Inada conditions imply that production function must be asymptotically Cobb-Douglas

We show that every twice-continuously differentiable and strictly concave function f : R+ → R+ can be bracketed between two C.E.S. functions at each open interval. In particular, for the Inada conditions to hold, a production function must be asymptotically Cobb-Douglas.

Testing production functions used in empirical growth studies

We estimate and test two alternative functional forms, which have been used in the growth literature, representing the aggregate production function for a panel of countries: the model of Mankiw, Romer and Weil (Quarterly Journal of Economics, 1992), and a mincerian formulation of schooling-returns to skills. Estimation is performed using instrumental-variable techniques, and both functional forms are confronted using a Box-Cox test, since human capital inputs enter in levels in the mincerian specification and in logs in the extended neoclassical growth model.

Testing production functions used in empirical growth studies

We estimate and test two alternative functional forms representing the aggregate production function for a panel of countries: the extended neoclassical growth model, and a mincerian formulation of schooling-returns to skills. Estimation is performed using instrumentalvariable techniques, and both functional forms are confronted using a Box-Cox test, since human capital inputs enter in levels in the mincerian specification and in logs in the extended neoclassical growth model. Our evidence rejects the extended neoclassical growth model in favor of the mincerian specification, with an estimated capital share of about 42%, a marginal return to education of about 7.5% per year, and an estimated productivity growth of about 1.4% per year. Differences in productivity cannot be disregarded as an explanation of why output per worker varies so much across countries: a variance decomposition exercise shows that productivity alone explains 54% of the variation in output per worker across countries.

A note on policy, the composition of public expenditures and economic growth

In this article we study the growth and welfare effects of fiscal and monetary policies in economies where public investment is part of the productive process we present four different models that share the same technology with public infrastructure as a separate argument of the production function. We show that growth is maximized at positive levels of income tax and inflation. However, unless there are no transfers or public goods in the economy, maximization of growth does not imply welfare maximization we show that the optimal tax rate is greater than the rate that maximizes growth and the optimal rate of money creation is below the growth maximizing rate. With public infrastructure in the production function we no longer obtain superneutrality in the Sidrausky model.

The implications of embodiment and Putty-Clay to economic development

In this paper we construct and analyze a growth model with the following three ingredients. (i) Technological progress is embodied. (ii) The production function of a firm is such that the firm makes both technology upgrade as well as capital and labor decisions. (iii) The firm’s production technology is putty-clay. We assume that there are disincentives to the accumulation of capital, resulting in a divergence between the social and the private cost of investment. We solve a single firm’s problem in this environment. Then we determine general equilibrium prices of capital goods of different vintages. Using these prices we aggregate firms’ decisions and construct the theoretical analogues of National Income statistics. This generates a relationship between disincentives and per capita incomes. We analyze this relationship and show the quantitative and qualitative roles of embodiment and putty-clay. We also show how the model is taken to data, quantified and used to determine to what extent income gaps across countries can be attributed to disincentives.

Testing the externalities hypothesis of endogenous growth using cointegration

The initial endogenous growth models emphasized the importance of externaI effects in explaining sustainable growth across time. Empirically, this hypothesis can be confirmed if the coefficient of physical capital per hour is unity in the aggregate production function. Although cross-section results concur with theory, previous estimates using time series data rejected this hypothesis, showing a small coefficient far from unity. It seems that the problem lies not with the theory but with the techniques employed, which are unable to capture low frequency movements in high frequency data. This paper uses cointegration - a technique designed to capture the existence of long-run relationships in multivariate time series - to test the externalities hypothesis of endogenous growth. The results confirm the theory' and conform to previous cross-section estimates. We show that there is long-run proportionality between output per hour and a measure of capital per hour. U sing this result, we confmn the hypothesis that the implied Solow residual can be explained by government expenditures on infra-structure, which suggests a supply side role for government affecting productivity and a decrease on the extent that the Solow residual explains the variation of output.

The impact of public capital and public investment on economic growth: an empirical investigation

in this anicle we measure the impact of public sector capital and investment on economic growth. Initially, traditional growth accounting regressions are run for a cross-country data set. A simple endogenous growth model is then constructed in order to take into account the determinants of labor, private capital and public capital. In both cases, public capital is a separate argument of the production function. An additional data-set constructed with quarterly American data was used in the estimations of the growth mode!. The results indicate lhat public capital and public investment play a significant role in determining growth rates and have a significant impact on capital and labor returns. Furthermore, the impact of public investment on productivity growth was found to be positive and always significant for bolh samples. Hence. in a fully optimizing modelo we confmn previous results in the literature that lhe failure of public investment to keep pace with output growlh during the Seventies and Eighties may have played a major role in the slowdown of lhe productivity growth in the period. Anolher main outcome concems the output elasticity wilh respect to public capital. The coefficiem estimates are always positive and significant but magnitudes depend on each of lhe two data set used.

Growth, increasing returns, and public infrastructure : time series evidence

Initial endogenous growth models emphasized the importance of external effects and increasing retums in explaining growth. Empirically, this hypothesis can be confumed if the coefficient of physical capital per hour is unity in the aggregate production function. Previous estimates using time series data rejected this hypothesis, although cross-country estimates did nol The problem lies with the techniques employed, which are unable to capture low-frequency movements of high-frequency data. Using cointegration, new time series evidence confum the theory and conform to cross-country evidence. The implied Solow residual, which takes into account externaI effects to aggregate capital, has its behavior analyzed. The hypothesis that it is explained by government expenditures on infrasttucture is confIrmed. This suggests a supply-side role for government affecting productivity.

Public expenditures taxation and welfare measurement

this article addresses the welfare and macroeconomics effects of fiscal policy in a frarnework where govemment chooses tax rates and the distribution of revenues between consumption and investment. We construct and simulate a model where public consumption affects individuaIs' utility and public capital is an argument of the production function. The simulations suggest that by simply reallocating expenditures from consumption to investment, the govemment can increase the equilibrium leveIs of capital stock, hours worked, output and labor productivity. Funhennore, we 'show that the magnitude and direction of the long run impact of fiscal policy depends on the size of the elasticity of output to public capital. If this parameter is high enough, it may be the case that capital stock, within limits, increases with tax rates.

Vintage capital, distortions and development

This paper asks to what extent distortions to the adoption of new technology cause income inequality across nations. We work in the framework of embodied technological progress with an individual, C.E.S. production function. We estimate the parameters of this production function from international data and calibrate the model, using U.S. National Income statistics. Our analysis suggests that distortions account for a bigger portion of income inequality than hitherto has been assessed.

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.

On the evolution of TFP in Latin America

Due to several policy distortions, including import-substitution industrialization, widespread government intervention and both domestic and international competitive barriers, there has been a general presumption that Latin America has been much less productive than the leading economies in the last decades. In this paper we show, however, that until the late seventies Latin American countries had high productivity levels relative to the United States. It is only after the late seventies that we observe a fast decrease of relative TFP in Latin America. We also show that the inclusion of human capital in the production function makes a crucial diference in the TFP calculations for Latin America.

Uma estimativa da função de produção no setor sucroalcooleiro utilizando microdados de custo

Produtividade é frequentemente calculada pela aproximação da função de produção Cobb-Douglas. Tal estimativa, no entanto, pode sofrer de simultaneidade e viés de seleção dos insumos. Olley e Pakes (1996) introduziu um método semi-paramétrico que nos permite estimar os parâmetros da função de produção de forma consistente e, assim, obter medidas de produtividade confiável, controlando tais problemas de viés. Este estudo aplica este método em uma empresa do setor sucroalcooleiro e utiliza o comando opreg do Stata com a finalidade de estimar a função produção, descrevendo a intuição econômica por trás dos resultados.

Alocação de recursos financeiros e a função de produção escolar

Sabe-se que o Brasil enfrenta um de seus maiores desafios no campo educacional. Projetos educacionais como o Programa Jovem de Futuro do Instituto Unibanco permitem uma investigação minuciosa a respeito de pressupostos amplamente estudados no meio acadêmico. A partir do apoio técnico em gestão e do incentivo financeiro das escolas atendidas pelo Programa pretende-se melhorar o rendimento escolar dos alunos em matemática e língua portuguesa. Com foco nas escolas de São Paulo e Rio de Janeiro participantes do Programa entre 2010 e 2012, é possível verificar impactos médios significativos no rendimento escolar das escolas participantes, com exceção do grupo de escolas de São Paulo - Capital. A alocação de recurso financeiro pelos diretores das escolas permite uma associação com a função de produção escolar. Partindo-se da hipótese de que essa função teria como insumos as categorias atribuídas pela escola no que se refere a Gestão Escolar (infraestrutura), Incentivo Professor (bonificações e premiações aos professores) e Incentivo Aluno (bonificações e premiações aos alunos) pode-se estudar o comportamento do rendimento obtido em função dos insumos empregados. A análise da alocação indicou que a variável de Investimento no Incentivo Aluno é significativo para explicar o rendimento escolar pelos exames aplicados pelo Instituto Unibanco para o ano corrente. Quando analisado o efeito do investimento acumulado no tempo, a categoria de gestão escolar se mostrou significativo para explicar o rendimento obtido pelos exames aplicados pelo Instituto Unibanco. Os diretores das escolas parecem que conhecem a função de produção escolar e sabem que investimentos na categoria de Gestão Escolar (infraestrutura) dão resultado no longo prazo, enquanto que investimentos no Incentivo Aluno apresentam mais resultado no curto prazo.

On the evolution of TFP in Latin America

Due to several policy distortions, including import-substitution industrialization, widespread government intervention and both domestic and international competitive barriers, there has been a general presumption that Latin America has been much less productive than the leading economies in the last decades. In this paper we show, however, that until the late seventies Latin American countries had high productivity levels relative to the United States. It is only after the late seventies that we observe a fast decrease of relative TFP in Latin America. We also show that the inclusion of human capital in the production function makes a crucial difference in the TFP calculations for Latin America.