scholarly journals POSTPONING RETIREMENT AND SOCIAL SECURITY IN A TWO-SECTOR MODEL

2021 ◽  
pp. 1-19
Author(s):  
PARTHA SEN
Keyword(s):  
Steady State ◽  
Social Security ◽  
Capital Accumulation ◽  
Overlapping Generations ◽  
Retirement Age ◽  
Overlapping Generations Model ◽  
Payroll Tax ◽  
Tax Rate ◽  
Sector Model ◽  
State Capital

Pay-as-you-go social security schemes in the Organisation for Economic Co-operation and Development countries are facing solvency problems, as people are living longer and birth rates have declined. Postponing the full retirement age (FRA), when retirees are entitled to full pension, has been proposed as a solution. This effectively lowers the payroll tax rate since pension is paid only in the post-FRA period. In a two-period two-sector overlapping generations model, I show that this shift lowers savings (because a part of the expected old-age income is consumed in the first period), as employment increases. In the transition to the new steady state, capital is decumulated and the wage rate falls. Contrast this with a reduction of the payroll tax rate where the initial old suffer reduced consumption, but the young have higher post-tax income and this spurs capital accumulation.

scholarly journals Pay-as-You-Go Social Security and Educational Subsidy in an Overlapping Generations Model with Endogenous Fertility and Endogenous Retirement

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Hung-Ju Chen ◽  
Koichi Miyazaki
Keyword(s):  
Growth Rate ◽  
Social Security ◽  
Labor Productivity ◽  
Overlapping Generations ◽  
Fertility Rate ◽  
Gdp Per Capita ◽  
Tax Rates ◽  
Overlapping Generations Model ◽  
Tax Rate ◽  
Per Capita

Abstract This study analytically investigates the effects of pay-as-you-go social security and educational subsidies on the fertility rate, retirement age, and GDP per capita growth rate in an overlapping generations model, where parents invest resources toward their children’s human capital. We find that an old agent retires fully when his or her labor productivity is low and retires later when the labor productivity is high. Under the unique balanced-growth-path (BGP) equilibrium, when an old agent is still engaged in work, tax rates are neutral to the fertility rate, higher tax rates encourage him or her to retire earlier, a higher social security tax rate depresses the GDP per capita growth rate, and a higher tax rate for educational subsidies can accelerate growth. However, when an old agent fully retires, higher tax rates increase the fertility rate, a higher social security tax rate lowers the GDP per capita growth rate, and a higher tax rate for educational subsidies boosts growth. Additionally, if an old agent’s labor productivity increases, the fertility rate also increases. We also conduct numerical simulations and analyze how an old agent’s labor productivity affects the retirement age, fertility rate, and GDP per capita growth rate under the BGP equilibrium.

Fertility and labor supply of the old with pay-as-you-go pension and child allowances

2017 ◽  
Vol 18 (1) ◽  
Author(s):  
Hung-Ju Chen ◽  
Koichi Miyazaki
Keyword(s):  
Social Security ◽  
Labor Supply ◽  
Overlapping Generations ◽  
Fertility Rate ◽  
Tax Rates ◽  
Overlapping Generations Model ◽  
Tax Rate ◽  
The Social ◽  
Child Allowances ◽  
The Interest Rate

Abstract We investigate the effects of pay-as-you-go pension and child allowances on fertility, labor supply of the old, and welfare. For this purpose, we analyze a small open overlapping-generations model in which fertility and an old agent’s labor supply (retirement time) are endogenized with pay-as-you-go pension and child allowances. We find that how the pay-as-you-go pension tax rate affects the fertility rate depends on whether an old agent retires. When an old agent fully retires, then the size of the interest rate and fertility rate determine the effect of the pay-as-you-go pension tax rate on the fertility rate. When an old agent works, the pay-as-you-go pension tax rate certainly reduces the fertility rate. In addition, how child allowances affect the fertility rate depends on whether an old agent works. If an old agent retires fully, then an increase in the child allowance tax rate increases the fertility rate. When an old agent works, this is not necessarily true, which suggests that an old agent’s labor status should be taken into account when we evaluate the effects of the social security system on economic variables. In addition, we examine the effect of the social security tax rates on welfare and provide numerical examples.

Transitioning to a higher retirement age with exponential and quasi-hyperbolic discounters in mixed economies

2020 ◽  
Author(s):  
Sarah Lynne Salvador Daway-Ducanes
Keyword(s):  
Overlapping Generations ◽  
Hyperbolic Discounting ◽  
Welfare Effects ◽  
Retirement Age ◽  
Tax Rate ◽  
Welfare Impacts ◽  
The Social ◽  
Welfare Implications ◽  
Pension Benefits ◽  
Exponential Discounting

Abstract This paper analyses the macroeconomic and welfare effects of a higher retirement age within a dynamic overlapping generations framework, wherein exponential discounting and sophisticated quasi-hyperbolic discounting agents coexist in ‘mixed economies’. The transitional dynamics of economic aggregates depend on the proportion of QHD agents, and the extent to which reducing the social security tax rate mitigates crowding-out effects on savings and enables both lower pension contributions and higher pension benefits. Welfare impacts across agent types and cohorts differ accordingly: QHD agents employ the higher retirement age as a commitment mechanism to mitigate the adverse welfare implications of present-biasedness.

scholarly journals INHERITED TASTES AND ENDOGENOUS LONGEVITY

2017 ◽  
Vol 23 (2) ◽  
pp. 674-698 ◽  
Author(s):  
Luciano Fanti ◽  
Luca Gori ◽  
Cristiana Mammana ◽  
Elisabetta Michetti
Keyword(s):  
Steady State ◽  
Overlapping Generations ◽  
Standard Of Living ◽  
Poverty Trap ◽  
Individual State ◽  
State Of Health ◽  
Tax Rate ◽  
Public Investments ◽  
The Individual ◽  
Endogenous Longevity

This article aims at studying a general equilibrium model with overlapping generations that incorporates inherited tastes (aspirations) and endogenous longevity. The existence of standard-of-living aspirations transmitted between two subsequent generations in a context where the individual state of health depends on public investments in health has some remarkable consequences at the macroeconomic level. First, aspirations allow escaping from the well-known poverty trap scenario described by Chakraborty (2004). Second, the steady-state equilibrium may be destabilized through a super-critical Neimark–Sacker bifurcation when the health tax rate is set at too high or too low a level. This causes endogenous fluctuations in income and longevity.

scholarly journals The impact of green preferences on the relevance of history versus expectations

2019 ◽  
Vol 24 (6) ◽  
pp. 583-607
Author(s):  
Andreas Schaefer ◽  
Anna Stünzi
Keyword(s):  
Steady State ◽  
Overlapping Generations ◽  
Clean Energy ◽  
Environmental Policies ◽  
Stable Steady State ◽  
Overlapping Generations Model ◽  
Environmental Preferences ◽  
Energy Taxes ◽  
Energy Tax ◽  
The Impact

AbstractIn an overlapping generations model with multiple steady states, we analyse the impact of endogenous environmental policies on the relevance of history and expectations for the equilibrium selection. In a polluting regime, environmental preferences cause an increasing energy tax which raises the risk that the economy transitions to the inferior equilibrium under pessimistic expectations. However, higher environmental preferences imply an earlier switch to the clean energy regime. Then, the conflict between production and environmental preferences is resolved and the prospects of selecting the superior equilibrium improve, since positive expectations become more relevant. In an empirical analysis we find that people with environmental preferences tend to have more optimistic expectations about economic development. Using these findings to analyse the steady-state dynamics implies that agents with environmental preferences support higher energy taxes and switch to clean production more quickly. Due to their optimism, the likelihood of reaching the superior stable steady state increases.

scholarly journals AUTOMATION, STAGNATION, AND THE IMPLICATIONS OF A ROBOT TAX

2020 ◽  
pp. 1-32 ◽  
Author(s):  
Emanuel Gasteiger ◽  
Klaus Prettner
Keyword(s):  
Steady State ◽  
Economic Impact ◽  
Technological Progress ◽  
Overlapping Generations ◽  
Investment Decisions ◽  
Cautionary Tale ◽  
Overlapping Generations Model ◽  
Long Run ◽  
Per Capita ◽  
Capita Output

We assess the long-run growth effects of automation in the overlapping generations framework. Although automation implies constant returns to capital and, thus, an AK production side of the economy, positive long-run growth does not emerge. The reason is that automation suppresses wage income, which is the only source of investment in the overlapping generations model. Our result stands in sharp contrast to the representative agent setting with automation, where sustained long-run growth is possible even without technological progress. Our analysis therefore provides a cautionary tale that the underlying modeling structure of saving/investment decisions matters for the derived economic impact of automation. In addition, we show that a robot tax has the potential to raise per capita output and welfare at the steady state. However, it cannot induce a takeoff toward positive long-run growth.

scholarly journals ENVIRONMENTAL POLICY, EDUCATION AND GROWTH: A REAPPRAISAL WHEN LIFETIME IS FINITE

2011 ◽  
Vol 16 (5) ◽  
pp. 661-685 ◽  
Author(s):  
Xavier Pautrel
Keyword(s):  
Human Capital ◽  
Environmental Policy ◽  
Capital Accumulation ◽  
Overlapping Generations ◽  
Monetary Economics ◽  
Physical Capital ◽  
Positive Influence ◽  
Overlapping Generations Model ◽  
Final Output ◽  
Source Of Pollution

When finite lifetime is introduced in a Lucas [Journal of Monetary Economics 22 (1988), 3–42] growth model where the source of pollution is physical capital, the environmental policy may enhance the growth rate of a market economy, whereas pollution does not influence educational activities, labor supply is not elastic, and human capital does not enter the utility function. The result arises from the generational turnover effect due to finite lifetime and it remains valid under conditions when the education sector uses final output as well as time to accumulate human capital. This article also demonstrates that ageing reduces the positive influence of environmental policy when growth is driven by human capital accumulation à la Lucas in the overlapping-generations model of Yaari [Review of Economic Studies 32 (1965), 137–150] and Blanchard [Journal of Political Economy 93 (1985), 223–247].

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