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.

Brazilian equity mutual funds: A general outlook based on performance

This dissertation main goal is to overview the Brazilian equity mutual funds returns. We find that active management is not effective for Ibovespa index, since Ibovespa active funds do not outperform the Ibovespa referenced funds. However, for IBrX index, active management do outperform the passive strategy. We found that Sustainable funds returns do not outperform the market, Endowment funds show poor performance, which could indicate strong regulation imposition over endowment funds portfolios. The size of a fund shows positive correlation to mean average returns and alphas. A fund’s lifetime is positively correlated to returns and to alphas, which could be related to more risk-taking by younger managers in order to pursue higher expected returns and, consequently, bigger inflows. Younger funds tend to have lower performance probably because, in taking more risks, they do not perform as expected. In addition, we find that the decreasing trend of the alpha evolution along the time is a sign of the industry decreasing returns of scale, which entails that managers have more difficulties to beat the market portfolio. Top 10s rankings show that funds appear more than once on the top 10s, which shows persistence of funds’ performance. Finally, concerning the deciles and quartiles rankings, the frequency of appearances changes among performance measures. There are measures which, when compared to others, strongly change the top and bottom for the decile and quartile members.