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Good Dispersion, Bad Dispersion
March 2024
Working Paper Number:
CES-24-13
We document that most dispersion in marginal revenue products of inputs occurs across plants within firms rather than between firms. This is commonly thought to reflect misallocation: dispersion is 'bad.' However, we show that eliminating frictions hampering internal capital markets in a multi-plant firm model may in fact increase productivity dispersion and raise output: dispersion can be 'good.' This arises as firms optimally stagger investment activity across their plants over time to avoid raising costly external finance, instead relying on reallocating internal funds. The staggering in turn generates dispersion in marginal revenue products. We use U.S. Census data on multi-plant manufacturing firms to provide empirical evidence for the model mechanism and show a quantitatively important role for good dispersion. Since there is less scope for good dispersion in emerging economies, the difference in the degree of misallocation between emerging and developed economies looks more pronounced than previously thought.
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Do Firms Mitigate or Magnify Capital Misallocation? Evidence from Plant-Level Data
January 2017
Working Paper Number:
CES-17-14
Almost two thirds of the cross-plant dispersion in marginal revenue products of capital occurs
across plants within the same firm rather than between firms. Even though firms allocate investment very differently across their plants, they do not equalize marginal revenue products across their plants. We reconcile these findings in a model of multi-plant firms, physical adjustment costs and credit constraints. Credit constrained multi-plant firms can utilize internal capital markets by concentrating internal funds on investment projects in only a few of their plants in a given period and rotating funds to another set of plants in the future. The resulting increase in within-firm dispersion of marginal revenue products of capital is hence not a symptom of misallocation within the firm, but rather actions taken by the firm to mitigate external credit constraints and adjustment costs of capital. Economies with multi-plant firms produce more aggregate output despite higher dispersion in marginal revenue products of capital compared to economies with single-plant firms. Because emerging economies are predominantly populated by single-plant firms, the gains from reducing their distortions to the level of developed are
larger than previously thought.
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Financial Frictions and Investment Dynamics in Multi-Plant Firms
October 2013
Working Paper Number:
CES-13-56
Using confidential Census data on U.S. manufacturing plants, we document that most of the dispersion in investment rates across plants occurs within rms instead of across firms. Between- firm dispersion is almost acyclical, but within- rm dispersion is strongly procyclical. To investigate the role of rms in the allocation of capital in the economy, we build a multi-plant model of the firm with frictions at both levels of aggregation. We show that external nancing constraints at the level of the rm can have important implications for plant-level investment dynamics. Finally, we present empirical evidence supporting the predictions of the model.
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CAPITAL AND LABOR REALLOCATION INSIDE FIRMS
April 2013
Working Paper Number:
CES-13-22
We document how a plant-specific shock to investment opportunities at one plant of a firm ("treated plant") spills over to other plants of the same firm-but only if the firm is financially constrained. While the shock triggers an increase in investment and employment at the treated plant, this increase is offset by a decrease at other plants of the same magnitude, consistent with headquarters channeling scarce resources away from other plants and toward the treated plant. As a result of the resource reallocation, aggregate firm-wide productivity increases, suggesting that the reallocation is beneficial for the firm as a whole. We also show that-in order to provide the treated plant with scarce resources-headquarters does not uniformly "tax" all of the firm's other plants in the same way: It is more likely to take away resources from plants that are less productive, are not part of the firm's core industries, and are located far away from headquarters. We do not find any evidence of investment or employment spillovers at financially unconstrained firms.
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Soft Information and Investment: Evidence from Plant-Level Data
October 2010
Working Paper Number:
CES-10-38R
A reduction in travel time between headquarters and plants makes it easier for headquarters to monitor plants and gather 'soft' information--i.e., information that cannot be transmitted through non-personal means. Using a difference-in-differences methodology, I find that the introduction of new airline routes that reduce the travel time between headquarters and plants leads to an increase in plant-level investment of 8% to 9% and an increase in plants' total factor productivity of 1.3% to 1.4%. Consistent with the notion that a reduction in travel time makes it easier for headquarters to monitor plants and gather soft information, I find that my results are stronger: i) for plants whose headquarters are more time constrained; ii) for plants operating in soft-information industries; iii) during the earlier years of my sample period, when alternative, non-personal, means of monitoring and transmitting information were less developed; iv) for plants where information uncertainty is likely to be greater and soft information is likely to be more valuable, such as smaller plants and peripheral plants operating in industries that are not the firm's main industry.
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Linking Investment Spikes and Productivity Growth: U.S. Food Manufacturing Industry
October 2008
Working Paper Number:
CES-08-36
We investigate the relationship between productivity growth and investment spikes using Census Bureau's plant-level data set for the U.S. food manufacturing industry. We find that productivity growth increases after investment spikes suggesting an efficiency gain or plants' learning effect. However, efficiency and the learning period associated with investment spikes differ among plants' productivity quartile ranks implying the differences in the plants' investment types such as expansionary, replacement or retooling. We find evidence of both convex and non-convex types of adjustment costs where lumpy plant-level investments suggest the possibility of non-convex adjustment costs and hazard estimation results suggest the possibility of convex adjustment costs. The downward sloping hazard can be due to the unobserved heterogeneity across plants such as plants' idiosyncratic obsolescence caused by different R&D capabilities and implies the existence of convex adjustment costs. Food plants frequently invest during their first few years of operation and high productivity plants postpone investing due to high fixed costs.
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The Survival of Industrial Plants
October 2002
Working Paper Number:
CES-02-25
The study seeks to explain the attrition rate of new manufacturing plants in the United States in terms of three vectors of variables. The first explains how survival of the fittest proceeds through learning by firms (plants) about their own relative efficiency. The second explains how efficiency systematically changes over time and what augments or diminishes it. The third captures the opportunity cost of resources employed in a plant. The model is tested using maximum-likelihood probit analysis with very large samples for successive census years in the 1967-97 period. One sample consists of an unbalanced panel of about three-fourths of a million plants of single and multi-unit firms, or alternatively of about 300,000 plants if only the most reliable data are considered. The second is restricted to the plants of multi-unit firms in the same time span and consists of an unbalanced panel of more than 100,000 plants. The empirical analysis strongly confirms the predictions of the model.
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The Life Cycles of Industrial Plants
October 2001
Working Paper Number:
CES-01-10
The paper presents a dynamic programming model with multiple classes of capital goods to explain capital expenditures on existing plants over their lives. The empirical specification shows that the path of capital expenditures is explained by (a) complementarities between old and new capital goods, (b) the age of plants, (c) an index that captures the rate of technical change and (d) the labor intensiveness of a plant when it is newly born. The model is tested with Census data for roughly 6,000 manufacturing plants that were born after 1972.
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The Missing Link: Technology, Productivity, and Investment
October 1995
Working Paper Number:
CES-95-12
This paper examines the relationship between productivity, investment, and age for over 14,000 plants in the U.S. manufacturing sector in the 1972-1988 period. Productivity patterns vary significantly due to plant heterogeneity. Productivity first increases and then decreases with respect to plant age, and size and industry are systematically correlated with productivity and productivity growth. However, there is virtually no observable relationship between investment and productivity or productivity growth. Overall, the results indicate that plant heterogeneity and fixed effects are more important determinants of observable productivity patterns than sunk costs or capital reallocation. Key Words: productivity, investment, technical change
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Capital Structure and Product Market Behavior: An Examination of Plant Exit and Investment Decisions
March 1995
Working Paper Number:
CES-95-04
This paper examines whether capital structure decisions interact with product market characteristics to influence plant closing and investment decisions. The empirical evidence in this paper shows that a firm's capital structure, plant level efficiency, and industry capacity utilization are significant determinants of plant (dis)investment decisions. We find that the effects of high leverage on investment and plant closing are significant when the industry is highly concentrated. Following their recapitalizations, firms in industries with high concentration are more likely to close plants and less likely to invest. In addition, we find that rival firms are less likely to close plants and more likely to invest when the market share of leveraged firms is higher.
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