Money,liquidity and welfare

This paper develops an analytically tractable Bewley model of money demand to shed light on some important questions in monetary theory, such as the welfare cost of inflation. It is shown that when money is a vital form of liquidity to meet uncertain consumption needs, the welfare costs of inflation can be extremely large. With log utility and parameter values that best match both the aggregate money demand curve suggested by Lucas (2000) and the variance of household consumption, agents in our model are willing to reduce consumption by 3–4% to avoid 10% annual inflation. The astonishingly large welfare costs of inflation arise because inflation increases consumption risk by eroding the buffer-stock-insurance value of money, thus hindering consumption smoothing at the household level. Such an inflation-induced increase in consumption risk at the micro level cannot be captured by representative-agent models or the Bailey triangle. Although the development of financial intermediation can mitigate the problem, with realistic credit limits the welfare loss of moderate inflation still remains several times larger than estimations based on the Bailey triangle. Our findings provide a strong justification for adopting a low inflation target by central banks, especially in developing countries where money is the major form of household financial wealth.     

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.     

State-dependent pricing, inflation, and welfare in search economies

We investigate the welfare effects of inflation in economies with search frictions and menu costs. We first analyze an economy where there is no transaction demand for money balances: Money is a mere unit of account. We determine a condition under which strictly positive inflation is desirable. We relate this condition to a standard efficiency condition for search economies. Second, we consider a related economy in which there is a transaction role for money. In the absence of menu costs, the Friedman rule is optimal. In the presence of menu costs, the optimal inflation rate is negative for our numerical examples provided menu costs are small. A deviation from the Friedman rule can be optimal depending on the extent of the search externalities.     

Reconsidering the welfare cost of inflation in the US: a nonparametric estimation of the nonlinear long-run money-demand equation using projection pursuit regressions

This paper, first, estimates the appropriate, log–log or semi-log, linear long-run money-demand relationship capturing the behavior US money demand over the period of 1980:Q1–2010:Q4, using the standard linear cointegration procedures found in the literature, and the corresponding nonparametric version of the same based on projection pursuit regression (PPR) methods. We then, compare the resulting welfare costs of inflation obtained from the linear and nonlinear money-demand cointegrating equations. We make the following observations: (i) the appropriate money-demand relationship for the period of 1980:Q1–2010:Q4 is captured by a semi-log function; (ii) based on the estimation of semi-log cointegrating equations, the welfare cost of inflation was found to at the most lie between 0.0131 % of GDP and 0.2186 % of GDP for inflation rates between 0 and 10 %, and; (iii) in comparison, the welfare cost of inflation obtained from the semi-log non-linear long-run money-demand function, derived using the PPR method, for 0–10 % of inflation ranges between 0.4930 and 1.9468 % of GDP. However, the standard errors associated with the welfare cost estimates obtained from PPR relative to the linear models tend to indicate that the nonlinear money demand provides more precise estimates of the welfare costs primarily for higher rates of inflation.     

STICKY PRICES AND COSTLY CREDIT

We develop a theory of money and credit as competing payment instruments, then put it to work in applications. Agents use cash and credit because the former (latter) is subject to the inflation tax (transaction costs). Frictions that make the choice of payment method interesting also imply equilibrium price dispersion. We derive closed-form solutions for money demand, and show how to simultaneously account for the price-change facts, cash–credit shares in micro data, and money-interest correlations in macro data. The effects of inflation on welfare, price dispersion and markups are discussed, as are nonstationary equilibria with dynamics in the price distribution.     

Currency substitution,inflation, and welfare

Currency substitution affects the mapping between social welfare and inflation by altering the underlying money demand function and influencing interest rates. In order to explore the essence of this effect, I build a model with working capital under which foreign currency is substituted with the less liquid components of domestic money. The framework closely mimics the actual pattern of currency substitution across varying rates of inflation and enables the study of an additional channel that works through the impact of currency substitution on interest rates. It is found that there is a threshold inflation rate, which turns out to be 44% under baseline calibration, below which currency substitution decreases welfare and vice versa. A practical implication is that, at inflation rates lower (greater) than the threshold, the potential welfare gains from disinflation to a near-zero inflation rate are higher (lower) if there is currency substitution than otherwise.     

COMPARING PARTIAL AND GENERAL EQUILIBRIUM ESTIMATES OF THE WELFARE COST OF INFLATION

Reserve banks worldwide have been moving towards zero inflation policies. Confusion clouds the welfare cost of maintaining such inflation policies despite the best attempts at clarification. Monetary theory research has shifted from partial to general equilibrium economies. This shift has left the partial equilibrium estimates of the welfare cost of inflation below most of the general equilibrium estimates. Put on a comparable basis, partial equilibrium estimates compare more closely with the general equilibrium estimates. Furthermore, evidence suggests that integration under the money demand function appears applicable in general equilibrium economies. Finally, the estimates depend on the elasticities of money demand and the underlying structural parameters.     

Nonlinearity in monetary policy: A reconsideration of the opportunistic approach to disinflation

The proponents of the ‘opportunistic’ approach to disinflation suggest that, when inflation is close to the target, the central bank should not counteract inflationary pressures. Orphanides and Wilcox (2002) formalize this idea through a simple policy rule that prescribes a nonlinear adjustment to a history-dependent target for inflation. This embodies a regime change in monetary policy, which reacts to inflation only when this is far from the inflation target. Here we study the opportunistic approach in a New-Keynesian model with sizeable nominal and real rigidites in the form of a positive money demand and adjustment costs for investment. We find that the welfare gains delivered by the opportunistic rule arise from the time-varying inflation target, when welfare is measured by a quadratic approximation of household utility. The nonlinear zone of inaction on inflation improves welfare outcomes only when a central bank loss function with the absolute value of the output gap is used, as proposed by Orphanides and Wilcox (2002).     

不完全资本市场、预防性储蓄与通货膨胀的福利成本分析

本文假设不完全资本市场条件下个体的自我保险为持币的主要动机,在总体风险和个体风险的框架下,讨论了通货膨胀对异质个体福利的影响。研究表明:对于像中国这样一个有很强信贷约束的不完全资本市场国家,本方法比传统基于MIU和CIA的模型更能反映通货膨胀对中国居民福利的影响。传统的方法低估了对像中国这样的国家中个体的通货膨胀福利成本。此外研究还表明,平均失业期对个体造成的通货膨胀成本影响很大。那些没有储蓄计划个体的出现减少了所有个体的平均福利。通过对总体风险的讨论,我们发现较高的失业率(平均失业期)将大大增加通货膨胀的成本,而工作分享计划则是一种降低通货膨胀成本的好措施。     

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。     

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.     

On the short-run and long-run demand for money

This paper makes precise the relationships between short-run and long-run demand for money, using methods commonly employed in growth models. It estimates these demand functions with quarterly French data and tests the validity in France of the modern version of the quantity theory of money. The effects of inflation on the demand for money are studied both in the short run and the long run. The speed of adjustment of money balances towards their long-run level is measured.     

MONEY HOLDINGS,INFLATION, AND WELFARE IN A COMPETITIVE MARKET*

This article examines an environment where money is essential and agents exchange in perfectly competitive, Walrasian markets. Agents consume and produce a homogeneous good, but hold money to purchase consumption in the event of a relatively low productivity shock. A Walrasian market delivers a nondegenerate distribution of money holdings across agents and avoids some of the computational difficulties associated with the market assumption of bilateral bargaining common to search‐theoretic environments. The model is calibrated to long‐run U.S. velocity, and the welfare costs of inflation are assessed for variable buyer–seller ratios and persistent states of buying and selling.     

Does money have a role in the inflation process? Evidence from Australia

Inflation, defined as a sustained increase in the price level, is considered a monetary phenomenon, as it can be explained within the framework of money‐demand and money‐supply relationships. In the extant literature, money growth is shown to remain causally related to inflation across countries and over time, irrespective of the exchange rate regime and stability of the money‐demand function. Nevertheless, emerging literature suggests a diminishing role of money in the conduct of monetary policy for price stability, especially under inflation targeting. Monetary policy in Australia under inflation targeting since 1993 is an example of policy that denies a relationship between money growth and inflation. The proposition that money does not matter insofar as inflation is concerned seems odd in both theory and the best‐practice monetary policy for price stability. This paper uses annual data for the period 1970–2017 and quarterly data for the period 1970Q1–2015Q1. It deploys both the Johansen cointegration approach and the autoregressive distributed lag (ARDL) cointegration approach to investigate for Australia whether money, real output, prices and the exchange rate (non‐stationary variables) maintain the long‐run price‐level relationship that the classical monetary theory suggests in the presence of such stationary variables as the domestic and foreign interest rates. As expected, the empirical findings for Australia are consistent with the classical long‐run price‐level relationship between money, real output, prices and the exchange rate. The error‐correction model of inflation confirms the presence of a cointegral relationship among these variables; it also provides strong evidence of a short‐run causal relationship between money supply growth and inflation. On the basis of a priori theoretical predictions and empirical findings, the paper draws the conclusion that the monetary aggregate and its growth rate matter insofar as inflation is concerned, irrespective of the strategy of monetary policy for price stability.     

Fiscal and monetary effects on environmental quality,growth, and welfare

This paper examines the effect of fiscal and monetary policies on economic growth, inflation, environmental quality, and welfare. To this end, the horizontal-R&D growth model is extended to include pollution generated in the intermediate-goods production, and the demand for money through cash-in-advance (CIA) constraints on intermediate-goods production and R&D investment. Fiscal policy embodied in the taxation of pollution decreases output, profits, inflation, and wages in the intermediate-goods sector, reallocating labor to R&D that is the engine of economic growth. As it reduces pollution, it increases welfare if there are strong preferences for a clean environment. In turn, since the inflation rate is an increasing function of the nominal interest rate, the effects of changes in this monetary policy variable extend to the effects of changes in the inflation rate. An increase in the nominal interest rate penalizes employment, wages and output in the R&D sector relatively more if the respective CIA constraint is more demanding and thus economic growth decreases. As it also reduces pollution since decreases intermediate-goods production, it increases welfare if the preferences for a clean environment are strong enough.     

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.     

How justified is abandoning money in the conduct of monetary policy in Australia on the grounds of instability in the money‐demand function?

The role of money in the design and conduct of monetary policy has reemerged as an important issue in both advanced and developing economies, especially since the 2007 global financial crisis. A growing body of recent literature suggests that the causal relationship between money supply growth and inflation remains intact across countries and over time and that this relation is not conditional on the stability of the money‐demand function or whether money is endogenous or exogenous. Moreover, critical for a rule‐based monetary policy is the presence of a long‐run stable money‐demand function, rather than a short‐run money‐demand model that may exhibit instability for many reasons, including problems with estimating a money‐demand model with high‐frequency data. Provided that a stable money‐demand function exists, it could be useful to establish long‐run equilibrium relations among money, output, prices, and exchange rates, as the classical monetary theory suggests. Within this analytical framework, this paper addresses the question of whether money has any role in the conduct of monetary policy in Australia. The conventional wisdom is that the money‐demand function in Australia has been unstable since the mid‐1980s due to financial deregulation and reforms; this led to a change in the strategy of monetary policy for price stability in the form of inflation targeting that ignores money insofar as inflation and its control are concerned. This paper reports empirical findings for Australia, obtained from a longer quarterly data series over the period 1960Q1–2015Q1, which suggest that instability in the narrow‐money‐demand function in Australia was primarily due to the exclusion of variables which have become important in the deregulated environment since the 1980s. These findings are confirmed by an expanded form of the narrow‐money‐demand function that was found stable over the past two decades, although it experienced multiple structural breaks over the study period. The paper draws the conclusion that abandoning the monetary aggregate as an instrument of monetary policy in Australia, under a rule‐based monetary policy such as inflation targeting, cannot be justified by instability in the money‐demand function or even by lack of a causal link between money supply growth and inflation.     

Monetary policy with linear information costs

The paper adresses the problem of a monetary economy with costs of information, imposed in linear form. In particular, we make use of a strategic market game with money where equilibria are standardly non-Walrasian, permitting an active role to monetary policy. The imposition of information costs alters the demand of real balances since traders demand extra money for gathering and processing the necessary information. As a result, money injections could be proved welfare improving only when the induced information costs do not offset the resulted gains to trade.     

Monetary policy and efficiency in over‐the‐counter financial trade

We develop a monetary model that incorporates over‐the‐counter (OTC) asset trade. After agents have made their money holding decisions, they receive an idiosyncratic shock that affects their valuation for consumption and, hence, for the unique liquid asset, namely money. Subsequently, agents can choose whether they want to enter the OTC market in order to sell assets and thus boost their liquidity or to buy assets and thus provide liquidity to other agents. In our model, inflation affects not only the money holding decisions of agents, as is standard in monetary theory, but also the entry decision of these agents in the financial market. We use our framework to study the effect of inflation on welfare, asset prices and OTC trade volume. In contrast to most monetary models, which predict a negative relationship between inflation and welfare, we find that inflation can be welfare improving within a certain range, because it mitigates a search externality that agents impose on one another when they make their OTC market entry decision. Also, an increase in the holding cost of money will lead to a decrease in asset prices, a regularity that is well documented in the data and often considered anomalous.     

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.