Model selection, estimation and forecasting in VAR models with short-run and long-run restrictions

We study the joint determination of the lag length, the dimension of the cointegrating space and the rank of the matrix of short-run parameters of a vector autoregressive (VAR) model using model selection criteria. We consider model selection criteria which have data-dependent penalties for a lack of parsimony, as well as the traditional ones. We suggest a new procedure which is a hybrid of traditional criteria and criteria with data-dependant penalties. In order to compute the fit of each model, we propose an iterative procedure to compute the maximum likelihood estimates of parameters of a VAR model with short-run and long-run restrictions. Our Monte Carlo simulations measure the improvements in forecasting accuracy that can arise from the joint determination of lag-length and rank, relative to the commonly used procedure of selecting the lag-length only and then testing for cointegration.

A monetary mechanism for sharing capital: Diamond and Dybvig meet Kiyotaki and Wright

A model is presented in which banks accept deposits of fiat money and intermediate capital. Alt though theories about the coexistence of money and credit are inherently difficult, the model offers a simple explanation for the dual role of financial institutions: Banks are well monitored, and can credibly allow fiat-money withdraws to whom needs its, thus qualifying to become safe brokers of idle capital. The model shares some features with those of Diamond and Dybvig (1983) and Kiyotaki and Wright (1989).

Welfare costs of inflation when interest-bearing deposits are disregarded: a calculation of the bias

Most estimates of the welfare costs of in ation are devised considering only noninterest- bearing assets, ignoring that since the 80s technological innovations and new regulations have increased the liquidity of interest-bearing deposits. We investigate the resulting bias. Suscient and necessary conditions on its sign are presented, along with closed-form expressions for its magnitude. Two examples dealing with bidimensional bilogarithmic money demands show that disregarding interest-bearing monies may lead to a non-negligible overestimation of the welfare costs of in ation. An intuitive explanation is that such assets may partially make up for the decreased demand of noninterest-bearing assets due to higher in ation.

Model selection, estimation and forecasting in VAR models with short-run and long-run restrictions

We study the joint determination of the lag length, the dimension of the cointegrating space and the rank of the matrix of short-run parameters of a vector autoregressive (VAR) model using model selection criteria. We consider model selection criteria which have data-dependent penalties as well as the traditional ones. We suggest a new two-step model selection procedure which is a hybrid of traditional criteria and criteria with data-dependant penalties and we prove its consistency. Our Monte Carlo simulations measure the improvements in forecasting accuracy that can arise from the joint determination of lag-length and rank using our proposed procedure, relative to an unrestricted VAR or a cointegrated VAR estimated by the commonly used procedure of selecting the lag-length only and then testing for cointegration. Two empirical applications forecasting Brazilian inflation and U.S. macroeconomic aggregates growth rates respectively show the usefulness of the model-selection strategy proposed here. The gains in different measures of forecasting accuracy are substantial, especially for short horizons.

Avaliação dos impactos macro-econômicos e de bem-estar da reforma tributária no Brasil

Este artigo avalia o impacto sobre a economia brasileira de uma reforma tributária que reduza distorções e cumulatividade, utilizando para tal experimento a atual proposta do Ministério da Fazenda. Utiliza-se um modelo recursivo dinâmico padrão calibrado de forma a se aproximar o máximo possível da economia brasileira hoje. A simulações são implementadas ao se introduzir parâmetros correspondentes à reforma tributária: desoneração da folha de pagamentos, redução da cumulatividade com introdução do IVA-F e a desoneração dos investimentos com a redução do prazo de restituição de créditos de ICMS. Estima-se que a reforma tributária proposta provocaria um aumento de 1,5 pontos percentuais na taxa de crescimento do produto nos oito anos seguintes a sua implementação e um ganho de longo prazo de 16%. O impacto sobre o nível de investimento seria muito expressivo, 40% no mesmo período, de modo que a taxa de investimento saltaria dos atuais 20% para quase 24%. Os ganhos de consumo e bem-estar também foram estimados como bastante signicativos.

Money supply and capital accumulation on the transition path revisited

Fischer (1979) and Asako (1983) analyze the sign of the correlation between the growth rate of money and the rate of capital accumulation on the transition path. Both plug a CRRA utility (based on a Cobb-Douglas and a Leontief function, respectively) into Sidrauski's model - yet return contrasting results. The present analysis, by using a more general CES utility, presents both of those settings and conclusions as limiting cases, and generates economic gures more consistent with reality (for instance, the interest-rate elasticity of the money demands derived from those previous works is necessarily 1 and 0, respectively).

The effect of social security, demography and technology on retirement

This article investigates the causes in the reduction of labor force participation of the old. We argue that the changes in social security policy, in technology and in demography may account for most of the changes in retirement over the second part of the last century in the U.S. economy. We develop a dynamic general equilibrium model with endogenous retirement that embeds social security legislation. The model is able to match very closely the increase in the retirement rate of males aged 65 and older. It also quanti es the isolated impact on retirement and on the solvency of the social security system of the di¤erent factors. The model suggests that technological and demographic changes had a strong in uence on retirement, so that it would have increased signi cantly even if the social security rules had not changed. However, as the latter became much more generous in the past, changes in social security policy can account not only for a sizeable part of the expansion of retirement, but also for the most of the observed increase in the social security expenses as a share of GDP.

Um indicador coincidente e antecedente da atividade econômica brasileira

Esse artigo tem três contribuições originais. A primeira é exatamente no esforço de reconstrução das séries de emprego e renda, de modo a permitir a criação de um novo índice coincidente para a atividade econômica brasileira. A segunda é a construção de um índice coincidente de atividade econômica para o Brasil e, a partir dele, (re)estabelecer uma cronologia de recessões para o passado recente da economia brasileira. A partir da reconstrução de séries coincidentes de emprego e renda à atividade econômica e, usando a metodologia do TCB, propomos um novo indicador coincidente mensal de atividade econômica para o Brasil no período 1980:1 a 2007:11.Além disso, propomos também uma cronologia das recessões brasileiras para esse mesmo período. A terceira é a construção e a avaliação de diferentes indicadores antecedentes de atividade econômica para o Brasil. Isso preenche uma lacuna importante na literatura brasileira.

The evolution of TFP in Latin America: high productivity when distortions were high?

Due to widespread government intervention and import-substitution industrialization, 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, however, we show that until the late seventies Latin America had high total factor productivity (TFP) levels relative to the US and other regions. It is only after the late seventies that we observe a fast decrease of relative TFP in Latin America. Results are robust to the use of diferent methodologies and data sources.

The private memory of aggregate shocks

We study constrained efficient aggregate risk sharing and its consequence for the behavior of macro-aggregates in a dynamic Mirrlees’s (1971) setting. Privately observed idiosyncratic productivity shocks are assumed to be independent of i.i.d. publicly observed aggregate shocks. Yet, private allocations display memory with respect to past aggregate shocks, when idosyncratic shocks are also i.i.d.. Under a mild restriction on the nature of optimal allocations the result extends to more persistent idiosyncratic shocks, for all but the limit at which idiosyncratic risk disappears, and the model collapses to a pure heterogeneity repeated Mirrlees economy identical to Werning [2007]. When preferences are iso-elastic we show that an allocation is memoryless only if it displays a strong form of separability with respect to aggregate shocks. Separability characterizes the pure heterogeneity limit as well as the general case with log preferences. With less than full persistence and risk aversion different from unity both memory and non-separability characterize optimal allocations. Exploiting the fact that non-separability is associated with state-varying labor wedges, we apply a business cycle accounting procedure (e.g. Chari et al. [2007]) to the aggregate data generated by the model. We show that, whenever risk aversion is great than one our model produces efficient counter-cyclical labor wedges.

Competitive equilibria in infinite-horizon collateralized economies with default penalties

Araújo, Páscoa and Torres-Martinez (2002) have shown that, without imposing either debt constraints or transversality conditions, Ponzi schemes are ruled out in infinite horizon economies with default when collateral is the only mechanism that partially secures loans. Páscoa and Seghir (2008) subsequently show that Ponzi schemes may reappear if, additionally to the seizure of the collateral, there are sufficiently harsh default penalties assessed (directly in terms of utility) against the defaulters. They also claim that if default penalties are moderate then Ponzi schemes are ruled out and existence of a competitive equilibrium is ensured. The objective of this paper is two fold. First, contrary to what is claimed by Páscoa and Seghir (2008), we show that moderate default penalties do not always prevent agents to run a Ponzi scheme. Second, we provide an alternative condition on default penalties that is sufficient to rule out Ponzi schemes and ensure the existence of a competitive equilibrium.

Eficiência e produtividade total dos fatores em Minas Gerais

Este trabalho estuda a eficiência produtiva do estado de Minas Gerais, analisando a evolução e a situação comparativa de sua produtividade total dos fatores (PTF). Mostramos que o estado seguiu a tendência geral do país de queda da PTF e que para qualquer uma das medidas que construímos, a PTF no estado é inferior a dos estados do Sul e é superior a dos estados do Nordeste, o que o coloca como um estado de fronteira em termos de eficiência. Nossa evidência é que a baixa produtividade por trabalhador é a principal causa do atraso. Um trabalhador médio de SP ou RJ produz mais que 60% que aquele de MG. Em uma simulação mostramos que o produto do estado seria 41% maior se ele fosse tão eficiente quanto São Paulo, mas somente 9% mais rico se possuísse o mesmo nível de capital por trabalhador. Isto é, a diferença de insumos, embora relevante, não é gritante. Possíveis causas seriam a baixa produtividade agrícola, a elevada informalidade, má infra-estrutura e menor educação.

Three principles of competitive nonlinear pricing

We make three contributions to the theory of contracting under asymmetric information. First, we establish a competitive analog to the revelation principIe which we call the implementation principIe. This principIe provides a complete characterization of all incentive compatible, indirect contracting mechanisms in terms of contract catalogs (or menus), and allows us to conclude that in competi tive contracting situations, firms in choosing their contracting strategies can restrict attention, without loss of generality, to contract catalogs. Second, we establish a competi tive taxation principIe. This principIe, a refinement of the implementation principIe, provides a complete characterization of all implementable nonlinear pricing schedules in terms of product-price catalogs and allows us to reduce any game played over nonlinear pricing schedules to a strategically equivalent game played over product-price catalogs. Third, using the competitive taxation principIe and a recent result due to Reny (1999) on the existence of Nash equilibria in discontinuous games, we demonstrate the existence of a N ash equilibrium for the mixed extension of the nonlinear pricing game.