Optimal taxation with gradual learning of types

An important feature of life-cycle models is the presence of uncertainty regarding one’s labor income. Yet this issue, long recognized in different areas, has not received enough attention in the optimal taxation literature. This paper is an attempt to fill this gap. We write a simple 3 period model where agents gradually learn their productivities. In a framework akin to Mirrlees’ (1971) static one, we derive properties of optimal tax schedules and show that: i) if preferences are (weakly) separable, uniform taxation of goods is optimal, ii) if they are (strongly) separable capital income is to rate than others forms of investiment.

On the optimality of the Friedman Rule with heterogeneous agents and non-linear income taxation

We study the optimal “inflation tax” in an environment with heterogeneous agents and non-linear income taxes. We first derive the general conditions needed for the optimality of the Friedman rule in this setup. These general conditions are distinct in nature and more easily interpretable than those obtained in the literature with a representative agent and linear taxation. We then study two standard monetary specifications and derive their implications for the optimality of the Friedman rule. For the shopping-time model the Friedman rule is optimal with essentially no restrictions on preferences or transaction technologies. For the cash-credit model the Friedman rule is optimal if preferences are separable between the consumption goods and leisure, or if leisure shifts consumption towards the credit good. We also study a generalized model which nests both models as special cases.

Yet another reason to tax goods

When, in a dynamic model, choices by an agent : i) are not observed, and; ii) affect preferences conditional on the realization of types, new and unexpected features come up in Mirrlees’ (1971) optimal taxation frame- work. In the simplest possible model where a non-trivial filtration may be incorporated, we show how these two characteristics make it neces- sary for IC constraints to be defined in terms of strategies rather than pure announcements. Tax prescriptions are derived, and we are able to show that uniform taxation prescription of Atkinson and Stiglitz fails to hold, in general. Clean results regarding capital income taxation are not easy to come about because usual assumption on preferences do not allow for determining which constraints bind at the optimum. However, in the most ’natural’ cases, we show that return on capital ought to be taxed.

Education, preferences for leisure, and the optimal income tax schedule

Recent advances in dynamic Mirrlees economies have incorporated the treatment of human capital investments as an important dimension of government policy. This paper adds to this literature by considering a two period economy where agents are di erentiated by their preferences for leisure and their productivity, both private information. The fact that productivity is only learnt later in an agent's life introduces uncertainty to agent's savings and human capital choices and makes optimal the use of multi-period tie-ins in the mechanism that characterizes the government policy. We show that optimal policies are often interim ine cient and that the introduction of these ine ciencies may take the form of marginal tax rates on labor income of varying sign and educational policies that include the discouragement of human capital acquisition. With regards to implementation, state-dependent linear taxes implement optimal savings, while human capital policies may require labor income taxes that depend directly on agents' schooling.

The risk-properties of human capital and the design of government policies

Whether human capital increases or decreases wage uncertainty is an open question from an empirical standpoint. Yet, most policy prescriptions regarding human capital formation are based on models that impose riskiness on this type of investment. In a two period and finite type optimal income taxation problem we derive prescriptions that are robust to the risk characteristics of human capital: savings should be discouraged, human capital investments encouraged and both types of investment driven to an efficient level from an aggregate perspective. These prescriptions are also robust to the assumptions regarding what choices are observed, despite policy instruments being not.

Yet another reason to tax goods

The optimal taxation of goods, labor and capital income is considered in a two period model where: i) private information changes through time; ii) savings are not observed, and; iii) savings a§ect preferences conditional on the realization of types. The simultaneous appearance of these three elements cause optimal commodity taxes to depend on o§-equilibrium savings. As a consequence, separability no longer su¢ ces for the uniform taxation prescription of Atkinson and Stiglitz (AS) to obtain. If preferences are homothetic AS is partially restored: taxes are uniform within periods, however, future consumption is taxed at a higher rate than current consumption.

Optimal Mirrleesian taxation in non-competitive labor markets

We study optimal labor income taxation in non-competitive labor markets. Firms offer screening contracts to workers who have private information about their productivity. A planner endowed with a Paretian social welfare function tries to induce allocations that maximize its objective. We provide necessary and sufficient conditions for implementation of constrained efficient allocations using tax schedules. All allocations that are implementable by a tax schedule display negative marginal tax rates for almost all workers. Not all allocations that are implementable in a competitive setting are implementable in this noncompetitive environment.

Endogenous growth with deferred technological change

Lucas (2009) propôs um modelo com dois setores para explicar padrões observados em dados de crescimento. Entretanto, a análise de Lucas não envolve uma decisão intertemporal para o consumidor. O comportamento das variáveis é determinado à priori pela tecnologia escolhida. Rodriguez (2006) propôs um modelo com a tecnologia com dois setores apresentada por Lucas adicionando um processo de decisão intertemporal para o consumidor. Adicionalmente aos resultados obtidos por Rodriguez, nós caracterizamos suficiência e apresentamos exemplos esclarecedores de casos particulares do modelo. Ademais, nós fazemos um esforço para derivar novos insights e esclarecer alguns pontos técnicos. Finalmente, nós obtemos condições sob as quais a economia investe em capital humano mesmo com benefícios diferidos.

O Papel da elasticidade da renda tributável na avaliação do custo de eficiência da tributação

O trabalho utiliza conceitos da economia do bem estar e a elasticidade da renda tributável para analisar o custo social das reações comportamentais dos contribuintes do imposto de renda sobre as pessoas físicas no Brasil, em resposta a uma mudança de política tributária. A elasticidade da renda tributável despertou grande atenção recente, motivada pela perspectiva de estimar em conjunto todas as reações comportamentais a uma mudança no sistema tributário através de um único parâmetro, mensurando custos de eficiência e de bem estar suportados pela economia de forma relativamente simples. O trabalho aborda a utilização de medidas de variação de bem estar para avaliar mudanças na política tributária e faz uma resenha da literatura sobre a elasticidade da renda tributável, conceitos, características, vantagens e limitações. Um modelo de preferências é especificado para exemplificar a dimensão das reações à tributação e os custos de eficiência envolvidos, e discutir a viabilidade do emprego da elasticidade da renda tributável como parâmetro estrutural.

Tax reform under fiscal stress: a CGE analysis of the Brazilian tax reform

In spite of a general agreement over the distortion imposed by the current Brazilian tax system, attempts to reform it during the last decade have faced several restrictions to its implementation. Two of these restrictions were particular binding: a) fiscal adjustment restriction (public sector debt cannot increase), b) fiscal federalist restriction (revenues from individual states and municipalities cannot decrease). This paper focuses on a specific reform that overcomes in principle the fiscal federalist restriction. Using Auerbach and Kotlikoff (1987) model calibrated for the Brazilian economy, I analyze the short and long run macroeconomic effects of this reform subject to the fiscal adjustment restriction. Finally, I look at the redistributive effects of this reform among generations as a way to infer about public opinion’s reaction to the reform. The reform consists basically of replacing indirect taxes on corporate revenues, which I show to be equivalent to a symmetric tax on labor and capital income, by a new federal VAT. The reform presented positive macroeconomic effects both in the short and long run. Despite a substantial increase in the average VAT rate in the first years after the reform, a majority of cohorts experienced an increase in their lifetime welfare, being potentially in favour of the reform.

Investment in human capital in a macrodynamic framework: redistributive taxation, public debt and welfare

None

The impact of AIDS on income and human capital

This paper studies the impact of HIV/AIDS on per capita income and education. It explores two channels from HIV/AIDS to income that have not been sufficiently stressed by the literature: the reduction of the incentives to study due to shorter expected longevity and the reduction of productivity of experienced workers. In the model individuals live for three periods, may get infected in the second period and with some probability die of Aids before reaching the third period of their life. Parents care for the welfare of the future generations so that they will maximize lifetime utility of their dynasty. The simulations predict that the most affected countries in Sub-Saharan Africa will be in the future, on average, thirty percent poorer than they would be without AIDS. Schooling will decline in some cases by forty percent. These figures are dramatically reduced with widespread medical treatment, as it increases the survival probability and productivity of infected individuals.

Microeconomic instability and children's human capital accumulation: the effects of idiosyncratic shocks to father's income on child labor, school drop-outs and repetition rates in Brazil

This paper evaluates the long-run effects of economic instability. In particular, we study the impact of idiosyncratic shocks to father’s income on children’s human capital accumulation variables such as school drop-outs, repetition rates and domestic and non-domestic labor. Although, the problem of child labor in Brazil has declined greatly during the last decade, the number of children working is still substantial. The low levels of educational attainment in Brazil are also a main cause for concern. The large rotating panel data set used allows for the estimation of the impacts of changes in occupational and income status of fathers on changes in his child’s time allocation circumstances. The empirical analysis is restricted to families with fathers, mothers and at least one child between 10 and 15 years of age in the main Brazilian metropolitan areas during the 1982-1999 period. We perform logistic regressions controlling for child characteristics (gender, age, if he/she is behind in school for age), parents characteristics (grade attainment and income) and time and location variables. The main variables analyzed are dynamic proxies of impulses and responses, namely: shocks to household head’s income and unemployment status, on the one hand and child’s probability of dropping out of school, of repeating a grade and of start working, on the other. The findings suggest that father’s income has a significant positive correlation with child’s dropping out of school and of repeating a grade. The findings do not suggest a significant relationship between a father’s becoming unemployed and a child entering the non-domestic labor market. However, the results demonstrate a significant positive relationship between a father becoming unemployed and a child beginning to work in domestic labor. There was also a positive correlation between father becoming unemployed and a child dropping out and repeating a grade. Both gender and age were highly significant with boys and older children being more likely to work, drop-out and repeat grades.

Income inequality and human capital development

Investimentos em capital humano são essenciais para o desenvolvimento econômico de um pais. No Brasil, diversas fontes apontam para a falta de mão de obra qualificada como sendo uma das causas de um fraco crescimento econômico. Esta dissertação explora as teorias que ligam desigualdade de renda com performance econômica. A parte empírica se foca em uma das teorias apresentadas, a de imperfeições no mercado de credito. De acordo com esta teoria, mercados de credito imperfeitos são fracos alocadores de recursos e não possibilitam que indivíduos de baixa renda invistam no próprio capital humano. No Brasil, há uma escassez de estudos empíricos focados em testar os canais através dos quais a desigualdade de renda afeta o crescimento, trazendo significância para esta dissertação. Os resultados apresentados aqui foram obtidos através da pesquisa familiar – POF – realizada pelo IBGE. Os dados mostram que investimentos em educação crescem como percentual do orçamento com o aumento da renda familiar. Aumentos de renda para classes de renda já elevadas não provocam igual aumento nas despesas educacionais. Os dados sugerem a existência de uma restrição orçamentária para Brasileiros de baixa e média renda independente da região. Foram encontradas fortes evidencias de que classes de baixa e média renda no Brasil tem acesso limitado ao mercado de credito. Portanto, existe evidencia de que redistribuição aumentaria o gasto agregado em educação