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.     

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     

A monetary theory with non-degenerate distributions

We construct and analyze a tractable search model of money with a non-degenerate distribution of money holdings. Analytical tractability comes from modeling decentralized exchange as directed search, which makes the monetary steady state block recursive. By adapting lattice-theoretic techniques, we characterize individuals? policy and value functions, and show that these functions satisfy the standard conditions of optimization. We prove that a unique monetary steady state exists and provide conditions under which the steady-state distribution of buyers over money balances is non-degenerate. Moreover, we analyze the properties of this distribution.     

The theory of fiat money and private money as alternative media of exchange

A random-matching model with a clearinghouse is constructed to investigate the impact of private money on economic efficiency and social welfare in three monetary regimes. A subset of agents, called bankers, whose credit histories are recorded by the clearinghouse, are allowed to issue private banknotes in order to consume. Those private liabilities may serve as media of exchange, either by themselves, or alongside a stock of fiat money. Under certain conditions, welfare in a monetary steady state with private money is strictly higher than that attained in a steady state where private money is prohibited.     

Stationary monetary equilibria with strictly increasing value functions and non-discrete money holdings distributions: An indeterminacy result

In this paper, we present a search model with divisible money in which there exists a continuum of monetary equilibria with strictly increasing continuous value functions and with non-discrete money holdings distributions.     

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     

Existence of a continuum of equilibria in a monetary random-matching model

In this paper, we study a monetary random-matching model where both goods and money are perfectly divisible, production is costly, and there is no exogenous upper bound on agents' money holdings, information on which is private to the agent. We show that there is a continuum of stationary equilibria where agents have either no money or a set amount, and buyers spend all their money. As in the previous studies, the equilibrium value function is step-like, which emerges as a self-fulfilling prophecy. The endogenous upper bound on agents' money holdings is the result of private information on agents' money holdings. Buyers post an offer that is accepted only by sellers without money, who set a higher value on money.     

Collateral fluctuations in a monetary economy

This paper studies economy-wide fluctuations that occur endogenously in the presence of monetary and real assets. Using a standard monetary search model, we consider an economy in which agents can increase consumption, over and above what their liquid monetary asset holdings would allow, pledging real assets as collateral for monetary loans. It is shown that, if the liquidation value of real assets is below full market value, a stable cyclical equilibrium can emerge in consumption and capital around the unstable steady state. We also provide conditions for the existence of cycles of higher order, chaos and sunspot equilibria.     

Money-Hoarding as a Behaviour Towards Uninsured Idiosyncratic Risk

This paper explores the implications of the presence of uninsured idiosyncratic risks for the hoarding of intrinsically useless fiat money in an overlapping-generations model. It is shown that: (a) monetary equilibria exist in almost all cases; (b) the valuation of money is not necessarily Pareto-improving since the non-monetary steady state may Pareto-dominate the monetary one; and (c) the accelerating inflation may, moreover, reduce the long-run capital stock.
JEL Classification Number: E41.     

货币紧缩、产权性质与公司现金持有

宏观经济政策如何影响公司微观行为是最近几年比较新的领域。本文运用中国上市公司2001—2011年的年度数据,探讨了货币紧缩政策对公司现金持有的影响以及产权性质对这种影响的作用。本文发现,货币紧缩政策对公司的现金持有具有负向影响,即处于货币政策紧缩阶段,公司的现金持有会显著减少。相比于国有企业,货币紧缩政策对民营企业的现金持有影响更大,民营企业的现金持有在货币紧缩阶段减少得更多。本文进一步分析发现,在货币紧缩阶段,公司当期投资并未出现下降。这说明在货币紧缩阶段,为确保当期投资顺利进行,公司会使用自有现金来补充由于银行信贷减少引起的资金不足。     

WEALTH,ASSET PORTFOLIO,MONEY DEMAND AND POLICY RULE

I look at the linkages between monetary policy and asset wealth using quarterly data for the USA. I show that a positive interest rate shock leads to a fall in aggregate wealth and an important change in portfolio composition: housing wealth gradually decreases, but the effects are very persistent; and financial wealth quickly shrinks, but the impact is short‐lived. I also find that the money market can be characterized as follows: (i) the money demand has a large interest elasticity and a small output elasticity; and (ii) the estimated monetary policy reaction function highlights the special focus given by the central bank to developments in monetary aggregates. These features call for an approach whereby monetary authorities put more emphasis on tracking wealth developments, in particular, given the asset portfolio rebalancing between money holdings and financial and/or housing assets.     

Consumption tax and economic growth in an overlapping generations model with money holdings

This paper examines the effect of a consumption tax on economic growth using an overlapping generations (OLG) model with money holdings. We show that the neutrality of the consumption tax does not hold in the money-in-the-utility-function model, because a change in consumption taxation induces the substitution of money holdings for consumption, and the money is the net wealth within the OLG structure. An increase in the consumption tax rate lowers (raises) the growth rate under a low (high) monetary expansion rate. On the other hand, in the cash-in-advance model and the money-in-the-production-function model, the neutrality of consumption taxation holds even within the OLG structure, because in these models there is no substitution of consumption and money holdings.     

The impact of economic and monetary uncertainty on the demand for money in emerging economies

By introducing uncertainty, monetary volatility and economic volatility are said to make the public cautious, hence increase their cash holdings or their demand for money. On the other hand, because of monetary and economic uncertainty if the public seek safer assets than money, they may hold less cash. In the absence of any paper testing for the impact of economic and monetary uncertainty on the demand for money in emerging economies, this article fills the gap by considering the experiences of six Central and Eastern European emerging economies and four other emerging economies. We found that the impact is transitory in most countries. Moreover, money demand is found correctly specified and stable in most countries, suggesting that policy based on monetary targeting could still be effective despite significant output and monetary uncertainty.     

A uniqueness proof for monetary steady state

The framework in Lagos and Wright (2005) [20] combining decentralized and centralized markets is used extensively in monetary economics. Much is known about that model, but there is a loose end: only under special assumptions about bargaining power or decentralized market preferences has it been shown that the monetary steady state is unique. For general decentralized market utility and bargaining, I prove uniqueness for generic parameters with fiat money, and for all parameters with commodity money. As a corollary, I get monotone comparative statics.     

Money,nonconvex preferences,and the existence of equilibrium: A note

Nonconvexities play a major role in several theories of money. This note suggests an additional such role. In particular, an economy is presented which fails to have a competitive equilibrium in the absence of fiat money. When fiat money is present, a steady-state competitive, equilibrium does exist and has the feature that money necessarily has value. This is because in any steady state, monetary equilibrium relative prices are bounded in such a way that the discontinuous portions of excess demand functions may become irrelevant.     

AVOIDING THE INFLATION TAX*

I study the effects of inflation on the purchasing behavior of buyers in the Lagos–Wright monetary economy. The standard framework fails to capture the long‐standing intuition that when inflation increases, agents try to spend their money holdings speedily. I propose a simple, realistic extension in which buyers can rebalance their money holdings only sporadically (i.e., not every period). I show that, in such a case, higher inflation can induce buyers to spend their money faster by frontloading their consumption and searching more intensively for transactions. These trade distortions have, traditionally, been associated with the economic costs of inflation.     

Family allowances as welfare improvements

The present paper studies the equilibria of a simple overlapping generations model of pure exchange in which money is traded. There is a continuum of agents in each generation and population growth is endogenous via voluntary decisions on children. Any monetary steady state has to satisfy the golden rule that the interest rate equals the growth rate. Still such a monetary steady state may be inefficient. If raising children is not excessively profitable, then there exists a transfer scheme, in favor of those who raise children, which improves upon the steady state.     

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.     

On the demand for money in the United States

One of the current issues in the literature on the demand for money is whether the adjustment of actual to desired money holdings is in real or nominal terms. This paper tests the real against the nominal adjustment hypothesis using United States data. Comparisons are made among simple sum and Divisia aggregates (of M1, M2, M3, and L) and with Spindt's monetary velocity (MQ) aggregate. The results strongly support the nominal adjustment hypothesis, but they do not reveal a single uniformly best monetary aggregate.     

Liquidity-profit rate cycles in a capitalist economy

A monetary economy consisting of independent capitalist firms, in which workers spend wages instantly and labor is not scarce, is studied The firms create demand for each other's output through their capital outlays, and create the backing for money through borrowing. When all firms are identical in behavior and initial conditions, and the rate of growth of money is constant, the economy may be unstable around the equilibrium steady state growth path due to strong accelerator effects, and follow a limit cycle trajectory.