Limited memory and the essentiality of money

This paper investigates the relationship between memory and the essentiality of money. We consider a random matching economy with a large finite population in which commitment is not possible and memory is limited in the sense that only a fraction m E(0; 1) of the population has publicly observable histories. We show that no matter how limited memory is, there exists a social norm that achieves the first best regardless of the population size. In other words, money can fail to be essential irrespective of the amount of memory in the economy. This suggests that the emphasis on limited memory as a fundamental friction for money to be essential deserves a deeper examination.

Money versus memory

A well–established fact in monetary theory is that a key ingredient for the essentiality of money is its role as a form of memory. In this paper we study a notion of memory that includes information about an agent’s past actions and trading opportunities but, in contrast to Kocherlakota (1998), does not include information about the past actions and trading opportunities of an agent’s past partners. We first show that the first–best can be achieved with memory even if it only includes information about an agent’s very recent past. Thus, money can fail to be essential even if memory is minimal. We then establish, more interestingly, that if information about trading opportunities is not part of an agent’s record, then money can be better than memory. This shows that the societal benefit of money lies not only on being a record of past actions, but also on being a record of past trading opportunities, a fact that has been overlooked by the monetary literature.

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).

Divisia indexes, money and welfare

We suggest the use of a particular Divisia index for measuring welfare losses due to interest rate wedges and in‡ation. Compared to the existing options in the literature: i) when the demands for the monetary assets are known, closed-form solutions for the welfare measures can be obtained at a relatively lower algebraic cost; ii) less demanding integrability conditions allow for the recovery of welfare measures from a larger class of demand systems and; iii) when the demand speci…cations are not known, using an index number entitles the researcher to rank di¤erent vectors of opportunity costs directly from market observations. We use two examples to illustrate the method.

Coordination in the use of money

Fundamental models of money, while explicit about the frictions that render money essential, are silent on how agents actually coordinate in its use. This paper studies this coordination problem, providing an endogenous map between the primitives of the environment and the beliefs on the acceptability of money. We show that an increase in the frequency of trade meetings, besides its direct impact on payo¤s, facilitates coordination. In particular, for a large enough frequency of trade meetings, agents always coordinate in the use of money.

Social norms and money

In an economy where there is no double coincidence of wants and without recordkeeping of past transactions, money is usually seen as the only mechanism that can support exchange. In this paper, we show that, as long as the population is finite and agents are sufficiently patient, a social norm establishing gift-exchange can substitute for money. Notwithstanding, for a given discount factor, the growth of the population size eventually leads to the breakdown of the social norm, while money still works. 1 Introduction

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 supply of fiat money

We address whether reputation concerns can discipline the behavior of a self-interested agent who has a monopoly over the provision of fiat money. We obtain that when this agent can commit to a plan of action, there is a monetary equilibrium where it never overissues. We show, however, that such equilibrium is no longer possible when there is no commitment. This happens because the incentives this agent has to maintain a reputation for providing valuable currency disappear once its reputation is high enough. More generally, we prove that there is no monetary equilibrium where overissue happens only infrequently. We conclude by showing that imperfect memory can restore the positive result obtained in the presence of commitment.

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.

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.