optimal monetary policy in a cash in advance economy i introduction this paper addresses the issue of optimal monetary policy within a particular general equilibrium model of the monetary transmission mechanism the model analyzed is a member of the recent class of liquidity models of the monetary business cycle 1 these liquidity models are something of a growth industry partly because they are potentially consistent with a monetary equilibrium in which monetary injections drive down nominal rates of interest and stimulate real activity stylized facts supported by evidence presented in for example christiano and eichenbaum 1992 an unexplored question is the role of monetary policy in these models this paper makes an attempt at remedying this deficiency by analyzing optimal monetary policy in a model with liquidity effects as in the liquidity models mentioned above the model analyzed here is constructed by imposing two trading frictions on an otherwise frictionless arrow debreu environment 2 the first is a requirement that all transactions be carried out in a decentralized fashion with the use of cash this friction is the well known cash in advance constraint first suggested by clower 1967 but now quite commonplace in models of monetary equilibrium as in lucas and stokey 1987 and cooley and hansen 1989 i impose this constraint because it is a tractable way of introducing a transactions demand for cash the qualitative results would be unaffected if a more general transactions technology was employed the second friction is unique to the liquidity models i assume that private agents cannot quickly move cash across markets this assumption of sluggish cash flow presumably motivated by transactions costs that are not explicitly modeled implies that cash may not be equally valued across markets with its value in a particular market determined by the amount of cash or liquidity contained in the market this friction introduces the so called liquidity effects on asset prices and real activity the paper proceeds as follows the next section develops the basic model and discusses the effects created by the assumed trading frictions section iii explores optimal monetary policy the nature of the trading frictions introduces a role for activist monetary policy in particular to the extent that the central bank can adjust liquidity more rapidly than the private sector there is a welfare improving role for monetary policy in some cases interest rate smoothing is a good idea while in others optimal policy will increase interest rate variability section iv links the results to the optimum quantity of money literature and offers up a few conclusions ii a model of monetary non neutrality the economy is populated with three types of agents households firms and financial intermediaries there are numerous identical agents of each type so that all behave as atomistic competitors given this assumption i will confine my discussion to a representative agent of each type the representative household is made up of two members a shopper and a worker the shopper s role is to use the household s assets to acquire consumption goods during each period while the worker supplies some portion of the household s time endowment equal to 1 each period to firms in exchange for payment the household s preferences over uncertain consumption and leisure streams are given by e summation of beta sup t u c sub t v 1 l sub t where t 0 to infinity where beta is an element of 0 1 c sub t and l sub t are time t consumption and work effort respectively v is increasing and concave and mathematical expression omitted the expectation is over realizations of the economy wide shocks the expression s sub t is an element of s subset r denotes the state of the world at time t where s is a compact set these states are i i d across time with a distribution function given by

the long run implications of the production smoothing model of inventories an empirical test summary this paper provides an empirical test of the long run implications of the production smoothing model of inventories the dominant framework for inventory investment research in the past intertemporal models of a firm holding inventories of finished goods predict a long run relationship between inventories shipments factor input prices and the real interest rate which is tested here using cointegration test procedures these tests provide little support for the predictions of the production smoothing model in most of the data sets used test statistics indicate that inventories shipments factor input prices the nominal interest rate and the inflation rate maintain a long run equilibrium relationship but parameter estimates of cointegrating vectors are often implausible typically rejecting hypotheses implied by structural models of the production smoothing motive for holding inventories

staggered contracts and the frequency of price adjustment this paper describes a methodology for measuring the frequency of price change in order to test the relevance of assuming prices to be set for discrete periods of time at overlapping intervals taylor 1980 has related the frequency of adjustment to the rigidity of the economy in responding to unanticipated events estimates of the frequency of price change are computed from data on the component parts of the deflator for personal consumption expenditure the results show a substantial decrease in the period between price changes during the middle 1960s and marked fluctuations in the 1970s the movements suggest changes in the rigidity associated with both changes in general price inflation and changes in the posture of the fiscal and monetary authorities

some empirical evidence on the production level and production cost smoothing models of inventory investment the production smoothing model of inventories has long been the basic paradigm within which empirical research on inventories has been conducted the basic hypothesis embedded in this model is that inventories of finished goods serve primarily to smooth production levels in the face of fluctuating demand and convex cost functions however once we allow for shocks to technology and the costs of producing output firms will also use inventories to shift production from periods in which production costs are relatively high to periods in which production costs are relatively low in this sense inventories can serve to smooth production costs rather production levels in this paper we examine the empirical plausibility of the production level and production cost smoothing models of inventories our basic strategy is to derive and contrast a set of unconditional moment restrictions implied by these models in a way that minimizes the role of auxiliary assumptions regarding market structure and industry demand we find overwhelming evidence against the production level smoothing model and very little evidence against the production cost smoothing mode1 we conclude that the variance of production exceeds the variance of sales in most manufacturing industries because the production cost smoothing role of inventories is quantitatively more important than the production level smoothing role of inventories this abstract was borrowed from another version of this item

money demand and the effects of fiscal policies this paper reexamines the choice of the scale variable in the money demand function a variety of evidence suggests that consumer spending is a better scale variable than gnp changing the money demand specification along these lines can profoundly affect the standard keynesian analysis of a tax cut copyright 1986 by ohio state university press

shrinking money the demand for money and the nonneutrality of money abstract we evaluate the macroeconomic implications of post world war ii money demand changes in two business cycle models the limited participation model and the sticky price model the sticky price model is invariant to changes in money demands however the limited participation model predicts the effect of a money shock on output rose by 100 percent between 1952 and 1980 and subsequently fell 65 percent this prediction is hard to reconcile with evidence that suggests the effects of monetary shocks are stable over time and suggests that goods market imperfections rather than asset market imperfections may be the driving force behind postwar u s monetary nonneutrality

the search for a stable money demand function a survey of the post 1973 literature phe question of whether the demnand function for money is stable is one of the most important recurring issues in the theory and application of macroeconomic policy what is being sought in a stable demand function is a set of necessary conditions for money to exert a predictable influence on the economy so that the central bank s control of the money supply can be a useful instrument of economic policy as such the notion of a stable demand function appears to involve three key elements e g john t boorman 1976 p 317 and david e w laidler 1977 pp 34 35 first the demand for money relation should be highly predictable in a statistical sense as measured by the usual goodness of fit statistics precision of estimated coefficients and presumably its ability to forecast accurately out of sample second a stable demand function for money has relatively few arguments a relationship that requires knowledge about a large number of variables in order to pin it down is in effect not predictable finally the variables that appear as arguments in the function should represent significant links to spending and economic activity in the real sector in sum a stable demand function for money means that the quantity of money is predictably related to a small set of key variables linking money to the real sector of the economy the importance of a stable money demand function for monetary policy can be illustrated with the standard is lm model in which interest rates and gnp are the endogenous variables in this context a stable demand function for money translates into a well defined relationship between money interest rates and gnp

liquidity loanable funds and real activity abstract this paper develops a general equilibrium model of two traditional explanations of the monetary black box linking money and real activity the liquidity effect and the loanable funds effect these effects are modeled with a monetary production economy in which central bank injections of cash are funnelled into the economy through the credit market since only borrowers have direct access to the newly injected cash monetary injections cause nominal interest rates to fall if firms are borrowers then monetary injections also increase current and future real activity

nonconvex costs and the behavior of inventories this paper explores one possible explanation for the apparent excess volatility of production relative to sales nonconvexities in the technology facing firms it is shown that if firms operate in a region of declining marginal costs then small shifts in demand can cause production to jump substantially estimates for six production to stock industries as well as the automobile industry suggest that all these industries behave as if they were operating in the region of nonconvex costs the results have important implications not only for inventory investment but also for the cyclical behavior of productivity and prices

the mis specification of production costs in production smoothing models estimation results obtained with production smoothing models are often imprecise and sensitive to normalisation rules it is argued here that production costs in these models can be better specified in terms of production factor costs the resulting factor demand model with inventories leads to more efficient estimation results and normalisation rules become even redundant furthermore the smoothing role of inventories with respect to production factors is discussed c 1997 elsevier science s a

the demand bargaining set the cooperative solution concept introduced here the demand bargaining set contains the core and is included in the zhou bargaining set eliminating the dominated coalition structures the demand vectors belonging to the demand bargaining set are self stable in the class of constant sum homogeneous weighted majority games the demand bargaining set is non empty and predicts a unique demand vector namely a proportional distribution within minimal winning coalitions the noncooperative implementation of the demand bargaining set is obtained for all the games that satisfy the one stage property

sticky prices new evidence from retail catalogs this paper presents new results on the size frequency and synchronization of price changes for twelve selected retail goods over the past 35 years three basic facts about the data are uncovered first nominal prices are typically fixed for more than one year although the time between changes is very irregular second prices change more often during periods of high overall inflation third when prices do change the sizes of the changes are widely dispersed both large and small changes occur for the same item and the sizes of these changes do not closely depend on overall inflation

monopolistic competition and the effects of aggregate demand how important is monopolistic competition to an understanding of the effects of aggregate demand on output we ask the question at three levels can monopolistic competition by itself explain why aggregate demand movements affect output can it together with other imperfections generate effects of aggregate demand in a way that perfect competition cannot if so can it give an accurate account of the response of the economy to aggregate demand movements the answers are no yes and yes

money prices interest rates and the business cycle the mechanisms governing the relationship of money prices and interest rates to the business cycle are the most studied and most disputed topics in macroeconomics in this paper we first document key empirical aspects of this relationship we then ask how well three benchmark rational expectations macroeconomic models a real business cycle model a sticky price model and a liquidity effect model account for these central facts while the models have diverse successses and failures none can account for the fact that real and nom inal interest rates are inverted leading indicators of real economic activity that is none of the models captures the post war u s business cycle fact that a high real or nominal interest rate in the current quarter predicts a low level of real economic activity two to four quarters in the future i introduction the positive correlation of monetary aggregates and real economic activity over the course of many business cycles is a key empirical fact about the u s economy indeed the dynamic dimension of this covariation is so strong and stable that a monetary variable has long been included in the commerce department s index of leading economic indica tors while this pattern of cyclical comovement is widely agreed upon its interpretation is not some macroeconomists view money as purely passive with a positive response to varying levels of economic activity producing the positive correlation others view changes in the quantity of money as an important perhaps dominant source of economic fluctua tions frequently the real effects of monetary changes are suggested to arise from frictions in commodity labor or financial markets in economic theories that describe the influence of these frictions the transmission mechanism from monetary changes to real activity is typically viewed as involving interest rates and the price level the primary goal of this paper is to evaluate three models that explain the link between money prices interest rates and the business cycle we do this in three steps first we docu ment the cyclical behavior of these variables in the united states over the postwar period second we construct three quantitative rational expectations models of macroeconomic activity i a real business cycle model with endogenous money ii a model of commodity market frictions with mon etary non neutralities arising from gradual adjustment of goods prices and iii a model of financial market frictions with monetary non neutralities arising from gradual adjust ments of portfolios finally we compare the models predic tion for the business cycle behavior of money prices and interest rates with the data in exploring the predictions of these models we take the stock of money to be one of several exogenous variables in the system all of our models are capable of generating a forecasting role for money relative to real economic activity similar to that found in the u s data in the real business model monetary changes can forecast real activity because productivity is related to many underlying sources of shocks and because these real shocks also affect the money stock in the models with sticky prices and liquidity effects short hand names for the models with frictions in the com modity and financial markets monetary changes have an additional direct positive effect on aggregate output the outline of the paper is as follows section ii describes the data and documents its business cycle characteristics section iii outlines the three macroeconomic models and develops the particular quantitative versions of the models used in our analysis our main empirical results are pre sented in section iv and section v summarizes our results and concludes

sticky goods prices flexible asset prices monopolistic competition and monetary policy a monetary general equilibrium asset pricing model with sticky goods prices is developed goods prices are set by monopolistically competitive firms that maximize stock market value equilibria with underutilization of resources excess capacity in some states result in contrast to previous monetary asset pricing models the degree of competition affects capacity utilization monetary policy can affect output and resource utilization in addition to real asset prices depending upon the amount of information available to the monetary authority

dynamic factor demands and the effects of energy price shocks a dynamic model is used to understand how sharp changes in energy prices affect investment behavior employment and energy use the authors discuss the theory behind their model selection model specifications estimation methods and data list parameter estimates and elasticities for the selected model and describe the simulations they conclude that 1 the data strongly reject the hypothesis of constant returns to scale within their specification of aggregate production 2 the data indicate adjustment costs on labor are small and 3 their results help reconcile some of the conflicting estimates of energy demand elasticities appearing in recent literature 23 references 3 figures 3 tables

small menu costs and large business cycles a macroeconomic model of monopoly i introduction the conflict between modern neoclassical and traditional keynesian theories of the business cycle centers upon the pricing mechanism in neoclassical models prices are fully flexible they represent the continuous optimization of economic agents and the continuous intersection of supply and demand in keynesian models prices are often assumed to be sticky they do not necessarily equilibrate all markets at all times one of the reasons for the resurgence of the equilibrium approach to macroeconomics has been the absence of a theoretical underpinning for this keynesian price stickiness this note shows that sticky prices can be both privately efficient and socially inefficient the business cycle results from the suboptimal adjustment of prices in response to a demand shock to the extent that policy can stabilize aggregate demand it can mitigate the social loss due to this suboptimal adjustment in some keynesian models prices are simply exogenously fixed 2 in others agents must set their prices in advance of the transaction date the act of altering a posted price is certainly costly these costs include such items as printing new catalogs and informing salesmen of the new price yet these menu costs are small and therefore generally perceived as providing only a weak foundation for these fixed price models however this inference is flawed small menu costs can cause large welfare losses the claim that price adjustment costs are small does not rebut the claim that they are central to understanding economic fluctuations

liquidity and real activity in a simple open economy model abstract this paper analyzes the ability of an open economy version of lucas s 1990 liquidity model to account for properties of international data the focus is on the model s ability to account for exchange rate dynamics and measured effects of monetary policy shocks on exchange rates interest rates and real activities across countries the model generates a prediction that a positive domestic monetary innovation is associated with nominal and real currency depreciations however the model s predictions with respect to nominal and real exchange rate volatilities are low

inventories and sticky prices more on the microfoundations of macroeconomics the role of inventories in making prices sticky is studied by analyzing a dynamic linear quadratic model of a monopoly firm facing stochastic demand but able to store its finished goods in inventory it is shown that in contrast to the usual presumption firms that exhibit the smallest output responses to demand fluctuations may also exhibit the smallest price fluctuations specifically firms which have very flexible inventory storage facilities or are subjected to very transitory demand shocks will rely on inventories as buffers and will change neither production nor price very much on the other hand firms which have very inflexible storage facilities or whose demand shocks are quite permanent will display large swings in both price and output the standard assumption about inventory carrying costs that has been used in the literature that they are linear is shown to imply that production is impervious to fluctuations in demand it is also established that prices may respond more strongly to positive demand shocks than to negative ones if it is impossible to hold negative inventories i e to have unfilled orders the model offers an explanation for stickiness in relative prices however under certain circumstances it may help explain the persistence of inflation this abstract was borrowed from another version of this item