Three essays on education from the perspective of the economics of public setor

This work consists of three essays organized into chapters that seek to answer questions at first sight unrelated, but with one common denominator, which is the scarcity of public resources devoted to education, overall, especially in lower education. . The first chapter deals with the scarcity of resources devoted to education in a context of population aging. Two hypotheses were tested for Brazilian municipalities on the relationship between the aging of the population and educational expenditure. The first, already proven in the literature, is that there is an intergenerational conflict for resources and the increase of the share of elderly in the population reduces the educational expenditure. The second, proposed here for the first time, is that there should be reduction of competition for resources if there is a relationship of co-residence between young and old. The results indicated that an increase in the share of elderly reduces the educational expenditure per youth. But the results also illustrate that an increase in the share of elderly co-residing with youth (family arrangement more common in Latin American countries) raises the educational expenditure, which reflects a reduction of competition for resources between generations. The second chapter assesses the allocative efficiency of investments in Higher Education. Using the difference between first-year and last-year students’ scores from Enade aggregated by HEI as a product in the Stochastic Production Function, is possible to contribute with a new element in the literature aimed at estimating the production function of education. The results show that characteristics of institutions are the variables that best explain the performance of students, and that public institutions are more inefficient than the private ones. Finally, the third chapter presents evidence that the allocation of public resources in early childhood education is important for a better future school performance. In this chapter was calculated the effects of early childhood education on literacy scores of children attending the 2nd grade of elementary school. The results using OLS and propensity score matching show that students who started school at the ages to 5, 4, and 3 years had literacy scores between 12.22 and 19.54 points higher than the scores of those who began school at the ages 6 years or late. The results also suggest that the returns in terms of literacy scores diminish in relation to the number of years of early childhood education.

Affine processes, arbitrage-Free Term structures of legendre polynomials,and option pricing

Multivariate Affine term structure models have been increasingly used for pricing derivatives in fixed income markets. In these models, uncertainty of the term structure is driven by a state vector, while the short rate is an affine function of this vector. The model is characterized by a specific form for the stochastic differential equation (SDE) for the evolution of the state vector. This SDE presents restrictions on its drift term which rule out arbitrages in the market. In this paper we solve the following inverse problem: Suppose the term structure of interest rates is modeled by a linear combination of Legendre polynomials with random coefficients. Is there any SDE for these coefficients which rules out arbitrages? This problem is of particular empirical interest because the Legendre model is an example of factor model with clear interpretation for each factor, in which regards movements of the term structure. Moreover, the Affine structure of the Legendre model implies knowledge of its conditional characteristic function. From the econometric perspective, we propose arbitrage-free Legendre models to describe the evolution of the term structure. From the pricing perspective, we follow Duffie et al. (2000) in exploring Legendre conditional characteristic functions to obtain a computational tractable method to price fixed income derivatives. Closing the article, the empirical section presents precise evidence on the reward of implementing arbitrage-free parametric term structure models: The ability of obtaining a good approximation for the state vector by simply using cross sectional data.

A USAID e a educação brasileira: um estudo a partir de uma abordagem crítica da teoria do capital humano

1\ guisa de uma fundarrentação teórica, procura esta dissertação, desmistificar tcx:1a uma noção de neutralidade conceitual do capital desenvolvida em função de una visão ideol~izada da economia da educação. A critica a este preconceito procurou se respaldar nos argumentos de autoridade dos classicos da economia; igualrrente, tenta desideologi zar a noção de capital humano, cujo desenvolvirrento é irrpropriarcente ~ tribuido à função da educação; e finaJ..nente, dirrensiona-a, no cont:exto prÕprio do ideário capitalista. Procura dem::mstrar que a ajuda proporcionada pela USAID ao processo educacional brasileiro era mais uma tentativa de garantir o lucro dos capitais investidos no Brasil, na rredida em que o aparelho ~ ducativo produzisse um contigente de mão de obra eficientemente capaz' de implerrentar o novo mcx:1elo econômico, implantado a partir de 1964. Olestiona a rrodernização do subsistema de ensino rrédio, considerado em função do "efeito derronstração" das Escolas polivalentes , que buscava adaptar o aparelho escolar ã racionalidade da empresa, na rredida em que, assim, internalizava, no alunaCio, pela profissionalização precoce, os valores capitalistas da competição e do lucro, COItO va leres universais. Discute a EPEM e o PREMEN como organismos criados para impl~ rrentar a transformação do subsistema de ensino nédio. Análisa as Confe rências de Educação e questiona o ideário da Escola Polivalente, identificando- o como contraditório e inconsistente para o modelo de sociedade sob o modo de produção capitalista, conforme é proposto pelo atual sistema de governo no Brasil. O seu conteúdo pretende atingir a profissionais de educação' em geral, e mais especificamente aos interessados em economia da educação,sociologia da educação e estudos sociais.

Microfounded forecasting

Our focus is on information in expectation surveys that can now be built on thousands (or millions) of respondents on an almost continuous-time basis (big data) and in continuous macroeconomic surveys with a limited number of respondents. We show that, under standard microeconomic and econometric techniques, survey forecasts are an affine function of the conditional expectation of the target variable. This is true whether or not the survey respondent knows the data-generating process (DGP) of the target variable or the econometrician knows the respondents individual loss function. If the econometrician has a mean-squared-error risk function, we show that asymptotically efficient forecasts of the target variable can be built using Hansens (Econometrica, 1982) generalized method of moments in a panel-data context, when N and T diverge or when T diverges with N xed. Sequential asymptotic results are obtained using Phillips and Moon s (Econometrica, 1999) framework. Possible extensions are also discussed.

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.