We develop a dynamic model of international business-to-business transactions in which sellers and buyers search for each other, with the probability of a match depending on both individual and aggregate search effort. Fit to customs records on U.S. apparel imports, the model captures key cross-sectional and dynamic features of international buyer-seller relationships. We use the model to make several quantitative inferences. First, we calculate the search costs borne by heterogeneous importers and exporters. Second, we provide a structural interpretation for the life cycles of importers and exporters as they endogenously acquire and lose foreign business partners. Third, we pursue counterfactuals that approximate the phaseout of the Agreement on Textiles and Clothing (the 'China shock") and the IT revolution. Lower search costs can significantly improve consumer welfare, but at the expense of importer pro ts. On the other hand, an increase in the population of foreign exporters can congest matching to the extent of dampening or even reversing the gains consumers enjoy from access to extra varieties and more retailers.
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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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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.
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Firm-to-Firm Relationships and Price Rigidity Theory and Evidence
January 2017
Working Paper Number:
CES-17-33
Economists have long suspected that firm-to-firm relationships might increase price rigidity due to the use of explicit or implicit fixed-price contracts. Using transaction-level import data from the U.S. Census, I study the responsiveness of prices to exchange rate changes and show that prices are in fact substantially more responsive to these cost shocks in older versus newly formed relationships. Based on additional stylized facts about a relationship's life cycle and interviews I conducted with purchasing managers, I develop a model in which a buyer-seller pair subject to persistent, stochastic shocks to production costs shares profit risk under limited commitment. Once structurally estimated, the model replicates the empirical correlation between relationship age and the responsiveness of prices to shocks. My results suggest that changes to the average length of relationships in the economy - e.g., in a recession, when the share of young relationships declines - can influence price flexibility and hence the effectiveness of monetary policy.
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"It's Not You, It's Me": Breakup In U.S.-China Trade Relationships
February 2014
Working Paper Number:
CES-14-08
This paper uses confidential U.S. Customs data on U.S. importers and their Chinese exporters toinvestigate the frictions from changing exporting partners. High costs from switching partners can affect the efficiency of buyer-supplier matches by impeding the movement of importers from high to lower cost exporters. I test the significance of this channel using U.S. import data, which identifies firms on both sides (U.S. and foreign) of an international trade relationship, the location of the foreign supplier, and values and quantities for the universe of U.S. import transactions. Using transactions with China from 2003-2008, I find evidence suggesting that barriers to switching exporters are considerable: 45% of arm's-length importers maintain their partner from one year to the next, and one-third of all switching importers remain in the same city as their original partner. In addition, importers paying the highest prices are the most likely to change their exporting partner. Guided by these empirical regularities, I propose and structurally estimate a dynamic discrete choice model of exporter choice, embedded in a heterogeneous firm model of international trade. In the model, importing firms choose a future partner using information for each choice, but are subject to partner and location-specific costs if they decide to switch their current partner. Structural estimates of switching costs are large, and heterogeneous across industries. For the random sample of 50 industries I use, halving switching costs shrinks the fraction of importers remaining with their partner from 57% to 18%, and this improvement in match efficiency leads to a 12.5% decrease in the U.S.-China Import Price Index.
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Recall and Response: Relationship Adjustments to Adverse Information Shocks
March 2020
Working Paper Number:
CES-20-13R
How resilient are U.S. buyer-foreign supplier relationships to new information about product defects? We construct a novel dataset of U.S. consumer-product recalls sourced from foreign suppliers between 1995 and 2013. Using an event-study approach, we find that compared to control relationships, buyers that experience recalls temporarily reduce their probability of trading with the suppliers of the recalled products by 17%. The reduction is much larger for new than established buyer'supplier relationships. Buyers that experience a recall are more likely to add other suppliers to their portfolios, diversifying supplier-specific risk in the aftermath of a recall; this effect, too, is larger for buyers impacted by recalls in new relationships. There is a long lag ' up to two years ' before diversification, consistent with a high cost of establishing new relationships.
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Supersize It: The Growth of Retail Chains and the Rise of the "Big Box" Retail Format
August 2008
Working Paper Number:
CES-08-23R
This paper documents and explains the recent rise of "big-box" general merchandisers. Data from the Census of Retail Trade for 1977-2007 show that general-merchandise chains grew much faster than specialist retail chains, and that general merchandisers that added the most stores also made the biggest increases to their product offerings. We explain these facts with a stylized model in which a retailer's scale economies interact with consumer gains from one-stop shopping to generate a complementarity between a retailer's scale and scope.
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Upstream, Downstream: Diffusion and Impacts of the Universal Product Code
January 2017
Working Paper Number:
CES-17-66R
We study the adoption, diffusion, and impacts of the Universal Product Code (UPC) between 1975 and 1992, during the initial years of the barcode system. We find evidence of network effects in the diffusion process. Matched-sample difference-in-difference estimates show that firm size and trademark registrations increase following UPC adoption by manufacturers. Industry-level import penetration also increases with domestic UPC adoption. Our findings suggest that barcodes, scanning, and related technologies helped stimulate variety-enhancing product innovation and encourage the growth of international retail supply chains.
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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%.
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Multi-Product Firms and Trade Liberalization
August 2009
Working Paper Number:
CES-09-21
This paper develops a general equilibrium model of international trade that features selection across firms, products and countries. Firms' export decisions depend on a combination of firm 'productivity' and firm-product-country 'consumer tastes', both of which are stochastic and unknown prior to the payment of a sunk cost of entry. Higher-productivity firms export a wider range of products to a larger set of countries than lower-productivity firms. Trade liberalization induces endogenous reallocations of resources that foster productivity growth both within and across firms. Empirically, we find key implications of the model to be consistent with U.S. trade data.
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Entry Costs and Increasing Trade
December 2011
Working Paper Number:
CES-11-38R
Using confidential microdata from the US Census, we find that the fraction of manufacturing plants that export rose from 21% in 1987 to 39% in 2006. It has been suggested that similar trends in other countries may have been caused by declining costs of entering foreign markets. Our study tests this hypothesis for the first time. Both reduced form and structural estimation approaches find little evidence that entry costs declined significantly for US firms over this period. Despite the large literature on changes in variable costs to trade such as tariffs, our estimations represent the first analysis of how the costs of entering foreign markets have changed over time.
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