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Dynamic Analysis, Welfare, and
Implications for Tax Reform
Jason Furman
Chairman, Council of Economic Advisers

National Bureau of Economic Research Tax Policy and the Economy Conference
Washington, DC
September 22, 2016

Dynamic Analysis is Not Welfare Analysis: Efficiency Issues
Illustrative Welfare Analysis of a Reduction in Labor Taxes
(Assuming a Representative Worker to Whom Tax Revenues Are Rebated Lump Sum)
Baseline
(30% Labor Tax)

Social Benefit (Change in Output)
Hourly Wage
Hours Worked per Week
Output per Week
Change in Output
Social Cost (Change in Value of Leisure)
Hourly Value of Leisure
Leisure Hours per Week
Value of Leisure per Week
Change in Value of Leisure
Net Social Benefits

Alternative
(20% Labor Tax)

20
40
800

20
45
900
100

15
80
1,200

15
75
1,125
-75
25

Source: CEA calculations.
1

Dynamic Analysis is Not Welfare Analysis: Distributional Issues

Illustrative Welfare Analysis of Changes in the Distribution of Income

Individual Incomes
Person 1
Person 2
Person 3
Aggregate Welfare
Mean Income
Mean Log Income
Mean CRRA Transformation of Income with θ = 21

Percent
Change

Baseline

Alternative

100
200
10,000

85
195
10,500

-15.0
-2.5
5.0

3,433
6.37
0.99

3,593
6.32
0.99

4.7
-0.7
-0.1

Source: CEA calculations.
1
CRRA refers to the constant relative risk aversion functional form: (y^(1-θ)-1)/(1-θ).

2

An Illustrative Application: Replacing Labor Taxes with
Lump-Sum Taxes
• Baseline policy is proportional 25% income tax, no
exemptions
• Policy change cuts labor income tax to 22.5% and collects a
$900 per family lump-sum tax
• Aggregate economic impacts based on Mankiw-Weinzierl
Ramsey model and parameters
• Microsimulation using 2010 IRS Public Use File

3

Representative Agent Results

• Before-tax income up 1%
• Consumption-equivalent utility up 0.5%
• Taxes unchanged, but a 12% dynamic offset

4

Distributional Results
Economic Effects of Shifting from a Hypothetical 25% Proportional Income Tax
to a 22.5% Labor Income Tax, 25% Capital Income Tax, and $900 Lump-Sum Tax

Income Class

Bottom Quintile
Second Quintile
Middle Quintile
Fourth Quintile
Top Quintile
All

Percent of
Families

Static
Percent Change in
Tax Income
Without
Financing

Dynamic
After-

With Financing

Percent Change Percent Change
in Pre-Tax
in After-Tax
Income
Income

Percent Change in
Utility
(Consumption
Equivalent)1

20.0
20.0
20.0
20.0
20.0

2.9
2.7
2.5
2.4
2.3

-12.3
-3.2
-0.9
0.3
1.4

1.0
0.9
0.8
0.8
0.9

-11.4
-2.3
-0.1
1.1
2.3

-22.4
-2.9
-0.6
0.7
1.8

100.0

2.3

0.3

0.9

1.1

-4.7

Source: CEA calculations.
Note: Aggregate economic impacts are computed using the macroeconomic model of Mankiw and Weinzierl (2004, 2006). Values for individual
families are assumed to change by the same percentage as the aggregate values. The distribution of income is derived from the 2010 IRS Statistics of
Income Public Use File. See text for additional details.
1
At the family level, the consumption equivalent utility increase is the percent change in consumption (assuming labor supply remains unchanged at
the baseline level) that would yield the utility level realized in the alternative policy scenario. Percent change for an income class is the simple
average of the percent change across families. Utility is computed as log(after-tax income) - n^(1+1/σ), where n is the value of labor supply generated
by the Mankiw-Weinzierl model (assuming an isoelastic specification of labor disutility).

5

Winners/Losers Analysis
Economic Effects of Shifting from a Hypothetical 25%
Proportional Income Tax to a 22.5% Labor Income Tax, 25%
Capital Income Tax, and $900 Lump-Sum Tax
Percent
with
Increase

Percent
with
Decrease

Static
After-Tax Income

36.3

63.7

Dynamic
Taxes
Pre-Tax Income
Leisure
After-Tax Income
Utility1

67.3
96.4
0.0
46.2
40.8

32.7
0.0
87.7
53.8
59.2

Source: CEA calculations.
Note: Aggregate economic impacts are computed using the
macroeconomic model of Mankiw and Weinzierl (2004,
2006). Values for individual families are assumed to change
by the same percentage as the aggregate values. The
distribution of income is derived from the 2010 IRS Statistics
of Income Public Use File. See text for additional details.
1
Utility is computed as log(after-tax income) - n^(1+1/σ),
where n is the value of labor supply generated by the
Mankiw-Weinzierl model (assuming an isoelastic
specification of labor disutility).
6

Aggregate Presentation
Economic Effects of Shifting from a Hypothetical 25% Proportional Income Tax
to a 22.5% Labor Income Tax, 25% Capital Income Tax, and $900 Lump-Sum Tax
Baseline
(25% Flat Tax)

Income
Mean Pre-Tax Income
Mean After-Tax Income
Log After-Tax Income
Welfare
Mean Consumption Equivalent Utility Increase1
Mean Utility
Mean Log of (Utility + 1)
Mean CRRA Transformation of (Utility + 1) with θ = 22

Alternative
(22.5% Labor Tax
+ $900 Lump Sum)

63,122
50,221
10.2

63,690
50,788
10.1

10.00
2.39
0.91

9.89
2.36
0.90

Percent
Change

0.9
1.1
-1.0

-4.7

Source: CEA calculations.
Note: Aggregate economic impacts are computed using the macroeconomic model of Mankiw and Weinzierl (2004, 2006).
Values for individual families are assumed to change by the same percentage as the aggregate values. The distribution of income
is derived from the 2010 IRS Statistics of Income Public Use File. Utility is computed as log(after-tax income) - n^(1+1/σ), where
n is the value of labor supply generated by the Mankiw-Weinzierl model (assuming an isoelastic specification of labor disutility).
See text for additional details.
1

At the family level, the consumption equivalent utility increase is the percent change in consumption (assuming labor supply
remains unchanged at the baseline level) that would yield the utility level realized in the alternative policy scenario.
2
CRRA refers to the constant relative risk aversion functional form: (u^(1-θ)-1)/(1-θ).
7

Implications for Real Tax Reform: Growth
Select Estimates of the Effect of Tax Reform on the Level of Output
Source

Policy Change

Treasury (2006b)

President's Advisory Panel on Tax Reform
Simplified Income Tax
Growth and Investment Tax
Progressive Consumption Tax

Treasury (2006a)

Altig et al. (2001)

Short-Run

0.0 - 0.4
0.1 - 1.9
0.2 - 2.3

Long-Run

0.2 - 0.9
1.4 - 4.8
1.9 - 6.0

Permanent Extension of the 2001/2003 Tax Cuts
Financed with Future Spending Cuts
Financed with Future Tax Increases

0.5
0.8

0.7
(0.9)

Stylized Revenue-Neutral Tax Reforms
Proportional Consumption Tax
Flat Tax with Transition Relief

6.3
0.5

9.4
1.9

n.r. = Not reported. Red indicates negative values.
Note: Output measure is (in order of preference if multiple measures are reported) national income, real gross
national product, and real gross domestic product. Time period for short-run effects varies across studies, but
(in most cases) is an average over several years in the first decade. Long-run effects typically reflect estimates
of the change in the steady state level of output.

8

Implications for Real Tax Reform: Distribution
Change in After-Tax Income due to Changes in Average Tax Rates by Income Percentile, 1986
to 2013

Income Percentile

0-20
20-40
40-60
60-80
80-90
90-95
95-99
99-100

Net of Tax Rate, Net of Tax Rate,
Percent Change
1986
2013

90.7
85.5
81.9
79.4
77.2
76.5
76.3
75.3

96.7
91.6
87.2
83.0
79.3
77.0
73.7
66.0

6.6
7.1
6.5
4.5
2.7
0.7
-3.4
-12.4

Source: CBO (2016); CEA calculations.
Note: Net of tax rate is 100 minus the average tax rate. Change in after-tax income due to
changes in average tax rate is the percent change in the net of tax rate.

9

Conclusion
1. Growth is not the same as welfare.
2. Many tax reforms generate their growth effects through
reductions in the consumption of non-market goods (e.g.,
leisure) or through tax increases on more moderate-income
workers.
3. When analyzing a change in tax policy, the traditional, static
distribution table is often the most useful information for
evaluating its welfare impacts.

10

Dynamic Analysis, Welfare, and
Implications for Tax Reform
Jason Furman
Chairman, Council of Economic Advisers

National Bureau of Economic Research Tax Policy and the Economy Conference
Washington, DC
September 22, 2016