-
Beyond Cobb-Douglas: Estimation of a CES Production Function with Factor Augmenting Technology
February 2011
Working Paper Number:
CES-11-05
Both the recent literature on production function identification and a considerable body of other empirical work on firm expansion assume a Cobb-Douglas production function. Under this assumption, all technical differences are Hicks neutral. I provide evidence from US manufacturing plants against Cobb-Douglas and present an alternative production function that better fits the data. A Cobb Douglas production function has two empirical implications that I show do not hold in the data: a constant cost share of capital and strong comovement in labor productivity and capital productivity (revenue per unit of capital). Within four digit industries, differences in cost shares of capital are persistent over time. Both the capital share and labor productivity increase with revenue, but capital productivity does not. A CES production function with labor augmenting differences and an elasticity of substitution between labor and capital less than one can account for these facts. To identify the labor capital elasticity, I use variation in wages across local labor markets. Since the capital cost to labor cost ratio falls with local area wages, I strongly reject Cobb-Douglas: capital and labor are complements. Now productivity differences are no longer neutral, which has implications on how productivity affects firms' decisions to expand or contract. Non neutral technical improvements will result in higher stocks of capital but not necessarily more hiring of labor. Specifying the correct form of the production function is more generally important for empirical work, as I demonstrate by applying my methodology to address questions of misallocation of capital.
View Full
Paper PDF
-
The Effects of Environmental Regulation on the Competiveness of U.S. Manufacturing
January 2011
Working Paper Number:
CES-11-03
Whether and to what extent environmental regulations influence the competitiveness of firms remains a hotly debated issue. Using detailed production data from tens of thousands of U.S. manufacturing plants drawn from Annual Survey of Manufactures, we estimate the effects of environmental regulations'captured by the Clean Air Act Amendments' division of counties into pollutant-specific nonattainment and attainment categories'on manufacturing plants' total factor productivity (TFP) levels. We find that among surviving polluting plants, a nonattainment designation is associated with a roughly 2.6 percent decline in TFP. The regulations governing ozone have particularly discernable effects on productivity, though effects are also seen among particulates and sulfur dioxide emitters. Carbon monoxide nonattainment, on the other hand, appears to increase measured TFP, though this appears to be concentrated among refineries. When we apply corrections for two likely sources of positive bias in these estimates (price mismeasurement and sample selection on survival), we estimate that the total TFP loss for polluting plants in nonattaining counties is 4.8 percent. This corresponds to an annual lost output in the manufacturing sector of roughly $14.7 billion in 1987 dollars ($24.4 billion in 2009 dollars). These costs have important implications for both the intensity and location of firm expansions.
View Full
Paper PDF
-
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.
View Full
Paper PDF
-
Tariff Pass-Through, Firm Heterogeneity and Product Quality
October 2010
Working Paper Number:
CES-10-37
Previous studies on tariff pass-through were constrained at the industry level. This paper is the first attempt to explore tariff pass-through at the firm level, and to investigate how it depends on firm heterogeneity in productivity and product differentiation in quality. Using an extended version of the Melitz and Ottaviano (2008) model, I show that exporting firms absorb tariff changes by adjusting both their markups and product quality, which leads to an incomplete tariff pass-through. Moreover, tariff absorption elasticity negatively depends on firm productivity for quality differentiated goods, but positively depends on firm productivity for quality homogeneous goods. Using the U.S. transaction level export data and plant-level manufacturing data, I find evidence for these predictions. The firm-level tariff absorption elasticity is 0.87 on average. All products in the sample on average fit the definition of quality differentiated goods, and the tariff absorption elasticity is indeed higher for low productivity firms (1.27) and lower for high productivity firms (0.44). Dividing all products into quality homogeneous goods and quality differentiated goods in terms of various criteria also results in estimates consistent with model predictions for quality differentiated goods.
View Full
Paper PDF
-
Local Environmental Regulation and Plant-Level Productivity
September 2010
Working Paper Number:
CES-10-30R
This paper examines the impact of environmental regulation on the productivity of manufacturing plants in the United States. Establishment-level data from three Censuses of Manufactures are used to estimate 3-factor Cobb-Douglas production functions that include a measure of the stringency of environmental regulation faced by manufacturing plants. In contrast to previous studies, this paper examines effects on plants in all manufacturing industries, not just those in 'dirty' industries. Further, this paper employs spatial-temporal variation in environmental compliance costs to identify effects, using a time-varying county-level index that is based on multiple years of establishment-level data from the Pollution Abatement Costs and Expenditures survey and the Annual Survey of Manufactures. Results suggest that, for the average manufacturing plant, the effect on productivity of being in a county with higher environmental compliance costs is relatively small and often not statistically significant. For the average plant, the main effect of environmental regulation may not be in the spatial and temporal dimensions.
View Full
Paper PDF
-
Competition and Productivity: Evidence from the Post WWII U.S. Cement Industry
September 2010
Working Paper Number:
CES-10-29
In the mid 1980s, the U.S. cement industry faced a large increase in foreign competition. Foreign cement producers began offering cement at very large discounts on U.S. prices. We show that productivity (measured by TFP) in the industry was falling during the 1960s and 1970s, but that following the increase in competition, productivity has reversed course and is growing strongly. When foreign competition was weak, productivity fell. When it was strong, productivity grew robustly. We explore the reasons for the large productivity increase. We argue that a large share of the productivity gains resulted from significant changes in management practices at plants.
View Full
Paper PDF
-
Exports, Borders, Distance, and Plant Size
June 2010
Working Paper Number:
CES-10-13
The fact that large manufacturing plants export relatively more than small plants has been at the foundation of much work in the international trade literature. We examine this fact using Census micro data on plant shipments from the Commodity Flow Survey. We show the fact is not entirely an international trade phenomenon; part of it can be accounted for by the effect of distance, distinct from any border effect. Export destinations tend to be further than domestic destinations, and large plants tend to ship further distances even to domestic locations, as compared with small plants. We develop an extension of the Melitz (2003) model and use it to set up an analysis with model interpretations of ratios between large plant and small plant shipments that can be calculated with the data. We obtain a decomposition of the overall ratio into a term that varies with distance, holding fixed the border, and a term that varies with the border, holding fixed the distance. The distance term accounts for more than half of the overall difference.
View Full
Paper PDF
-
An Alternative Theory of the Plant Size Distribution with an Application to Trade
May 2010
Working Paper Number:
CES-10-10
There is wide variation in the sizes of manufacturing plants, even within the most narrowly defined industry classifications used by statistical agencies. Standard theories attribute all such size differences to productivity differences. This paper develops an alternative theory in which industries are made up of large plants producing standardized goods and small plants making custom or specialty goods. It uses confidential Census data to estimate the parameters of the model, including estimates of plant counts in the standardized and specialty segments by industry. The estimated model fits the data relatively well compared with estimates based on standard approaches. In particular, the predictions of the model for the impacts of a surge in imports from China are consistent with what happened to U.S. manufacturing industries that experienced such a surge over the period 1997'2007. Large-scale standardized plants were decimated, while small-scale specialty plants were relatively less impacted.
View Full
Paper PDF
-
The Impact of Plant-Level Resource Reallocations and Technical Progress on U.S. Macroeconomic Growth
December 2009
Working Paper Number:
CES-09-43
We build up from the plant level an "aggregate(d) Solow residual" by estimating every U.S. manufacturing plant's contribution to the change in aggregate final demand between 1976 and 1996. We decompose these contributions into plant-level resource reallocations and plant-level technical efficiency changes. We allow for 459 different production technologies, one for each 4- digit SIC code. Our framework uses the Petrin and Levinsohn (2008) definition of aggregate productivity growth, which aggregates plant-level changes to changes in aggregate final demand in the presence of imperfect competition and other distortions and frictions. On average, we find that aggregate reallocation made a larger contribution than aggregate technical efficiency growth. Our estimates of the contribution of reallocation range from 1:7% to2:1% per year, while our estimates of the average contribution of aggregate technical efficiency growth range from 0:2% to 0:6% per year. In terms of cyclicality, the aggregate technical efficiency component has a standard deviation that is roughly 50% to 100% larger than that of aggregate total reallocation, pointing to an important role for technical efficiency in macroeconomic fluctuations. Aggregate reallocation is negative in only 3 of the 20 years of our sample, suggesting that the movement of inputs to more highly valued activities on average plays a stabilizing role in manufacturing growth.
View Full
Paper PDF
-
Plant-Level Responses to Antidumping Duties: Evidence from U.S. Manufacturers
October 2009
Working Paper Number:
CES-09-38R
This paper describes the effects of a temporary increase in tariffs on the performance and behavior of U.S. manufacturers. Using antidumping duties as an example of temporary protection, I compare the responses of protected manufacturers to those predicted by models of trade with heterogeneous firms. I find that apparent increases in revenue productivity associated with antidumping duties are primarily due to increases in prices and mark-ups, as physical productivity falls among protected plants. Moreover, antidumping duties slow the reallocation of resources from less productive to more productive uses by reducing product-switching behavior among protected plants.
View Full
Paper PDF
