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.
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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.
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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.
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Firms in International Trade
April 2007
Working Paper Number:
CES-07-14
Standard models of international trade devote little attention to firms. Yet of the 5.5 million firms operating in the United States in 2000, just 4 percent engaged in exporting, and the top 10 percent of these exporting firms accounted for 96 percent of U.S. exports. Since the mid 1990s, a large number of empirical studies have provided a wealth of information about the important role that firms play in mediating countries' imports and exports. This research, based on micro datasets that track countries' production and trade at the firm level, demonstrates that trading firms differ substantially from firms that solely serve the domestic market. Across a wide range of countries and industries, exporters have been shown to be larger, more productive, more skill- and capital-intensive, and to pay higher wages than non-trading firms.2 Furthermore, these differences exist even before exporting begins. The ex ante 'superiority' of exporters suggests self-selection: exporters are more productive, not as a result of exporting, but because only the most productive firms are able to overcome the costs of entering export markets. It is precisely this sort of microeconomic heterogeneity that grants firms the ability to influence macroeconomic outcomes. When trade policy barriers fall or transportation costs decline, high-productivity exporting firms survive and grow while lower-productivity non-exporting firms are more likely to fail. This reallocation of economic activity across firms raises aggregate productivity and provides a new source of welfare gains from trade. Confronting the challenges posed by the analysis of micro data has shifted the focus of the international trade field from countries and industries towards firms and products. We highlight these challenges with a detailed analysis of how trading firms differ from non-trading firms in the United States. We show how these differences serve as the foundation of a series of recent heterogeneous-firm models that offer new insights into the causes and consequences of international trade. We then introduce a new set of stylized facts that emerge from analysis of recently available U.S. customs data. These transaction-level trade data track all of the products imported and exported by the U.S. firms to all of its trading partners from 1992 to 2000. They show that the extensive margins of trade ' that is, the number of products firms trade as well as the number of countries they trade with ' are central to understanding the well-known role of distance in dampening aggregate trade flows. We conclude with suggestions for further theoretical and empirical research.
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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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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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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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The Great Recession and a Missing Generation of Exporters
August 2018
Working Paper Number:
CES-18-33
The collapse of international trade surrounding the Great Recession has garnered significant attention. This paper studies firm entry and exit in foreign markets and their role in the post-recession recovery of U.S. exports using confidential microdata from the U.S. Census Bureau. We find that incumbent exporters account for the vast majority of the decline in export volumes during the crisis. The recession also induced a missing generation of exporters, with large increases in exits and a substantial decline in entries into foreign markets. New exporters during these years tended to have larger export volumes, however, compensating for the decline in the number of exporting firms. Thus, while entry and exit were important for determining the variety of U.S. goods that were exported, they were less important for the trajectory of aggregate foreign sales.
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Re-engineering Key National Economic Indicators
July 2019
Working Paper Number:
CES-19-22
Traditional methods of collecting data from businesses and households face increasing challenges. These include declining response rates to surveys, increasing costs to traditional modes of data collection, and the difficulty of keeping pace with rapid changes in the economy. The digitization of virtually all market transactions offers the potential for re-engineering key national economic indicators. The challenge for the statistical system is how to operate in this data-rich environment. This paper focuses on the opportunities for collecting item-level data at the source and constructing key indicators using measurement methods consistent with such a data infrastructure. Ubiquitous digitization of transactions allows price and quantity be collected or aggregated simultaneously at the source. This new architecture for economic statistics creates challenges arising from the rapid change in items sold. The paper explores some recently proposed techniques for estimating price and quantity indices in large scale item-level data. Although those methods display tremendous promise, substantially more research is necessary before they will be ready to serve as the basis for the official economic statistics. Finally, the paper addresses implications for building national statistics from transactions for data collection and for the capabilities and organization of the statistical agencies in the 21st century.
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The Margins of U.S. Trade (Long Version)
August 2009
Working Paper Number:
CES-09-18
Recent research in international trade emphasizes the importance of firms extensive margins for understanding overall patterns of trade as well as how firms respond to specific events such as trade liberalization. In this paper, we use detailed U.S. trade statistics to provide a broad overview of how the margins of trade contribute to variation in U.S. imports and exports across trading partners, types of trade (i.e., arm's-length versus related-party) and both short and long time horizons. Among other results, we highlight the differential behavior of related-party and arm's-length trade in response to the 1997 Asian financial crisis.
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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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