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Fiscal Reform and Government Debt in Japan:A Neoclassical Perspective
Gary Hansen and Selo Imrohoroglu
UCLA Economics USC Marshall School
June 1, 2012
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 1 / 33
Basic Issue
Japan faces two significant challenges
High debt to output ratioAging population
Projected Inreases in Government Expenditures
View issue through lens of neoclassical growth model.
How big is the problem and what are the consequences of possiblesolutions?
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 2 / 33
Two Significant challenges faced by Japan1. High Debt
1980 1985 1990 1995 2000 2005 20100.1
0.2
0.3
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0.5
0.6
0.7
0.8
0.9
1
1.1Net Debt to GNP Ratio
Figure 1. Net Debt to GNP Ratio
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 3 / 33
Two Significant challenges faced by Japan2. Aging Population
2010 2020 2030 2040 2050 2060 2070 2080 2090 21000.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Dependency Ratios
65+ to 216470+ to 2069
Figure 2. Dependency Ratios
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 4 / 33
Two Significant challenges faced by JapanImplications of the Aging Population: Fukawa and Sato (2009)
1980 1990 2000 2010 2020 2030 2040 2050 2060 2070 2080
0.1
0.15
0.2
0.25Government Purchases to GNP Ratio
1980 1990 2000 2010 2020 2030 2040 2050 2060 2070 2080
0.1
0.15
0.2
0.25Transfer Payments to GNP Ratio
Figure 3. Government Expenditures toGNP Ratio
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 5 / 33
What We DoUse Hayashi and Prescott (2002)
1 Measure the size of fiscal adjustment needed2 Calculate the effects of two alternative fiscal policies designed toachieve fiscal balance
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 6 / 33
Methodology
Economic actors know the future, including futures changes ingovernment policy.
Exogenous: total factor productivity, tax rates, government spending,transfer payments, and population levels.
Actual values for 1981-2008, forecasts (Fukawa and Sato (2009)) after.
Model determines: Output, hours, investment, consumption, capitalstock, interest rates, and government debt.
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 7 / 33
More on What We Do
Implement a debt sustainability rule. Once an ad hoc threshold isreached, debt is reduced toward assumed long run level.
Compute required revenue to reduce debt given projected governmentexpenditures.
Compute two alternative fiscal policy transitions
Consumption taxLabor income tax
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 8 / 33
Why These Alternative Policies
The policies considered are not "optimal" policies. We are motivated bytwo considerations:
1 Politically there is likely an incentive to put off any reform as long aspossible. This is why we use a debt to output trigger.
2 We focus on consumption and labor income tax rates because of theirsimplicity. Further research should explore things like increasing theretirement age, other reforms of entitlement programs, encouragingimmigration, encourage female labor supply, etc.
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 9 / 33
Main Findings
Very large additional revenues needed to finance the projectedincreases in government expenditures due to aging
About 30% of aggregate consumption each year
If the government uses the consumption tax to finance the expectedburden due to aging, then the consumption tax rate needs to increasefrom its current level of 5% to about 35%.
If the labor income tax is used, then the tax rate will nearly doublefrom its current level of 30% to about 60%.
The welfare cost of using the labor income tax is 3.22% ofconsumption, which is more than twice that of using the consumptiontax to restore fiscal balance.
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 10 / 33
Model
Endogenous:
Hours worked (ht ), per capita consumption (Ct ), output (Yt ), thestock of capital (Kt+1), tax revenues, government debt (Bt+1), andthe price of government bonds, (qt ), from 1981 into the infinite future
Population: Nt+1 = ηtNt .
Exogenous:
Tax rates τh,t , τk ,t , τb,t , τc ,tGovernment purchases GtTransfer payments TRtWorking age population NtTFP At ,
Use actual time series 1981-2008; forecasts and assumptions for 2009and beyond.
Eventually, the tax rates, Gt/Yt ,TRt/Yt , growth rates of Nt and Atare all constant; economy converges to a balanced growth path.
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 11 / 33
Revenue Required to Stablilize DebtGovernment
Budget Constraint:
Gt + TRt + Bt = ηtqtBt+1 + τc ,tCt + τh,tWtht (1)
+τk ,t (rt − δ)Kt + τb,t (1− qt−1)Bt .
Debt Sustainability Rule:
Dt = κιt (Bt − B t ),
ιt =
{1 if Bs/Ys ≥ bmax for some s ≤ t,0 otherwise
Replace TRt with TR∗t = TRt −Dt
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 12 / 33
CalibrationTax Rates
Tax rate on Capital Income: Updated version of Hayashi and Prescott(2002)
Tax Rate on Labor Income: Updated version of Mendoza, Razin, andTesar(1994)
Tax Rate on Consumption:
0% 1981-19883% 1989-19965% 1997-2008
For 2009 and beyond, we assume that tax rates are constant at their2008 levels.
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 13 / 33
CalibrationTax Rates
1980 1985 1990 1995 2000 2005 20100
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5Tax Rates
Consumption Tax RateLabor Income Tax RateCapital Income Tax Rate
Figure 4. Tax Rates
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 14 / 33
CalibrationTFP, Population Growth Rates, Expenditure Ratios
Actual Values used for 1981-2009Table 3. Calibration of TFP and Population Growth Rates
1981− 2009 2010− 2050 2051−∞γt Actual Values 1.02(1−θ) 1.02(1−θ)
ηt Actual Values Government Projections 1.0
Projections by Fukawa and Sato (2009)Table 4. Calibration of G/Y and TR/Y
1981− 2009 2010− 2050 2051−∞G/Y Actual Values linear increase from 0.198 to 0.238 0.238TR/Y Actual Values linear increase from 0.148 to 0.188 0.188
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 15 / 33
CalibrationTFP, Population Growth Rates, Expenditure Ratios
1980 2000 2020 2040 2060 208050
60
70
80
90WorkingAge Population
1980 2000 2020 2040 2060 2080100
150
200
250
300TFP (Normalized)
1980 2000 2020 2040 2060 2080
0.1
0.15
0.2
0.25Government Purchases to GNP Ratio
1980 2000 2020 2040 2060 2080
0.1
0.15
0.2
0.25Transfer Payments to GNP Ratio
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 16 / 33
CalibrationParameters for Fiscal Balance:
κ, bmax, and b
ιt =
{1 if Bs/Ys ≥ bmax for some s ≤ t,0 otherwise
Dt = κιt (Bt − B t ),
For the debt to output ratio along the balanced growth path, b, weuse a value of 60%.
For bmax, the debt to output ratio that triggers tax increases, we used150% and 200%.
For κ, see next slide.
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 17 / 33
CalibrationRevenue Requirements:
bmax = 150%
1980 1990 2000 2010 2020 2030 2040 2050 2060 2070 20800
0.1
0.2
0.3
0.4
0.5
Consumption Tax Equivalent Revenue Requirement, (B/Y)m ax
= 1.5
κ = 0.15κ = 0.2κ = 0.25
1980 1990 2000 2010 2020 2030 2040 2050 2060 2070 20800
0.5
1
1.5
2
2.5
3
Debt to GNP Ratio, (B /Y) m ax = 1.5
Figure 6. Revenue Requirement
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 18 / 33
CalibrationRevenue Requirements:
bmax = 200%
1980 1990 2000 2010 2020 2030 2040 2050 2060 2070 20800
0.1
0.2
0.3
0.4
0.5
Consumption Tax Equivalent Revenue Requirement, (B/Y)m ax
= 2
1980 1990 2000 2010 2020 2030 2040 2050 2060 2070 20800
0.5
1
1.5
2
2.5
3
Debt to GNP Ratio, (B /Y) m ax = 2
κ = 0.1κ = 0.15κ = 0.2
Figure 7. Revenue Requirement
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 19 / 33
Quantitative FindingsBenchmark Results
1980 1985 1990 1995 2000 2005 20100.25
0.3
0.35
0.4Hours Worked
DataModel
1980 1985 1990 1995 2000 2005 20100.5
1
1.5x 10 6 Capital Stock
1980 1985 1990 1995 2000 2005 20102
3
4
5
6x 10 5 GNP
Figure 10. Capital, Labor and Output
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 20 / 33
Quantitative FindingsBenchmark Results
1980 1985 1990 1995 2000 2005 20101.5
2
2.5
3
3.5x 10 5 Consumption
DataModel
1980 1985 1990 1995 2000 2005 20100.5
1
1.5x 10 5 Investment
1980 1985 1990 1995 2000 2005 20101.5
2
2.5
3Capital Output Ratio
Figure 11. Consumption, Investment, andCapital-Output Ratio
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 21 / 33
Quantitative FindingsBenchmark Results
1980 1985 1990 1995 2000 2005 20100.92
0.94
0.96
0.98
1Bond Price
DataModel
1980 1985 1990 1995 2000 2005 20100
0.2
0.4
0.6
0.8
1Debt to Output Ratio
Figure 12. Bond Price and Debt to GNPRatio
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 22 / 33
Using a Distorting Tax Instead of Lumpsum Reduction inTransfersTransition Policy
Fiscal policy is assumed to follow
τx ,t =
τx ,2009 if Bs/Ys ≤ bmax for all s ≤ tτx + π if Bs/Ys > bmax for some s ≤ t and Bt/Yt > bτx if Bt/Yt ≤ b.
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 23 / 33
Using a Distorting Tax Instead of a Lumpsum TaxConsumption Tax
1980 2000 2020 2040 2060 2080 21000
0.05
0.1
0.15
0.2
0.25
0.3
0.35Consumption Tax Rate
Figure 13. Consumption Tax Rate
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 24 / 33
Using a Distorting Tax Instead of a Lumpsum TaxLabor Income Tax
1980 2000 2020 2040 2060 2080 2100 21200.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55
0.6
0.65Labor Income Tax Rate
Figure 14. Labor Income Tax Rate
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 25 / 33
TransitionComparison
1980 2000 2020 2040 2060 2080 2100 21200.1
0.2
0.3
0.4
0.5Hours Worked
1980 2000 2020 2040 2060 2080 2100 21200
2
4
6x 10 6 Capital S tock
Lumpsum TaxConsumption TaxLabor Income Tax
1980 2000 2020 2040 2060 2080 2100 21200
1
2
3x 10 6 GNP
Figure 15. Labor, Capital, and Output
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 26 / 33
TransitionComparison
1980 2000 2020 2040 2060 2080 2100 21200
2
4
6
8
10
12x 10 5 Consumption
Lumpsum TaxConsumption TaxLabor Income Tax
1980 2000 2020 2040 2060 2080 2100 21200
1
2
3
4
5
6x 10 5 Investment
Figure 16. Consumption and Investment
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 27 / 33
TransitionEffective Tax Rates
(1− τ) = (1− τh)/(1+ τc ) which implies τ = (τc + τh)/(1+ τh)
1980 2000 2020 2040 2060 2080 21000.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55
0.6
0.65Effective Tax Rate
Labor Income Tax AdjustsConsumption Tax Adjusts
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 28 / 33
TransitionDebt to GNP
1980 2000 2020 2040 2060 2080 2100 21200
0.5
1
1.5
2
2.5
3Bond to GNP Ratio
Lumpsum TaxConsumption TaxLabor Income Tax
Figure 17. Debt to GNP Ratios
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 29 / 33
TransitionOutput Effects
1980 2000 2020 2040 2060 2080 2100 21200.4
0.2
0
0.2
0.4
Out
put L
oss
Consumption TaxLabor Income Tax
Figure 18. Output Effects
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 30 / 33
Welfare Costs
What percentage decrease in consumption each period would givesomeone in the benchmark (lump sum tax) economy the same lifetimeutility as someone living in an economy where increases in theconsumption tax or labor tax is used to achieve fiscal stability?
λc = 1.41%
λh = 3.22%
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 31 / 33
ConclusionsThis Paper
Fiscal day of reckoning is soon—2017-2022.
A nearly PERMANENT increase in consumption tax rate of about 30percent.
A nearly PERMANENT increase in labor income tax rate of about 30percent.
Gary Hansen and Selo Imrohoroglu (UCLA Economics USC Marshall School)Fiscal Policy and Debt 06/01/2012 32 / 33