Social security, public education and the growth-inequality relationship

We study how the relationship between economic growth and inequality depends upon the levels of funding of two of the largest government programs, public education and social security. We do this in the context of an overlapping generations economy with heterogeneous agents where the government collects a tax on labor income to finance these programs. We show that in our model an increase in government spending on social security reduces income inequality and can have a non-monotonic effect on growth. When the initial level of social security funding is low, as is the case in most poor economies, then its increase will enhance growth. When its funding level is high as is typical for developed countries, we show that its further increase can slow down growth while reducing income inequality. These results obtain regardless of whether the increase in social security funding is financed by a tax increase or by cutting the public education budget. We also find that the effects of increasing the level of public education expenditures or the overall size of the government budget (holding the budget composition fixed) are characterized by similar non-monotonic growth-inequality relationships.     

公共教育、社会保障与收入分布

本文使用一个世代交叠模型揭示了公共教育与社会保障调节收入分布的作用机制。研究发现,公共教育能够有效地缩小家庭教育投资差距,从而降低收入差异;社会保障则通过减少低收入家庭的劳动供给、增加其有效家庭教育时间来降低收入差异。本文的数值模拟结果显示,在同样的支出水平下公共教育调节收入差异的能力比社会保障更强。并且当存在财政预算约束时,从降低收入差异的角度来看,若财政预算规模较低则应当将资金优先用于公共教育;若财政预算规模较高则应当在公共教育与社会保障之间保持平衡。     

Higher Education: Subsidizing Tuition versus Subsidizing Student Loans

We use a simple two‐period equilibrium framework to explore the effects of two different subsidization regimes for higher education on the formation of human capital and on the distribution of incomes. Individuals finance their investments in higher education through income‐contingent education loans as well as subsidies from the government. The subsidy is tax‐financed. We compare an egalitarian subsidy scheme, which reduces by a uniform amount the tuition charged to students, with a student loan subsidy which is proportional to the student's debt service obligation. We show that both types of subsidies reduce the economy‐wide underinvestment in higher education and lead to a more equal income distribution. Furthermore, according to some social welfare criterion, the student loan subsidy regime dominates the tuition subsidy regime if the subsidy level is predetermined, while the converse is true if the subsidy level constitutes a choice variable of the government.     

公共支出范围:分析与界定

本文建立一个新的理论假设 :政府存在的天然合理性在于防范和化解公共风险 (在不同历史条件下 ,其表现形式不同 ) ,并以此为逻辑起点 ,提出了两个基本观点 :一是公共风险决定公共支出 ;二是公共支出的使命是防范和化解公共风险。在此基础上 ,本文构筑了界定公共支出范围的两种基本方法———风险归宿分析法和反向假设分析法。     

Public Expenditures,Growth, and Distribution in a Mixed Regime of Education with a Status Motive

This paper tackles the issue of growth, distribution, and the provision of public services in a growth model with human capital accumulation where heterogeneous individuals decide whether to attend a publicly funded education regime or a privately funded one. Heterogeneity of individuals is introduced via their status‐motivation which is shown to affect their choice of education. In such a framework, we obtain an inverted‐U shaped relationship between growth and the size of the public education sector. In contrast with the general wisdom, we show that a larger public education sector is compatible with both a reduction of inequalities and an increase of long‐term growth. Although we demonstrate that in a majoritarian system all individuals agree on a lower size of the public education regime than that which maximizes growth, our analysis also highlights the tension between the direct beneficiaries and nonbeneficiaries from the public regime.     

Public Investment and Economic Growth in Latin America: an Empirical Test

The paper analyzes the impact on economic growth of public investment spending and other relevant variables (such as human capital) for nine major Latin American nations over the 1983–93 period. The results suggest that both public and private investment spending contribute to economic growth. Overall central government consumption expenditures, on the other hand, are found to have a negative effect on private investment and growth. Finally, public expenditures on education and healthcare are found to have a positive and statistically significant effect on private capital formation and long–term economic growth. From a policy standpoint, the results suggest that indiscriminate cuts in public and private investment spending are likely to be counterproductive in the long run, and more importantly, scarce public expenditures should be channeled to the promotion of new human capital (via primary and secondary education) and the maintenance of existing human capital (through healthcare expenditures).     

Factor-biased public capital and private capital crowding out

This paper studies the dynamic effects of public investment on private capital accumulation in a general equilibrium macroeconomic model of a small open economy with factor-biased public capital. I show that public investment induces rather complex private capital dynamics—falling in the short and in the long run, but potentially increasing along transition—if public capital augments private capital and private inputs are gross complements in production. Whether private investment is crowded in or out during transition critically depends on parameters that are empirically hard to measure, such as the labor supply elasticity and the elasticity of substitution between private inputs—a small increase in the latter from 0.5 to 0.6, for instance, turns a totally negative transitional effect into a predominantly positive one. These results help rationalize the lack of empirical consensus on the relationship between public and private investment.     

Does the diversity of human capital increase GDP? A comparison of education systems

This paper examines how different education systems affect GDP by influencing the diversity of human capital. We construct an overlapping generation model in which agents are heterogeneous in income and innate ability, and the final goods are produced with differentiated intermediate goods. It is shown that under a realistic condition, the diversity of human capital induced by income inequality always lowers the GDP of the next period, while the diversity of human capital induced by heterogeneous ability can increase GDP, if the produced intermediate goods are sufficiently substitutable and firms have a large span of control. Hence, as public education equalizes education resources across households, it mitigates the negative effect of income inequality on GDP, while the effects of ability tracking crucially depend on the production structure of the economy.     

On government-created credit markets for education and endogenous growth

Interest in public loans to fund (higher) education has been increasing in the last decades. This paper explores the general welfare properties of government-created credit markets for education in a three-period overlapping generations model with physical and human capital. It shows that the mere existence of public credit markets is second-best in nature, and cannot decentralize the optimum. Achieving the first-best “Golden Rule” balanced growth path requires a government loan system that lends the amounts required for optimal investments in education and an optimally chosen pure pay-as-you-go social security system. Student loans and pensions thus appear as two inseparable elements of the policy that maximizes social welfare.     

Public overspending in higher education

We study the trade-off between governmental investments in pretertiary and tertiary education from an efficiency point of view. We develop a model comprising agents with different incomes and abilities, public and private schools, and public universities that select applicants based on an admission exam. Reallocating governmental resources from tertiary to pretertiary education may positively affect aggregate production and human capital if some conditions are satisfied. For instance, in an economy with a high proportion of credit-constrained students, a reallocation of expenditure toward public schools benefits many students, compensating for the negative effect of a decrease in public university investments. We also quantitatively investigate the optimal allocation of public investment between pretertiary and tertiary education, and we find that a 10% increase in productivity of public investments in pretertiary education could increase the optimal GDP between 2.1% and 3%.     

家庭借贷约束、公共教育支出与社会流动性

人力资本投资是增强社会流动性的重要手段,然而借贷约束使得底层家庭无力对子女进行最优的人力资本投资;与此同时,富裕家庭则不受借贷约束的影响,总体结果是社会流动性减弱。利用中国健康与养老追踪调查和全国综合社会调查数据,本文发现,借贷约束确实提高了居民收入和教育的代际传递弹性,降低了社会流动性。在匹配政府公共教育支出数据后发现,公共教育支出可以缓解家庭层面人力资本投资的不足,提高教育水平的代际流动性。     

Environmental Quality,Public Debt and Economic Development

This article analyzes the consequences on capital accumulation and environmental quality of environmental policies financed by public debt. A public sector of pollution abatement is financed by a tax or by public debt. We show that if the initial capital stock is high enough, the economy monotonically converges to a long-run steady state. On the contrary, when the initial capital stock is low, the economy is relegated to an environmental poverty trap. We also explore the implications of public policies on the trap and on the long-run stable steady state. In particular, we find that government should decrease debt and increase pollution abatement to promote capital accumulation and environmental quality at the stable long-run steady state. Finally, a welfare analysis shows that there exists a level of public debt that allows a long run steady state to be optimal.     

政府公共资本投资的长期经济增长效应

本文首先建立一个包含政府公共资本投资的两部门内生增长模型,并把公共资本投资分为政府物质资本投资和人力资本投资,从而对公共资本投资的长期经济增长效应进行理论分析。结论是,两种形式的公共资本投资对长期经济增长都可能具有正效应也可能具有负效应,取决于民间经济主体消费跨时替代弹性大小。其次,我们利用向量自回归分析框架,对我国1978—2004年间公共资本投资对长期经济增长的影响作实证分析。结论是,我国两种形式的公共资本投资与经济增长之间存在着长期均衡关系,其中政府公共物质资本投资对长期经济增长的正影响更为显著,而政府公共人力资本投资对长期经济增长的正影响较小,且在短期内不利于经济增长。这一结论对我国今后科学制定财政政策和选择公共投资领域都具有重要意义。     

完善公共财政制度逐步实现公共服务均等化

本文论述了目前我国政府在提供教育、公共卫生、社会保障和社会福利等公共服务方面的缺位问题,分析了提供公共服务不足的体制性原因,即基层财政的财力与事权不相匹配,探讨了地区公共服务水平差距扩大的重要原因,即财政转移支付制度本身存在缺陷.在此基础上,提出改革建议:完善财政体制,规范转移支付制度,试行纵向转移与横向转移相结合的模式,逐步取消税收返还,将其并入一般转移支付形式,科学界定专项转移的标准,控制其准入的条件和规模,完善转移支付的法制化建设.     

Ability, Education, and Income Inequality

A model of education where the distribution of abilities is the source of heterogeneity is investigated. Ability is a key determinant of human capital accumulated when young, which in turn determines income and its distribution. The assumption of heterogeneous abilities leads to steady‐state income distributions that exhibit income inequality. Of particular interest is the result that symmetric distributions of ability generate positively skewed income distributions. Models of private and public education are analyzed and compared. It is found that private education results in higher incomes and less income inequality than observed in the public education model.     

A model of the optimal allocation of government expenditures

Government expenditures can be used for various socioeconomic objectives, including public education, consumption of public goods and services, and social protection. This paper analyzes the optimal allocation of public expenditures among these competing functions. We establish an overlapping generations model with heterogeneous individuals in which the government optimally chooses income tax, transfer payment, educational spending, and public consumption. Our model characterizes the transitional dynamics and the steady state of each function with and without a pay‐as‐you‐go intergenerational contract. We also conduct a simulation illustrating that the presence of an intergenerational contract may raise public consumption and social welfare in the steady state.     

Public capital,sustainable debt and endogenous growth

We analyze an endogenous growth model with public capital and public debt where we posit that the primary surplus of the government is a positive function of cumulated past debt with an exponentially declining weight put on debt further back in time. We consider two scenarios: first, we study the model assuming that the government runs a balanced budget and, then, we compare the outcome to that of the model with permanent deficits. We analyze growth effects of the two scenarios and we study how fiscal policy of the government affects the dynamics of the model economy. It is demonstrated that the balanced growth rate is higher when cumulated past public debt is smaller. Further, we show that the debt policy of the government crucially determines the dynamics of the model economy and that endogenous growth cycles can arise.     

Cheap home goods and persistent inequality

There exists a large literature which shows that public education is favorable for growth because it increases the level of human capital and at the same time it tends to produce a more even income distribution. More egalitarian societies are also associated with less social conflicts, and individuals have a lower tendency to report themselves happy when inequality is high. Therefore, it is important to study the reasons why the elite opposes the development of a strong public education system. It might be that education is related to social status and a strong public education system might threaten the elite’s political power. We show that one aspect of social status is the specialization of skilled workers in high-paid jobs and the abundance of unskilled workers in the production of cheap “home goods” in the market, such as painting and cleaning a house, babysitting, and/or cooking. We emphasize the role of general equilibrium price adjustments to show that depending on the level of inequality, the elite might prefer an economy with a positive and “high” cost of education than an economy where skills are freely provided. We show that this result goes through even if the skilled wage is not directly affected by the ratio of skilled to unskilled workers. We also provide empirical evidence consistent with our theory.     

Child policy ineffectiveness in an overlapping generations small open economy with human capital accumulation and public education

Motivated by the recent decrease in the number of children experienced in several developed countries, in this paper we consider a small open economy model with overlapping generations, endogenous fertility and human capital formation through public education, and look at the role the government can play in affecting fertility through the widely used child allowance policy. Contrary to conventional view, we show that the public provision of child allowances is fertility-neutral in the long run, that is it is not effective as a pro-natalist policy, while also reducing human capital accumulation. In contrast, the financing of the public education system is beneficial to both fertility and human capital. These results hold in the cases of both fixed and time cost of children.     

The Intergenerational State Education and Pensions

When credit markets to finance investment in human capital are missing, the competitive equilibrium allocation is inefficient. When generations overlap, this failure can be mitigated by properly designed social arrangements. We show that public financing of education and public pensions can be designed to implement an intergenerational transfer scheme supporting the complete market allocation. Neither the public financing of education nor the pension scheme we consider resemble standard ones. In our mechanism, via the public education system, the young borrow from the middle aged to invest in human capital. They pay back the debt via a social security tax, the proceedings of which finance pension payments. When the complete market allocation is achieved, the rate of return implicit in this borrowing–lending scheme should equal the market rate of return.