PRICE DISPERSION,INFLATION, AND WELFARE*

We examine the implications of inflation for both price dispersion and welfare in a monetary search economy. In our economy, if the degree of buyers' incomplete information about prices is fixed, both price dispersion and real prices are increasing in inflation. As the inflation rate approaches the Friedman rule, both price dispersion and welfare losses vanish. If households choose the number of prices to observe, then the optimal inflation rate may exceed the Friedman rule as inflation induces search and, up to a point, raises welfare by eroding market power.     

Optimal monetary policy and economic growth

A question at the center of many analyses of optimal monetary policy is, why do central banks never implement the Friedman rule? To the list of answers to this question, we add neoclassical production (specifically, the Tobin effect) as one possible explanation. To that end, we study an overlapping generations economy with capital where limited communication and stochastic relocation create an endogenous transactions role for fiat money. We assume a production function with a knowledge externality (Romer style) that nests economies with endogenous growth (AK form) and those with no long-run growth (the Diamond model). The Tobin effect is shown to be always operative. Under CRRA preferences, a mild degree of social increasing returns is sufficient (but not necessary) for some positive inflation to dominate zero inflation and for the Friedman rule to be sub-optimal, irrespective of the degree of risk aversion.     

Openness and interest rates: An analysis using the MIUF model and transaction cost model of money

This paper discusses the manner in which the difference in the specification, which generates a demand for money by agents, alters the optimal interest rate in open economies by taking into account that the prices reflect the producers' optimization. In acanonical money-in-the-utility function (MIUF) model, the Friedman rule is optimal. On the other hand, in the transaction cost model, the optimal interest rate is positive and increases, in terms of the share of imports in consumption.     

通货膨胀、政府收益与社会福利损失

传统"Cagan规则"认为,政府通货膨胀税收益最大化的条件是,通货膨胀率应该为(货币需求关于)利率半弹性的倒数。这一规则是局部均衡条件下的结果,并未考虑通胀的实际经济效应。本文基于交易成本方法在一般均衡框架内讨论收益最大化时通货膨胀率的决定问题。该框架中收益最大化的通货膨胀率小于Ca-gan规则值,这一结论得到了中国1945—1949年恶性通胀时期经验数据的支持。经验结果还表明,相对于Cagan规则,根据交易成本方法设定的通货膨胀率尽管并没有明显提高政府的通货膨胀税收益,却大幅降低了社会福利损失。     

(In)determinacy, increasing returns, and the optimality of the Friedman rule in an endogenously growing open economy

This paper sets up a monetary endogenous growth model with Benhabib–Farmer production externalities for an open economy, and then uses it to investigate the possibility of indeterminacy. Moreover, the paper examines how the monetary authorities will set its optimal anchor of the money growth rate from the viewpoint of welfare maximization. Several main findings emerge from the analysis. First, when investment does not involve adjustment costs, the monetary equilibrium is locally determinate regardless of the strength of the labor externality and the extent of world capital market imperfections. Second, in the presence of investment adjustment costs, the monetary equilibrium may exhibit indeterminacy when the aggregate increasing returns-to-scale in production is sufficiently strong. Third, in the presence of world capital market imperfections, the Friedman rule of a zero nominal interest rate fails to be optimal. Fourth, in the face of perfect world capital markets, the optimal nominal money growth rate is maintained at the rate that is conformable to the Friedman rule, regardless of whether investment involves adjustment costs or not.     

Credit and inflation under borrower?s lack of commitment

In this paper we study the effects of monetary policy on privately supplied credit in model economies where money is needed for transaction purposes and agents who default on their loans cannot participate in the credit market but are allowed to accumulate money. In our deterministic benchmark economy where agents alternate in productivity, credit has the role of smoothing consumption. We show that deflation crowds out credit completely. The reason is that deflation increases the value of being excluded from the credit market and eliminates the incentive to repay loans. When inflation is positive but low, credit, consumption smoothing and welfare increase with inflation, until inflation reaches a threshold at which the allocation is efficient and money becomes superneutral.     

Liquidity risk, economic development, and the effects of monetary policy

Empirical evidence indicates that monetary policy is not super-neutral in many countries. In particular, in high inflation economies, inflation is negatively related to economic activity. By comparison, inflation may be positively correlated with output in low inflation countries. We present a neoclassical growth model with money in which the incidence of liquidity risk is inversely related to aggregate capital formation. Interestingly, there may be multiple monetary steady-states where the effects of monetary policy vary. In poor economies, the financial system is highly distorted and higher rates of money growth are associated with less capital formation. In contrast, in advanced economies, a Tobin effect is observed. Since inflation exacerbates distortions from a coordination failure in the low-capital steady-state, individuals become much more exposed to liquidity risk. Consequently, optimal monetary policy depends on the level of development.     

The Optimality of a Zero Inflation Rate with Menu Costs: Australia

This paper juxtaposes the policy trend towards a zero inflation rate against the theoretical standard of optimal deflation at the real interest rate. It extends an example monetary economy to include a simple form of nominal adjustment costs and calibrates the model with recent evidence on Australian money demand. There is a critical value that the calibrated parameter for menu costs must exceed in order for a zero inflation rate to be optimal. An inflation rate of –2 per cent to 0 per cent is found to be optimal. The quantitative results, of whether inflation-adjustment costs imply a zero inflation rate policy for Australia, are tempered by the abstraction of the model and its sensitivity to parameters. Qualitatively, the paper shows the effects of changes in the adjustment cost function and in the structural parameters.     

Friedman meets Becker and Mulligan in a monetary neoclassical growth model

We study a neoclassical growth model with the time preference determined by resources spent on imagining future pleasures along the line of Becker and Mulligan (Q J Econ 112:729–758, 1997). We introduce money into the economy via a cash-in-advance constraint and study the effect of higher seignorage taxes or higher monetary growth rates on capital, consumption and welfare in the long run. We find that if the fraction of investment constrained by cash is smaller than a threshold, the negative-monetary-growth Friedman (The Optimum Quantity of Money and Other Essays, 1969) rule does not hold and the optimal inflation rate is positive. Calibrating our model yields a mild optimal inflation rate per annum with a switch from zero inflation to optimal inflation creating a sizable welfare gain in terms of consumption equivalence.     

A long-run,short-run,and politico-economic analysis of the welfare costs of inflation

The long-run, short-run, and politico-economic welfare implications of inflation are assessed in a Bewley model of money demand. All agents produce and consume every period, and hold money to self-insure against idiosyncratic risk. The model is calibrated so the equilibrium monetary distribution shares features with US data. The long-run welfare costs of inflation are shown to be large because inflation reduces the ability of money to mitigate risk. However, the beneficial redistributive effect of inflation is magnified along the short-run transition and reduces the overall costs. These short-run benefits result in a majority-rule inflation rate above the Friedman Rule.     

The Optimal Rate of Inflation When Capital is Taxed

A simple ‘AK’ model of growth is developed in which consumers hold money to reduce transaction costs associated with their purchases of both consumption and investment goods. The government is constrained to choosing between an income tax and inflation as means of financing its expenditure. As a result, there is no presumption in favor of Friedman’s (1969) rule. Numerical simulations are conducted and generally find a low to moderate welfare maximizing rate of inflation.     

INFLATION,OUTPUT, AND WELFARE*

We study the effects of anticipated inflation on aggregate output and welfare within a search‐theoretic framework. We consider two pricing mechanisms: ex post bargaining and a notion of competitive pricing. Under bargaining, the equilibrium is generically inefficient and an increase in inflation reduces buyers' search intensities, output, and welfare. If prices are posted and buyers can direct their search, search intensities are increasing with inflation for low inflation rates and decreasing for high inflation rates. The Friedman rule achieves the efficient allocation, and inflation always reduces welfare, although it can have a positive effect on output for low inflation rates.     

Optimal fiscal and monetary policy under sticky prices

This paper studies optimal fiscal and monetary policy under sticky product prices. The theoretical framework is a stochastic production economy. The government finances an exogenous stream of purchases by levying distortionary income taxes, printing money, and issuing nominal non-state-contingent bonds. The main findings of the paper are: First, for a miniscule degree of price stickiness (i.e., many times below available empirical estimates) the optimal volatility of inflation is near zero. Second, small deviations from full price flexibility induce near random walk behavior in government debt and tax rates. Finally, price stickiness induces deviation from the Friedman rule.     

The (Q,S,s) pricing rule: a quantitative analysis

Are nominal prices sticky because menu costs prevent sellers from continuously adjusting their prices to keep up with inflation or because search frictions make sellers indifferent to any real price over some non-degenerate interval? The paper answers the question by developing and calibrating a model in which both search frictions and menu costs may generate price stickiness and sellers are subject to idiosyncratic shocks. The equilibrium of the calibrated model is such that sellers follow a (Q,S,s) pricing rule: each seller lets inflation erode the effective real value of the nominal prices until it reaches some point s and then pays the menu cost and sets a new nominal price with an effective real value drawn from a distribution with support [S, Q], with s < S < Q. Idiosyncratic shocks short-circuit the repricing cycle and may lead to negative price changes. The calibrated model reproduces closely the properties of the empirical price and price-change distributions. The calibrated model implies that search frictions are the main source of nominal price stickiness.     

COMPENSATION FOR QUALITY DIFFERENCE IN A SEARCH MODEL OF MONEY*

We study an economy in which there is always double coincidence of wants, agents have perfect information about qualities of goods, and there are no transaction costs. The hold‐up problem arises because efforts invested in improving quality prior to search may not be compensated in the market. Situations in which barter fails to motivate quality improvement are identified. With money, however, the extra effort in quality improvement will be compensated when high‐quality good producers trade with agents holding both the low‐quality good and money. Injection of money can induce almost all agents to produce the high‐quality good.     

Liquidity Preference and Financial Intermediation

We examine the characteristics of optimal monetary policies in a general equilibrium model with incomplete markets. Markets are incomplete because of uninsured preference uncertainty, and because productive capital is traded infrequently. Rational individuals are willing to hold a liquid asset—"money"—at a premium. Monetary policy interacts with existing financial institutions to determine this premium, as well as the level of precautionary holdings. We show that inflation is expansionary, and that the optimal inflation rate is positive if there is no operative banking system (the Tobin effect). Otherwise, efficiency requires that money be undominated in its rate of return (the Friedman Rule).     

EQUILIBRIUM GROWTH IN A MONETARY ECONOMY WITH TRANSACTIONS COSTS*

The paper describes a dynamic general equilibrium monetary economy with technological primitives that are consistent with the possibility of asymptotic equilibrium growth. The paper focuses on the relationship between equilibrium financing constraints on investment goods, transaction costs and economic growth. A generalized growth condition is derived that involves both monetary growth rates and transaction costs. The condition is used to show that (i) although inflation taxes can potentially exert a negative influence on long-run economic growth, these growth effects cannot in general be arbitrarily large; and (ii) for some monetary growth rates, money is superneutral in contrast to the models of Stockman and Abel. Numerical work indicates that although the welfare and growth effects of decreasing nominal interest rates from a benchmark are large, the costs associated with raising nominal interest rates from benchmark are not.     

Optimal monetary and fiscal policies in a search theoretic model of monetary exchange

Search models of monetary exchange commonly assume that terms of trade in anonymous markets are determined via Nash bargaining, which generally causes monetary equilibrium to be inefficient. Bargaining frictions add to the classical intertemporal distortion present in most monetary models, whereby agents work today to obtain cash that can be used only in future transactions. In this paper, we study the properties of optimal fiscal and monetary policy within the framework of Lagos and Wright (2005). We show that fiscal policy can be implemented to alleviate underproduction while money is still essential. If lump sum monetary transfers are available, a production subsidy can restore the efficiency of monetary equilibria. The Friedman rule belongs to the optimal policy set, but higher inflation rates are also possible. When lump-sum monetary transfers are not available, equilibrium allocations are generally not first-best. Nevertheless, fiscal policy still results in substantial welfare gains. Money can be extracted from circulation via a sales tax on decentralized market activities, and the Friedman rule is only optimal if the buyer has relatively low bargaining power.     

Search cost,trading strategies and optimal market structure

The theory of Walrasian equilibrium yields a set of prices at which the aggregate competitive demand for each commodity equals its aggregate competitive supply. However, even at equilibrium prices the theory of competitive equilibrium does not explicitly offer explanation regarding the manner in which trades are actually executed. This paper considers a model where trade takes place in a decentralized fashion and examines in a dynamic game-theoretic framework, the role of social institution of money and markets in facilitating exchange. The steady state Nash equilibrium derived in the paper demonstrates how, depending on the level of transaction costs associated with a market setup (synonymously, trading posts to exchange possible pairs of goods) appropriate monetary trade emerges, which like a hub and spoke network (Starr and Stinchcombe, 1999) makes some markets non-functioning and in equilibrium only the markets having trade through the medium of exchange continue to exist. However, despite the obvious advantages of a market setup in reducing search costs, pure random search for a complementary trading partner (as considered by Ostroy and Starr, 1974; Kiyotaki and Wright , 1989; and others) prevails in many economies, especially, in many developing economies. This paper models this feature of developing economies by introducing differences in transaction costs across agents and shows why sustainable equilibria might exist exhibiting random search for certain commodities even in the presence of established markets.