investment spikes new facts and a general equilibrium exploration abstract using plant level data from chile and the u s we show that investment spikes are highly pro cyclical so much so that changes in the number of establishments undergoing investment spikes the extensive margin account for the bulk of variation in aggregate investment the number of establishments undergoing investment spikes also has independent predictive power for aggregate investment even controlling for past investment and sales we re calibrate the thomas 2002 is lumpy investment relevant for the business cycle journal of political economy cx 508 534 model that includes fixed costs of investing so that it assigns a prominent role to extensive adjustment the recalibrated model has different properties than the standard rbc model for some shocks

fixed costs and long lived investments abstract fixed costs models are difficult to analyze because they feature non degenerate time varying distributions of capital across firms if investments are sufficiently long lived however then the cross sectional distribution of capital holdings has virtually no bearing on the equilibrium and the aggregate behavior of fixed cost models is essentially identical to neoclassical models the findings are due to a near infinite elasticity of investment timing for long lived investments a feature shared by fixed cost models and neoclassical models irrelevance results found in numerical studies of fixed cost models are not parametric special cases but instead are fundamental properties of models with long lived investment goods

the role of investment specific technological change in the business cycle this is a quantitative investigation of the importance of technological change speci c to new investment goods for postwar us aggregate uctuations a growth model that incorporates this form of technological change is calibrated to us data and simulated using the relative price of new equipment to identify the process driving investmentspeci c technology shocks the analysis suggests that this form of technological change is the source of about 30 of output uctuations 2000 elsevier science b v all rights reserved

1 000 cash back the pass through of auto manufacturer promotions automobile manufacturers frequently use promotions involving cash incentives while payments are nominally directed to either customers or dealers the ultimate beneficiary of the promotion depends on the outcome of price negotiation we use program evaluation methods to compare the incidence of these two types of promotions customers obtain 70 to 90 percent of a customer rebate but only 30 to 40 percent of a dealer discount promotion a 500 difference for a typical promotion our leading hypothesis is that pass through rates differ because of information asymmetries customer rebates are well publicized to customers while dealer discount promotions are not

heterogeneity and aggregation implications for labor market fluctuations comment abstract chang and kim 2007 develop an incomplete asset markets model incorporating discrete labor supply and idiosyncratic labor productivity their results resolve long standing puzzles for bus

declining volatility in the u s automobile industry dramatic changes in the volatility of output occurred in the u s auto industry in the early 1980s namely output volatility declined the covariance of inventory investment and sales grew more negative and adjustments to production schedules which in earlier decades stemmed primarily from plants hiring and laying off workers were more often accomplished with changes in average hours per worker after the mid 1980s using a linear quadratic inventory model with intensive and extensive labor adjustments we show how all of these changes could have stemmed from one underlying factor a decline in the persistence of motor vehicle sales jel g31 l25 l62 m11

lumpy investment and corporate tax policy in the presence of both convex and nonconvex capital adjustment costs in a dynamic general equilibrium model corporate tax policy generates both intensive and extensive margin effects via the channel of marginal q i ts impact is determined largely by the strength of the extensive margin effect which in turn depends on the cross sectional distribution of firms depending on the initial distribution of firms the economy displays asymmetric responses to tax changes moreover an anticipated increase in the future investment tax credit reduces investment and adjustment rate initially

non convexities in the adjustment of different capital inputs a firm level investigation recent developments in investment research have highlighted the importance of non convexities and irreversibilities in firms adjustment of quasi fixed inputs aggregation across capital goods may smooth out the discontinuities associated with the adjustment of individual assets lack of suitable data is one of the reasons why empirical work has typically relied on the assumption of capital homogeneity in this paper we exploit a data set of 1539 italian firms which allows us to disaggregate capital into equipment and structures and purchases and sales of assets we construct measures of fundamental q to capture investment opportunities associated with each asset we uncover the pattern of dynamic adjustment by using non parametric techniques to relate each individual investment to its own fundamental q

consumer durables and inertial behaviour estimation and aggregation of s s rules for automobile purchases the s s model originally introduced in the study of inventories see arrow et al 1951 scarf 1959 has recently received renewed attention both in the durable consumption and in the investment and labour demand literatures caballero 1993 for instance appeals to these type of models to explain the time series properties of durable expenditure and in particular the persistence or slow adjustment of such a variable in this paper i model the purchase behaviour of automobiles by u s households as an s s rule i estimate a flexible specification of such a rule using a large microeconomic data set and study some of the aggregate implications of this type of inertial behaviour the paper is one of the first attempts at estimating directly the parameters of an s s rule using micro data because of this some of the methodological issues concerning the specification and the estimation of s s rules are relevant for many potential applications furthermore the paper is one of the first to discuss and quantify the aggregate implications of an s s rule estimated on micro data in the presence of non convex transaction costs a full and consistent characterization of individual behaviour is very hard and typically requires strong restrictions grossman and laroque 1991 prove that an s s rule is optimal for a consumption and investment problem under very special circumstances some of their results were extended by eberly 1991 and beaulieu 1993a b eberly 1991 in particular has derived some closed form solutions for durable consumption in the presence of transaction costs while caballero and engel 1994 construct a model of investment where an s s rule is optimal the main problem with these theoretical results is that it is only possible to show optimality of s s rules under very stringent conditions in particular a necessary condition to derive them is that the optimization problem faced by an individual consumer can be reduced to a problem with a single state variable unfortunately as pointed out by bar ilan and blinder 1992 even simple generalizations are extremely difficult to analyse

partial adjustment without apology econometric partial adjustment models perform relatively well at the aggregate level however many kinds of microeconomic behavior involve discrete and occasional choices analyzing the classic employment adjustment problem we show how a generalized partial adjustment model tractably accommodates both observations by aggregating the actions of heterogeneous producers facing fixed adjustment costs aggregate disturbances cause changes in establishment level target employment and in the measure of establishments actively adjusting to their target whereas aggregate responses exhibit partial adjustment our framework also can be applied in general equilibrium settings with persistent idiosyncratic shocks without forfeiting the convenient use of linear solution methods

automakers short run responses to changing gasoline prices abstract we provide empirical evidence that automobile manufacturers use cash incentives to offset how gasoline price fluctuations affect the expected fuel expenses of automobile buyers regressions based on a database of incentives over 2003 to 2006 suggest that on average manufacturers offset 40 of the change in relative fuel costs between vehicles due to gasoline price fluctuations the results highlight that carbon taxes and emissions trading programs likely would generate substantial substitution within vehicle classes and studies that ignore manufacturer discounting likely underestimate consumer demand for fuel economy the results also have implications for the optimal design of feebate programs

voluntary export restraints on automobiles evaluating a trade policy the authors evaluate the voluntary export restraint that was initially placed on exports of automobiles from japan in 1981 they evaluate the impact this policy had on u s consumer welfare firm profits and foregone tariff revenue from its initiation through 1990

why is production more volatile than sales theory and evidence on the stockout avoidance motive for inventory holding this paper argues that the macroeconomically interesting features of inventory behavior are well captured by a model in which firms face only demand uncertainty with a nonnegativity constraint on inventories empirical implications of the stockout avoidance model of inventory behavior are derived and then tested on disaggregated automobile industry data the results largely support the model though they suggest a small role for production smoothing as well subsidiary evidence on the relative variance of demand and cost shocks suggests that demand shocks are indeed more important

lumpiness capital adjustment costs and investment dynamics aggregate investment in the us economy displays a hump shaped pattern in response to shocks and the autocorrelation of aggregate investment growth is positive for the first few quarters turning negative for the later quarters this paper shows that this feature of the data is the natural outcome of a two sector consumption investment model designed and calibrated to reproduce plant level evidence on capital accumulation

hospital competition spillovers and provision of uncompensated care using data for california from 2005 until 2010 we investigate to what extent market competition and the presence of non profits in the area may play a role in equilibrium uncompensated care uc l

nonconvex factor adjustments in equilibrium business cycle models do nonlinearities matter recent empirical analysis has found nonlinearities to be important in understanding aggregated investment using an equilibrium business cycle model we search for aggregate nonlinearities arising from the introduction of nonconvex capital adjustment costs we find that while such costs lead to nontrivial nonlinearities in aggregate investment demand equilibrium investment is effectively unchanged our finding based on a model in which aggregate fluctuations arise through exogenous changes in total factor productivity is robust to the introduction of shocks to the relative price of investment goods

lumpy investment lumpy inventories the link between the physical micro environment frictions and heterogeneity and the macroeconomic dynamics in general equilibrium macro models is influenced by the details of how exactly general equilibrium closes such a model we make this general observation concrete in the context of the recent literature on how important nonconvex capital adjustment costs are for aggregate investment dynamics specifically we introduce inventories into a two sector lumpy investment model we find that with inventories nonconvex capital adjustment costs dampen and propagate the reaction of investment to shocks the initial response of fixed capital investment to productivity shocks is 50 higher with frictionless adjustment than with the calibrated capital adjustment frictions once inventories are introduced the reason for this result is that with two means of transferring consumption into the future fixed capital and inventories the tight link between aggregate saving and fixed capital investment is broken in contrast in the case the literature has focussed on with only one type of capital good to save and invest in fixed capital investment dynamics are more tightly linked to consumption dynamics which in turn are determined by the euler equation of a representative household which holds regardless of whether fixed capital investment is costly or not

indivisible labor lotteries and equilibrium abstract this paper considers an economy where labor is indivisible and agents are identical although the discontinuity in labor supply at the individual level disappears as a result of aggregation it is shown that indivisible labor has strong consequences for the aggregate bahavior of the economy it is also shown that optimal allocations involve lotteries over employment and consumption

statistical nonlinearities in the business cycle a challenge for the canonical rbc model abstract the cyclical components of u s macroeconomic time series exhibit significant nonlinearities standard equilibrium models of business cycles cannot replicate nonlinear features of the data applying the efficient method of moments gallant a r tauchen g 1996 which moments to match econometric theory 12 4 657 681 to build an algorithm that searches over the model s parameter space establishes the parameterization that best allows replication of all statistical properties of the data the results show that under this parameterization the model captures nonlinearities in investment but fails to account for observed properties of consumption

fashion styling and the within season decline in automobile prices between 1954 and 1989 the seasonal variation in retail new car prices declined while the annual percentage decline in used car prices lessened to explain these long term changes this article suggests that a rise in the cost of a major model change has reduced the frequency of major model changes changed the characteristics of new models and resulted in smaller within season price declines new cars of adjacent model years have become closer substitutes as the importance of the annual model change has lessened the american automobile has slowly become less of a fashion product because it has become increasingly costly to supply frequent styling changes in contrast the within season price decline in women s apparel has increased over time as fashion has become more important reasons for the different price patterns are investigated

quantifying uk capital adjustment costs this paper estimates uk capital adjustment costs using manufacturing and service industry data for 19702000 there is evidence of significant adjustment costs with a 1 increase in investment reducing value added by 0 05 this implies an elasticity of investment with respect to tobin s q of 2 5 and a convergence time for capital of 12 years the results suggest that adjustment costs may have caused half of the slowdown in uk total factor productivity tfp growth during the second half of the 1990s the impact is larger than that reported for the united states reflecting larger adjustment costs and higher investment growth

a comment on the economics of labor adjustment mind the gap reply in earlier contributions ricardo j caballero and eduardo m r a engel 1993 hereafter ce and caballero et al 1997 hereafter ceh investigate labor dynamics using a methodology which postulates that employment changes depend on a gap between the actual and target levels of employment both studies find evidence of nonlinearities in aggregate timeseries data employment growth depends on the cross sectional distribution of employment gaps this finding is taken as evidence that nonlinear adjustment at the microeconomic level matters for aggregate time series this is important for business cycle and policy analysis as it implies macroeconomics must take the cross sectional distribution of employment gaps into account this paper questions the methodology and thus the conclusions of these studies we argue that these reported aggregate nonlinearities may be the consequence of mismeasurement of the gap rather than nonlinearities in plant level adjustment both ce and ceh rely upon a hypothesis that employment growth responds to a gap z between the desired and actual number of workers at a plant the advantage to the gap approach is that the choice of employment an inherently difficult dynamic optimization problem is characterized through a nonlinear relationship between and z that is the adjustment rate z is postulated to be a nonlinear function of z however there is no free lunch the desired number of workers and hence the employment gap is unobservable thus in order to confront data this approach needs an auxiliary theory to infer z from observed variables both ce and ceh use observed hours variations to infer the employment gap this inference is one element of our critique of the gap methodology to assess this methodology we simulate data from the solution of a dynamic model of labor adjustment assuming quadratic adjustment cooper department of economics university of texas austin tx 78712 e mail cooper eco utexas edu willis research department federal reserve bank of kansas city kansas city mo 64198 e mail jonathan willis kc frb org we are grateful to seminar participants at boston university emory university the university of british columbia the federal reserve bank of boston the university of haifa the university of iowa the university of michigan the university of pennsylvania the university of texas at austin the 2002 nber ef meeting and the 2000 cmsg conference at mcmaster university for comments and suggestions discussions with eduardo engel john haltiwanger daniel hamermesh peter klenow and christopher ragan were much appreciated the authors thank the nsf for financial support we also appreciate comments from the referees cooper thanks the federal reserve bank of minneapolis for its hospitality during revisions of this manuscript the views expressed herein are solely those of the authors and do not necessarily reflect the views of the federal reserve bank of kansas city the federal reserve bank of minneapolis or the federal reserve system 1 daniel hamermesh 1989 uses a gap methodology as well but does not adopt the approach of estimating a nonlinear hazard function explained below to infer the nature of adjustment costs hence we focus on ce and ceh in this discussion of methodology 2 we do not contest the general view of nonlinear employment adjustment at the plant level this finding is consistent with other evidence that points to inactivity as well as bursts of employment adjustment at the plant level for example hamermesh 1989 provides a revealing discussion of lumpy labor adjustment at a set of manufacturing plants steven davis and john haltiwanger 1992 document large employment changes at the plant level ceh also report evidence of inactivity in plant level employment adjustment there seems little doubt that an explanation of plant level employment dynamics requires a model of adjustment that is richer than the quadratic adjustment cost structure and includes some forms of nondifferentiability and or nonconvexity 3 as the gap approach is used in numerous other applications capital adjustment durable adjustment price adjustment to approximate the solution to dynamic optimization problems our concerns may be relevant for those exercises as well

explaining investment dynamics in u s manufacturing a generalized s s approach we are grateful to olivier blanchard whitney newey james stock an editor three anonymousreferees and seminar participants at brown cepr champoussin chicago columbia econometric society meetings caracas and tokyo efcc harvard impa lse nber princeton rochester site toronto u de chile and yale for their comments financial support to caballero from the national science and sloan foundations and to engel from fondecyt grant 195 510 and the mellon foundation grant 9608 is gratefully acknowledged 2since plants entry is excluded from their sample these statistics are likely to represent lowerbounds on the degree of lumpiness in plants investment patterns 3we use the word project to emphasize the fact that the actual implementation of a projectmay cover more than a year observation realistic time to build aspects of investment are not incontradiction with the view that investment episodes are lumpy in nature 4 see chirinko 1994 for a survey of the empirical investment literature

durable goods oligopoly with secondary markets the case of automobiles we study the effects of durability and secondary markets on equilibrium firm behavior in the car market we construct a dynamic oligopoly model of a differentiated product market to incorporate the equilibrium production dynamics that arise from the durability of the goods and their active trade in secondary markets we derive an econometric model and estimate its parameters using data from the automobile industry over a 20 year period our estimates are used to provide a measure of the competitive importance of the secondary market

heterogeneous car buyers a stylized fact abstract we analyze quarterly data on light vehicle sales and buyer income to show that both prices and the income of buyers fall over the model year the result is relevant to determining the rate of quality improvement of goods

the economic crisis from a neoclassical perspective abstract this paper assesses the 2007 2009 recession using neoclassical business cycle theory i find that the 2007 2009 u s recession differs substantially from other postwar u s recessions and also from the 2008 recession in other countries in that lower labor input accounts for virtually all of the decline in income and output in the united states while lower productivity accounts for much of other u s recessions and the 2007 2009 recession in other countries i also find that existing classes of models including financial market imperfections models do not explain the u s recession this is because the 2007 2009 recession is almost exclusively related to what appear to be labor market distortions that drive a wedge between the marginal product of labor and the marginal rate of substitution between consumption and leisure a topic about which current classes of financial imperfection models are largely silent i discuss future avenues for developing this class of models and i consider alterna

is lumpy investment relevant for the business cycle the lumpiness of investment activity at the plant level is a well established fact previous research has suggested that such discrete and occasional adjustments have significant aggregate implications in particular it has been argued that changes in plants willingness to invest in response to aggregate shocks can at times generate large movements in total investment demand in this study i reassess these predictions in a general equilibrium environment specifically assuming nonconvex costs of capital adjustment i derive generalized s s adjustment rules yielding lumpy plant level investment within an otherwise standard equilibrium business cycle model in contrast to previous partial equilibrium analyses model results reveal that the aggregate effects of lumpy investment are negligible in general equilibrium households preference for relatively smooth consumption profiles offsets changes in aggregate investment demand implied by the introduction of lumpy plant level investment as a result

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

income and wealth heterogeneity in the macroeconomy how do movements in the distribution of income and wealth affect the macroeconomy we analyze this question using a calibrated version of the stochastic growth model with partially uninsurable idiosyncratic risk and movements in aggregate productivity our main finding is that in the stationary stochastic equilibrium the behavior of the macroeconomic aggregates can be almost perfectly described using only the mean of the wealth distribution this result is robust to substantial changes in both parameter values and model specification our benchmark model whose only difference from the representative agent framework is the existence of uninsurable idiosyncratic risk displays far less cross sectional dispersion and skewness in wealth than u s data however an extension that relies on a small amount of heterogeneity in thrift does succeed in replicating the key features of the wealth data furthermore this extension features aggregate time series that depart significantly from permanent income behavior

three strikes and you re out reply to cooper and willis cooper and willis 2003 is the latest in a sequence of criticisms of our methodology for estimating aggregate nonlinearities when microeconomic adjustment is lumpy their case is based on reproducing our main findings using artificial data generated by a model where microeconomic agents face quadratic adjustment costs that is they supposedly find our results where they should not be found the three claims on which they base their case are incorrect their mistakes range from misinterpreting their own simulation results to failing to understand the context in which our procedures should be applied they also claim that our approach assumes that employment decisions depend on the gap between the target and current level of unemployment this is incorrect as well since the gap approach has been derived formally from at least as sophisticated microeconomic models as the one they present on a more positive note the correct interpretation of cooper and willis s results shows that our procedures are surprisingly robust to significant departures from the assumptions made in our original derivations

inventories and the business cycle an equilibrium analysis of s s policies we develop an equilibrium business cycle model where nonconvex delivery costs lead firms to follow s s inventory policies calibrated to postwar us data the model reproduces two thirds of the cyclical variability of inventory investment moreover it delivers strongly procyclical inventory investment greater volatility in production than sales and a countercyclical inventory to sales ratio our model challenges several prominent claims involving inventories including the widely held belief that they amplify aggregate fluctuations despite the comovement between inventory investment and final sales gdp volatility is essentially unaltered by inventory accumulation because procyclical inventory investment diverts resources from final production thereby dampening fluctuations in sales

measuring factor adjustment costs i estimate adjustment costs for labor and capital from the euler equations for factor demand for both factors i find relatively strong evidence against substantial adjustment costs my estimates use annual data from two digit industries my results support the view that rents arising from adjustment costs are relatively small and are not an important part of the explanation of the large movements of the values of corporations in relation to the reproduction costs of their capital i investigate the potential effects of three types of specification error 1 aggregation over time 2 aggregation over firms with heterogeneous demand shocks and 3 estimation of a convex adjustment cost technology in the presence of nonconvex discrete adjustment costs i find that the likely biases from these specification errors are relatively small

heterogeneity aggregate uncertainty and the short term interest rate this article analyzes the relationship between the short term interest rate and diversity i e the number of types in models with heterogeneous agents and incomplete markets the number of types needed to approximate a continuum varies across examples in all cases however the number of types has little effect on the average interest rate and consumption variability in these models the set of state variables is large because the equilibrium law of motion depends on the cross sectional wealth distribution the article shows how to solve these models numerically by approximating the distribution using moments or percentiles

inventories and the volatility of production a stylized fact associated with inventory behavior is that the variance of production exceeds the variance of sales this paper presents a model of production decisions with demand uncertainty that incorporates no nnegativity constraints on inventories even with no productivity shocks optimal behavior by the firm is consistent with this stylized fact either if demand exhibits positive serial correlation or if the firm can backlog excess demand the reason is that a demand shock affects both the actual inventory level given unchanged production and the desired level production must replenish the stock and adjust to the new desired level copyright 1987 by american economic association

the evolution of price dispersion in the european car market car prices in europe are characterized by large and persistent differences across countries the purpose of this paper is to document and explain this price dispersion using a panel data set extending from 1980 to 1993 we first demonstrate two main facts concerning car prices in europe i the existence of significant differences in quality adjusted prices across countries with italy and the u k systematically representing the most expensive markets 2 substantial year to year volatility that is to a large extent accounted for by exchange rate fluctuations and the incomplete response of local currency prices to these fluctuations these facts are analysed within the framework of a multiproduct oligopoly model with product differentiation the model identifies three potential sources for the international price differences price elasticities generating differences in markups costs and import quota constraints local currency price stability can be attributed either to the presence of a local component in marginal costs or to markup adjustment that is correlated with exchange rate volatility the latter requires that the perceived elasticity of demand is increasing in price we find that the primary reason for the higher prices in italy is the existence of a strong bias for domestic brancs that generates high markups for the domestic firm fiat in the u k higher prices are mainly attributed to better equipped cars and or differences in the dealer discount practices the import quota constraints are found to have a significant impact on japanese car prices in italy france and the u k with respect to local currency price stability a large percentage of the documented price inertia can be attributed to local costs and a smaller fraction to markup adjustment that is indicative of price discrimination based on these results we conjecture that the emu will substantially reduce the year to year volatility observed in the car price data but without further measures to increase european integration it will not completely eliminate existing cross country price differences

investment dynamics with information costs investment in physical capital at the micro level is infrequent and large or lumpy the most common explanation for this is that firms face non convex physical adjustment costs the model developed in this paper shows that information costs make investment lumpy at the micro level even in the absence of non convex adjustment costs when collecting and processing information is costly the firm optimally chooses to do it sporadically and to be inactive most of the time this behavior results in infrequent and possibly large capital adjustments the model fits plant level investment rate moments well and it also matches some higher order moments of aggregate investment rates keywords investment dynamics information costs inattentiveness lumpy investment jel classification d21 d83 d92 e22

optimal pricing with costly adjustment evidence from retail grocery prices in many theoretical models it is assumed that there are costs associated with adjusting prices in this paper the existence type and magnitude of such costs are investigated empirically a discrete choice dynamic programming model that nests fixed and variable costs is developed and econometric estimates of the adjustment cost function are obtained the data used to implement the model consist of weekly retail prices and sales of three brands of saltine crackers sold by four chains of grocery stores in a small u s town the study has several distinguishing characteristics first the data are highly disaggregate at the level of brand and store second variables are sampled at weekly intervals third the model nests fixed and variable adjustment costs and can therefore determine their relative importance finally the discrete choice model is both structural and dynamic

zeros and lumps in investment empirical evidence on irreversibilities and nonconvexities the objective of this paper is to investigate if and how capital adjustment departs from the smooth pattern implied by standard model based on convex adjustment costs using norwegian micro data we start by documenting the intermittent and lumpy nature of investment rates we then present two pieces of econometric evidence on these issues first we estimate a discrete hazard model to determine the probability of having an episode of high investment conditional on the length of the interval from the last high investment episode second we estimate a switching regression model that allows for the response of the investment rate to fundamentals to differ across regimes in both cases we investigate the aggregate implications of our results

contractual externalities and systemic risk we study effort and risk taking behaviour in an economy with a continuum of principal agent pairs where each agent exerts costly hidden effort principals write contracts based on both absolute and relative performance evaluations ape and rpe respectively to make individually optimal risk return trade offs but do not take into account their impact on endogenously determined aggregate variables this results in contractual externalities when these aggregate variables are used as benchmarks in contracts contractual externalities have welfare changing effects when principals put too much weight on ape or rpe due to information frictions relative to the second best if the expected productivity is high risk averse principals over incentivize their own agents triggering a rat race in effort exertion resulting in over investment in effort and excessive exposure to industry risks the opposite occurs when the expected productivity is low inducing pro cyclical investment and risk taking behaviours

inventories and the automobile market this article studies the within model year pricing production and inventory management of new automobiles using new monthly data on u s transaction prices we document that for the typical vehicle prices fall over the model year at a 9 0 annual rate concurrently both sales and inventories are hump shaped to explain these time series we formulate an industry model for new automobiles in which inventory and pricing decisions are made simultaneously the model predicts that automakers build to stock inventory management policy substantially influences the time series of prices and sales accounting for four tenths of the price decline observed over the model year

machine replacement and the business cycle lumps and bumps this paper explores investment fluctuations due to discrete changes in a plant s capital stock the resulting aggregate investment dynamics are surprisingly rich reflecting the interaction between a replacement cycle the cross sectional distribution of the age of the capital stock and an aggregate shock using plant level data lumpy investment is procyclical and more likely for older capital further the predicted path of aggregate investment that neglects vintage effects tracks actual aggregate investment reasonably well however ignoring fluctuations in the cross sectional distribution of investment vintages can yield predictable nontrivial errors in forecasting changes in aggregate investment

when do secondary markets harm firms to investigate whether secondary markets aid or harm durable goods manufacturers we build a dynamic model of durable goods oligopoly with transaction costs in the secondary market calibrating model parameters using data from the us automobile industry we find the net effect of opening the secondary market is to decrease new car manufacturers profits by 35 percent counterfactual scenarios in which the size of the used good stock decreases such as when products become less durable when the number of firms decreases or when firms can commit to future production levels increase the profitability of opening the secondary market

lumpy investment sticky prices and the monetary transmission mechanism abstract smoothness in aggregate capital accumulation is a necessary condition for new keynesian nk models to imply a quantitatively relevant monetary transmission mechanism see e g woodford 2005 firm specific capital and the new keynesian phillips curve international journal of central banking 2 1 46 can that aggregate smoothness be entertained in the context of an nk model featuring lumpy plant level investment our answer is yes imperfect competition in goods markets and or sticky prices are identified as economic mechanisms which render lumpy investment relevant in general equilibrium

long run implications of investment specific technological change an attempt is made to disentangle its effects from the more traditional hicksneutral form of technological progress the balanced growth path for the model is characterized and calibrated to u s national income and product account nipa data the quantitative analysis suggests that investment specific technological change accounts for the major part of growth jel e13 030 041 047

organizational capital technology adoption and the productivity slowdown abstract there is evidence linking the productivity slowdown of the 1970s and 1980s to changing patterns of technological adoption related to the spread of information technology it notably it appears to require plant level reorganization for its full implementation i develop a general equilibrium model in which organizational capital plays a central role in establishment dynamics and study its transition path after a shock in the form of an incompatibility between new technologies and previously accumulated plant level expertise the behavior of the model is consistent with the structure of the slowdown as well as the subsequent resurgence further applications are discussed

dynamics of consumer demand for new durable goods most new consumer durable goods experience rapid prices declines and quality improvements suggesting the importance of modeling dynamics this paper specifies a dynamic model of consumer preferences for new durable goods with persistently heterogeneous consumer tastes rational expectations and repeat purchases over time we estimate the model on the digital camcorder industry using panel data on prices sales and characteristics we find that the 1 year elasticity in response to a transitory industrywide price shock is about 25 percent less than the 1 month elasticity standard cost of living indices overstate welfare gain in later periods due to a changing composition of buyers

sales and consumer inventory temporary price reductions sales are common for many goods and naturally result in a large increase in the quantity sold we explore whether the data support the hypothesis that these increases are at least partly due to demand anticipation at low prices consumers store for future consumption this effect if present has broad economic implications we test the predictions of an inventory model using scanner data with two years of household purchases the results are consistent with an inventory model and suggest that static demand estimates may overestimate price sensitivity

optimal investment with lumpy costs abstract in this paper we analyze a continuous time model of investment with uncertainty irreversibility and a broad class of lumpy adjustment costs we show that the two components of the optimal investment strategy the investment trigger and the investment increment can be found sequentially and that the optimal investment increment maximizes a closed form function solving the model numerically we find that adding a relatively small amount of variable adjustment costs often leads firms to invest in much smaller increments we derive a measure of user cost that incorporates lumpy investment and use it to show that as firms invest in bigger increments the investment trigger increases as well

adjustment costs and threshold effects in factor demand relationships abstractit has been recently argued that producers may not respond to every input price change in the way that a linear factor demand model would predict this lumpy response is due to adjustment costs that are inherent in the act of adjusting the mix of inputs applied in the underlying production technologies this study aims to provide a solid conceptual framework for these nonlinearities in factor demand relationships industry specific implications of convex and non convex adjustment costs for the linearity of the factor demand relationships as well as price and substitution elasticities are explored a two regime threshold system of factor demand equations is estimated for several manufacturing industries in the united states empirical results suggest significant threshold effects in the factor demand relationships in most nondurable goods sectors the size and the nature of thresholds depend upon industry characteristics including input composition and non convexity of underlying adjustment costs

explaining differences in productive efficiency an application to belgian municipalities the purpose of this paper is to measure and explain variations in productive efficiency of municipal governments in belgium technical efficiency is evaluated using a non parametric method based on the free disposal hull fdh reference technology we first calculate input output and graph farrell efficiency measures for a cross section of all 589 belgian municipalities in a second stage of the analysis we explain the calculated differences in efficiency in terms of variables related to the structural characteristics of municipalities and to the institutional environment

idiosyncratic shocks and the role of nonconvexities in plant and aggregate investment dynamics we examine a model of lumpy investment wherein establishments face persistent shocks to common and plant specific productivity and nonconvex adjustment costs lead them to pursue generalized s s investment rules we allow persistent heterogeneity in both capital and total factor productivity alongside low level investments exempt from adjustment costs to develop the first model consistent with available evidence on establishment level investment rates reassessing the implications of lumpy investment for aggregate dynamics in this setting we find that they remain substantial when factor supply considerations are ignored but are quantitatively irrelevant in general equilibrium the substantial implications of general equilibrium extend beyond the dynamics of aggregate series while the presence of idiosyncratic shocks makes the time averaged distribution of plant level investment rates largely invariant to market clearing movements in real wages and interest rates we show that the dynamics of plants investments differ sharply in their presence thus model based estimations of capital adjustment costs involving panel data may be quite sensitive to the assumption about equilibrium our analysis also offers new insights about how nonconvex adjustment costs influence investment at the plant when establishments face large and weakly persistent idiosyncratic productivity shocks consistent with existing estimates we find that nonconvex costs do not cause lumpy investments but act to eliminate them

are consumers myopic evidence from new and used car purchases abstract we investigate whether car buyers are myopic about future fuel costs we estimate the effect of gasoline prices on short run equilibrium prices of cars of different fuel economies we then compare the implied changes in willingness to pay to the associated changes in expected future gasoline costs for cars of different fuel economies in order to calculate implicit discount rates using different assumptions about annual mileage survival rates and demand elasticities we calculate a range of implicit discount rates similar to the range of interest rates paid by car buyers who borrow we interpret this as showing little evidence of consumer myopia jel d12 h25 l11 l62 l71 l81

product differentiation and oligopoly in international markets the case of the u s automobile industry this paper develops and estimates a model of the u s automobile industry on the demand side a discrete choice model is adopted that is estimated using micro data from the consumer expenditure survey the estimation results are used in conjunction with population weights to derive aggregate demand on the supply side the automobile industry is modelled as an oligopoly with product differentiation equilibrium is characterized by the first order conditions of the profit maximizing firms the estimation results are used in counterfactual simulations to investigate two trade policy issues the effects of the ver and exchange rate pass through

non convex costs and capital utilization a study of production scheduling at automobile assembly plants i study detailed data from eleven automobile assembly plants these data display considerable cross plant heterogeneity in production scheduling to explain the observed heterogeneity i solve a dynamic programming model when desired production is below the plant s minimum e cient scale non convexities induce production bunching the plant uses less than full capital utilization on average and production is more volatile than sales when desired production is above the plant s minimum e cient scale the plant operates in a convex region of the cost curve in this case it uses high levels of capital utilization and production is less volatile than sales 2000 elsevier science b v all rights reserved jel classixcation e23 d21 l23

plant level nonconvex output adjustment and aggregate fluctuations in most manufacturing industries plant level output is adjusted along three margins of capacity utilization shiftwork weekend work and closing temporarily down due to the discrete and lumpy nature of these margins only a fraction of plants adjust output in response to shocks in a business cycle model calibrated to establishment level observations these nonconvexities make aggregate output less volatile than when plants can adjust smoothly further the mass of adjusting plants is larger in downturns than in upturns leading to counter cyclical volatility of aggregate output and government policy being slightly more effective in recessions than in expansions

intertemporal substitution and new car purchases this article presents a dynamic demand model for motor vehicles this approach accounts for the change in the mix of consumers over the model year and measures consumers substitution patterns across products and time i find intertemporal substitution is significant consumers are more likely to change the timing of their purchase in reaction to a price increase rather than buy another vehicle in the same period further i find automakers use of large cash back rebates at the end of the model year although boosting overall sales induces large numbers of consumers to delay their purchases and so pay lower prices

the response of prices sales and output to temporary changes in demand we determine empirically how the big three automakers accommodate shocks to demand they have the capability to change prices alter labor inputs through temporary layoffs and overtime or adjust inventories these adjustments are interrelated non convex and dynamic in nature combining weekly plant level data on production schedules and output with monthly data on sales and transaction prices we estimate a dynamic profit maximization model of the firm using impulse response functions we demonstrate that when an automaker is hit with a demand shock sales respond immediately prices respond gradually and production responds only after a delay the size of the immediate sales response is linear in the size of the shock but the delayed production response is non convex in the size of the shock for sufficiently large shocks the cumulative production response over the product cycle is an order of magnitude larger than the cumulative price response we examine two recent demand shocks the ford explorer firestone tire recall of 2000 and the september 11 2001 terrorist attacks