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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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.
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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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Who's Most Exposed to International Shocks? Estimating Differences in Import Price Sensitivity across U.S. Demographic Groups
March 2023
Working Paper Number:
CES-23-13R
Differences in consumption patterns across demographic groups mean that international price shocks differentially affect such groups. We construct import price indexes for U.S. households that vary by age, race, marital status, education, and urban status. Black households and urban households experienced significantly higher import price inflation from 1996-2018 compared to other groups, such as white households and rural households. Sensitivity to international price shocks varies widely, implying movements in exchange rates and foreign prices, both during our sample and during the Covid-19 pandemic, drove sizable differences in import price inflation ' and total inflation ' across households.
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Global Sourcing and Multinational Activity: A Unified Approach
September 2022
Working Paper Number:
CES-22-36
Multinational firms (MNEs) accounted for 42 percent of US manufacturing employment, 87 percent of US imports, and 84 of US exports in 2007. Despite their disproportionate share of global trade, MNEs' input sourcing and final-good production decisions are often studied separately. Using newly merged data on firms' trade and FDI activity by country, we show that US MNEs are more likely to import not only from the countries in which they have affiliates, but also from other countries within their affiliates' region. We rationalize these patterns in a unified framework in which firms jointly determine the countries in which to produce final goods, and the countries from which to source inputs. The model generates a new source of scale economies that arises because a firm incurs a country specific fixed cost that allows all its assembly plants to source inputs from that country. This shared fixed cost across plants creates interdependencies between firms' assembly and sourcing locations, and leads to non-monotonic responses in third markets to bilateral trade cost changes.
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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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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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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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Firms' Exporting Behavior under Quality Constraints
May 2009
Working Paper Number:
CES-09-13
We develop a model of international trade with export quality requirements and two dimensions of firm heterogeneity. In addition to "productivity", firms are also heterogeneous in their "caliber" {the ability to produce quality using fewer fixed inputs. Compared to singleattribute models of firm heterogeneity emphasizing either productivity or the ability to produce quality, our model provides a more nuanced characterization of firms' exporting behavior. In particular, it explains the empirical fact that firm size is not monotonically related with export status: there are small firms that export and large firms that only operate in the domestic market. The model also delivers novel testable predictions. Conditional on size, exporters are predicted to sell products of higher quality and at higher prices, pay higher wages and use capital more intensively. These predictions, although apparently intuitive, cannot be derived from singleattribute models of firm heterogeneity as they imply no variation in export status after size is controlled for. We find strong support for the predictions of our model in manufacturing establishment datasets for India, the U.S., Chile, and Colombia.
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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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Quality Adjustment at Scale: Hedonic vs. Exact Demand-Based Price Indices
June 2023
Working Paper Number:
CES-23-26
This paper explores alternative methods for adjusting price indices for quality change at scale. These methods can be applied to large-scale item-level transactions data that in cludes information on prices, quantities, and item attributes. The hedonic methods can take into account the changing valuations of both observable and unobservable charac teristics in the presence of product turnover. The paper also considers demand-based approaches that take into account changing product quality from product turnover and changing appeal of continuing products. The paper provides evidence of substantial quality-adjustment in prices for a wide range of goods, including both high-tech consumer products and food products.
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