WeIfare costs of inflation the case for interest-bearing money and empiricaI Estimates for Brazil

We provide in this paper a closed fonn for the Welfare Cost of Inflation which we prove to be closer than Bailey's expression to the correct solution of the corresponding non-separable differential equation. Next, we extend this approach to an economy with interest-bearing money, once again presenting a better appoximation than the one given by Bailey's approach. Finally, empirical estimates for Brazil are presented.

Endogenous cycles in a Stiglitz-Weiss economy

The literature on financiaI imperfections and business cycles has focused on propagation mechanisms. In this pape r we model apure reversion mechanism, such that the economy may converge to a two period equilibrium cycle. This mechanism confirms that financiaI imperfections may have a dramatic amplification effect. Unlike in some related models, contracts are complete. Indexation is not assumed away. The welfare properties of a possible stabilizing policy are analyzed. The model i tself is a dynamic extension of the well-known Stigli tz-Weiss model of lending under moral hazard. Although stylized the model still captures some important features of credit cycles.

Income composition, endogenous fertility and schooling investments in children

This paper studies how the eomposition of ineome between mothers and fathers affeets fertility and sehooling investments in ehildren, using data from the 1976 and 1996 PNAD, a Brazilian household survey. Ineome composition affeets the time eost of fertility because mothers and fathers alloeate different amounts of time to child-rearing. These effects are in turn transmitted to investments in ehildren through a tradeoffbetween quantity and quality of ehildren. The main contribution of this paper is twofold. First, it derives new implications about the relationship between household ineome composition and schooling investments in ehildren. Seeond, this paper devises and implements an empirieal approaeh to assess these implieations, using two eross-seetions of fertility and schooling data from Brazil. The main empirical findings of the paper ean be summarized as follows. First, the empirical analysis shows that a larger negative effect of the mother's labor in come on fertility in 1996 is associated with a larger positive effect on the adult child's schooling, refleeting the interaction between quantity and quality of children. Second, the larger negative effect of the mother's labor income on fertility in 1996 is associated with a reduction in the effect of other determinants of number of children. This suggests that an increase in the relative importanee of time costs of fertility may be an important determinant of variations in fertility over time in Brazil and other developing countries .

A competitive growth model with endogenous fertility

This paper investigates the interaction between endogenous fertility behavior and the distribution of income and wealth arnong farnilies in a competitive market economy. We construct a growth model in which altruistic dynasties are heterogeneous in their initial stocks of physical capital. Dynasties make choices of farnily size along with decisions about consumption and intergenerational transfers. We show that if the rate of time preference is increasing in the number of children and preferences over nurnber of children satisfy a norrnality assumption, all steady states are characterized by equality of capital stocks and consumption arnong families. We also provide sufficient conditions for uniqueness of the steady state. In order to illustrate these results, we present an example in which preferences over number of children are logarithrnic and the technology is Cobb-Douglas. For this combination of preferences and technology, there exists a unique egalitarian steady state. Moreover, the economy converges to this steady state in only one generation .

Imperfectly credible disinflation under endogenous time-dependent pricing

The real effects of an imperfectly credible disinflation depend critically on the extent of price rigidity. Therefore, the study of how policymakers’ credibility affects the outcome of an announced disinflation should not be dissociated from the analysis of the determinants of the frequency of price adjustments. In this paper we examine how the policymaker’s credibility affects the outcome of an announced disinflation in a model with endogenous time-dependent pricing rules. Both the initial degree of price ridigity, calculated optimally, and, more notably, the changes in contract length during disinflation play an important role in the explanation of the effects of imperfect credibility. We initially evalute the costs of disinflation in a setup where credibility is exogenous, and then allow agents to update beliefs about the “type” of monetary authority that they face. We show that, in both cases, the interaction between the endogeneity of time-dependent rules and imperfect credibility increases the output costs of disinflation.

Imaginary money

This paper considers price setting in pure units of account, linked to the means of payment through managed parities. If prices are sticky in the units in which they are set, parity changes may facilitate equilibrium adjustment of relative prices. The paper derives simultaneously the optimal choice of unit of account by each price setter, and the optimal parity policy. The gains from having multiple units of account are computed for a simple calibrated economy.

Does money in schools matter? evaluating the effects of FUNDEF on wages and test scores in Brazil

In this paper we investigate the effects of the 1998 reform in the funding of fundamental education in Brazil (FUNDEF) on the relative wages of public school teachers and on the relative proficiency of public school pupils. The evidence suggests that, on average, FUNDEF raised the public school teachers’ relative wages and improved the relative proficiency of the public school students. Some indirect evidence was presented that showed that the effect of FUNDEF on proficiency seems to be related to its effect on wages and on school characteristics. The effect on proficiency seems to be concentrated in the municipal schools in the Northeast of the country.

All-pay auctions with endogenous asymmetries

We study N-bidders, asymmetric all-pay auctions under incomplete information. First, we solve for the equilibrium of a parametric model. Each bidder’s valuation is independently drawn from an uniform [0, αi] where the parameter αi may vary across bidders. In this game, asymmetries are exogenously given. Next, a two-stage game where asymmetries are endogenously generated is studied. At the first stage, each bidder chooses the level of an observable, costly, value-enhancing action. The second stage is the bidding sub-game, whose equilibrium is simply the equilibrium of the, previously analyzed, game with exogenous asymmetries. Finally, natural applications of the all pay-auction in the context of political lobbying are considered: the effects of excluding bidders, as well as, the impact of caps on bids.

Endogenous borrowing constraints and default when markets are incomplete

Incomplete markets and non-default borrowing constraints increase the volatility of pricing kernels and are helpful when addressing assetpricing puzzles. However, ruling out default when markets are in complete is suboptimal. This paper endogenizes borrowing constraints as an intertemporal incentive structure to default. It modeIs an infinitehorizon economy, where agents are allowed not to pay their liabilities and face borrowing constraints that depend on the individual history of default. Those constraints trade off the economy's risk-sharing possibilities and incentives to prevent default. The equilibrium presents stationary properties, such as an invariant distribution for the assets' solvency rate.

Aggregate vs disaggregate data analysis: a paradox in the estimation of money demand function of Japan under the low interest rate policy

We investigate the issue of whether there was a stable money demand function for Japan in 1990's using both aggregate and disaggregate time series data. The aggregate data appears to support the contention that there was no stable money demand function. The disaggregate data shows that there was a stable money demand function. Neither was there any indication of the presence of liquidity trapo Possible sources of discrepancy are explored and the diametrically opposite results between the aggregate and disaggregate analysis are attributed to the neglected heterogeneity among micro units. We also conduct simulation analysis to show that when heterogeneity among micro units is present. The prediction of aggregate outcomes, using aggregate data is less accurate than the prediction based on micro equations. Moreover. policy evaluation based on aggregate data can be grossly misleading.

Wealth composition, endogenous fertility and the dynamics of income inequality

This paper analyzes how differences in the composition of wealth between human and physical capital among families affect fertility choices. These in tum influence the dynamics of wealth and income inequality across generations through a tradeoffbetween quantity and quality of children. Wealth composition affects fertility because physical capital has only a wealth effect on number of children, whereas human capital increases the time cost of child-rearing in addition to the wealth effect. I construct a model combining endogenous fertility with borrowing constraints in human capital investments, in which weaIth composition is determined endogenously. The model is calibrated to the PNAD, a Brazilian household survey, and the main findings of the paper can be summarized as follows. First, the model implies that the crosssection relationship between fertility and wealth typically displays a U-shaped pattem, reflecting differences in wealth composition between poor and rich families. Also, the quantity-quality tradeoff implies a concave cross-section relationship between investments per child and wealth. Second, as the economy develops and families overcome their bOlTowing constraints, the negative effect of weaIth on fertility becomes smaller, and persistence of inequality declines accordingly. The empirical evidence presented in this paper is consistent with both implications .

A coordination approach to the essentiality of money

The essentiality of money is commonly justi ed on e¢ ciency grounds. In this paper, we propose an alternative view on the essentiality of money. We consider an economy with llimited monitoring where agents have to coordinate on the use of two alternative technologies of exchange, money and credit. We show that although credit strictly dominates money from an e¢ ciency perspective, money is essential for coordination reasons. If agents are patient, the region of parameters where they coordinate in the use of money strictly contains the region of parameters where they coordinate in the use of credit