On the positive correlation between income inequality and unemployment

Several empirical studies in the literature have documented the existence of a positive correlation between income inequalitiy and unemployment. I provide a theoretical framework under which this correlation can be better understood. The analysis is based on a dynamic job search under uncertainty. I start by proving the uniqueness of a stationary distribution of wages in the economy. Drawing upon this distribution, I provide a general expression for the Gini coefficient of income inequality. The expression has the advantage of not requiring a particular specification of the distribution of wage offers. Next, I show how the Gini coefficient varies as a function of the parameters of the model, and how it can be expected to be positively correlated with the rate of unemployment. Two examples are offered. The first, of a technical nature, to show that the convergence of the measures implied by the underlying Markov process can fail in some cases. The second, to provide a quantitative assessment of the model and of the mechanism linking unemployment and inequality.

Towards a measure of income inequality freed from the volatility caused by variations in the rate of unemployment

By mixing together inequalities based on cyclical variables, such as unemployment, and on structural variables, such as education, usual measurements of income inequality add objects of a di§erent economic nature. Since jobs are not acquired or lost as fast as education or skills, this aggreagation leads to a loss of relavant economic information. Here I propose a di§erent procedure for the calculation of inequality. The procedure uses economic theory to construct an inequality measure of a long-run character, the calculation of which can be performed, though, with just one set of cross-sectional observations. Technically, the procedure is based on the uniqueness of the invariant distribution of wage o§ers in a job-search model. Workers should be pre-grouped by the distribution of wage o§ers they see, and only between-group inequalities should be considered. This construction incorporates the fact that the average wages of all workers in the same group tend to be equalized by the continuous turnover in the job market.

A search-theoretic explanation for the negative correlation between labor income and impatience

Lawrance (1991) has shown, through the estimation of consumption Euler equations, that subjective rates of impatience (time preference) in the U.S. are three to Öve percentage points higher for households with lower average labor incomes than for those with higher labor income. From a theoretical perspective, the sign of this correlation in a job-search model seems at Örst to be undetermined, since more impatient workers tend to accept wage o§ers that less impatient workers would not, thereby remaining less time unemployed. The main result of this paper is showing that, regardless of the existence of e§ects of opposite sign, and independently of the particular speciÖcations of the givens of the model, less impatient workers always end up, in the long run, with a higher average income. The result is based on the (unique) invariant Markov distribution of wages associated with the dynamic optimization problem solved by the consumers. An example is provided to illustrate the method.

The effects of longevity and distortions on education and retirement

This article studies the impact of longevity and taxation on life-cycle decisions and long-run income. Individuals allocate optimally their total lifetime between education, working and retirement. They also decide at each moment how much to save or consume out of their income, and after entering the labor market how to divide their time between labor and leisure. The model incorporates experience-earnings profiles and the return-to-education function that follows evidence from the labor literature. In this setup, increases in longevity raises the investment in education - time in school - and retirement. The model is calibrated to the U.S. and is able to reproduce observed schooling levels and the increase in retirement, as the evidence shows. Simulations show that a country equal to the U.S. but with 20% smaller longevity will be 25% poorer. In this economy, labor taxes have a strong impact on the per capita income, as it decreases labor effort, time at school and retirement age, in addition to the general equilibrium impact on physical capital. We conclude that life-cycle effects are relevant in analyzing the aggregate outcome of taxation.

Perspectivas de crescimento no longo prazo para o Brasil: questões em aberto

Este trabalho apresenta quatro questões que me parecem são importantes para entendermos a dinâmica futura de longo prazo da economia brasileira. São elas: 1) Os empecilhos à melhoria da qualidade da educação fundamental pública. O trabalho mostra que boa parcela do diferencial de renda entre o Brasil e o Estados Unidos deve-se ao diferencial de educação; 2) Sugere que o Brasil é uma Belindia demográfica: os estratos mais pobres da população têm mais filhos do que os ricos e o investimento em educação é menor. Sugere motivos pelos quais esta estratificação pode perdurar por muitas décadas, projetando para horizonte secular a melhora da distribuição de renda; 3) Temos que entender os motivos das economias latino-americanas terem sido economias produtivas até meados dos anos 70 e, desde então, apresentarem contínua redução da produtividade total dos fatores; 4) O crescimento econômico Chinês produzirá um período que, para o Brasil, será parecido com o último quartel do século XIX: uma região de crescimento rápido (a Europa e hoje a China) e relativamente pobre em recursos naturais impulsiona o crescimento da América Latina, que se especializa na produção de produtos primários.

Inflation and income inequality: A link through the job-search process

In this paper I devise a new channel by means of which the (empirically documented) positive correlation between ináation and income inequality can be understood. Available empirical evidence reveals that ináation increases wage dispersion. For this reason, the higher the ináation rate, the higher turns out to be the beneÖt, for a worker, of making additional draws from the distribution of wages, before deciding whether to accept or reject a job o§er. Assuming that some workers have less access to information (wage o§ers) than others, I show that the Gini coe¢ cient of income distribution turns out to be an increasing function of the wage dispersion and, consequently, of the rate of ináation. Two examples are provided to illustrate the mechanism.

Retornos em educação no Brasil: 1976/1986

As taxas de retorno pessoais dos investimentos em educação no Brasil são calculadas com base nos dados das PNADs, utilizando-se metodologia desenvolvida por Mincer (1974). As principais conclusões são: (i) os retornos em educação estão elevadíssimos, ao redor de 15% reais ao ano; (ii) os retornos em educação estão-se elevando ao longo do período estudado o que sinaliza que a distribuição de renda deve ter piorado; (iii) os aumentos das taxas de retorno em educação ocorreram de maneira mais incisiva sobrecursos secundários e superior, um agravante ainda maior para a distribuição de renda, já que são as faixas de rendas mais elevadas; (iv) as taxas de retorno mais elevadas são, atualmente, do secundário e do primário iniciante (1.ª a 4.ª séries); (v) o primário avançado, (5.ª a 8.ª séries, o antigo ginásio) apresenta retornos substancialmente menores que os outros níveis.

Income inequality: the role of impatience in a job-search process

This paper investigates the income inequality generated by a jobsearch process when di§erent cohorts of homogeneous workers are allowed to have di§erent degrees of impatience. Using the fact the average wage under the invariant Markovian distribution is a decreasing function of the time preference (Cysne (2004)), I show that the Lorenz curve and the between-cohort Gini coe¢ cient of income inequality can be easily derived in this case. An example with arbitrary measures regarding the wage o§ers and the distribution of time preferences among cohorts provides some quantitative insights into how much income inequality can be generated, and into how it varies as a function of the probability of unemployment and of the probability that the worker does not Önd a job o§er each period.