A generalization of judds method of out-steady-state comparisons in perfect foresight models

We show that Judd (1982)’s method can be applied to any finite system, contrary to what he claimed in 1987. An example shows how to employ the technic to study monetary models in presence of capital accumulation.

Foreign investiment and convergence

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Inflation and income inequality: a shopping-time aproach: (Forthcoming, Journal of Development Economics)

Our work is based on a simpliÖed heterogenous-agent shoppingtime economy in which economic agents present distinct productivities in the production of the consumption good, and di§erentiated access to transacting assets. The purpose of the model is to investigate whether, by focusing the analysis solely on endogenously determined shopping times, one can generate a positive correlation between ináation and income inequality. Our main result is to show that, provided the productivity of the interest-bearing asset in the transacting technology is high enough, it is true true that a positive link between ináation and income inequality is generated. Our next step is to show, through analysis of the steady-state equations, that our approach can be interpreted as a mirror image of the usual ináation-tax argument for income concentration. An example is o§ered to illustrate the mechanism.

Sustained growth, government expenditure and inflation

We construct and simulate a theoretical model in order to explain particular historical experiences in which inflation acceleration apparently helped to spur a period of economic growth. Government financed expenditures affect positively the produtivity growth in this model so that the distortionary effect of inflation tax is compensated by the productive effect of public expenditures. We show that for some interval of money creation rates there is an equilibrium where money is valued and where steady state physica1 capital grows with inflation. It is a1so shown that zero inflation and growth maximization are never the optimal policies.

A note on growth and inflation

A simple exercise on growth and inflationary financing of public expenditures is presented in this note. In a parameterized overlapping generations mode1 where government expenses positivc1y affects the growth rate of human capital, steady state capital and output increase with inflation, reproducing the so called Tobin effect. For large inflation rates, however, government authorities cannot affect real variables and there are only nominal effects. It is also shown that the optimal policy implies some inflation but not growth maximization.

Can a habit formation model really explain the Forward Premium Anomaly?

Verdelhan (2009) mostra que desejando-se explicar o comporta- mento do prêmio de risco nos mercados de títulos estrangeiros usando- se o modelo de formação externa de hábitos proposto por Campbell e Cochrane (1999) será necessário especi car o retorno livre de risco de equilíbrio de maneira pró-cíclica. Mostramos que esta especi cação só é possível sobre parâmetros de calibração implausíveis. Ainda no processo de calibração, para a maioria dos parâmetros razoáveis, a razão preço-consumo diverge. Entretanto, adotando a sugestão pro- posta por Verdelhan (2009) - de xar a função sensibilidade (st) no seu valor de steady-state durante a calibração e liberá-la apenas du- rante a simulação dos dados para se garantir taxas livre de risco pró- cíclicas - conseguimos encontrar um valor nito e bem comportado para a razão preço-consumo de equilíbrio e replicar o foward premium anom- aly. Desconsiderando possíveis inconsistências deste procedimento, so- bre retornos livres de risco pró-cíclicos, conforme sugerido por Wachter (2006), o modelo utilizado gera curvas de yields reais decrescentes na maturidade, independentemente do estado da economia - resultado que se opõe à literatura subjacente e aos dados reais sobre yields.

Ajustamento da taxa de câmbio após a crise cambial

O trabalho investiga o ajustamento da taxa de câmbio na transição de um regime de câmbio fixo com taxa de câmbio real apreciada para um regime flutuante. Pretendemos argumentar, teórica e empiricamente, que a depreciação da taxa de câmbio, bem acima da apreciação acumulada no período, que se observou nos diversos países que passaram por esta mudança de regime, é esperada e não se confunde com a análise de overshooting de Dornbusch. Em linhas bastante gerais nosso argumento é que esta depreciação excessiva pode ser o mecanismo de correção do crescimento da dívida externa, que durante o período de apreciação cambial esteve acima de sua taxa de estado estacionário. A intensidade e duração deste ajuste depende, entre outras coisas, da possibilidade de novos empréstimos, da taxa de juros paga sobre os mesmos e da resposta da balança comercial à taxa de câmbio.

Análise do processo de convergência de renda nos estados brasileiros: 1970-2005

Este artigo examina a hipótese de convergência de renda per capita entre os estados brasileiros no período de 1970 a 2005. Comentam-se os resultados encontrados para sigmaconvergência medida através de indicadores de desigualdade, como o índice de Theil e coeficiente de variação. Para testar a existência ou não de convergência aplica-se além da metodologia tradicional de beta convergência baseada em regressões de cross-section, a técnica de estimação de GMM em primeira diferença para painel dinâmico. Além disso, com a finalidade de obter a distribuição de renda de longo prazo da economia, utiliza-se a metodologia de cadeia de Markov proposta por Quah (1993). A conclusão do estudo é de que os estados brasileiros já estão muito próximos ao seu steady-state. A velocidade de convergência quando se utiliza o método de GMM eleva-se para 15%, enquanto os resultados obtidos para estudos de cross-section giram por volta de 1%.

Can a habit formation model really explain the forward premium anomaly?

Verdelhan (2009) shows that if one is to explain the foreign exchange forward premium behavior using Campbell and Cochrane (1999)’s habit formation model one must specify it in such a way to generate pro-cyclical short term risk free rates. At the calibration procedure, we show that this is only possible in Campbell and Cochrane’s framework under implausible parameters specifications given that the price-consumption ratio diverges in almost all parameters sets. We, then, adopt Verdelhan’s shortcut of fixing the sensivity function λ(st) at its steady state level to attain a finite value for the price-consumption ratio and release it in the simulation stage to ensure pro-cyclical risk free rates. Beyond the potential inconsistencies that such procedure may generate, as suggested by Wachter (2006), with procyclical risk free rates the model generates a downward sloped real yield curve, which is at odds with the data.

Inflation, welfare and public expenditures

This paper studies welfare effects of monetary policy in an overlapping generations model with capital and no form of taxation other than inflation. Public expenditures have a positive effect on labor productivity. The main result of the paper is that an expansive monetary policy can be welfare improving, at least for ìsmall enoughî inflation rates, and that there is an optimal inflation rate. Growth maximization, however, is never optimal. Steady-state capital and output increase with inflation, reproducing the so-called Tobin effect. For large inflation rates, however, the government authorities cannot affect real variables and there are only nominal effects.

On the long run effects of barriers to trade

We study the macroeconomic effects of international trade policy by integrating a Hecksher-Ohlin trade model into an optimal-growth framework. The model predicts that a more open economy will have higher factor productivity. Furthermore, there is a "selective development trap," an additional steady state with low income, to which countries may or may not converge, depending on policy. Income at the development trap falls as trade barriers increase. Hence, cross-country differences in barriers to trade may help explain the dispersion of per-capita income observed across countries. The effects are quantified and we show that protectionism can explain a relevant fraction of TFP and long-run income differentials across countries.

Inflationary financing of public investment and economic growth

a theoretical model is constructed in order to explain particular historical experiences in which inflation acceleration apparently helped to spur a period of economic growth. Government financed expenditures affect positively the productivity growth in this model so that the distortionary effect of inflation tax is compensated by the productive effect of public expenditures. We show that for some interval of money creation rates there is an equilibrium where money is valued and where steady state physical capital grows with inflation. It is also shown that zero inflation and growth maximization are never the optimal policies.

Inflation and overbanking

This paper argues that monetary models can and usually present the phenomenon of over-banking; that is, the market solution of the model presents a size of the banking sector which is higher than the social optima. Applying a two sector monetary model of capital accumulation in presence of a banking sector, which supplies liquidity services, it is shown that the rise of a tax that disincentives the acquisition of the banking service presents the following impacts on welfare. If the technology is the same among the sectors, the tax increases welfare; otherwise, steady-state utility increase if the banking sector is labor-intensive compared to the real sector. Additionally, it is proved that the elevation of inflation has the following impact on the economy's equilibrium: the share on the product of the banking sector increases; the product and the stock of capital increases or reduces whether the banking sector is capital-intensive or laborintensive; and, the steady-state utility reduces. The results were derived under a quite general set up - standard hypothesis regarding concavity of preference, convexity of technology, and normality of goods - were required.