target zones and interest rate variability abstract for narrow exchange rate bands and for reasonable parameter values the interest rate differential s asymptotic unconditional variability is increasing in the width of the exchange rate band whereas for wide exchange rate bands it is slowly decreasing in the exchange rate band the interest rate differential s instantaneous conditional variability is decreasing in the width of the exchange rate band a narrow target zone differs from a completely fixed exchange rate regime in that the interest rate differential s instantaneous standard deviation is high and even increases when the zone narrows

nonrenewable resources with switching costs abstract this paper considers a firm s decision to commence or to suspend extraction of a nonrenewable resource when there are start up or shut down costs for a given level of reserves the critical price that would cause an inactive mine to be opened exceeds the price that would induce an active mine to be closed as one would expect greater switching costs cause firms to be less inclined to change status this impact can be substantial even for modest switching costs possible implications of switching costs are considered including the potential for firms to abandon mines with economically valuable remaining reserves

transactions demand for money with a stochastic time varying interest rate this paper considers a stochastic time varying interest rate in a continuous time inventory theoretic model of the demand for money the problem of minimizing expected discounted cash management costs is ascribed to an agent an optimal cash management policy exists and is of a familiar target threshold form closed form expressions for the forward looking time varying targets and thresholds are derived in special cases and implications for the dynamics of the cash balance are described

on the effects of downstream entry we study the effects of entry in a downstream market where firms e g compaq and ibm cvs and safeway buy an input e g microprocessor grocery items from an upstream supplier e g intel procter gamble and sell their output to consumers we show demand conditions where contrary to conventional wisdom entry of a new downstream firm lowers the downstream market output and increases the consumer price thus consumers may be better off with fewer sellers in such markets we also show that this entry may cause the profit of each incumbent downstream firm to i remain unchanged ii decrease or iii even increase also for a class of widely used demand conditions the supplier s optimal price is shown invariant to the entry exit of its downstream buyer firms we classify all possible effects of downstream entry in terms of fundamental market demand conditions

hysteresis bands on returns holding period and transaction costs abstract in the presence of transactions costs no matter how small arbitrage activity does not necessarily render equal all riskless rates of return when two such rates follow stochastic processes it is not optimal immediately to arbitrage out any discrepancy that arises between them the reason is that immediate arbitrage would induce a definite expenditure of transactions costs whereas without arbitrage intervention there exists some perhaps sufficient probability that these two interest rates will come back together without any costs having been incurred hence one can surmise that at equilibrium the financial market will permit the coexistence of two riskless rates that are not equal to each other for analogous reasons randomly fluctuating expected rates of return on risky assets will be allowed to differ even after correction for risk leading to important violations of the capital asset pricing model the combination of randomness in expected rates of return and proportional transactions costs is a serious blow to existing frictionless pricing models

contract renewal under uncertainty abstract the incentive to adjust prices is considered from a bilateral perspective in a setting where changes in outside opportunities drive the incentive to renew contracts and costs preclude continuous renewal a model encompassing several contract forms is formulated and the existence of an equilibrium to the bilateral renewal game is established prices display inertia and the incumbent contract is found to be more resistant to changes in outside opportunities the larger the costs of contract renewal the variability of outside opportunities and the lower the discount rate the model is shown to match a number of empirical observations on contracts

a multi layer demand responsive logistics control methodology for alleviating the bullwhip effect of supply chains this paper presents a multi layer demand responsive logistics control strategy for alleviating effectively and efficiently the bullwhip effect of a supply chain utilizing stochastic optimal control methodology the proposed method estimates the time varying demand oriented logistics system states which originate directly and indirectly downstream to the targeted member of a supply chain and associate these estimated demands with estimates of different time varying weights under the goal of systematically optimizing the logistical performance of chain members in addition an experimental design is conducted where the proposed method is evaluated with the two specified criteria numerical results indicate that the proposed method permits alleviating to a great extent the bullwhip effect in comparison with the existing logistics management strategies furthermore the methodology presented in this study is expected to help address issues regarding the uncertainty and complexity of the distortion of demand related information existing broadly among supply chain members for an efficient supply chain coordination

evaluating natural resource investments notwithstanding impressive advances in the theory of finance over the past 2 decades practical procedures for capital budgeting have evolved only slowly the standard technique which has remained unchanged in essentials since it was originally proposed see dean 1951 bierman and smidt 1960 derives from a simple adaptation of the fisher 1907 model of valuation under certainty under this technique expected cash flows from an investment project are discounted at a rate deemed appropriate to their risk and the resulting present value is compared with the cost of the project this standard textbook technique reflects modern theoretical developments only insofar as estimates of the discount rate may be obtained from crude application of single period asset pricing theory but see brennan 1973 bogue and roll 1974 turnbull 1977 constantinides 1978 the inadequacy of this approach to capital budgeting is widely acknowledged although not widely discussed its obvious deficiency is its the evaluation of mining and other natural resource projects is made particularly difficult by the high degree of uncertainty attaching to output prices it is shown that the techniques of continuous time arbitrage and stochastic control theory may be used not only to value such projects but also to determine the optimal policies for developing managing and abandoning them the approach may be adapted to a wide variety of contexts outside the natural resource sector where uncertainty about future project revenues is a paramount concern

computational economics and economic theory substitutes or complements abstract this essay examines the idea and potential of a computational approach to theory discusses methodological issues raised by such computational methods and outlines the problems associated with the dissemination of computational methods and the exposition of computational results we argue that the study of a theory need not be confined to proving theorems that current and future computer technologies create new possibilities for theoretical analysis and that by resolving these issues we will create an intellectual atmosphere in which computational methods can make substantial contributions to economic analysis

analytical approximations in models of hysteresis decisions made under ongoing uncertainty and costly reversibility entail a range of the state variable where inaction is optimal which in turn produces hysteresis permanent effects of temporary shifts the range is usually defined by non linear equations that need numerical solutions in this paper a technique of analytical approximations is developed and applied to two models menu costs and investment the resulting explicit solutions help clarify why hysteresis is important even for small irreversibility in the menu cost model hysteresis is two orders of magnitude larger than under the akerlof yellen or mankiw assumptions when decisions that are costly to reverse are made under conditions of ongoing uncertainty the optimum policy usually entails a range of inertia the action should be taken only when the value of the underlying state variable becomes especially favourable and reversed only when it becomes especially unfavourable there is an intermediate range over which inaction is optimal this in turn gives rise to hysteresis starting from a value in the range of inertia if the state variable crosses the action trigger point and then returns to its original level the action will be taken but not reversed thus a temporary change will leave a permanent effect numerical solutions for models of irreversible investment show that the range of inaction is remarkably large even when the cost of reversal is small see brennan and schwartz 1985 constantinides 1986 and dixit 1989a b for examples of this unfortunately the equations tlhat determine the optimum policy are highly non linear they do not have analytical solutions therefore we lack a clearer and more general understanding of why hysteresis is numerically so important in this paper i derive analytical approximations for the solutions of more general problems of this kind when the costs of change are small the idea that small costs of change induce large amounts of inertia has been popularized in the model of akerlof and yellen 1985 mankiw 1985 and others in these models second order small costs of making price changes yield price stickiness in response to first order changes in the money supply this is a simple application of the envelope theorem but these models are static and their application to a dynamic reality must assume either permanent shocks or static expectations when there is ongoing uncertainty which is rationally expected by the decision maker the option value of the status quo enlarges the zone where inaction is optimal adding these features to the mankiw akerlof yellen may model i show that fourth order small costs of change generate first order inertia

pricing and the news vendor problem a review with extensions in the newsvendor problem a decision maker facing random demand for a perishable product decides how much of it to stock for a single selling period this simple problem with its intuitively appealing solution is a crucial building block of stochastic inventory theory which comprises a vast literature focusing on operational efficiency typically in this literature market parameters such as demand and selling price are exogenous however incorporating these factors into the mode l can provide an excellent vehicle for examining how operational problems interact with marketing issues to influence decision making at the firm level in this paper we examine an extension of the newsvendor problem in which stocking quantity and selling price are set simultaneously we provide a comprehensive review that synthesizes existing results for the single period problem and develop additional results to enrich the existing knowledge base we also review and develop insight into a dynamic inventory extension of this problem and motivate the applicability of such models

analysis of compound bullwhip effect causes abstract this research investigates compound causes of the bullwhip effect bwe by considering an inventory system with multiple price sensitive demand streams joint price and demand dynamics are captured by a vector time series process that incorporates the stochastic co movements in price and demand we study two bwe measures one for each demand stream individually and one for the aggregated demand we show that demand parameters including demand autocorrelation cross correlation and price sensitivity serve as root causes of the bwe we prove that the impact of these parameters on the bwe can be additively decomposed conditions are established under which a pair of simultaneous compound causes may attenuate or dampen the bwe when demand streams are aggregated we derive a pooling factor that quantifies the impact of demand aggregation on order stability when positive the pooling factor corresponds to a synergy effect that captures the gain in the stability of the pooled orders conditions for the existence of the synergy effect are obtained for several special cases involving a zero leadtime we also discuss how our analytical findings can be managerially applied to bullwhip mitigation strategies

notes on the theory and evidence on aggregate purchases of durable goods the basic implications of the frictionless permanent income hypothesis for durable goods purchases are strongly rejected by the data at the aggregate level there is too much inertia at the macroeconomic level purchases are too infrequent and lumpy in principle these rejections can be simultaneously rationalized by the presence of fixed costs of adjustment at the microeconomic level this article provides a simplified overview of recent developments attempting to formalize and measure the implications of models of fixed cost of adjustment for microeconomic and especially aggregate behavior of expenditure on durable goods it contends that these efforts have paid off in terms of methodological and empirical improvements copyright 1994 by oxford university press

taming the bullwhip effect whilst watching customer service in a single supply chain echelon we study a generalised order up to policy that has highly desirable properties in terms of order and inventory variance and customer service levels it generates we quantify exactly the variance amplification in replenishment orders i e the bullwhip effect and the variance of inventory levels over time for i i d and the weakly stationary auto regressive ar moving average ma and auto regressive moving average arma demand processes we demonstrate that high customer service as measured by fill rate and smooth replenishments need not increase inventory cost substantially we observe that in some instances of the arma demand pattern this comes at the expense of a relatively small increase in safety stock whilst in other instances inventory levels can actually be reduced

the level and quality of value at risk disclosure by commercial banks in this paper we study both the level of value at risk var disclosure and the accuracy of the disclosed var figures for a sample of us and international commercial banks to measure the level of var disclosures we develop a var disclosure index that captures many different facets of market risk disclosure using panel data over the period 1996 2005 we find an overall upward trend in the quantity of information released to the public we also find that historical simulation is by far the most popular var method we assess the accuracy of var figures by studying the number of var exceedances and whether actual daily vars contain information about the volatility of subsequent trading revenues unlike the level of var disclosure the quality of var disclosure shows no sign of improvement over time we find that var computed using historical simulation contains very little information about future volatility

commodity trade and international risk sharing how much do financial markets matter abstract this paper evaluates the social gains from international risk sharing in some simple general equilibrium models with output uncertainty a simulation model calibrated to selected moments of u s and japanese data estimates the incremental loss from a ban on international portfolio diversification to be on the order of 0 20 percent of output per year even the theoretical gains from asset trade may disappear under alternative sets of assumptions on preferences and technology the paper argues that the small magnitude of potential trade gains may help explain the apparently inconsistent findings of empirical studies on the degree of international capital mobility

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

the stabilizing effect of inventory in supply chains this paper presents a hierarchical model framework for the analysis of the stabilizing effect of inventories in multiechelon manufacturing distribution supply chains this framework is used to compare the variance of demand to the variance of replenishment orders at different echelons of the system e g retailer wholesaler empirical data and experience with management games suggest that in most industries inventory management policies can have a destabilizing effect by increasing the volatility of demand as it passes up through the chain the bullwhip effect our model helps to explain these observations and indicates mechanisms that can promote stabilization the analysis results also define sufficient conditions for the existence of stabilization and relate these conditions to the optimality of myopic control policies

permanent effects of monetary policy in a dynamic menu cost model abstract this paper investigates whether a systematic monetary policy can affect output in a dynamic menu cost model that results in s s price rules it will be shown that monetary policy potentially can affect output not only in the short run but also with regard to long run average output even though the policy rule is fully known by the rational firm perfectly anticipated monetary policy intervention may have a permanent real effect in the long run

lumpy price adjustments a microeconometric analysis based on a reduced form state dependent pricing model with random thresholds we specify and estimate a nonlinear panel data model with an unobserved factor representing the common cost or demand components of the unobserved optimal price using this model we are able to assess the relative importance of common and idiosyncratic shocks in explaining the frequency and magnitude of price changes in the case of a wide variety of consumer products in belgium and france we find that the mean level and variability of the random thresholds are key for explaining differences across products in the frequency of price changes we also find that the idiosyncratic shocks represent the most important driver of the magnitude of price changes supplementary materials for this article are available online

coordinating channels under price and nonprice competition this paper analyzes how manufacturers should coordinate distribution channels when retailers compete in price as well as important nonprice factors such as the provision of product information free repair faster check out or after sales service differentiation among retailers in price and nonprice service factors is a central feature of markets ranging from automobiles and appliances to gasoline and is especially observed in the coexistence of high service retailers and lower price discount retailers therefore how a manufacturer should manage retail differentiation is an important channel management question yet the approach in the existing literature has been to examine channel coordination under the standard symmetric contracting assumption that offering a uniform contract to all the retailers in a market will be sufficient for coordination i bring this assumption into question and ask when is it optimal for the manufacturer to use the channel contract to deliberately induce retail differentiation even if the retailers were ex ante identical in their cost and other characteristics the paper identifies the type of channel contracts that can endogenously induce symmetry as opposed to differentiation among retailers next the paper highlights a type of channel conflict that arises from the very nature of retail price service competition a manufacturer might find the retailers to be excessively biased towards price competition at the cost of service provision or vice versa the paper establishes when a manufacturer is likely to stimulate greater price as opposed to greater service competition among the retailers the framework that i develop to address these issues highlights the role of two basic types of consumer heterogeneity consumers are heterogeneous in their locations as in the spatial models of horizontal differentiation and in their willingness to pay for retail services as in the models of vertical differentiation the model also uses a natural relationship in retail markets between the travel time cost incurred by a consumer and her willingness to pay the more affluent consumers who have a higher willingness to pay for retail services also have a higher cost for their personal time given these market features the paper analyzes the problem faced by a manufacturer who sells to competing retailers the paper shows that the standard notion in the literature of offering similar contracts to all the retailers is sufficient only in markets with substantial locational differentiation relative to the differences in the willingness to pay effective channel management in these markets simply requires mechanisms that ensure that retailer interests are aligned so that they compete by offering a mix of price and service that is desirable from the manufacturer s point of view however in markets with small locational differentiation and substantial diversity in consumer willingness to pay the manufacturer s problem is not just to align retailer interests but to also use the channel contract to induce the correct level of retail differentiation this helps the manufacturer to better cater to the diversity in consumer willingness to pay and to prevent the cut throat competition that the retailers would otherwise have indulged in the manufacturer can achieve this through the use of menu based contracts menu based contracts induce differentiated retailer behavior despite the fact that the retailers are not forced into accepting different terms of trade this aspect can be useful in shielding manufacturers from litigation under the robinson patman act the paper also shows that for relatively high ticket items retailers tend to be excessively biased towards competing in the provision of retail services the correlation between consumer willingness to pay for service and travel costs implies that for high ticket products the competing retailers will focus on the more service sensitive customers at the cost of ignoring the price sensitive consumers in the market the manufacturer is therefore likely to encourage greater price competition among the retailers in contrast for low ticket items the manufacturer prefers to reduce price competition and encourage greater provision of services this provides an endogenous rationale for the use of price ceilings versus floors the basic model is also extended to consider the effect of upstream competition between manufacturers under upstream competition coordinating retail price and service decisions is not always optimal for an individual manufacturer this extension to manufacturer competition provides a basis for understanding the role of retail price service differentiation in the context of a channel duopoly it also shows that a mixed distribution channel a channel in which one manufacturer chooses to be coordinated while the other chooses to be noncoordinated can be an equilibrium in markets with weak brand loyalty

price setting with menu cost for multi product firms we model the decisions of a multiproduct firm that faces a fixed menu cost once it is paid the firm can adjust the price of all its products we characterize analytically the steady state firm s decisions in terms of the structural parameters the variability of the flexible prices the curvature of the profit function the size of the menu cost and the number of products sold we provide expressions for the steady state frequency of adjustment the hazard rate of price adjustments and the size distribution of price changes all in terms of the structural parameters we study analytically the impulse response of aggregate prices and output to a monetary shock the size of the output response and its duration both increase with the number of products they more than double as the number of products goes from 1 to 10 quickly converging to the response of taylor s staggered price model

the impact of pricing policy on sales variability in a supermarket retail context abstract the bullwhip effect is recognized to be a significant cost driver in supply chains one of the measures proposed frequently to counter bullwhip effect is price stability through everyday low pricing edlp however this study suggests that with an auto regressive ar1 demand process the use of constant instead of dynamic pricing may result in lower profitability and higher demand volatility an optimal price and stocking level policy is developed with normally distributed demand in this study and the model is tested using parameters from a supermarket scanner data set to determine the impact of two pricing policies the hypothesis that low prior period demand leads to discounted pricing is also tested and partially supported

the term structure of interest rate differentials in a target zone theory and swedish data abstract the term structure of interest rate differentials is derived in a model of a small open economy with a target zone exchange rate regime for given time to maturity the interest rate differential is decreasing in the exchange rate and for given exchange rate the interest rate differential s absolute value and its instantaneous variability are both decreasing in the time to maturity devaluation realignment risks are incorporated and imply upward shifts of the interest rate differentials several implications of the theory are found to be broadly consistent with data on swedish exchange rates and interest differentials for the period 1986 1989

information sharing and order variability control under a generalized demand model the value of information sharing and how it could address the bullwhip effect have been the subject of studies in the literature most of these studies used different forms of demand models assuming that no order smoothing was used by the retailer and that the supplier has full knowledge of the retailer s demand model and order policy in this paper we contribute to the literature by starting with a most general demand model coupled with a smoothing policy for order variability control in addition we do not require that the supplier has full knowledge of the retailer s demand model and order policy but instead let the retailer share its projected future orders and freely revise them as the retailer sees fit under such a setting we first obtain a unifying formula for the magnitude of the bullwhip effect the formula indicates that it is the forecast correlation over the exposure period as a whole that determines the magnitude of the bullwhip effect we then quantify the value of information sharing and generalize the existing results in the literature finally we explore the optimal smoothing parameters that could benefit the total supply chain the resulting optimal policy resembles the postponement strategy we find that information sharing together with order postponement improves the supply chain performance even though the order variability may amplify in some cases

improving channel coordination through franchising in this paper we explore the role of franchising arrangements in improving coordination between channel members in particular we focus on two elements of the franchising contract namely the royalty structure and the monitoring technology we begin with a simple analysis where a manufacturer distributes its product through a retailer and the retail demand is affected by the retail price and the service provided by the retailer in this context we show that neither royalty payments nor monitoring are needed for full coordination we then extend the model to allow for free riding by franchisees and show that although monitoring helps affect the behavior of the franchisees royalty payments are still unnecessary to coordinate the activities of the franchisor and the franchisees finally we show that in environments where factors affecting retail sales are controlled by both the franchisor and the franchisee royalty payments provide the necessary incentives for the franchisor while monitoring systems are used to ensure that franchisees also behave in the best interest of the channel our general results are found to be consistent with those in brickley and dark 1987 and norton 1988 who conclude that franchising is affected by principal agent problems our theory finds special support in the work of lafontaine 1988 where it is concluded that the incidence of franchising is related to cost of monitoring and the importance of franchisor investments

a real options perspective on the future of the euro abstract a break up of the eurozone is no longer regarded as implausible this will be a costly and irreversible decision in conditions of continuing uncertainty therefore it is amenable to analysis in the real options framework we do so by solving as an n dimensional optimal stopping problem with country specific shocks and convergence of member economies we compare a complete break up with individual country departures in calibrated solutions for a symmetric case we find a non negligible but small option value furthermore we find a new theoretical result on the non monotonicity of abandonment threshold with respect to volatility

monetary shocks in models with observation and menu costs we study economies where price stickiness arises due to the simultaneous presence of both menu and information costs we identify the relative importance of these costs using firm s survey data and analyze the response of prices and output following a permanent unexpected monetary shock for a given frequency of price adjustment we find that the information friction significantly amplifies the real effect of the shock when the shock is small or when it is not known by firms instead when the shock is large and known to firms the flexibility of prices increases and the real effects gradually vanish

information distortion in a supply chain the bullwhip effect this article originally appeared in management science april 1997 volume 43 number 4 pp 546 558 published by the institute of management sciences consider a series of companies in a supply chain each of whom orders from its immediate upstream member in this setting inbound orders from a downstream member serve as a valuable informational input to upstream production and inventory decisions this paper claims that the information transferred in the form of orders tends to be distorted and can misguide upstream members in their inventory and production decisions in particular the variance of orders may be larger than that of sales and distortion tends to increase as one moves upstream a phenomenon termed bullwhip effect this paper analyzes four sources of the bullwhip effect demand signal processing rationing game order batching and price variations actions that can be taken to mitigate the detrimental impact of this distortion are also discussed

variable price adjustment costs i introduction costly price adjustment models often called menu cost models see mankiw 1985 are based on the assumption that nominal price changes in product markets are costly with aggregate inflation the optimal pricing policies are state contingent the firm lets its real price drift until it reaches a threshold the nominal price is then changed so as to make the new real price equal to a target value the simplest case is the one sided s s policy studied by sheshinski and weiss 1977 the real price is increased to s after it has been eroded by inflation to s 1 nominal prices are held constant for extended periods of time as is apparent to anyone with eyesight rotemberg 1987 as the timing of price changes is chosen optimally the optimal policies dominate time contingent policies 2 not surprisingly the models have been adopted in the new keynesian literature as a microfoundation for nominal rigidities along with monopolistic competition and coordination failures they have entered the mainstream of that literature 3 given their importance for the new keynesian approach costly price adjustment models require closer scrutiny there are two basic problems first it is not clear what the costs of price adjustment are second there is empirical evidence inconsistent with the standard fixed cost model 4 1 more complex policies are studied by barro 1972 tsiddon 1988 caplin and leahy 1991 and dixit 1991 2 see discussions in blanchard and fischer 1990 and caplin and leahy 1991 a notable exception are time inconsistent problems which may arise in long term contracts 3 rotemberg 1987 ball mankiw and romer 1988 blanchard 1990 and gordon 1990 review macroeconomic applications textbook expositions are in blanchard and fischer 1990 mccafferty 1990 abel and bernanke 1992 and mankiw 1992 4 another issue is how a smooth aggregate price level results from lumpy individual adjustments on this see caplin and spulber 1987 and caballero and engel 1991 the costs of price changes are of two basic types first are the costs of market response customers switching competitors pricing more aggressively etc second are the costs of changing the menu deciding on the new price changing labels informing salesmen and customers etc in existing literature the costs are assumed to be fixed which suggests that they are of the latter type 5 the main criticism of this approach is that as menu costs are small the results are unlikely to be empirically relevant or economically significant mccallum 1989 summarizes this argument in response akerlof and yellen 1985 and mankiw 1985 argued that as the profit function is flat around its maximum profits are not responsive to changes in the real price thus even small costs may result in infrequent price changes empirical evidence supports neither the criticism nor the response the observed frequency of price changes is often too low and real price variations are too large to be generated by a small menu cost for example cecchetti 1986 finds that a typical u s weekly magazine would change its nominal price once every four to six years allowing the real price to deteriorate by about 25 percent results for monopolistic newspapers in canada studied by fisher and konieczny 1992 are similar the average price increase for the twenty six products in israel studied by lach and tsiddon 1992 was 12 percent when the monthly inflation rate was 7 3 percent also in kashyap 1990 price changes vary greatly in size across products sold in the same catalog even though presumably the menu cost is similar with respect to the second problem fixed cost models imply that the size of adjustment rises with inflation the real price is allowed to be eroded more and is reset to a higher value yet in lach and tsiddon 1992 this holds for only sixteen out of twenty six products adjustments become smaller for eight and there is no effect in two cases

modeling and analysis of cash flow bullwhip in supply chain abstract the bullwhip effect that occurs in supply chain inventory can distort demand forecasts and lead to inefficiencies such as excessive inventory stock outs and backorders in this paper we theorize that inventory bullwhip also leads to cash flow bullwhip cfb specifically this paper focuses on studying cfb by developing mathematical and simulation models to analyze the relationship between inventory and cash flow bullwhip by using cash conversion cycle ccc as a metric the mathematical models for inventory bullwhip are developed for two stage and generic multi stage supply chains and then by extending these inventory models the cfb models are developed for two stage cfb predicted by the proposed mathematical models approximately differ 14 from detailed simulation models we find that increasing variability increases inventory and cash flow bullwhip along with lead time whereas increasing the demand observation period has the opposite effect the average marginal impact of the bullwhip effect on the cfb is approximately 20 additionally the cfb is also an increasing function of an expected value of inventory and a decreasing function of an expected value of demand

the bullwhip effect progress trends and directions the bullwhip effect refers to the phenomenon where order variability increases as the orders move upstream in the supply chain this paper provides a review of the bullwhip literature which adopts empirical experimental and analytical methodologies early econometric evidence of bullwhip is highlighted findings from empirical and experimental research are compared with analytical and simulation results assumptions and approximations for modelling the bullwhip effect in terms of demand forecast delay replenishment policy and coordination strategy are considered we identify recent research trends and future research directions concerned with supply chain structure product type price competition and sustainability

a near rational model of the business cycle with wage and price inertia this paper presents a model in which insignificantly suboptimal behavior causes aggregate demand shocks to have significant real effects the individual loss to agents with inertial price wage behavior is second order in terms of the parameter describing the shock while the effect on real economic variables is first order thus significant changes in business activity can be generated by anticipated money supply changes provided that some agents are willing to engage in nonmaximizing behavior which results in small losses

a real options analysis of coffee planting in vietnam vietnam grew from an insignificant to the world s second largest coffee producer during the 1990s to understand this growth this article examines vietnamese coffee growers investment decisions using real options theory the study finds that producers with variable costs of 19 cents lb and total cost of 29 3 cents lb would enter coffee production at a coffee price of 47 cents lb and exit at a coffee price of 14 cents lb most vietnamese growers appear to be sufficiently efficient to continue producing coffee even at relatively depressed price levels

analysis of the bullwhip effect in two parallel supply chains with interacting price sensitive demands abstract this paper offers insights into how the bullwhip effect in two parallel supply chains with interacting price sensitive demands is affected in contrast to the situation of a single product in a serial supply chain in particular this research studies two parallel supply chains each consisting of a manufacturer and a retailer and the external demand for a single product depends on its price and the other s price in a situation in which each price follows a first order autoregressive process in this paper we propose an analytical framework that incorporates two parallel supply chains and we explore their interactions to determine the bullwhip effect we identify the conditions under which the bullwhip effect is amplified or lessened with interacting price sensitive demands relative to the situation without interaction

direct marketing indirect profits a strategic analysis of dual channel supply chain design the advent of e commerce has prompted many manufacturers to redesign their traditional channel structures by engaging in direct sales the model conceptualizes the impact of customer acceptance of a direct channel the degree to which customers accept a direct channel as a substitute for shopping at a traditional store on supply chain design the customer acceptance of a direct channel can be strong enough that an indepent manufacturer would open a direct channel to compete with its own retailers here direct marketing is used for strategic channel control purposes even though it is inefficient on its own and surprisingly it can profit the manufacturer even when so direct sales occur specifically we construct a price setting game between a manufacturer and its independent retailer direct marketing which indirectly increases the flow of profits through the retail channel helps the manufacturer improve overall profitability by reducing the degree of inefficient price double marginalization while operated by the manufacturer to constrain the retailer s pricing behavior the direct channel may not always be detrimental to the retailer because it will be accompanied by a wholesale price reduction this combination of manufacturer pull and push can benefit the retailer in equilibrium finally we show that the mere threat of introducing the direct channel can increase the manufacturer s negotiated share of cooperative profits even if price efficiency is obtained by using other business practices

economic theory and the world of practice a celebration of the s s model it was the question of how best to balance the costs of ordering and of running out of stock against the costs of holding excess inventory that inspired kenneth arrow theodore harris and jacob marschak to introduce the s s model in 1951 in this celebratory article we show how this model not only answered important practical questions but also opened the door to a quite startling range of important and challenging follow up questions many of great practical importance and analytic depth the s s model has become one of the touchstone models of economics opening new vistas of applied economic theory to all who internalize its structure today it is universally applied to solve questions faced in inventory control the core model elements uncertainty and fixed costs of adjustment are ubiquitous which has resulted in its becoming the general purpose economic model of discrete adjustment the s s model has also become a profound source of inspiration for macroeconomists seeking to understand the role that discrete microeconomic adjustments play in macroeconomic fluctuations looking forward we foresee rapid growth in the use of s s modeling to aid households making complex and costly financial decisions such as when and how to terminate a mortgage in the projected era of household operations research new modeling challenges will arise due to enriched feedback from the world of practice

information transmission and the bullwhip effect an empirical investigation the bullwhip effect is the amplification of demand variability along a supply chain a company bullwhips if it purchases from suppliers more variably than it sells to customers such bullwhips amplifications of demand variability can lead to mismatches between demand and production and hence to lower supply chain efficiency we investigate the bullwhip effect in a sample of 4 689 public u s companies over 1974 2008 overall about two thirds of firms bullwhip the sample s mean and median bullwhips both significantly positive respectively measure 15 8 and 6 7 of total demand variability put another way the mean quarterly standard deviation of upstream orders exceeds that of demand by 20 million we decompose the bullwhip by information transmission lead time estimating the bullwhip s information lead time components with a two stage estimator we find that demand signals firms observe with more than three quarters notice drive 30 of the bullwhip and those firms observe with less than one quarter s notice drive 51 from 1974 1994 to 1995 2008 our sample s mean bullwhip dropped by a third this paper was accepted by christian terwiesch operations management

channel coordination when retailers compete this paper explores channel coordination by a manufacturer that sells through competing retailers and that treats these retailers equally as required by the robinson patman act the authors show that in general there exists no single two part tariff with a constant per unit charge that will duplicate the behavioral results i e prices quantities and channel profits that are obtained by a vertically integrated system that is the channel cannot be coordinated except in the trivial cases of identical or noncompeting retailers however an appropriately specified quantity discount schedule will enable the channel to earn the same profits generated by a vertically integrated system conditions are derived under which a manufacturer will prefer to offer various two part tariffs with constant per unit charges instead of the channel coordinating quantity discount schedule the authors also establish the existence of a menu of two part tariffs that mimics all results of a vertically integrated system however only under stringent conditions will retailers select the appropriate tariff from the menu when these conditions are not satisfied the channel is worse off than in the case of a single second best tariff it is also demonstrated that under a wide range of parametric values the manufacturer will prefer to offer the second best two part tariff rather than a menu of two part tariffs that could maximize channel profits

conditions of reverse bullwhip effect in pricing under joint decision of replenishment and pricing abstract a reverse bullwhip effect in pricing rbp occurs when an amplification of price variability takes place moving from the upstream suppliers to the downstream customers in a supply chain in this study we investigate rbp conditions for supply chains where joint replenishment and pricing decisions are made commencing with a single stage supply chain in which a retailer faces a random and price sensitive demand we extend the results to a multi stage supply chain using a leader follower game theoretical framework we discuss rbp conditions for supply chains where newsvendor and continuous review inventory policies are employed and present numerical examples for commonly used demand functions

reverse bullwhip effect in pricing price variability is one of the major causes of the bullwhip effect this paper analyzes the impact of procurement price variability in the upstream of a supply chain on the downstream retail prices procurement prices may fluctuate over time for example when the supply chain players deploy auction type procurement mechanisms or if the prices are dictated in market exchanges a game theory framework is used here to model a serial supply chain sequential price game scenarios are investigated to show that there is an increase in retail price variability and an amplified reverse bullwhip effect on prices rbp under certain demand conditions

combined pricing and inventory control under uncertainty this paper addresses the simultaneous determination of pricing and inventory replenishment strategies in the face of demand uncertainty more specifically we analyze the following single item periodic review model demands in consecutive periods are independent but their distributions depend on the item s price in accordance with general stochastic demand functions the price charged in any given period can be specified dynamically as a function of the state of the system a replenishment order may be placed at the beginning of some or all of the periods stockouts are fully backlogged we address both finite and infinite horizon models with the objective of maximizing total expected discounted profit or its time average value assuming that prices can either be adjusted arbitrarily upward or downward or that they can only be decreased we characterize the structure of an optimal combined pricing and inventory strategy for all of the above types of models we also develop an efficient value iteration method to compute these optimal strategies finally we report on an extensive numerical study that characterizes various qualitative properties of the optimal strategies and corresponding optimal profit values

the extension and exploitation of the inventory and order based production control system archetype from 1982 to 2015 in 1994 through classic control theory john naim and towill developed the automatic pipeline inventory and order based production control system apiobpcs which extended the original iobpcs archetype developed by towill in 1982 well recognised as a base framework for a production planning and control system due to the prevalence of the two original models in the last three decades in the academic and industrial communities this paper aims to systematically review how the iobpcs archetypes have been adopted exploited and adapted to study the dynamics of individual production planning and control systems and whole supply chains using various databases such as scopus web of science google scholar 111 papers we found that the iobpcs archetypes have been studied regarding the a modification of four inherent policies related to forecasting inventory lead time and pipeline to create a family of models b adoption of the iobpcs family to reduce supply chain dynamics and in particular bullwhip c extension of the iobpcs family to represent different supply chain scenarios such as order book based production control and closed loop processes simulation is the most popular method adopted by researchers and the number of works based on discrete time based methods is greater than those utilising continuous time approaches most studies are conceptual with limited practical applications described future research needs to focus on cost flexibility and sustainability in the context of supply chain dynamics and although there are a few existing studies more analytical approaches are required to gain robust insights into the influence of nonlinear elements on supply chain behaviour also empirical exploitation of the existing models is recommended

logit demand estimation under competitive pricing behavior an equilibrium framework discrete choice models of demand have typically been estimated assuming that prices are exogenous since unobservable to the researcher product attributes such as coupon availability may impact consumer utility as well as price setting by firms we treat prices as endogenous specifically prices are assumed to be the equilibrium outcomes of nash competition among manufacturers and retailers to empirically validate the assumptions we estimate logit demand systems jointly with equilibrium pricing equations for two product categories using retail scanner data and cost data on factor prices in each category we find statistical evidence of price endogeneity we also find that the estimates of the price response parameter and the brand specific constants are generally biased downward when the endogeneity of prices is ignored our framework provides explicit estimates of the value created by a brand i e the difference between consumers willingness to pay for a brand and its cost of production we develop theoretical propositions about the relationship between value creation and competitive advantage for logit demand systems and use our empirical results to illustrate how firms use alternative value creation strategies to accomplish competitive advantage

an explicit solution for dynamic menu costs with zero discounting abstract in a dynamic stochastic environment small menu costs generate considerable inertia this paper uses the average cost criterion to analyse a model with zero discounting and considers the relationship between the discounted and zero discounting models of dynamic menu costs

comments on information distortion in a supply chain the bullwhip effect in this commentary we trace back how we pursued research on the bullwhip effect which resulted in the article published in management science we reflect on the evolution of this concept the impact that our work has had on industry the way our work has been used in the teaching of supply chain management and the key directions of research that have taken place since then

aggregate uncertainty investment and asymmetric adjustment in the uk manufacturing sector theory suggests that the level of uncertainty facing firms should affect both the rate of adjustment to and the steady state level of investment although there is ambiguity about the sign of the effect a non linear model of investment behaviour incorporating time varying adjustment speeds with threshold effects is estimated for the uk manufacturing sector the most general non linear specification is found to be most congruent with the data uncertainty has a large and significant effect on both levels and rates of adjustment

optimal price setting with observation and menu costs we study the price setting problem of a firm in the presence of both observation and menu costs in this problem the firm optimally decides when to collect costly information on the adequacy of its price an activity which we refer to as a price review upon each review the firm chooses whether to adjust its price subject to a menu cost and when to conduct the next price review this behavior is consistent with recent survey evidence documenting that firms revise prices infrequently and that only a few price revisions yield a price adjustment the goal of the paper is to study how the firm s choices map into several observable statistics depending on the level and relative magnitude of the observation vs the menu cost the observable statistics are the frequency of price reviews the frequency of price adjustments the size distribution of price adjustments and the shape of the hazard rate of price adjustments we provide an analytical characterization of the firm s decisions and a mapping from the structural parameters to the observable statistics we compare these statistics with the ones obtained for the models with only one type of cost the predictions of the model can with suitable data be used to quantify the importance of the menu cost vs the information cost we also consider a version of the model where several price adjustment are allowed between observations a form of price plans or indexation we find that no indexation is optimal for small inflation rates

frequent price changes under menu costs abstract this paper investigates the effect of uncertainty on a single firm s pricing behaviour in a dynamic menu cost model that results in s s rules where the price is fixed inside a band it will be demonstrated that even though the band of inaction widens in response to increased uncertainty the price may be changed more frequent in the short run and in the long run it definitely will hence observing frequent price changes is not necessarily inconsistent with a firm operating under menu costs this paper relies on an article by dixit 1991 review of economic studies 58 141 151 but it offers a different solution technique in particular the solution of the model will be derived explicitly unlike dixit where approximations are resorted to

a sequential entry model with strategic use of excess capacity a model of sequential entry with leontief costs is studied in which demand is isoelastic some or all firms may hold excess capacity in the perfect equilibrium to the entry game firms with a first mover advantage trade off the positioning value of a large investment in capacity leading to a large market share against the possible costs of bearing the burden of entry deterrence through holding excess capacity in equilibrium

the real effects of monetary shocks in sticky price models a sufficient statistic approach abstract we prove that the ratio of kurtosis to the frequency of price changes is a sufficient statistic for the real effects of monetary shocks measured by the cumulated output response following the shock the sufficient statistic result holds in a large class of models which includes taylor 1980 calvo 1983 reis 2006 golosov and lucas 2007 nakamura and steinsson 2010 midrigan 2011 and alvarez and lippi 2014 several models in this class are able to account for the positive excess kurtosis of the size distribution of price changes that appears in the data we review empirical measures of kurtosis and frequency and conclude that a model that successfully matches the microevidence on kurtosis and frequency produces real effects that are about four times larger than in the golosov lucas model and about 30 percent below those of the calvo model we discuss the robustness of our results to changes in the setup including small inflation and leptokurtic cost shocks jel e23 e31

bullwhip effect and supply chain costs with low and high quality information on inventory shrinkage abstract inventory inaccuracy is the mismatch between the recorded inventory and the physical inventory which is severe and widespread in industry a few studies have investigated the bullwhip effect with the existence of inventory inaccuracy the development of information technologies has provided companies with access to accurate inventory information in real time this will surely affect the bullwhip effect and supply chain costs the aim of this paper is to build an analytical model to systematically investigate these effects we consider a retailer manufacturer supply chain in which the retailer faces inventory shrinkage which is the main cause of inventory inaccuracy both the situations with accurate real time inventory information i e high quality information and the situation with statistical inventory information i e low quality information are studied we examine the relationships between the bullwhip effect information distortion and supply chain costs with different levels of information quality the results of our analysis enrich the existing literature on the bullwhip effect first we show that the bullwhip effect is magnified along the chain when higher quality information on inventory shrinkage specifically real time rather than statistical data is obtained second we show that the magnification of the bullwhip effect does not necessarily result in higher costs third we demonstrate that higher quality information increases the benefits of information sharing our paper provides new insights into the causes extent and economic dynamics of order variability in the presence of inventory inaccuracy and may thus suggest ways of more effectively managing the bullwhip effect and inventory

geology or economics testing models of irreversible investment using north sea oil data this paper tests the main implications of models of irreversible investment using data from operations in the oil fields in the north sea discrete time hazard regression models are used to ascertain the influence of economic variables the expected price of oil the variance of the price of oil and the level of reserves on the lag between the discovery of a field and the decision to develop the field we are able to control for heterogeneity in the data by incorporating variables which account for both the geological features of each field and individual operator characteristics the results indicate that the expected price of oil and the level of reserves are important in influencing the appraisal duration but that the variance of the oil price is not variables capturing the non economic features of the individual fields are also found to be significant factors affecting the appraisal lag copyright 1994 by royal economic society

the tail risk premia of the carry trades abstract we study the relationship between the excess returns of portfolios invested in carry trade positions and an innovative global tail risk factor we find that high interest rate currencies are related to innovations in global currency tail risk they deliver low returns in times of unexpected high tail risk and high returns in times of unexpected low tail risk suggesting a standard asset pricing theory approach to explain the returns to the carry trade our tail risk factor can be understood as the interaction of moment based factors such as volatility skewness and kurtosis our results tend to indicate that the interaction of moments i e tail risk rather than the moments alone drives investor behavior this makes sense since the ultimate risk for carry traders is to reach their funding limits which are set because of the regulations on the back of tail risk statistics value at risk and not simply on the back of the volatility the skewness or the kurtosis alone the result holds in other cross sections of currencies and whether the global tail risk indicators are estimated in the currency the equity or the bond market

coordinating inventory control and pricing strategies with random demand and fixed ordering cost the finite horizon case we analyze a finite horizon single product periodic review model in which pricing and production inventory decisions are made simultaneously demands in different periods are random variables that are independent of each other and their distributions depend on the product price pricing and ordering decisions are made at the beginning of each period and all shortages are backlogged ordering cost includes both a fixed cost and a variable cost proportional to the amount ordered the objective is to find an inventory policy and a pricing strategy maximizing expected profit over the finite horizon we show that when the demand model is additive the profit to go functions arek concave and hence an s s p policy is optimal in such a policy the period inventory is managed based on the classical s s policy and price is determined based on the inventory position at the beginning of each period for more general demand functions i e multiplicative plus additive functions we demonstrate that the profit to go function is not necessarilyk concave and an s s p policy is not necessarily optimal we introduce a new concept the symmetrick concave functions and apply it to provide a characterization of the optimal policy

linking individual and aggregate price changes this paper studies the implications of lumpiness and heterogeneity in microeconomic pricing decisions for dynamics in price aggregates to capture the latent deviation between actual and target prices it develops a semi structural empirical model of two sided s s price setting applying the model to a unique panel of store level retail prices reveals that fluctuations in the shape of cross sectional price deviation densities contain extra information on aggregate price change dynamics asymmetry in the density particularly matters idiosyncratic shocks magnify the size but do not alter the direction of aggregate fluctuations when the target price is proxied by the cross store mean price the link between inflation and the price deviation density disappears

monopoly extraction of an exhaustible resource with two markets although much has been written about monopoly extraction of natural resources the case of a resource being sold in two separate markets has escaped notice we find that a monopolist facing two different iso elastic demand schedules extracts more rapidly than the social planner whether or not arbitrage prevents price discrimination between markets jel classification d42 q3 extraction monopoliste d une ressource epuisable quand il y a deux marches meme si l on a ecrit beaucoup a propos de l extraction monopoliste de ressources naturelles epuisables il semble que le cas d une ressource vendue dans deux marches separes n a pas ete traite on decouvre qu un monopoleur faisant face a deux cedules de demande iso elastiques differentes extrait la ressource plus rapidement que le planificateur social que l arbitrage entre les marches empeche ou non la discrimination par les prix

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

on the effects of entry in cournot markets in the framework of symmetric cournot oligopoly this paper provides two minimal sets of assumptions on the demand and cost functions that imply respectively that as the number of firms increases the minimal and maximal equilibria lead to i decreasing industry price and increasing or decreasing per firm output and ii increasing industry price and decreasing per firm output in both cases per firm profits are decreasing the analysis relies crucially on lattice theoretic methods and yields general unambiguous and easily interpretable conclusions of a global nature as a byproduct of independent interest new insight into existence of cournot equilibrium is developed

why are prices sticky the dynamics of wholesale gasoline prices the menu cost interpretation of sticky prices implies that the probability of a price change should depend on the past history of prices and fundamentals only through the gap between the current price and the frictionless price we find that this prediction is broadly consistent with the behavior of nine philadelphia gasoline wholesalers nevertheless we reject the menu cost model as a literal description of these firms behavior arguing instead that price stickiness arises from strategic considerations of how customers and competitors will react to price changes

a structural approach to identifying the sources of local currency price stability the inertia of the local currency prices of traded goods in the face of exchange rate changes is a well documented phenomenon in international economics this paper develops a structural model to identify the sources of this local currency price stability and applies it to micro data from the beer market the empirical procedure exploits manufacturers and retailers first order conditions in conjunction with detailed information on the frequency of price adjustments following exchange rate changes to quantify the relative importance of local non traded cost components markup adjustment by manufacturers and retailers and nominal price rigidities in the incomplete transmission of such changes to prices we find that on average approximately 60 of the incomplete exchange rate pass through is due to local non traded costs 8 to markup adjustment 30 to the existence of own brand price adjustment costs and 1 to the indirect strategic effect of such costs though these results vary considerably across individual brands according to their market shares

menu costs entry deterrence and nominal rigidity this paper studies in a model of entry deterrence conditions under which a small cost of changing nominal prices combined with a real rigidity leads to a large nominal rigidity the entry deterrence environment which generates the real rigidity provides an appealing explanation as to why firms sometimes react to shocks by changing output instead of prices as in ball and romer 1990 a large nominal rigidity arises with some parameter values it is not however monotonically increasing as real prices become more rigid the paper studies in a model of entry deterrence conditions under which a small cost of changing nominal prices combined with a real rigidity leads to a large nominal rigidity the entry deterrence environment which generates the real rigidity provides an appealing explanation as to why firms sometimes react to shocks by changing output instead of prices as in ball and romer 1990 a large nominal rigidity arises with some parameter values it is not however monotonically increasing as real prices become more rigid

competition and structure in serial supply chains with deterministic demand supply chains often consist of several tiers with different numbers of firms competing at each tier a major determinant of the structure of supply chains is the cost structure associated with the underlying manufacturing process in this paper we examine the impact of fixed and variable costs on the structure and competitiveness of supply chains with a serial structure and price sensitive linear deterministic demand the entry stage is modeled as a simultaneous game where the players take the outcomes of the subsequent post entry cournot competition into account in making their entry decisions we derive expressions for prices and production quantities as functions of the number of entrants at each tier of a multitier chain we characterize viability and stability of supply chain structures and show using lattice arguments that there is always an equilibrium structure in pure strategies in the entry game finally we examine the effects of vertical integration in the two tier case altogether the paper provides a framework for comparing a variety of supply chain structures and for studying how they are affected by cost structures and by the number of entrants throughout the chain

creating win win trade promotions theory and empirical analysis of scan back trade deals manufacturer trade promotion spending is second only to cost of goods sold as a profit and loss item yet manufacturers often lose money on these deals as a result of forward buying by retailers the search for more effective forms of trade promotion and the availability of scanners at cash registers has led to the emergence of a new type of trade deal the scan back that gives retailers a discount on unitssoldduring the promotion rather than on unitsbought we develop a theory to compare retailer pricing decisions and profitability under scan back and traditional off invoice trade deals we show that when the terms of the trade deal are identical retailers prefer off invoice trade deals and manufacturers prefer scan backs manufacturers can however redesign the scan back to leave the retailer weakly better off and leave themselves strictly better off using proprietary data from the beverage category we conduct an empirical analysis and find that during the promotion period scan back trade deals relative to off invoice deals 1 do not cause excess ordering and 2 generate higher retail sales through lower retail prices implications for researchers and managers are discussed

inflation dynamics and time varying volatility new evidence and an ss interpretation is monetary policy less effective at increasing real output during periods of high volatility than during normal times in this article i argue that greater volatility leads to an increase in aggregate price flexibility so that nominal stimulus mostly generates inflation rather than output growth to do this i construct price setting models with volatility shocks and show these models match new facts in cpi micro data that standard price setting models miss i then show that these models imply that output responds less to nominal stimulus during times of high volatility furthermore because volatility is countercyclical this implies that nominal stimulus has smaller real effects during downturns for example the estimated output response to additional nominal stimulus in september 1995 a time of low volatility is 55 larger than the response in october 2001 a time of high volatility jel codes e10 e30 e31 e50 d8 copyright 2014 oxford university press

channel coordination and quantity discounts this paper presents a model for analyzing the impact of joint decision policies on channel coordination in a system consisting of a supplier and a group of homogeneous buyers the joint decision policy characterized by the unit selling price and the order quantity is coordinated through quantity discounts and franchise fees both the annual demand rate and the operating cost including the purchase ordering and inventory holding costs depend on the joint decision policy employed this paper contributes by integrating work addressing quantity discounts on inventory and ordering policies and work focusing on the control mechanism provided by quantity discounts in channel coordination it is shown that the optimal all unit quantity discount policy is equivalent to the optimal incremental quantity discount policy in achieving channel coordination furthermore it is shown that quantity discounts alone are not sufficient to guarantee joint profit maximization the analyses of the general models are illustrated by specific analytical results obtained for a given demand function