This chapter focuses on the estimation and interpretation of gravity equations for bilateral trade. This necessarily involves a careful consideration of the theoretical underpinnings since it has become clear that naive approaches to estimation lead to biased and frequently misinterpreted results. There are now several theory-consistent estimation methods and we argue against sole reliance on any one method and instead advocate a toolkit approach. One estimator may be preferred for certain types of data or research questions but more often the methods should be used in concert to establish robustness. In recent years, estimation has become just a first step before a deeper analysis of the implications of the results, notably in terms of welfare. We try to facilitate diffusion of best-practice methods by illustrating their application in a step-by-step cookbook mode of exposition.

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Gravity Equations: Workhorse,Toolkit, and Cookbook

Micro-level data have had a profound influence on research in inter national trade over the last ten years. In many regards, this research agenda has been very successful. New stylized facts have been uncovered and new trade models have been developed to explain these facts. In this paper we investigate to what extent answers to new micro-level questions have affected answers to an old and central question in the field: how large are the welfare gains from trade? A crude summary of our results is: “So far, not much.” (JEL

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New Trade Models, Same Old Gains?

This chapter discusses how applied researchers in corporate finance can address endogeneity concerns. We begin by reviewing the sources of endogeneity—omitted variables, simultaneity, and measurement error—and their implications for inference. We then discuss in detail a number of econometric techniques aimed at addressing endogeneity problems, including instrumental variables, difference-in-differences estimators, regression discontinuity design, matching methods, panel data methods, and higher order moments estimators. The unifying themes of our discussion are the emphasis on intuition and the applications to corporate finance.

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Endogeneity in Empirical Corporate Finance1

This paper estimates the productivity gains from reducing tariffs on final goods and from reducing tariffs on intermediate inputs. Lower output tariffs can increase productivity by inducing tougher import competition, whereas cheaper imported inputs can raise productivity via learning, variety, and quality effects. We use Indonesian manufacturing census data from 1991 to 2001, which include plant-level information on imported inputs. The results show that a 10 percentage point fall in input tariffs leads to a productivity gain of 12 percent for firms that import their inputs, at least twice as high as any gains from reducing output tariffs. (JEL F12, F13, L16, O14, O19, O24)

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Trade Liberalization, Intermediate Inputs and Productivity: Evidence from Indonesia ∗

Using individual-level data on homeowner debt and defaults from 1997 to 2008, we show that borrowing against the increase in home equity by existing homeowners is responsible for a significant fraction of both the rise in U.S. household leverage from 2002 to 2006 and the increase in defaults from 2006 to 2008. Employing land topology-based housing supply elasticity as an instrument for house price growth, we estimate that the average homeowner extracts 25 cents for every dollar increase in home equity. Home equity-based borrowing is stronger for younger households, households with low credit scores, and households with high initial credit card utilization rates. Money extracted from increased home equity is not used to purchase new real estate or pay down high credit card balances, which suggests that borrowed funds may be used for real outlays. Lower credit quality households living in high house price appreciation areas experience a relative decline in default rates from 2002 to 2006 as they borrow heavily against their home equity, but experience very high default rates from 2006 to 2008. Our conservative estimates suggest that home equity-based borrowing added $1.25 trillion in household debt, and accounts for at least 39% of new defaults from 2006 to 2008.

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House Prices, Home Equity-Based Borrowing, and the U.S. Household Leverage Crisis

In this paper, I build a dynamic model of trade with heterogeneous …rms which extends the work of Melitz (2003). As countries open up to trade, they will experience a productivity overshooting. Aggregate productivity increases in the long run, but it increases even more so in the short run. When trade opens up, there are too many …rms, inherited from the autarky era. The most productive foreign …rms enter the domestic market. Competition is …erce. The least productive …rms that are no more pro…table are forced to stop production. Not only do the most productive …rms increase their size because they export, but the least productive …rms stop producing altogether. Aggregate productivity soars. As time goes by, …rms start to exit because of age. Competition softens. Some less productive …rms resume production. This pulls down aggregate productivity. The slower the exit of …rms, the larger this overshooting phenomenon. This model also predicts that the price compression that accompanies trade opening may be dampened in the long run. It also predicts that inequalities should increase at the time when a country opens up to trade, and then gradually recede in the long run.

Productivity Overshooting: The Dynamic Impact of Trade Opening with Heterogeneous Firms

We analyze a large data set of commercial records produced by Assyrian merchants in the nineteenth century BCE. Using the information from these records, we estimate a structural gravity model of long-distance trade in the Bronze Age. We use our structural gravity model to locate lost ancient cities. In many cases, our estimates confirm the conjectures of historians who follow different methodologies. In some instances, our estimates confirm one conjecture against others. We also structurally estimate ancient city sizes and offer evidence in support of the hypothesis that large cities tend to emerge at the intersections of natural transport routes, as dictated by topography. Finally, we document persistent patterns in the distribution of city sizes across four millennia, find a distance elasticity of trade in the Bronze Age close to modern estimates, and show suggestive evidence that the distribution of ancient city sizes, inferred from trade data, is well approximated by Zipf’s law.

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Trade, Merchants, and the Lost Cities of the Bronze Age

This paper extends the Mussa and Rosen (1978) model of quality-pricing under perfect competition. Exporters sell goods of different qualities to consumers who have heterogeneous preferences for quality. Production is subject to decreasing returns to scale and, therefore, supply and the toughness of competition react to cost changes brought about by exchange rate fluctuations. First, we predict that exchange rate shocks are imperfectly passed through into prices. Second, prices of low quality goods are more sensitive to exchange rate shocks than prices of high quality goods. Third, in response to an exchange rate appreciation, the composition of exports shifts towards higher quality and more expensive goods.> ; We test these predictions using highly disaggregated price and quantity U.S. import data. We find evidence that in response to an exchange rate appreciation, the composition of exports shifts towards high unit price goods. Therefore, exchange rate passthrough rates that are measured using aggregate data will tend to overstate the actual extent of pass-through.

Exchange rate pass-through in a competitive model of pricing-to-market

We use 130 years of data on historical migrations to the United States to show a causal effect of the ancestry composition of US counties on foreign direct investment (FDI) sent and received by local firms. To isolate the causal effect of ancestry on FDI, we build a simple reduced-form model of migrations: migrations from a foreign country to a US county at a given time depend on (i) a push factor, causing emigration from that foreign country to the entire United States, and (ii) a pull factor, causing immigration from all origins into that US county. The interaction between time-series variation in country-specific push factors and county-specific pull factors generates quasi-random variation in the allocation of migrants across US counties. We find that a doubling of the number of residents with ancestry from a given foreign country relative to the mean increases by 4.2 percentage points the probability that at least one local firm invests in that country, and increases by 31% the number of employees at domestic recipients of FDI from that country. The size of these effects increases with the ethnic diversity of the local population, the geographic distance to the origin country, and the ethno-linguistic fractionalization of the origin country.

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Migrants, Ancestors, and Investments

I build a simple dynamic model of the formation of an international social network of importers and exporters. Firms can only export into markets in which they have a contact. They acquire new contacts both at random, and via their network of existing contacts. This model explains (i) the cross-sectional distribution of the number of foreign markets accessed by individual exporters, (ii) the cross-sectional geographic distribution of foreign contacts, and (iii) the dynamics of firm level exports. I show that the firm level dynamics of trade can explain the observed cross section of firm level exports. All theoretical predictions are supported by the data.

Thomas Chaney

Papers

Productivity Overshooting: The Dynamic Impact of Trade Opening with Heterogeneous Firms

Trade, Merchants, and the Lost Cities of the Bronze Age

Exchange rate pass-through in a competitive model of pricing-to-market

Migrants, Ancestors, and Investments

The Network Structure of International Trade