money and prices under uncertainty we study whether monetary economies display nominal indeterminacy equivalently whether monetary policy determines the path of prices under uncertainty in a simple stochastic cash in advance economy we find that indeterminacy arises and is characterized by the initial price level and a probability measure associated with state contingent nominal bonds equivalently monetary policy determines an average but not the distribution of inflation across realizations of uncertainty the result does not derive from the stability of the deterministic steady state and is not affected essentially by price stickiness nominal indeterminacy may affect real allocations in cases we identify our characterization applies to stochastic monetary models in general and it permits a unified treatment of the determinants of paths of inflation copyright 2005 wiley blackwell

permanent income in the consumption and the demand for money functions abstract this paper examines whether the concept of permanent income relevant for consumption decisions is the same as the one relevant for cash balance decisions the equivalence has often been assumed in theoretical and empirical work but it has never been explicitly tested for although some comparisons have been made using canadian quarterly data consumption and demand for money functions are estimated jointly the results indicate that the hypothesis that the elasticity of income expectations is the same in the two functions cannot be rejected this conclusion holds whether or not the same income variable is used in the two functions

an empirical test of the effects of government deficits on money demand there is a great deal of interest in how govenment deficits affect macroeconomic variables accordingly there is a large body of theoretical and empirical work on the topic this paper examines the relationship between deficits and interest rates among the difficulties in exploring this relationship is that when conducting monetary policy the federal reserve often targets interest rates such a policy can cloud any relationship between deficits and interest rates a way to avoid this problem among others is to estimate money demand functions that contain a measure of the market value of government debt no evidence is found to support a positive relationship between government debt and money demand this finding implies budget deficits do not affect interest rates through money demand

monetary anticipations and the demand for money reply to mackinnon and milbourne abstract mackinnon and milbourne 1984 in an extended comment on carr and darby 1981 claim that money supply shocks do not enter the money demand function for the united states this reply discusses the economic and econometric errors which led to this conclusion and presents further empirical evidence in support of our approach

a generalized quantity discount pricing model to increase supplier s profits in this paper the joint problem of ordering and offering price discount by a supplier to his sole major buyer is analyzed the objective is to induce the buyer to alter his order schedule and size so that the supplier can benefit from lower set up ordering and inventory holding costs we generalize the quantity discount pricing model of monahan monahan j p 1984 a quantity discount pricing model to increase vendor profits management sci 30 6 720 726 to 1 explicitly incorporate constraints imposed on the amount of discount that can be offered and 2 relax the implicit assumption of a lot for lot or order for order policy adopted by the supplier an algorithm is developed to solve the supplier s joint ordering and price discount problem

managing channel profits a channel of distribution consists of different channel members each having his own decision variables however each channel member s decisions do affect the other channel members profits and as a consequence actions a lack of coordination of these decisions can lead to undesirable consequences for example in the simple manufacturer retailer consumer channel uncoordinated and independent channel members decisions over margins result in a higher price paid by the consumer than if those decisions were coordinated in addition the ensuing suboptimal volume leads to lower profits for both the manufacturer and the retailer this paper explores the problems inherent in channel coordination we address the following questions what is the effect of channel coordination what causes a lack of coordination in the channel how difficult is it to achieve channel coordination what mechanisms exist which can achieve channel coordination what are the strengths and weaknesses of these mechanism what is the role of nonprice variables e g manufacturer advertising retailer shelf space in coordination does the lack of coordination affect normative implications from in store experimentation can quantity discounts be a coordination mechanism are some marketing practices actually disguised quantity discounts we review the literature and present a simple formulation illustrating the roots of the coordination problem we then derive the form of the quantity discount schedule that results in optimum channel profits this article was originally published in marketing science volume 2 issue 3 pages 239 272 in 1983

volatility growth and welfare this paper constructs an endogenous growth model driven by self ful lling expectation shocks to explain the stylized fact that the average growth rate of gdp is related negatively to volatility and positively to capacity utilization the implied welfare gain from further stabilizing the u s economy is about a quarter of annual consumption which is consistent in order of magnitude with estimates based on the empirical studies of ramey and ramey 1995 and alvarez and jermann 2004 hence policies designed to reduce uctuations can generate large welfare gains because smaller uctuations are associated with permanently higher rates of growth

an approach for developing an optimal discount pricing policy this paper addresses the problem of why and how a seller should develop a discount pricing structure even if such a pricing structure does not alter ultimate demand the situation modeled is most appropriate where the seller s product does not represent a major component of the buyer s final product where the demand for the product is derived or where the price is only one of many factors considered in making a purchase decision a model of buyer reaction to any given pricing scheme is developed to show that there exists a unified pricing policy which motivates the buyer to increase its ordering quantity per order thereby reducing the joint buyer and seller ordering and holding costs as a result the seller is able to reduce its costs while leaving the buyer no worse off and often better off the model is extended to handle variable ordering and shipping costs and situations where the seller faces numerous groups of buyers each having different ordering policies finally a case study is presented explicitly showing how the proposed pricing policy can be applied to the situation of a large seller selling to a number of different buyer groups

gaps and triangles we derive principles of optimal short run monetary policy in a real business cycles model with money and prices set in advance the optimal allocation is achieved under the friedman rule however given that policy the allocation is indeterminate we move away from the friedman rule take the interest rate path as exogenous and characterize the optimal money supply policy we identify the conditions under which it is optimal to replicate the allocation under exible prices in general sticky prices provide the planner with tools to improve upon a distorted exible prices allocation

monetary anticipations and the demand for money abstract it has recently been argued that unanticipated changes in nominal money supply should affect the real demand for money and empirical results which appear to support this hypothesis have been presented unfortunately the econometric techniques used by previous authors yield severel biased estimates in this paper we show how valid estimates may easily be obtained and present some illustrative empirical results using u s data these results do not support the conclusions of earlier authors we find that unanticipated money supply changes do indeed affect the real demand for money but with the wrong sign and that anticipated changes also have a significant effect a consistency test for all models employing the anticipated unanticipated distinction is also proposed

a quantity discount approach to supply chain coordination abstract quantity discounts provide a practical foundation for inventory coordination in supply chains however typical supply chain participants may encounter difficulties in implementing the coordination policy simply because 1 specified lot size adjustments may deviate from the economic lot sizes and 2 the buying firm may face amplified overstocking risks related to increased order quantities the main objective of this study is to develop a quantity discount model that resolves the practical challenges associated with implementing quantity discount policies for supply chain coordination between a supplier and a buyer the proposed buyer s risk adjustment b ra model allows the supplier to offer discounts that capitalize on the original economic lot sizes and share the buyer s risk of temporary overstocking under uncertain demand the analytical results suggest that the proposed b ra discount approach is a feasible alternative for supply chain coordination under uncertain demand conditions

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

optimal fiscal and monetary policy equivalence results in this article we analyze the implications of price setting restrictions for the conduct of cyclical fiscal and monetary policy we consider standard monetary economies that differ in the price setting restrictions imposed on the firms we show that independently of the degree or type of price stickiness it is possible to implement the same efficient set of allocations and that each allocation in that set is implemented with policies that are also independent of the price stickiness in this sense environments with different price setting restrictions are equivalent

what will take the con out of econometrics the paper begins with the question of whether leamer s extreme bounds analysis eba really does take the con out of econometrics by analytically demonstrating that the extreme bounds are simply functions of the f statistic for the deletion of variables from a regression we conclude that the information provided by eba represents no advance over that available from traditional methods furthermore there is a degree of arbitrariness in eba which exactly parallels the selective reporting of regressions it was designed to supplant the last part of the paper attempts a positive response to its title by following a well defined series of modelling steps we maintain that cooley and le roy s eba derived conclusions concerning the interest elasticity of money demand owe more to a faulty methodology than to the data this abstract was borrowed from another version of this item

quantity discounts managerial issues and research opportunities marketing managers frequently administer pricing policies involving substantial quantity discounts however our understanding of the precise role of these discounts and their design is quite limited this paper reviews and integrates the economics and marketing literature and presents a detailed analysis of the policies of four firms in order to i specify the variety of motivations for quantity discounts ii provide guidelines to managers in designing quantity discount schedules and iii set out the most fruitful directions for future research

strategic monetary policy in interdependent economies gains from coordination reconsidered abstract there is a wide acceptance that gains to international monetary policy coordination are small at best and that the need of policy coordination is questionable this conclusion however follows from the underlying presumption that monetary policy is concerned with the stabilization of macroeconomic fluctuations only this paper presents a general short run monetary policy analysis within a familiar two country new open economy macroeconomics noem framework where national monetary policy involves the choice of a deterministic growth trend of money supply average inflation rate and stochastic state dependent deviations of actual money supply from the deterministic trend stabilization strategic beggar thy neighbor considerations induce the deviation of both policy choices from their socially optimal values the gains from international coordination of the average inflation rate are of first order and hence larger than the gains from the coordination of the stabilization policies which are of second order

the role of money supply shocks in the short run demand for money abstract previous money demand models are either inconsistent with contemporaneous adjustment of the price level to expected changes in the nominal money supply or imply implausible interest rate fluctuations in response to innovations in nominal money we propose a shock absorber money demand model in which money supply shocks affect the synchronization of asset transactions and so engender a temporary increase or decrease in desired money holdings expected changes do not engender such fluctuations in real money inventories in simultaneous estimates for eight industrial countries the shock absorber model proved empirically superior

unstable money demand and the monetary model of the exchange rate in this paper the authors investigate the importance for the monetary model of exchange rate determination of j frankel 1979 of allowing unrestricted dynamics and of accounting for shifts in the demand for money due to financial innovation based on estimation and simulation results for the canada u s bilateral exchange rate over the 1970 85 period the aut hors find strong evidence in favor of a generalized approach to dynamic specification but find that the shif t adjustment of official money supply data has only minor implications for the empirical results moreover neither modification is sufficient to generate a monetary model that is well supported by the data

an incremental discount pricing schedule with multiple customers and single price break abstract this paper analyzes how a supplier can formulate the terms of a quantity discount pricing schedule assuming a single incremental discount system a model is developed from which an algorithm is derived for an optimal discount schedule the cases are investigated in which both the discount rate and the break point are unknown and either one is prescribed a numerical example is presented to illustrate the algorithm developed

two echelon supply chain coordination through the unified number of annual orders abstract this paper studies the problem of how to coordinate a one supplier multi retailer supply chain by requiring retailers to adopt the unified number of annual orders proposed by the supplier the paper presents two coordination models one considering a small number of retailers the other considering a large number of retailers in the proposed models the supplier views all retailers or some selected retailers if more beneficial in the supply chain as one group then offers a price discount to entice the retailers in this group placing their orders only with the specific number of annual orders a heuristic is developed for each model to let the supplier know which retailers will be selected to implement the common number of annual orders and how to determine the corresponding optimal number of annual replenishments and price discount by using a numerical study we evaluate the benefit of the proposed coordination strategy

note the role of returns policies in pricing and inventory decisions for catalogue goods manufacturers often use returns policies to encourage retailers to stock and price items more aggressively we focus on the effect that such policies have on both a retailer s and a manufacturer s profits when the retailer must commit prior to the selling season to both a stocking quantity and a price at which to sell an item such a commitment is often necessary for retailers who sell primarily through catalogues

the role of countercyclical monetary policy when firms set nominal prices in advance optimal monetary policy insulates aggregate output against shocks to demand it can do so however by following the constant money growth rule advocated by milton friedman it need not respond to the shocks in an actively countercyclical way in addition to the extent that output fluctuations are driven by shocks to supply money growth should be procyclical

perils of unconventional monetary policy abstract unconventional monetary policy by relaxing restrictions on the composition of the balance sheet of the central bank compromises control over the stochastic path of inflation or in open economies over the stochastic path of exchange rates if the composition of the balance sheet is unrestricted then the path of inflation is indeterminate this is the case under pure quantitative easing where the target is the size of real money balances in contrast credit easing policies restrict the composition of the portfolio by targeting a specific expansion in the maturity profile of bonds bought and thus can implement a determinate path of inflation the composition of the portfolios traded by monetary fiscal authorities also determines premia in asset and currency markets

a comparison among partial adjustment rational expectations and error correction estimates of the canadian demand for money starting from a dynamic optimization principle the currently most popular approaches to modelling money demand functions are derived the partial adjustment adaptive expectations rational expectations and error correction mechanism formulations are then estimated using a common data set the error correction mechanism equation is found to dominate the others either because their implicit restrictions are rejected rational expectations or by employing the encompassing principle partial adjustment adaptive expectations surprisingly all three forms have similar long run solutions since the short run dynamics differ substantially the results have important implications for the conduct of monetary policy

the demand for the components of broad money error correction and generalized asset adjustment sytems the distinction between bank and non bank deposits have been blurred over the last decade and this has led to changes in the demand for various types of monetary aggregates thus money demand studies which focus only on one monetary aggregate like m3 currency plus bank deposits without allowing for the altered nature of asset substitutions may lead to wrong inferences about the cause of the growth of the money this paper is concerned with the interactions between the components of broad money currency bank and non bank deposits in the long and short run the long run asset demand equations are specified to encompass the transaction and portfolio motives for demanding money while the short run asset adjustment equations are derived from an underlying dynamic cost minimizing model the short run asset adjustment model is of the error correction form and under certain assumptions is shown to nest the generalized adjustment form the model is applied to the case of australia using both quarterly and

identification and estimation of money demand in most natural sciences physics chemistry biology theories are validated by controlled experiment however in other natural sciences astronomy meteorology and in most social sciences including economics the data are characteristically generated not by experiment but by measurement of uncontrolled systems in economics theories take the form of restrictions on the models assumed to generate the data and statistical methods replace experimental controls in testing these restrictions and here is the difficulty in economics particularly macroeconomics the theory used to derive tests ordinarily does not generate a complete specification of which variables are to be held constant when statistical tests are performed on the relation between the dependent variable and the independent variables of primary interest accordingly in such cases there will be a set of often very different candidate regression based tests each of which has equal status with the others since each is based on a different projection of the same underlying multivariate model except in the unlikely event that the explanatory variables are mutually orthogonal the conditional regression coefficients which generally form the basis for the test statistic will depend on the conditioning set we conclude from this that if a theory which does not generate a complete specification of the regression test is nonetheless to have testable implications these implications must be robust over the permissible alternative specifications if the restrictions indicated by the theory are satisfied in some projections but not in others that have an equal claim to represent implications of the theory one cannot conclude that the theory has been confirmed the fact that the observable implications of valid theories must obtain over a broad but usually incompletely specified set of regressions rather than for a single regression introduces a large and unavoidable element of imprecision into hypothesis testing in macroeconomics generally it appears to be appropriate to weaken the statistical criterion for rejecting theories consider for example the theory of money demand which will engage our attention in this paper the tobin baumol square root formula implies that the elasticity of money demand with respect to the interest rate is exactly one half but which interest rate should wealth be held constant inflation in view of such uncertainties it would be inappropriate to insist in a literal minded fashion on rejecting the tobin baumol model if in some regression the measured interest elasticity differed from one half by more than two standard deviations and only then obviously a more flexible approach is called for the practice has been to conclude that the statistical evidence is consistent with the tobin baumol model as long as the interest rate coefficient is negative if it is negative and significant or negative and insignificantly different from minus one half that would provide somewhat stronger confirmation but a positive coefficient particularly a significantly positive coefficient would be viewed as raising questions about the validity of the theory in macroeconomics generally as in the money demand application the typical response to specification uncertainty has been to regard a theory as supported if the signs of the estimated coefficients agree with those expected from theory and as disconfirmed otherwise there is no theoretical justification for this procedure but it seems to be a reasonable course to follow the point that economic theory ordinarily generates incompletely specified statistical university of california santa barbara we have received helpful comments from andrew abel robert clower michael darby robert engle stephen goldfeld david laidler edward leamer robert lucas frederic mishkin and edward prescott thomas hall provided able research assistance