Andres Erosa

Optimal Taxation in Life-Cycle Economies

We use a very standard life-cycle growth model, in which individuals have a labor-leisure choice in each period of their lives, to prove that an optimizing government will almost always find it optimal to tax or subsidize interest income. The intuition for our result is straightforward. In a life-cycle model the individual’s optimal consumption-work plan is almost never constant and an optimizing government almost always taxes consumption goods and labor earnings at different rates over an individual’s lifetime. One way to achieve this goal is to use capital and labor income taxes that vary with age. If tax rates cannot be conditioned on age, a non-zero tax on capital income is also optimal, as it can (imperfectly) mimic age-conditioned consumption and labor income tax rates.

Private Money and Reserve Management in a Random Matching Model

In this paper, we develop a model of money and reserve‐holding banks. We allow for private liabilities to circulate as media of exchange in a random‐matching framework. Some individuals, which we identify as banks, are endowed with a technology to issue private notes and to keep reserves with a clearinghouse. Bank liabilities are redeemed according to a stochastic process that depends on the endogenous trades. We find conditions under which note redemptions act as a force that is sufficient to stabilize note issue by the banking sector.

On inflation as a regressive consumption tax

Evidence on the portfolio holdings and transaction patterns of households suggests that the burden of inflation is not evenly distributed. We build a monetary growth model consistent with key features of cross- sectional household data and use this framework to study the distributional impact of inflation. At the aggregate level, our model economy behaves similarly to standard monetary growth models within the representative agent abstraction. Inflation has, however, important distributional effects since it is effectively a regressive consumption tax. Thus, neglecting the distributional consequences of inflation may prove misleading in assessing the effects of inflation in our economy.

A General Equilibrium Analysis of Parental Leave Policies

The programs used to solve for the equilibrium of the benchmark economy and the ones of the economies with mandatory leaves are written in fortran. The compiler used is Compact Visual Fortran Professional Edition 6.5.0.

On the Aggregate and Distributional Implications of Productivity Differences Across Countries

We develop a quantitative theory of human capital with heterogeneous agents in order to assess the sources of cross-country income differences. The cross-sectional implications of the theory and U.S. data are used to restrict the parameters of human capital technology. We then assess the models ability to explain the cross-country data. Our quantitative model generates a total-factor-productivity (TFP) elasticity of output per worker of 2.8. This implies that a factor of 3 difference in TFP is amplified through physical and human capital accumulation to generate a factor of 20 difference in output per worker --- as observed in the data between rich and poor countries. The implied difference in TFP is in the range of estimates from micro studies. The theory suggests that using Mincer returns to measure human capital understates human capital differences across countries by a factor of 2. The cross-country differences in human capital implied by the theory are consistent with evidence from earnings of immigrants in the United States. We also find that TFP has substantial effects on cross-sectional inequality and intergenerational mobility and that public education policies can have important aggregate and distributional implications.

Efficient propagation of shocks and the optimal return on money

We study optimal allocations in an environment in which money is essential due to lack of commitment and anonymity of individuals. Because the economy features aggregate preference shocks, we apply a notion of implementability that allows for allocations with non-trivial business-cycle dynamics for the propagation of shocks. We show that history dependence is predicted by the theory of second best and becomes necessary for optimality when the degree of patience is neither too low nor too high. Our analysis concludes with a discussion of whether there is a role for the propagation of shocks in alternative economic environments.