Bailey's rule for the welfare of inflation: a theoretical foundation

This paper demonstrates that for a very general class of monetary models (the Sidrauski type models and the cash-in-advance models), Bailey’s rule to evaluate the welfare efect of infation is in deed accurate. The result applies for any technology or preference, if the long-run capital stock does not depend on the ination rate. In general, a dynamic version of Bailey’s rule is established. In particular, the result extends to models in which there is a banking sector that supplies money substitutes services. A dditionally, it is argued that the relevant money demand concept for this issue- the impact of in ination under welfare- is the monetary base.

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.

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.

Measures of the welfare cost of inflation: a complete ordering

This paper presents three contributions to the literature on the welfare cost of ináation. First, it introduces a new sensible way of measuring this cost - that of a compensating variation in consumption or income, instead of the equivalent variation notion that has been extensively used in empirical and theoretical research during the past fiftt years. We Önd this new measure to be interestingly related to the proxy measure of the shopping-time welfare cost of ináation introduced by Simonsen and Cysne (2001). Secondly, it discusses for which money-demand functions this and the shopping-time measure can be evaluated in an economically meaningful way. And, last but not least, it completely orders a comprehensive set of measures of the welfare cost of ináation for these money-demand specification. All of our results are extended to an economy in which there are many types of monies present, and are illustrated with the log-log money-demand specification.

Micro evidence on brazilian price stickiness and its consequences for sectoral real exchange rate and inflation persistence

The purpose of this thesis is to investigate the price-setting behavior in Brazil and, in particular, the effects on inflation and good-level real exchange rate persistence. This thesis is composed by three Chapters. In the first Chapter, we present the main stylized facts about the behavior of retail prices in Brazil using micro data from the CPI index computed by the Fundação Getulio Vargas. Moreover we construct time series of price-setting statistics and relate them to macroeconomic variables using regression analyses. In Chapter 2, we investigated the relevance of heterogeneity in countries price stickiness on good-level real exchange rate persistence, considering a newly constructed panel data set of relative prices of 115 common products between the U.S. and Brazil. Chapter 3 is devoted to the relation between sectoral price stickiness and inflation persistence.

The n-dimensional bailey-divisia measure as a general-equilibrium measure of the welfare costs of inflation

This paper shows that in economies with several monies the Bailey-Divisia multidimensional consumers surplus formula may emerge as an exact general-equilibrium measure of the welfare costs of in ation, provided that preferences are quasilinear.

Forecasting Brazilian inflation by its aggregate and disaggregated data: a test of predictive power by forecast horizon

This work aims to compare the forecast efficiency of different types of methodologies applied to Brazilian Consumer inflation (IPCA). We will compare forecasting models using disaggregated and aggregated data over twelve months ahead. The disaggregated models were estimated by SARIMA and will have different levels of disaggregation. Aggregated models will be estimated by time series techniques such as SARIMA, state-space structural models and Markov-switching. The forecasting accuracy comparison will be made by the selection model procedure known as Model Confidence Set and by Diebold-Mariano procedure. We were able to find evidence of forecast accuracy gains in models using more disaggregated data

Inflation when the planner wants less spending

I study optima in a random-matching model of outside money. The examples in this paper show a conflict between private and collective interests. While the planner worry about the extensive and intensive margin effects of trades in a steady state, people want the exhaust the gains from trades immediately, i.e., once in a meeting, consumers prefer spend more for a better output than take the risk of saving money and wait for good meetings in the future. Thus, the conflict can force the planner to choose allocations with a more disperse money distribution, mainly if people are im- patient. When the patient rate is low enough, the planner uses a expansionary policy to generate a better distribution of money for future trades.

A theoretical connection between inflation and income inequality

This work investigates the effects of inflation on income distribution. We use a dynamic shopping-time model to show that a differentiated access to transacting technologies by poor and rich consumers is enough to generate a positive link between inflation and the Gini coefficient of income distribution.

Measurements of income inequality: a critique. Inflation and income inequality: a link through the job- search process

In this paper I claim that, in a long-run perspective, measurements of income inequality, under any of the usual inequality measures used in the literature, are upward biased. The reason is that such measurements are cross-sectional by nature and, therefore, do not take into consideration the turnover in the job market which, in the long run, equalizes within-group (e.g., same-education groups) inequalities. Using a job-search model, I show how to derive the within-group invariant-distribution Gini coefficient of income inequality, how to calculate the size of the bias and how to organize the data in arder to solve the problem. Two examples are provided to illustrate the argument.

Inflation and occupational choices

This paper studies the impact of (high rates) of infiation on ocupational choices in a model where the demand for labor is derived from a production technology that uses capital, productive labor, and managerial services done by administrative labor and money; while the supply of both kinds of labor is rigid in the short-run due to irreversible professional choices. The dynamic path of the economy after stabilization plans exhibits the main sty!ized facts reported in the literature inc1uding an initial consumption boon followed by a gradual adjustment. In its open economy version, the initial phase of the transitional dynamics exhibits capital infiight. The model also generates an increase of income inequality during the trasitional dynamics.

Measuring core inflation as the common trend of prices

In recent years, many central banks have adopted inflation targeting policies starting an intense debate about which measure of inflation to adopt. The literature on core inflation has tried to develop indicators of inflation which would respond only to "significant" changes in inflation. This paper defines a measure of core inflation as the common trend of prices in a multivariate dynamic model, that has, by construction, three properties: it filters idiosyncratic and transitory macro noises, and it leads the future leveI of headline inflation. We also show that the popular trimmed mean estimator of core inflation could be regarded as a proxy for the ideal GLS estimator for heteroskedastic data. We employ an asymmetric trimmed mean estimator to take account of possible skewness of the distribution, and we obtain an unconditional measure of core inflation.

Avoiding some costs of inflation and crawling toward hyperinflation : the case of the Brazilian domestic currency substitute

The pattem of a classical hyperinflation is an acute acceleration of the inflation levei accompanied by rapid substitution away from domestic currency. Brazil, however, has becn experiencing inflation leveis well above 1,000% a year since 1988 without entering the classical hyperinflation path. Two elements play key roles in differcntiating the Brazilian case from other hyperinflationary experiences: indexation and the provision of a reliable domestic currency substitute, Le., the provision of liquidity to interest-bearing assets. This paper claims that the existence of this domestic currency substitute is lhe main source of both lhe inability of the Brazilian central bank to fight inflation and of the unwillingness of Brazilians to face the costs of such a fight. The provision of the domestic currency substitute through the banking sector is modeled, and the main macroeconomic consequences of this monetary regime are derived. Those are: the lack of a nominal anchor for the price system due to the passive monetary policy; the endogeneity of seignorage unlikc traditional models of hyperinflation; and lhe ineffectiveness of very high real interest rates.