CREAT: Census Research Exploration and Analysis Tool

Papers Containing Keywords(s): 'substitute'

The following papers contain search terms that you selected. From the papers listed below, you can navigate to the PDF, the profile page for that working paper, or see all the working papers written by an author. You can also explore tags, keywords, and authors that occur frequently within these papers.
Click here to search again

Frequently Occurring Concepts within this Search

Viewing papers 1 through 10 of 11


  • Working Paper

    Accounting for Trade Patterns

    February 2024

    Working Paper Number:

    CES-24-07

    We develop a quantitative framework for decomposing trade patterns. We derive price indexes that determine comparative advantage and the aggregate cost of living. If firms and products are imperfect substitutes, we show that these price indexes depend on variety, average appeal (including quality), and the dispersion of appeal-adjusted prices. We show that they are only weakly related to standard empirical measures of average prices. We find that 40 percent of the cross-section variation in comparative advantage, and 90 percent of the time-series variation, is accounted for by variety and average appeal, with less than 10 percent attributed to average prices.
    View Full Paper PDF
  • Working Paper

    Aggregating From Micro to Macro Patterns of Trade

    February 2018

    Working Paper Number:

    CES-18-10

    We develop a new framework for aggregating from micro to macro patterns of trade. We derive price indexes that determine comparative advantage across countries and sectors and the aggregate cost of living. If firms and products are imperfect substitutes, we show that these price indexes depend on variety, average demand/quality and the dispersion of demand/quality-adjusted prices, and are only weakly related to standard empirical measures of average prices, thereby providing insight for elasticity puzzles. Of the cross-section (time-series) variation in comparative advantage, 50 (90) percent is accounted for by variety and average demand/quality, with average prices contributing less than 10 percent.
    View Full Paper PDF
  • Working Paper

    Estimating Unequal Gains across U.S. Consumers with Supplier Trade Data

    January 2018

    Working Paper Number:

    CES-18-04

    Using supplier-level trade data, we estimate the effect on consumer welfare from changes in U.S. imports both in the aggregate and for different household income groups from 1998 to 2014. To do this, we use consumer preferences which feature non-homotheticity both within sectors and across sectors. After structurally estimating the parameters of the model, using the universe of U.S. goods imports, we construct import price indexes in which a variety is defined as a foreign establishment producing an HS10 product that is exported to the United States. We find that lower income households experienced the most import price inflation, while higher income households experienced the least import price inflation during our time period. Thus, we do not find evidence that the consumption channel has mitigated the distributional effects of trade that have occurred through the nominal income channel in the United States over the past two decades.
    View Full Paper PDF
  • Working Paper

    Multinationals Offshoring, and the Decline of U.S. Manufacturing

    January 2017

    Working Paper Number:

    CES-17-22

    We provide three new stylized facts that characterize the role of multinationals in the U.S. manufacturing employment decline, using a novel microdata panel from 1993-2011 that augments U.S. Census data with firm ownership information and transaction-level trade. First, over this period, U.S. multinationals accounted for 41% of the aggregate manufacturing decline, disproportionate to their employment share in the sector. Second, U.S. multinational-owned establishments had lower employment growth rates than a narrowly-defined control group. Third, establishments that became part of a multinational experienced job losses, accompanied by increased foreign sourcing of intermediates by the parent firm. To establish whether imported intermediates are substitutes or complements for U.S. employment, we develop a model of input sourcing and show that the employment impact of foreign sourcing depends on a key elasticity of firm size to production efficiency. Structural estimation of this elasticity finds that imported intermediates substitute for U.S. employment. In general equilibrium, our estimates imply a sizable manufacturing employment decline of 13%.
    View Full Paper PDF
  • Working Paper

    THE MARGINS OF GLOBAL SOURCING: THEORY AND EVIDENCE FROM U.S. FIRMS

    December 2014

    Working Paper Number:

    CES-14-47

    This paper studies the extensive and intensive margins of firms' global sourcing decisions. We develop a quantifiable multi-country sourcing model in which heterogeneous firms self-select into importing based on their productivity and country-specific variables. The model delivers a simple closed-form solution for firm profits as a function of the countries from which a firm imports, as well as those countries' characteristics. In contrast to canonical models of exporting in which firm profits are additively separable across exporting markets, we show that global sourcing decisions naturally interact through the firm's cost function. In particular, the marginal change in profits from adding a country to the firm's set of potential sourcing locations depends on the number and characteristics of other countries in the set. Still, under plausible parametric restrictions, selection into importing features complementarity across markets and firms' sourcing strategies follow a hierarchical structure analogous to the one predicted by exporting models. Our quantitative analysis exploits these complementarities to distinguish between a country's potential as a marginal cost-reducing source of inputs and the fixed cost associated with sourcing from this country. Counterfactual exercises suggest that a shock to the potential benefits of sourcing from a country leads to significant and heterogeneous changes in sourcing across both countries and firms.
    View Full Paper PDF
  • Working Paper

    Testing for Factor Price Equality with Unobserved Differences in Factor Quality or Productivity

    September 2012

    Working Paper Number:

    CES-12-32

    We develop a method for identifying departures from relative factor price equality that is robust to unobserved variation in factor productivity. We implement this method using data on the relative wage bills of non-production and production workers across 170 local labor markets comprising the continental United States for 1972, 1992 and 2007. We find evidence of statistically significant differences in relative wages in all three years. These differences increase in magnitude over time and are related to industry structure in a manner that is consistent with neoclassical models of production.
    View Full Paper PDF
  • Working Paper

    Micro Data and the Macro Elasticity of Substitution

    March 2012

    Working Paper Number:

    CES-12-05

    We estimate the aggregate elasticity of substitution between capital and labor in the US manufacturing sector. We show that the aggregate elasticity of substitution can be expressed as a simple function of plant level structural parameters and sufficient statistics of the distribution of plant input cost shares. We then use plant level data from the Census of Manufactures to construct a local elasticity of substitution at various levels of aggregation. Our approach does not assume the existence of a stable aggregate production function, as we build up our estimate from the cross section of plants at a point in time. Accounting for substitution within and across plants, we find that the aggregate elasticity is substantially below unity at approximately 0.7. Lastly we assess the sources of the bias of aggregate technical change from 1987 to 1997. We find that the labor augmenting character of aggregate technical change is due almost exclusively to labor augmenting productivity growth at the plant level rather than relative growth in capital intensive plants.
    View Full Paper PDF
  • Working Paper

    Product Choice and Product Switching

    October 2005

    Working Paper Number:

    CES-05-22

    This paper develops a model of endogenous product selection within industries by firms. The model is motivated by new evidence we present on the prevalence and importance of product changing activity by U.S. manufacturers. Three-fifths of continuing firms alter their product mix within an industry every five years, and added and dropped products account for a substantial portion of firm output. In the model, firms make decisions about both industry entry and product choice. Product choice is shaped by the interaction of heterogeneous firm characteristics and diverse product attributes. Changes in market conditions within an industry result in simultaneous adjustment along a number of margins, including both entry/exit and product choice.
    View Full Paper PDF
  • Working Paper

    Factor Substitution In U.S. Manufacturing: Does Plant Size Matter

    April 1998

    Working Paper Number:

    CES-98-06

    We use micro data for 10,412 U.S. manufacturing plants to estimate the degrees of factor substitution by industry and by plant size. We find that (1) capital, labor, energy and materials are substitutes in production, and (2) the degrees of substitution among inputs are quite similar across plant sizes in a majority of industries. Two important implications of these findings are that (1) small plants are typically as flexible as large plants in factor substitution; consequently, economic policies such energy conservation policies that result in rising energy prices would not cause negative effects on either large or small U.S. manufacturing plants; and (2) since energy and capital are found to be substitutes; the 1973 energy crisis is unlikely to be a significant factor contributing to the post 1973 productivity slowdown. of Substitution
    View Full Paper PDF
  • Working Paper

    Capital-Energy Substitution Revisted: New Evidence From Micro Data

    April 1997

    Working Paper Number:

    CES-97-04

    We use new micro data for 11,520 plants taken from the Census Bureau=s 1991 Manufacturing Energy Consumption Survey (MECS) and 1991 Annual Survey of Manufactures (ASM) to estimate elasticities of substitution between energy and capital. We found that energy and capital are substitutes. We also found that estimates of Allen elasticities of substitution -- which have been used as a standard measure of substitution -- are sensitive to varying data sets and levels of aggregation. In contrast, estimates of Morishima elasticities of substitution -- which are theoretically superior to the Allen elasticities -- are more robust (except when two-digit level data are used). The results support the views that (i) the Morishima elasticity is a better measure of factor substitution and (ii) micro data provide more accurate elasticity estimates than those obtained from aggregate data. Our findings appear to resolve the long-standing conflict among the estimates reported in the many previous studies regarding energy-capital substitution/complementarity.
    View Full Paper PDF