The impact of social security reform on occupational and retirement behavior : a quantitative assessment for Brazil

Population ageing is a problem that countries will have to cope with within a few years. How would changes in the social security system affect individual behaviour? We develop a multi-sectoral life-cycle model with both retirement and occupational choices to evaluate what are the macroeconomic impacts of social security reforms. We calibrate the model to match 2011 Brazilian economy and perform a counterfactual exercise of the long-run impacts of a recently adopted reform. In 2013, the Brazilian government approximated the two segregated social security schemes, imposing a ceiling on public pensions. In the benchmark equilibrium, our modelling economy is able to reproduce the early retirement claiming, the agents' stationary distribution among sectors, as well as the social security deficit and the public job application decision. In the counterfactual exercise, we find a significant reduction of 55\% in the social security deficit, an increase of 1.94\% in capital-to-output ratio, with both output and capital growing, a delay in retirement claims of public workers and a modification in the structure of agents applying to the public sector job.

Revisiting the synthetic control estimator

The synthetic control (SC) method has been recently proposed as an alternative to estimate treatment effects in comparative case studies. The SC relies on the assumption that there is a weighted average of the control units that reconstruct the potential outcome of the treated unit in the absence of treatment. If these weights were known, then one could estimate the counterfactual for the treated unit using this weighted average. With these weights, the SC would provide an unbiased estimator for the treatment effect even if selection into treatment is correlated with the unobserved heterogeneity. In this paper, we revisit the SC method in a linear factor model where the SC weights are considered nuisance parameters that are estimated to construct the SC estimator. We show that, when the number of control units is fixed, the estimated SC weights will generally not converge to the weights that reconstruct the factor loadings of the treated unit, even when the number of pre-intervention periods goes to infinity. As a consequence, the SC estimator will be asymptotically biased if treatment assignment is correlated with the unobserved heterogeneity. The asymptotic bias only vanishes when the variance of the idiosyncratic error goes to zero. We suggest a slight modification in the SC method that guarantees that the SC estimator is asymptotically unbiased and has a lower asymptotic variance than the difference-in-differences (DID) estimator when the DID identification assumption is satisfied. If the DID assumption is not satisfied, then both estimators would be asymptotically biased, and it would not be possible to rank them in terms of their asymptotic bias.

Economic growth and complementarity between stages of human capital

We study the impact of the different stages of human capital accumulation on the evolution of labor productivity in a model calibrated to the U.S. from 1961 to 2008. We add early childhood education to a standard continuous time life cycle economy and assume complementarity between educational stages. There are three sectors in the model: the goods sector, the early childhood sector and the formal education sector. Agents are homogenous and choose the intensity of preschool education, how long to stay in formal school, labor effort and consumption, and there are exogenous distortions to these four decisions. The model matches the data very well and closely reproduces the paths of schooling, hours worked, relative prices and GDP. We find that the reduction in distortions to early education in the period was large and made a very strong contribution to human capital accumulation. However, due to general equilibrium effects of labor market taxation, marginal modification in the incentives for early education in 2008 had a smaller impact than those for formal education. This is because the former do not decisively affect the decision to join the labor market, while the latter do. Without labor taxation, incentives for preschool are significantly stronger.