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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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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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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Two-sided Search in International Markets
January 2022
Working Paper Number:
CES-22-02
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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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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INTERNATIONAL PATENTING STRATEGIES WITH HETEROGENEOUS FIRMS
September 2014
Working Paper Number:
CES-14-28
This paper analyzes how firms decide where to patent in a heterogeneous firm model of trade with endogenous rival entry. In the model, innovating firms compete with rival firms on price, where rivals force the innovating firm to reduce markups and lower the innovating firm's probability of obtaining monopolistic profits. Patenting allows the innovating firm to reduce the number of rival rms by increasing their fixed overhead costs, thereby providing higher expected profits and increased markups from reduced competition. Countries with higher states of technology, more competition and better patent protection have a greater proportion of entrants who patent. Industries tend to follow a U-shaped pattern of patenting where industries with high heterogeneity in production and low substitution, along with industries with low heterogeneity in production and high substitution patent more frequently. Using a generalized framework of the model, I estimate market-based measures of country-level patent protection, which when compared with other IP indices, suggests that not enough international patenting is taking place. Finally, I test the predictions of the model using a newly available technology-to-industry concordance on bilateral patent flows and show that firms are increasingly sensitive to foreign IP protection. Countries that choose to maximize their IP protection can increase the number of foreign patents by almost 10%.
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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.
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MANAGING TRADE: EVIDENCE FROM CHINA AND THE US
May 2019
Working Paper Number:
CES-19-15
We present a heterogeneous-firm model in which management ability increases both production efficiency and product quality. Combining six micro-datasets on management practices, production and trade in Chinese and American firms, we find broad support for the model's predictions. First, better managed firms are more likely to export, sell more products to more destination countries, and earn higher export revenues and profits. Second, better managed exporters have higher prices, higher quality, and lower quality-adjusted prices. Finally, they also use a wider range of inputs, higher quality and more expensive inputs, and imported inputs from more advanced countries. The structural estimates indicate that management is important for improving production efficiency and product quality in both countries, but it matters more in China than in the US, especially for product quality. Panel analysis for the US and a randomized control trial in India suggest that management exerts causal effects on product quality, production efficiency, and exports. Poor management practices may thus hinder trade and growth, especially in developing countries.
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Product Quality and Firm Heterogeneity in International Trade
March 2013
Working Paper Number:
CES-13-08
I develop and implement a methodology for obtaining plant-level estimates of product quality from revenue and physical output data. Intuitively, firms that sell large quantities of output conditional on price are classified as high quality producers. I use this method to decompose cross-plant variation in price and export status into a quality and an efficiency margin. The empirical results show that prices are increasing in quality and decreasing in efficiency. However, selection into exporting is driven mainly by quality. The finding that changes in quality and efficiency have different impact on the firm's export decision is shown to be inconsistent with the traditional iceberg trade cost formulation and points to the importance of per unit transport costs.
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Export Prices of U.S. Firms
December 2011
Working Paper Number:
CES-11-42
Using confidential firm-level data from the United States in 2002, we show that exporting firms charge prices for narrowly defined goods that differ substantially with the characteristics of firms and export markets. We control for selection into export markets using a three-stage estimator. We have three main results. First, we find that that highly productive and skill intensive firms charge higher prices, while capital-intensive firms charge lower prices. Second, the very large correlation between distance and export prices found by Baldwin and Harrigan (2011) is largely due to a composition effect. Third, U.S. firms charge slightly higher prices to larger and richer markets, and substantially higher prices to markets other than Canada and Mexico.
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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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