficit, Surplus, and Debt Numbers
Government Debt held by the Federal Reserve Bank
State and Local Government
Effects of Inflation
inflation tax
Capital versus Current Accounting
Tangible Assets
Implicit Obligations
Summing Up
The Burden of the Debt
Statutory versus Economic Incidence
Lerner’s View
Internal Debt
External Debt
Overlapping Generations Model
+6,000
+6,000
(5) Government pays back debt
-4,000
-4,000
-4,000
(4) Government raises taxes to pay back debt
Old
Middle-Aged
Young
The Year 2027
4,000
4,000
4,000
(3) Government- provided consumption
-6,000
-6,000
(2) Government Borrowing
12,000
$12,000
$12,000
(1) Income
Old
Middle-Aged
Young
The Period 2007-2027
Generational Accounting
Computation of Net Tax
PV of transfers received – PV of taxes paid
Neoclassical Model
Crowding Out Hypothesis
Empirical testing of the hypothesis
The Ricardian Model
Intergenerational transfers
Form of Finance is irrelevant
Empirical evidence
To Tax or to Borrow
Benefits-Received Principle
Intergenerational Equity
Efficiency Considerations
χ = ½εLt2
Macroeconomic Considerations
Functional finance
Moral and Political Considerations
Present Value of Tax Payments Under Alternative Taxing/Borrowing Decisions
100
10
10
0
Deficit Finance II: borrow 100 in year 1 and pay interest on debt in all subsequent years always rolling over debt principle
100
0
110
0
Deficit Finance I: borrow 100 in year 1 and pay back debt plus interest in year 2 by raising taxes
100
0
0
100
Balanced budget: raise 100 in taxes in year 1
Financing Options
100
0
0
100
Spend an additional $100 in year 1
PV @ 10% interest rate
All Future Years
Year 2
Year 1
Policy
To Tax or To Borrow
Tax rate
Excess Burden
t
2t
χ2
χ1
CHAPTER 21
FUNDAMENTAL TAX REFORM: TAXES ON CONSUMPTION AND WEALTH
Efficiency and Equity of Personal Consumption Taxes
Efficiency issues
An income tax and saving and labor supply decisions
A consumption tax and saving and labor supply decisions
Efficiency and Equity of Personal Consumption Taxes
Equity issues
Progressiveness
Ability to pay
Annual versus Lifetime Equity
A numerical example
A formal model
Retail Sales Tax
General sales tax
Selective sales tax (excise tax or differential commodity tax)
Forms of a sales tax
Unit tax
Ad valorem tax
State and Local Sales Tax Revenues by Source ($billions)
Source: US Bureau of the Census [2006]. Figures are for 2003-2004.
%
%
Percent of own-source revenue from sales taxes
Public utilities
Tobacco
Alcoholic beverages
Motor fuel
$
$
General sales tax
Local
State
Source
Rationalizations
Ease of administration
Defining the tax base
Tax evasion
Efficiency and Distributional Implications of States Sales Taxes
Differential versus uniform tax rates
How to set rates
Efficiency goal only
Equity goal
Externalities
Sales taxes as substitutes for user fees
“Sin” taxes
Information requirements for differential tax rates
A National Retail Sales Tax
Arguments in favor
Simplicity
Ease of compliance
Arguments Against
Value-Added Tax
How a value-added tax works
VAT as an alternative method for collecting retail sales tax
Implementation Issues
Treatment of investment assets
Consumption-type VAT
Collection procedure
Invoice method
Rate structure
A VAT for the United States?
Desirability of VAT depends on…
What tax (or taxes) it will replace
How revenues will be spent
Political implications of VAT’s revenue raising prowess
International implications
Hall-Rabushka Flat Tax
Business tax
tax base = Sales – purchases from other firms – payments to workers
Pay flat tax rate on final amount
Individual Compensation tax
tax base = payments received by individual for their labor services
No additional deductions
Apply selected tax schedule
Why is H&R tax a consumption tax?
Cash-Flow Tax
How a cash-flow tax works
How to compute annual consumption
Cash-flow basis
Qualified accounts
Income versus Consumption Taxation
No need to measure capital gains and depreciation
Fewer problems with inflation
No need for separate corporation tax
Administrative problems
Transitional issues
Gifts and bequests
Advantages
Disadvantages
Problems with Both Systems
Defining consumption
Choosing the unit of taxation
Choosing the rate structure
Valuing fringe benefits
Determining method for averaging over time
Taxing home production
Discouraging incentive to participate in underground economy
Real world versus ideal tax systems
Policy Perspective: President’s Advisory Panel on Federal Tax Reform
Wealth Taxes
Justifications for taxing wealth
Large accumulations of wealth should be taxed
Correct problems with administration of income tax
Higher wealth implies higher ability to pay
Reduces the concentration of wealth
Payment for benefits received from government
Estate and Gift Taxes
Rationales
Payment for services
Reversion of property to society
Incentives
Recipient versus donor behavior
Work
Saving
Form of bequest
Relation to personal income tax
Income distribution
Provisions of the Unified Transfer Tax
Gross Estate
Charitable Contributions
Funeral Expenses
Costs of Settling Estate (lawyer’s fees)
Outstanding Debts
Lifetime Exemption
Qualified Transfers to Spouse
Annual Gift Exclusion
Taxable Estate
* tax rate
Tax
0
Special Problems
Policy Perspective: Death of the Death Tax?
Jointly held property
Closely-held businesses
Avoidance strategies
Insurance trust
Gifts of stock
Reforming Estate and Gift Taxes
Integrate with personal income tax
Accessions tax
Prospects for Fundamental Tax Reform
Broad versus piecemeal changes
Gross Estate
All decedent’s assets at time of death, including real property, stocks, bonds and insurance policies, plus gifts made during decedent’s lifetime
Typically valued at market value at date of death; valuation may be set 6 months later if value of estate declines
Closely held businesses and farms are valued at “use value;” this can reduce estate value by up to $770,000
Annual versus Lifetime Equity – A Numerical Example
$500
$523
$500
$500
Present Value of taxes paid
Consumption tax
Income tax
Consumption tax
Income tax
$25
$525
$50
$500
$0
$1,000
$0
$0
$0
$500
$500
$1,000
Taxes period 1
Consumption period 1
Income period 1
Taxes period 0
Consumption period 0
Income period 0
Parameters Income tax rate = 50% Consumption tax rate = 50% Interest rate = 10%
$550
$0
$550
$0
$100
$0
$0
$500
$0
$500
$1,000
$1,000
Ms. Ant
Mr. Grasshopper
Annual versus Lifetime Equity – A Formal Model
Ms. Ant
Mr. Grasshopper
tr(I0 – c0A)
r(I0 – c0A)
tI0
c0A
I0
Taxes period 1
Income period 1
Taxes period 0
Consumption period 0
Income period 0
Parameters Income tax rate = t Consumption tax rate = tc Interest rate = r
tr(I0 – c0G)
r(I0 – c0G)
tI0
c0G
I0
Income Tax
Annual versus Lifetime Equity – A Formal Model
Ms. Ant
Mr. Grasshopper
RcA = tcc0A + tcc1A/(1 + r) = tcI0
I0 = c0A + c1A/(1 + r)
Present Value of Lifetime Tax Liability
Present Value of Lifetime Income
Parameters Income tax rate = t Consumption tax rate = tc Interest rate = r
RcG = tcc0G + tcc1G/(1 + r) = tcI0
I0 = c0G + c1G/(1 + r)
Consumption Tax
How a Value-Added Tax Works
$200
$1,000
$3,050
$2,050
Total
10
50
1,000
950
Grocer
50
250
950
700
Baker
60
300
700
400
Miller
$ 80
$ 400
$400
$ 0
Farmer
VAT at 20 Percent Rate
Value Added
Sales
Purchases
Producer
Policy Perspective: President’s Advisory Panel on Federal Tax Reform
Simplified Income Tax (SIT)
Growth and Investment Tax (GIT)
Policy Perspective: President’s Advisory Panel on Federal Tax Reform
Common features
Eliminate individual and corporate alternative minimum tax
Replace standard deduction, personal exemption, earned income tax credit, and child tax credit with “Family Credit” and “Work Credit”
Replace mortgage interest deduction with mortgage tax credit
Reduce tax preference for employer-sponsored health insurance
eliminate deductibility of state and local taxes
Reduce number of tax brackets
Reduce maximum tax rate to 33% under SIT and 30% under GIT
Create savings plans (Save at Work, Save for Retirement, Save for Family)
GIT allows business to expense investments, lowers tax rates on business, and imposes single, low tax rate on dividends, interest and capital gains
CHAPTER 22
PUBLIC FINANCE IN A FEDERAL SYSTEM
Background
Federal system
Fiscal federalism
Centralization
Centralization ratio = Central government expenditures Total government expenditures
Community Formation
Club – voluntary association of people who band together to finance and share some benefit
Optimal Club (or community)
The Tiebout Model
Voting with your feet
Tiebout’s assumptions
Government activities generate no externalities
Individuals are completely mobile
People have perfect information with respect to each community’s public services and taxes
There are enough different communities so that each individual can find one with public services meeting her demands
The cost per unit of public services is constant so that if the quantity of public services doubles, the total cost also doubles
Public services are financed by a proportional property tax
Communities can enact exclusionary zoning laws—statutes that prohibit certain uses of land
Tiebout and the Real World
Critique of Tiebout
Empirical tests
Optimal Federalism
Macroeconomic functions
Microeconomic functions
Disadvantages of a Decentralized System
Efficiency issues
Externalities
local public good
Scale economies in provision of public goods
Inefficient tax systems
Scale economies in tax collection
Equity issues
Advantages of a Decentralized System
Tailoring outputs to local taxes
Fostering intergovernmental competition
Experimentation and information in locally provided goods and services
Implications
Purely decentralized systems cannot maximize social welfare
Dealing with community activities that create spillover effects that are not national in scope
Combine communities under a single regional government
Pigouvian taxes and subsidies
Division of responsibility in public good provision
Distributional goals and mobility
Public Education in a Federal System
Local control of schools
Financing education through property taxation
Federal role in education
Property Tax
How the property tax works
Assessed value
Assessment ratio
Source: US Bureau of the Census [2006, p. 301]
*Figures are for 2003.
Los Angeles
New York
Charlotte
Chicago
New Orleans
Atlanta
Detroit
%
Newark
Effective Tax Rate*
City
Residential Property Tax Rates (selected cities)
Incidence and Efficiency Effects – The Traditional View - Tax on Land
Acres of land
Rent per acre of land
SL
DL
P0L
DL’
PnL
PsL = P0L
Price received by landowners falls by amount of the tax
Incidence and Efficiency Effects – The Traditional View - Tax on Land
Tax capitalized into price of land
Land not fixed in supply
Incidence and Efficiency Effects – The Traditional View - Tax on Structures
Number of structures per year
Price per structure
SB
DB
P0B
DB’
PnL
PnB = P0B
B0
B1
PgB
Price paid by tenants increases by full amount of the tax
Summary and Implications of the Traditional View
Progressivity
Land tax
Structures tax
Empirical evidence
Measuring income
The New View: Property Tax as a Capital Tax
Partial equilibrium versus general equilibrium
General Tax effect
Excise Tax effects
Long-run effects
Property Tax as a User Fee
The notion of the incidence of the property tax is meaningless
The property tax creates no excess burden
Federal income tax subsidizes consumption of local public services for individuals who itemize
Oates [1969]
Reconciling the Three Views
New view: Eliminating all property taxes and replacing them with a national sales tax
Traditional view: Lowering property tax rate and making up revenue from local sales tax
User fee view: Taxes and benefits jointly changed and people are sufficiently mobile
Why Do People Hate the Property Tax So Much?
Property tax levied on estimated value
Property tax highly visible
Property tax perceived as being regressive
Circuit breakers
Property tax easier to attack
Ideas for Improving the Property Tax
Improve assessment procedures
Personal net worth tax
Intergovernmental Grants
Relation of federal grants-in-aid to federal and state-local expenditures (selected fiscal years)
Why Have Intergovernmental Grants Grown So Much?
Mismatch theory
Conditional (Categorical) Grants
G1
c1
E1
Units of public good (G) per year
Consumption (c) per year
A
B
Matching Grants
R
G2
c2
E2
Conditional (Categorical) Grants
G1
c1
E1
Units of public good (G) per year
Consumption (c) per year
A
B
Matching Closed-Ended Grants
R
G3
c3
E3
D
Conditional (Categorical) Grants
G1
c1
E1
Units of public good (G) per year
Consumption (c) per year
A
B
Nonmatching Grants
R
G2
c4
E4
H
J
Unconditional Grants
Revenue sharing
Measuring Need
Tax effort
The Flypaper Effect
Whose indifference curves?
Median voter theorem
Flypaper effect
Intergovernmental Grants for Education
Serrano v Priest [1971]
Foundation aid
District power equalization grants
Issues
Educational outcomes
Impact of centralized financing on voters’ support for public education
Callouts highlight real, per capital and relative values
Bar representing US slides along graph from left to right
Callouts showing decline in national defense and increase in social security, Medicare and income security
Callouts showing decline in highway spending and increase in public welfare spending
Brackets showing social insurance and individual taxes more important; corporate and other taxes less important
Brackets showing individual tax more important and property tax less important
First callout identifies intercept term. Second callout identifies slope term.
Box and dimensions initially set
1st click – place point v
2nd click – draw horizontal line uw
3rd click – draw vertical line xy
Box and dimensions initially set
1st click – Adam’s indifference curves
2nd click – Eve’s indifference curves
Box and dimensions initially set
1st click – “A Pareto efficient allocation” and arrow
Box and dimensions initially set
1st click – “A Pareto efficient allocation” and arrow
Box and dimensions initially set
1st click – Box with Pareto efficient and improvement within
Box and dimensions initially set
1st click –
Box and dimensions initially set
1st click – contract curve drawn from lower left to upper right and “The contract curve” and arrow appear
Axes and labels
1st click – PPC and labels
2nd click – lines x and w
3rd click – lines z and y
Each line wipes right after click
Box and dimensions initially set
1st click – contract curve drawn from lower left to upper right and “The contract curve” and arrow appear
Axes and labels
1st click – Utility possibilities curve, p3 and p5
2nd click - q
Axes and labels
1st click – the arrow (speed: medium) and “Increasing social welfare”
Axes, labels, and social indifference curves
1st click – utility possibilities curve and points
4
1st click – Excludable v Nonexcludable and all sub paragraphs
2nd click – Rival v Nonrival and all sub paragraphs
1st click - “Private goods”
2nd click - “Public goods”
3rd click - “Common resources”
4th click - “Natural monopoly”
1st click – Adam’s D curve
2nd click – Eve’s D curve
3rd click – sum of Adam and Eve at P = 11
4th click – sum of Adam and Eve at P = 9
5t click – sum of Adam and Eve at P = 7
6th click – sum of Adam and Eve at P = 5
7th click – sum of Adam and Eve at P = 3
8th clck – sum of Adam and Eve at P = 1
9th click - Market Demand curve and dashed horizontal lines disappear
10th click – Market Supply curve
1st click – Adam’s D curve
2nd click – Eve’s D curve
3rd click – sum of Adam and Eve at Q = 1
4th click – sum of Adam and Eve at Q = 2
5t click – sum of Adam and Eve at Q = 3
6th click – sum of Adam and Eve at Q = 4
7th click - Market Demand curve and dashed horizontal lines disappear
8th click – Market Supply curve
Axes and labels
1st click – MB
2nd click – MPC, Q1
3rd click – MD
4t click – MSC, Q*
Axes and labels
1st click – MB
2nd click – MPC, Q1
3rd click – MD
4t click – MSC, Q*
Axes and labels
1st click – MP shifts up to MPC + cd
2nd click – Pigouvian tax revenues box
Axes and labels
1st click – MP shifts up to MPC + cd
2nd click – dashed lines fi, hj, and hf
3rd click = Pigouvian subsidy
Axes and labels
1st click – MSB
2nd click – MC
3rd click – dashed line and e*
4th click – f* and brown horizontal line
axes and labels for both graphs
1st click – MCB and dashed vertical lines, MCH and dashed vertical black line
2nd click – horizontal dashed brown line and vertical dashed brown line
3rd click – dashed brown line and Bart’s dashed black line at 50 disappear
4th click – line at f = $50 wipes right
5th click – Bart’s tax payment
6th click – Homer’s tax payment
axes and labels for both graphs
1st click – MCB and dashed vertical lines, MCH and dashed vertical black line; horizontal dashed brown line and vertical dashed brown line
2nd click –
3rd click – dashed brown line and Bart’s dashed black line at 50 disappear
4th click – line at f = $50 wipes right
5th click – Bart’s tax payment
6th click – Homer’s tax payment
Axes and labels
1st click – MSB
2nd click – MC*
3rd click – MC’
4th click – f*
Axes and labels
1st click – MSB
2nd click – MC*
3rd click – MC’
4th click – f*
Axes and labels
1st click – MPB
2nd click – MC and R*
3rd click – MEB
4th click MSB and R1
box and labels
1st click – Adam’s D
2nd click – Eve’s D
3rh click – equilibrium r and S
axes and labels
1st click – Brad
2nd click – Jen
3rd click – Angelina
4th click – “Single-peaked preferences” and two arrows
5th click – “Double-peaked preferences” and curved arrow
Melanie votes for library if Rhett votes for hospital; and Rhett and Scarlet trade votes for the pool and library
Left box by 2nd level paragraphs
Right box by 2nd level paragraphs
Distribution and labels
1st click - Female politician locates on right
2nd click - Male politician locates directly to left of female
3rd click - female moves to left of male (but still to right of mean)
4th click - male politician moves just left of mean
Axes and labels
1st click – V schedule
2nd click – C schedule
3rd click – two tangents, dashed line, Q* and “Efficient Output” tag
4th click – dashed line, Qbc, “Actual output”
Axes, labels, D, MR, and S=MC
1st click - rents
Callout enters after click and pauses 2 seconds at e0, ep and x
one click per line
5 lines visible
1st click – 6th line
7th click – “Present Value”
8th click – “discount rate”
9th click ‘ discount rate arrow disappears, bracket appears, “discount factor”
1st click – left-hand side text line-by-line
2nd click - axes and labels, D, S, A, d, and g
3rd click – S’, A1
Axes and labels
1st click – Dm
2nd click – Sm,
3rd click - brown rectangle
4th click - .2P0
5th click - gray rectangle
6th click – deadweight loss triangle
7th click – “Flat-of-the-curve medicine”
$1741 maximum benefit
SSW = $16,000 billion
$16,000 * = $448 billion
$296 actually saved
60% reduction
Payroll tax reduces everyone’s incentive to acquire bequeathable wealth, but it has a disproportionate effect on low-earners
Conclusions based on simulated results so they are not especially strong conclusions
Photo of Ida Mae Fuller is from the Social Security web site
Ida Mae Fuller – first recipient of monthly Social Security Benefits; retired Nov. 4, 1939 and lived to 99. Collected $20,897 on a tax of $
Review General Concept of Social Welfare Function
Utilitarianism simply means W a function of people’s utility
Conventional Welfare Economics posits W = F(U1, U2, …, Un), but this so general it doesn’t tell us much
Utilitarians believed in additive welfare function, although W = F( ) is called a utilitarian welfare function
Only important consideration is the utility of the least well-off member. Society’s objective is to maximize the utility of the person with the least utility. This implies there should be complete equality except to the extent that departures from equality increase the welfare of the worst-off person. No inequality acceptable unless it works to the advantage of everyone.
Original position – “behind the veil of ignorance” – people will adopt maximin because of the insurance it gives against disastrous outcomes
Criticisms
Should decision made in original position have any special claim to ethical validity
Are people really that risk adverse?
It can lead to some weird outcome. “A new opportunity arises to raise the welfare of the least disadvantaged by a slight amount, but almost everyone else must be made substantially worse off, except for a few individuals who would become extremely wealthy.” Because all that is relevant is the welfare of the worst-off person, the maximin criterion indicates that society should take advantage of the opportunity
Assumption that utility depends on your income only implies that al redistribution must hurt at least one person so redistribution can never be a Pareto improvement. If we assume that utilities depend not only on their own income, but those of others, then redistribution can be a Pareto improvement.
Some argue specification of income distribution should be derived from a set of principles that are independent of people’s tastes. Nonutilitarian approach
Commodity Egalitarianism – James Tobin – certain types of commodities are so important that they should be distributed equally (less unequally than ability to pay for them) – basic necessities of life, health citizenship
the higher G, the higher t
higher G or lower t leads to a higher breakeven E which raises the costs of the system and includes more people
Tax Analysis – use of economic theory to analyze impact of taxes
Equity and Efficiency – how do taxes affect the distribution of income, how do taxes affect economic efficiency
Statutory Incidence - who is legally responsible for tax (who writes the check)
Economic Incidence – whose purchasing power is reduced by the tax
Tax Shifting – extent that statutory and economic incidence differ
Partial Equilibrium Models- look at a single market, appropriate when market for commodity is small relative to economy
Tax scheme depicted – Tax = *(Income - $3,000)
Unit Tax on Commodities
Consumer Pays $
Producer receives $
Tax on Consumers of $.40 per gallon
D curve shifts down – D curve perceived by supplier-amount of money the supplier will receive
Tax wedge – tax induced spread between price paid by consumer and price received by producer
Tax on Producers of $.40/gal
Draw new supply curve
Consumer Pays $
Producer receives $
Economic incidence independent of statutory incidence
1st box - shows that tax break reduces the interest rate S&L governments have to pay
2nd box – shows that cost of break to Treasury exceeds gain to S&L government
Each line enters separately with a mouse click.
Notes: clicking on the “Other dimensions …” link goes to a custom show on “Taxes and Human Capital Accumulation.” Finishing show automatically returns to this slide.
$100,000 investment
35% corporate tax rate
10 year tax life
straight-line depreciation
10% discount rate
$100,000 investment
35% corporate tax rate
5 year tax life
straight-line depreciation
10% discount rate
$100,000 investment
35% corporate tax rate
10 year tax life
double declining balance depreciation
10% discount rate
Lerner – generation is everyone alive at same time
Alternative – generation is everyone born at the same time
Each generation has equal number of people
Each lives 20 years
Each has fixed income of $12,000/year
Internal debt creates burden for future generations
OG model using generational accounting to evaluate impact of Government fiscal policies
Clicking on “Efficiency Considerations” goes to custom show showing PV of spending and taxing under alternative taxing/borrowing decisions
Clicking on “χ = ½εLt2” goes to custom show of graph of relationship between tax rate and excess burden
Table shows 3 ways to finance an extra 100 in spending in year 1.
Balanced budget – finance spending by raising 100 in taxes in year 1. PV of tax payments is 100
Deficit Finance I – finance by borrowing the 100 in year 1 and paying it back plus interest in year 2. In year 2 110 must be raised in taxes. PV of 110 in one year at 10% interest rate is 100
Deficit Finance II – finance by borrowing 100 in year 1 and never paying back the debt. In all subsequent years the interest on the debt must be paid so taxes must be raised 10 each year to do that. PV of 10 per year until the end of time is 100.
Axes and labels
1st click – curved solid line and dashed lines
Click returns to “To tax or borrow” slide