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Firm Heterogeneity, Misallocation, and Trade
May 2025
Working Paper Number:
CES-25-33
To what extent do domestic distortions influence the gains from trade? Using data from Chinese manufacturing surveys and U.S. census records, I document two novel stylized facts: (1) Larger producers in China exhibit lower revenue productivity, whereas larger producers in the U.S. exhibit higher revenue productivity. (2) Larger exporters in China exhibit lower export intensity, whereas larger exporters in the U.S. exhibit higher export intensity. A model of heterogeneous producers shows that only the U.S. patterns are consistent with an efficient allocation. To reconcile the observed patterns in China, I introduce producer- and destination-specific subsidies and estimate the model without imposing functional form assumptions on the joint distribution of productivity and subsidy rates. Accounting for distortions in China leads to substantially smaller estimated gains from trade.
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Multi-Market Contact in International Trade; Evidence from U.S. Battery Exporters
May 2025
Working Paper Number:
CES-25-32
When competitors compete in more than one market they are said to have multi-market contact (MMC). Firms with MMC are more likely collude to avoid cross-market retaliation. This paper investigates the impact of MMC among U.S. battery exporters on the prices they set in foreign markets using confidential export transaction data provided by the U.S. Census Bureau. The ability of firms to exploit MMC for collusive gain in international markets can be both detrimental to import-dependent consumers and harder for anti-trust authorities to detect. Motivated by litigation finding evidence of collusive behavior by multi-national battery manufacturers, MMC has an upward effect on export prices set by U.S. battery exporters. These results are robust across different panel regression specifications using different measures of MMC.
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Exploring the Hiring, Pay, and Trading Patterns of U.S. Firms: The Dominance of Multinationals Engaged in Related-Party Trade
December 2024
Working Paper Number:
CES-24-77
We link U.S. job records with both firm-level business register and customs records to construct a novel set of summary statistics and descriptive regressions that highlight the central role played by the small set of multinational firms (denoted RP XM firms) who engage in both importing and exporting with related parties in translating international trade shocks to shifts in labor demand. We find that RP XM firms 1) dominate trade volumes; 2) account for very disproportionate shares of national employment and payroll; 3) employ greater shares of workers in higher pay deciles; 4) disproportionately poach other firms' high paid workers; 5) offer higher raises to their existing workers. These hiring and pay patterns generally exist even among new RP XM firms, but strengthen with RP XM tenure, and continue to hold, albeit at smaller magnitudes, after conditioning on standard proxies for firm and worker productivity. Taken together, these findings reveal that RP XM status is a reliable proxy for the kind of firm that drives the initial labor market impacts of trade shocks, and that high paid workers are likely to be most directly exposed to such shocks.
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Aggregation Bias in the Measurement of U.S. Global Value Chains
September 2024
Working Paper Number:
CES-24-49
This paper measures global value chain (GVC) activity, defined as imported content of exports, of U.S. manufacturing plants between 2002 and 2012. We assesses the extent of aggregation bias that arises from relying on industry-level exports, imports, and output to establish three results. First, GVC activity based on industry-level data underestimate the actual degree of GVC engagement by ignoring potential correlations between import and export activities across plants within industries. Second, the bias grew over the sample period. Finally, unlike with industry-level measures, we find little slowdown in GVC integration by U.S. manufacturers.
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U.S. Market Concentration and Import Competition
August 2022
Working Paper Number:
CES-22-34
Many studies have documented that market concentration has risen among U.S. firms in recent decades. In this paper, we show that this rise in concentration was accompanied by tougher product market competition due to the entry of foreign competitors. Using confidential census data covering the universe of all firm sales in the U.S. manufacturing sector, we find that rising import competition increased concentration among U.S. firms by reallocating sales from smaller to larger U.S. firms and by causing firm exit. However, this increase in concentration was counteracted by the expansion of foreign firms, which reduced domestic firms' share of the U.S. market inclusive of foreign firms' sales. We find that once the sales of foreign exporters are taken into account, U.S. marketconcentration in manufacturing was stable between 1992 and 2012.
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A Long View of Employment Growth and Firm Dynamics in the United States: Importers vs. Exporters vs. Non-Traders
December 2021
Working Paper Number:
CES-21-38
The first experimental product from the U.S. Census Bureau's Business Dynamics Statistics (BDS) program -- BDS-Goods Traders -- provides annual, public-use measures of business dynamics by four mutually exclusive goods-trading classifications: exporter only, importer only, exporter and importer, and non-trader. The BDS-Goods Traders offers a comprehensive view of employment growth at firms associated with goods trading activities in the United States from 1992-2019. We highlight three patterns. First, employment is skewed towards goods traders in several ways. Only 6% of all U.S. firms are goods traders but they account for half of total employment. Moreover, 80% of large firms and 70% of older firms are goods traders. Second, exporter-importer firms represent 70% of manufacturing employment and over half of employment in services-producing industries (management, retail, transportation, utilities, and wholesale). Third, goods-traders exhibit higher net job creation rates than non-traders controlling for firm size, age, and sector. Goods traders contribution to total job creation grows over time, rising to more than half after 2008.
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A Search and Learning Model of Export Dynamics
August 2021
Working Paper Number:
CES-21-17
Exporting abroad is much harder than selling at home, and overcoming hurdles to exporting takes time. Our goal is to identify specific barriers to exporting and to measure their importance. We develop a model of firm-level export dynamics that features costly customer search, network effects in finding buyers, and learning about product appeal. Fitting the model to customs records of U.S. imports of manufactures from Colombia we replicate patterns of exporter maturation. A potentially valuable intangible asset of a firm is its customer base and knowledge of a market. Our model delivers some striking estimates of what such assets are worth. Averaging across active exporters, the loss from total market amnesia (losing its current U.S. customer base along with its accumulated knowledge of product appeal) is US$ 3.4 million, about 34 percent of the value of exporting overall. About half is the loss of future sales to existing customers while the rest is the cost of relearning its appeal in the market and reestablishing visibility as an exporter. Given the importance of search, learning, and visibility, the 5-year response of total export sales to an exchange rate shock exceeds the 1-year response by about 40 percent.
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Identifying U.S. Merchandise Traders: Integrating Customs Transactions with Business Administrative Data
September 2020
Working Paper Number:
CES-20-28
This paper describes the construction of the Longitudinal Firm Trade Transactions Database (LFTTD) enabling the identification of merchandise traders - exporters and importers - in the U.S. Census Bureau's Business Register (BR). The LFTTD links merchandise export and import transactions from customs declaration forms to the BR beginning in 1992 through the present. We employ a combination of deterministic and probabilistic matching algorithms to assign a unique firm identifier in the BR to a merchandise export or import transaction record. On average, we match 89 percent of export and import values to a firm identifier. In 1992, we match 79 (88) percent of export (import) value; in 2017, we match 92 (96) percent of export (import) value. Trade transactions in year t are matched to years between 1976 and t+1 of the BR. On average, 94 percent of the trade value matches to a firm in year t of the BR. The LFTTD provides the most comprehensive identification of and the foundation for the analysis of goods trading firms in the U.S. economy.
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Are Customs Records Consistent Across Countries? Evidence from the U.S. and Colombia
March 2020
Working Paper Number:
CES-20-11
In many countries, official customs records include identifying information on the exporting and importing firms involved in each shipment. This information allows researchers to study international business networks, offshoring patterns, and the micro-foundations of aggregate trade flows. It also provides the government with a basis for tariff assessments at the border. However, there are no mechanisms in place to ensure that the shipment-level information recorded by the exporting country is consistent with the shipment-level information recorded by the importing country. And to the extent that there are discrepancies, it is not clear how prevalent they are or what form they take. In this paper we explore these issues, both to enhance our understanding of the limitations of customs records, and to inform future discussions of possible revisions in the way they are collected.
Specifically, we match U.S.-bound export shipments that appear in Colombian Customs records (DIAN) with their counterparts in the US Customs records (LFTTD): U.S. import shipments from Colombia. Several patterns emerge. First, differences in the coverage of the two countries customs records lead to significant discrepancies in the official bilateral trade flow statistics of these two countries: the DIAN database records 8 percent fewer transactions than the LFTTD database over the sample period, and the average export shipment size in the DIAN is roughly 4 percent smaller than the corresponding import shipment size in the LFTTD. These discrepancies are not due to difference in minimum shipment sizes and they are not particular to a few sectors, though they are more common among small shipments and they evolve over time.
Second, if we rely exclusively on firms' names and addresses, ignoring other shipment characteristics (value, product code, etc.), we are able to match 85 percent of the value of U.S. imports from Colombia in our LFTTD sample with particular Colombian suppliers in the DIAN. Further, fully 97 percent of the value of Colombian exports to the U.S. can be mapped onto particular importers in the U.S. LFTTD.
Third, however, match rates at the shipment level within buyer-seller pairs are low. That is, while buyers and sellers can be paired up fairly accurately, only 25-30 percent of the individual transactions in the customs records of the two countries can be matched using fuzzy algorithms at reasonable tolerance levels.
Fourth, the manufacturer ID (MANUF_ID) that appears in the LFTTD implies there are roughly twice as many Colombian exporters as actually appear in the DIAN. And similar comments apply to an analogous MANUF_ID variable constructed from importer name and address information in the DIAN. Hence studies that treat each MANUF_ID value as a distinct firm are almost surely overstating the number of foreign firms that engage in trade with the U.S. by a substantial amount.
Finally, we conclude that if countries were to require that exporters report standardized shipment identifiers'either invoice numbers or bill of lading/air waybill numbers'it would be far easier to track individual transactions and to identify international discrepancies in reporting.
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Rising Import Tariffs, Falling Export Growth: When Modern Supply Chains Meet Old-Style Protectionism
January 2020
Working Paper Number:
CES-20-01
We examine the impacts of the 2018-2019 U.S. import tariff increases on U.S. export growth through the lens of supply chain linkages. Using 2016 confidential firm-trade linked data, we document the implied incidence and scope of new import tariffs. Firms that eventually faced tariff increases on their imports accounted for 84% of all exports and represented 65% of manufacturing employment. For all affected firms, the implied cost is $900 per worker in new duties. To estimate the effect on U.S. export growth, we construct product-level measures of import tariff exposure of U.S. exports from the underlying firm micro data. More exposed products experienced 2 percentage point lower growth relative to products with no exposure. The decline in exports is equivalent to an ad valorem tariff on U.S. exports of almost 2% for the typical product and almost 4% for products with higher than average exposure.
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