Search, money, and inflation under private information

I study monetary exchange and inflation when buyers have private information about their willingness to pay for certain goods. Introducing imperfect information in the Lagos-Wright [A unified framework for monetary theory and policy analysis, J. Polit. Economy 113(3) (2005) 463-484] economy shows that the existence of monetary equilibrium is a more robust feature of the environment. In general, my model has a monetary steady state in which only a proportion of the agents hold money. Agents who do not hold money cannot participate in trade in the decentralized market. The proportion of agents holding money is endogenous and depends (negatively) on the level of expected inflation. As in Lagos and Wright's model, in equilibrium there is a positive welfare cost of expected inflation, but the origins of this cost are very different.     

Existence of a monetary steady state in a matching model: divisible money

Existence of a monetary steady state is established in a random matching model with divisible goods, divisible money, an arbitrary bound on individual money holdings, and take-it-or-leave-it offers by consumers. The monetary steady state shown to exist has nice properties: the value function, defined on money holdings, is strictly increasing and strictly concave, and the distribution over money holdings has full support. The approach is to show that the “limit” of the nice steady states for indivisible money, existence of which was established in an earlier paper, as the unit of money goes to zero is a monetary steady state for divisible money. For indivisible money, the marginal utility of consumption at zero was assumed to be large; for divisible money it is assumed to be large and finite.     

Existence of a monetary steady state in a matching model: indivisible money

Existence of a monetary steady state is established for a random matching model with divisible goods, indivisible money, an arbitrary bound on individual money holdings, and take-it-or-leave-it offers by consumers. The background environment is that in papers by Shi and by Trejos and Wright. The monetary steady state shown to exist has nice properties: the value function, defined on money holdings, is strictly increasing and strictly concave, and the measure over money holdings has full support.     

Limited participation,private money,and credit in a spatial model of money

Summary. The purpose of this paper is to explore the implications of private money issue for the effects of monetary policy, for optimal policy, and for the role of fiat money. A locational model is constructed which gives an explicit account of the role for money and credit, and for limited financial market participation. When private money issue is prohibited, there is a liquidity effect as the result of a money injection from the central bank, but this effect goes away when private money is permitted. Private money issue changes dramatically the nature of optimal monetary policy. With private money, fiat currency is no longer used in transactions involving goods, but currency and central bank reserves play an important part in the clearing and settlement of private money returned for redemption.Received: 5 May 2003, Revised: 1 December 2003JEL Classification Numbers: E4, E5.The author thanks seminar participants at the Federal Reserve Bank of Richmond and Duke University, conference participants at the Texas Monetary Conference at U.T. Austin, February 2002, and the Conference on Recent Developments in Money and Finance at Purdue University, May 2003, as well as Gabriele Camera, Ed Nosal, Will Roberds, and two anonymous referees for their helpful comments and suggestions.     

The workings of a commodity money system in an incomplete information macro model

This paper compares the properties of a token money system with that of a commodity money system in an uncertain environment. In an incomplete information world, relative prices are not known with certainty. However, a commodity money system provides some information because the nominal price of the monetary commodity is known. The benefits of this information-enhancing function may be offset, though by distortions in relative prices relative to their full information Walrasian equilibrium values. Because the two systems have vastly different structural parameters, we cannot unambiguously state which system is welfare superior.     

The nature and role of monetary policy when money is endogenous

This paper considers the nature and role of monetary policywhen money is modelled as credit money endogenously createdwithin the private sector. There are currently two schools ofthought that view money as endogenous: one has been labelledthe ‘new consensus’ in macroeconomics, and the otheris the Keynesian endogenous (bank) money approach. The paperfirst explores the analysis of monetary policy in the ‘newconsensus’ macroeconomic model, followed by an examinationof the effectiveness of monetary policy in that analysis. TheKeynesian view of endogenous money is discussed, and the rolefor monetary policy in a Keynesian endogenous monetary policyanalysis is considered, including discussion of the objectivesand instruments of monetary policy.     

On recursive utility and the superneutrality of money

This paper investigates whether a change in the growth rate of the money supply enhances the rate of capital accumulation in a cash-in-advance monetary model with recursive utility. Although money is superneutral in the steady state, the effect of the growth rate of money supply on the speed of capital accumulation depends not only on the curvature of the felicity, but also on the slope and curvature of the discount rate function. We find that when the discount rate decreases with consumption and the elasticity of marginal utility is greater than unity, inflation yields a slower speed of capital accumulation.     

Endogeneity in European money demand

European wide monetary aggregates constructed from pre-unification data cannot be used as evidence that money demand in the euro area is stable. To overcome the Lucas critique, we apply the standard foreign exchange rate model. Since the uncoordinated country specific money supply system is abolished, the increased comovement between local monetary aggregates leaves little room for a free ride on the law of large numbers. Current monetary policy decisions must be based on untested relations, and given ‘the long and variable lags’, we conclude that the road towards monetary stability is a non-activist steady money supply policy.     

Time-varying money demand and real balance effects

This paper presents an analysis of the stimulants and consequences of money demand dynamics. By assuming that household's money holdings and consumption preferences are not separable, we demonstrate that the interest-elasticity of demand for money is a function of the household's preference to hold real balances, the extent to which these preferences are not separable in consumption and real balances, and trend inflation. An empirical study of U.S. data revealed that there was a gradual fall in the interest elasticity of money demand of approximately one-third during the 1970s due to high trend inflation. A further decline in the interest-elasticity of the demand for money was observed in the 1980s due to the changing household preferences that emerged in response to financial innovation. These developments led to a reduction in the welfare cost of inflation that subsequently explains the rise in monetary neutrality observed in the data.     

Multiple reserve requirements in a monetary growth model

Summary. This paper considers a monetary growth model in which banks provide liquidity, and in which a government finances a deficit by printing money and selling bonds. In this context, I examine the possibility that the government may want to impose binding reserve requirements on banks' holdings of both money and government bonds. Conditions are established under which doing so increases steady state welfare and reduces the scope for indeterminacies. Furthermore, under a binding system of multiple reserve requirements we have that money is superneutral. On the other hand, if reserve requirements are imposed on cash holdings alone, increases in the steady state inflation rate adversely affect capital accumulation and long run real activity. Thus systems of multiple binding reserve requirements can insulate real activity from the consequences of inflationary taxation. Received: June 30, 2000; revised version: January 31, 2001     

Consumer preferences,the demand for Divisia money,and the welfare costs of inflation

This paper uses neoclassical demand theory to calculate the welfare costs of inflation. It considers the demand interactions between money, consumption goods, and leisure, relaxes the assumption of fixed consumer preferences, and addresses the inter-related problems of estimation of money demand functions, instability of money demand relations, and monetary aggregation. It makes full use of the relevant economic theory and econometrics and generates inference in terms of long-run welfare costs of inflation that is internally consistent with the data and models used.     

On the coexistence of money and higher-return assets and its social role

This paper adopts mechanism design to investigate the coexistence of fiat money and higher-return assets. We consider an economy with pairwise meetings where fiat money and risk-free capital compete as means of payment, as in [28]. The trading mechanism in pairwise meetings is chosen among all individually rational, renegotiation-proof mechanisms to maximize society?s welfare. We show that in any stationary monetary equilibrium capital commands a higher rate of return than fiat money.     

Bidding for money

We analyze monetary exchange in a model that allows for directed search and multilateral matches. We consider environments with divisible goods and indivisible money, and compare the results with those in models that use random matching and bilateral bargaining. Two different pricing mechanisms are used: ex ante price posting, and ex post bidding (auctions). Also, we consider settings both with and without lotteries. We find that the model generates very simple and intuitive equilibrium allocations that are similar to those with random matching and bargaining, but with different comparative static and welfare properties.     

The state as a creature of money

Recent social theories of money have challenged economic conceptions of it as first and foremost a medium of exchange. Writers such as Geoffrey Ingham and David Graeber have revived the chartalist position that money is essentially a creature of the state, whose primary function is to measure value or debt. In this paper, I argue that this is a wrong turning. I first clarify the conceptual underpinnings of Ingham’s treatment of money as an ‘institutional fact’, a concept drawn from Searle. I clarify the sense in which this argument establishes that the state ‘creates’ money – and show that this sense is quite limited. It is a theory of how something comes to be accepted as money, rather than a theory of why there is money in the first place, and it gives no account of money’s value. Finally, I sketch an alternative way of looking at the relationship between states and money. This recognises that modern states have been shaped in part by strategies with regard to monetary management, with state actors engaging strategically in a system they only partially constitute – so that states are ‘creatures of money’ as much as the reverse.     

Endogenous uncertainty and the non-neutrality of money

Summary. We study some implications of the Theory of Rational Beliefs to monetary policy. We show that monetary policy in a Rational Beliefs environment can have an important effect on the characteristics of economic fluctuations. In Rational Beliefs Equilibria money is generically non-neutral unlike Rational Expectations Equilibria in which money is neutral and monetary policy is ineffective. Under Rational Beliefs Equilibria nominal prices and real output change not only in response to changes in the exogenous growth rate of money but also in response to changes in the state of beliefs. In Rational Beliefs Equilibria monetary shocks have real effects even when they are observed but are not fully anticipated. Furthermore, the non-neutrality of money results in a short run Phillips curve. When money “flutters, real output sputters” [8]. We show that Endogenous Uncertainty and the distribution of market beliefs are the major explanatory variables of such fluctuations. Under Rational Expectations monetary policy is ineffective because agents neutralize it by predicting correctly the effect of the policy. Under Rational Beliefs it is shown instead that inflation and recessions can be substantially aggravated by the distribution of market beliefs. Received: January 14, 2002; revised version: April 5, 2002 RID="*" ID="*" I would like to thank Mordecai Kurz for his constant help and support. Most of the ideas developed hereby have been inspired by innumerable and fruitful discussions with him. I have also greatly benefited from helpful comments by Stanley Black, Luigi Campiglio, Carsten Nielsen and Ho-Mou Wu. I also received valuable remarks from participants at the V meeting of “The Society for the Advancement of Economic Theory” held in Ischia, Italy, on July 2-8, 2001, where an initial draft of the present work was presented.     

Money and Information

This paper investigates the role of money in markets in which producers have private information about the quality of the goods they supply. When the fraction of high-quality producers in the economy is given, money promotes the production of high-quality goods, which improves the quality mix and welfare unambiguously. When this fraction is endogenous, however, we find that money can decrease welfare relative to the barter equilibrium. The origin of this inefficiency is that money provides consumption insurance to low-quality producers, which can result in a higher fraction of low-quality producers in the monetary equilibrium. Finally, we find that most often agents acquire more costly information in the monetary equilibrium than in the barter equilibrium. Consequently, money is welfare-enhancing because it promotes useful production and exchange, but not because it saves information costs.     

Data uncertainty and the role of money as an information variable for monetary policy

In this study, we perform a quantitative assessment of the role of money as an indicator variable for monetary policy in the euro area. We document the magnitude of revisions to euro area-wide data on output, prices, and money, and find that monetary aggregates have a potentially significant role in providing information about current real output. We then proceed to analyze the information content of money in a forward-looking model in which monetary policy is optimally determined subject to incomplete information about the true state of the economy. We show that monetary aggregates may have substantial information content in an environment with high variability of output measurement errors, low variability of money demand shocks, and a strong contemporaneous linkage between money demand and real output. As a practical matter, however, we conclude that money has fairly limited information content as an indicator of contemporaneous aggregate demand in the euro area.     

Capital market imperfections in a monetary growth model

Summary. We consider a monetary growth model essentially identical to that of Diamond (1965) and Tirole (1985), except that we explicitly model credit markets, a credit market friction, and an allocative function for financial intermediaries. These changes yield substantially different results than those obtained in more standard models. In particular, if any monetary steady state equilibria exist, there are generally two of them; one of these has a low capital stock and output level, and it is necessarily a saddle. The other steady state has a high capital stock and output level; either it is necessarily a sink, or its stability properties depend on the rate of money creation. It follows that monetary equilibria can be indeterminate, and nonconvergence phenomena can be observed. Increases in the rate of money creation reduce the capital stock in the high-capital-stock steady state. If the high-capital-stock steady state is not a sink for all rates of money growth, then increases in the rate of money growth can induce a Hopf bifurcation. Hence dynamical equilibria can display damped oscillation as a steady state equilibrium is approached, and limit cycles can be observed as well. In addition, in the latter case, high enough rates of inflation induce the kinds of “crises” noted by Bruno and Easterly (1995): when inflation is too high there are no equilibrium paths approaching the high-activity steady state. Received: November 18, 1995; revised version: March 26, 1996     

Carl Menger's theory of the evolution of money: some problems

The Austrian economist Carl Menger suggested that money, law and language may all evolve without state intervention. A preliminary task of this article is to clarify what is meant by ‘evolve’ in this context. It is further argued that there is a gap in the Mengerian argument: a neglect of potential quality variation in the emerging monetary unit. Attention to this factor suggests a role for intervention in the monetary system, by the state or another overarching authority such as a central bank, to police the currency against debasement, and to legitimate its value. Furthermore, the argument suggests why law is not an entirely spontaneous institution and may require state sanction that is not generally necessary in the case of language.     

Keynes‐Marx and Keynes‐Wicksell Models of Monetary Growth: A framework for future analysis

This paper reconsiders and generalizes a dichotomizing two-sector real growth model of Marglin which claims that the steady state of capitalist economies is plagued by secular inflation. We show that this implication need not be true from the perspective of a more general steady state analysis and that the Marglin model can be embedded into a general Keynes‐Marx‐Friedman or Keynes‐Wicksell framework where money is superneutral, where therefore inflation is due solely to excessive monetary growth, where the private sector is basically asymptotically stable and where there is a steady state rate of employment that differs from the 'natural' rate of employment of monetarist models of inflation. We consider this model a benchmark model that requires equally general alternatives if the above implications are to be rejected.