Capital Accumulation in a Stochastic Overlapping Generations Model with Social Security

2002 ◽  
Vol 106 (1) ◽  
pp. 201-216 ◽  
Author(s):  
Nils Hauenschild
2021 ◽  
pp. 1-19
Author(s):  
PARTHA SEN

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.


2011 ◽  
Vol 16 (5) ◽  
pp. 661-685 ◽  
Author(s):  
Xavier Pautrel

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].


2021 ◽  
Vol 67 (1) ◽  
pp. 1-12
Author(s):  
Fatma Safi

Abstract The present paper presents a standard overlapping generations model with external habits formation and environmental quality in the utility function. Our main objective is to study the impact of external habits on capital accumulation and environmental quality on the intertemporal competitive equilibrium. We notice that striving for status leads to environment worsening and capital increasing when the cohort size is large.


2021 ◽  
Vol 66 (231) ◽  
pp. 59-97
Author(s):  
Houyem Chekki Cherni

This paper presents a prospective analysis to guide effective pension reform. Using an overlapping generations model with differing returns on free savings and compulsory returns on funded pensions, we put into perspective the results largely supported in the economic literature that assume that replacing a pay-as-you-go pension scheme by funded plans boosts economic growth. We show that this reform is not necessarily synonymous with economic growth due to a crowding-out effect. Our contribution is not limited to theoretical results: we also assess the impacts empirically. Thus, we extend the theoretical model to take into account several periods and 55 generations. Simulation results, using a dynamic overlapping generations computable general equilibrium model calibrated for the Tunisian case, indicate that whether pension reform promotes capital accumulation and economic growth depends on the rate of return on funded pension savings relative to free savings.


2016 ◽  
Vol 16 (4) ◽  
pp. 554-583
Author(s):  
BEN J. HEIJDRA ◽  
JOCHEN O. MIERAU ◽  
TIMO TRIMBORN

AbstractWe study the short-, medium-, and long-run implications of stimulating annuity markets in a dynamic general-equilibrium overlapping-generations model. We find that beneficial partial-equilibrium effects of stimulating annuity markets are counteracted by negative general-equilibrium repercussions. Balancing the positive partial-equilibrium and negative general-equilibrium forces we show that there exists an intermediate level of annuitization such that the lifetime utility of steady-state agents is maximized. Studying the transition to this optimal degree of annuitization shows that currently middle-aged individuals stand to gain most from the stimulation of annuity markets. Complementing our main analysis, we highlight the centrality of the interplay between human-capital accumulation and annuity market policy.


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