We propose a dynamic general equilibrium model of exchange rate determination that accounts for all major exchange rate puzzles, including Meese-Rogoff, Backus-Smith, purchasing power parity, and uncovered interest rate parity puzzles. We build on a standard international real business cycle model with home bias in consumption, augmented with shocks in the financial market that result in a volatile near-martingale behavior of exchange rates and ensure their empirically relevant comovement with macroeconomic variables, both nominal and real. Combining financial shocks with conventional productivity and monetary shocks allows the model to reproduce the exchange rate disconnect properties without compromising the fit of the business cycle moments.
The real exchange rate (RER) measures relative price levels across countries, capturing deviations from purchasing power parity (PPP). RER is a key variable in international macroeconomic models as it is central to equilibrium conditions in both goods and asset markets. It is also one of the most starkly behaving variables empirically, tightly comoving with the nominal exchange rate and virtually uncorrelated with most other macroeconomic variables, nominal or real. This review lays out an equilibrium framework of RER determination, focusing separately on each building block and discussing corresponding empirical evidence. We emphasize home bias and incomplete pass-through into prices with expenditure switching and goods market clearing, imperfect international risk sharing, country budget constraint, and monetary policy regime. We show that RER is inherently a general equilibrium variable that depends on the full model structure and policy regime, and therefore partial theories like PPP are insufficient to explain it. We also discuss issues of stationarity and predictability of exchange rates.
We use the granular model of international trade developed in Gaubert and Itskhoki (2020) to study the rationale and implications of three types of government interventions typically targeted at large individual firms — antitrust, trade and industrial policies. We find that in antitrust regulation, governments face an incentive to be overly lenient in accepting mergers of large domestic firms, which acts akin to beggar-thy-neighbor trade policy in sectors with strong comparative advantage. In trade policy, targeting large individual foreign exporters rather than entire sectors is desirable from the point of view of a national government. Doing so minimizes the pass-through of import tariffs into domestic consumer prices, placing a greater portion of the burden on foreign producers. Finally, we show that subsidizing ‘national champions’ is generally suboptimal in closed economies as it leads to an excessive build-up of market power, but it may become unilaterally welfare improving in open economies. We contrast unilaterally optimal policies with the coordinated global optimal policy and emphasize the need for international policy cooperation in these domains.
Large firms play a pivotal role in international trade, shaping the export patterns of countries. We propose and quantify a granular multi-sector model of trade, which combines fundamental comparative advantage across sectors with granular comparative advantage embodied in outstanding individual firms. We develop an SMM-based estimation procedure, which takes full account of the general equilibrium of the model, to jointly estimate these fundamental and granular forces using French micro-data with information on firm domestic and export sales across manufacturing industries. We find that granularity accounts for about 20% of the variation in realized export intensity across sectors, and is more pronounced in the most export-intensive sectors. We then extend the model to a dynamic environment featuring both granular and fundamental shocks that jointly shape the time-series evolution of comparative advantage. We find a central role of granular forces in shaping comparative advantage reversals observed in the data.
How strong are strategic complementarities in price setting across firms? In this article, we provide a direct empirical estimate of firms’ price responses to changes in competitor prices. We develop a general theoretical framework and an empirical identification strategy, taking advantage of a new micro-level dataset for the Belgian manufacturing sector. We find strong evidence of strategic complementarities, with a typical firm adjusting its price with an elasticity of 0.4 in response to its competitors’ price changes and with an elasticity of 0.6 in response to its own cost shocks. Furthermore, we find evidence of substantial heterogeneity in these elasticities across firms. Small firms exhibit no strategic complementarities in price setting and complete cost pass-through. In contrast, large firms exhibit strong strategic complementarities, responding to both competitor price changes and their own cost shocks with roughly equal elasticities of around 0.5. We show that this pattern of heterogeneity in markup variability across firms is important for explaining the aggregate markup response to international shocks and the observed low exchange rate pass-through into domestic prices.
Is there a role for governments in emerging countries to accelerate economic development by intervening in product and factor markets? To address this question, we study optimal dynamic Ramsey policies in a standard growth model with financial frictions. The optimal policy intervention involves pro‐business policies like suppressed wages in early stages of the transition, resulting in higher entrepreneurial profits and faster wealth accumulation. This, in turn, relaxes borrowing constraints in the future, leading to higher labor productivity and wages. In the long run, optimal policy reverses sign and becomes pro‐worker. In a multi‐sector extension, optimal policy subsidizes sectors with a latent comparative advantage and, under certain circumstances, involves a depreciated real exchange rate. Our results provide an efficiency rationale, but also identify caveats, for many of the development policies actively pursued by dynamic emerging economies.
with Omar Barbiero, Emmanuel Farhi and Gita Gopinath
We analyze the dynamic macroeconomic effects of border adjustment taxes (BAT), both when they are a feature of corporate tax reform (C-BAT) and for the case of value-added tax (VAT). Our analysis arrives at the following main conclusions. First, C-BAT is unlikely to be neutral at the macroeconomic level, as the conditions required for neutrality are unrealistic. The basis for neutrality of VAT is even weaker. Second, in response to the introduction of an unanticipated permanent C-BAT of 20% in the United States, the dollar appreciates strongly, by almost the size of the tax adjustment, and US exports and imports decline significantly, while the overall effect on output is small. Third, an equivalent change in VAT, in contrast to the C-BAT effect, generates only a weak appreciation of the dollar and a small decline in imports and exports, but has a large negative effect on output. Last, border taxes increase government revenues in periods of trade deficit; however, given the net foreign asset position of the United States, they result in a long-run loss of government revenues and an immediate net transfer to the rest of the world.
with Pol Antràs and Alonso de Gortari
This paper studies the welfare implications of trade opening in a world in which trade raises aggregate income but also increases income inequality, and in which redistribution needs to occur via a distortionary income tax-transfer system. We provide tools to characterize and quantify the effects of trade opening on the distribution of disposable income (after redistribution). We propose two adjustments to standard measures of the welfare gains from trade: a ‘welfarist’ correction inspired by the Atkinson (1970) index of inequality, and a ‘costly-redistribution’ correction capturing the efficiency costs associated with the behavioral responses of agents to trade-induced shifts across marginal tax rates. We calibrate our model to the United States over the period 1979–2007 using data on the distribution of adjusted gross income in public samples of IRS tax returns, as well as CBO information on the tax liabilities and transfers received by agents at different percentiles of the U.S. income distribution. Our quantitative results suggest that both corrections are nonnegligible: trade-induced increases in inequality of disposable income erode about 20% of the gains from trade, while the gains from trade would be about 15% larger if redistribution was carried out via non-distortionary means.
While neoclassical theory emphasizes the impact of trade on wage inequality between occupations and sectors, more recent theories of firm heterogeneity point to the impact of trade on wage dispersion within occupations and sectors. Using linked employer–employee data for Brazil, we show that much of overall wage inequality arises within sector–occupations and for workers with similar observable characteristics; this within component is driven by wage dispersion between firms; and wage dispersion between firms is related to firm employment size and trade participation. We then extend the heterogenous-firm model of trade and inequality from Helpman et al. (2010) and estimate it with Brazilian data. We show that the estimated model provides a close approximation to the observed distribution of wages and employment. We use the estimated model to undertake counterfactuals, in which we find sizable effects of trade on wage inequality.
Large exporters are simultaneously large importers. We show that this pattern is key to understanding low aggregate exchange rate pass-through as well as the variation in pass-through across exporters. We develop a theoretical framework with variable markups and imported inputs, which predicts that firms with high import shares and high market shares have low exchange rate pass-through. We test and quantify the theoretical mechanism using Belgian firm-product-level data on imports and exports. Small nonimporting firms have nearly complete pass-through, while large import-intensive exporters have pass-through around 50 percent, with the marginal cost and markup channels contributing roughly equally.
We show that even when the exchange rate cannot be devalued, a small set of conventional fiscal instruments can robustly replicate the real allocations attained under a nominal exchange rate devaluation in a dynamic New Keynesian open economy environment. We perform the analysis under alternative pricing assumptions—producer or local currency pricing, along with nominal wage stickiness; under arbitrary degrees of asset market completeness and for general stochastic sequences of devaluations. There are two types of fiscal policies equivalent to an exchange rate devaluation—one, a uniform increase in import tariff and export subsidy, and two, a value-added tax increase and a uniform payroll tax reduction. When the devaluations are anticipated, these policies need to be supplemented with a consumption tax reduction and an income tax increase. These policies are revenue neutral. In certain cases equivalence requires, in addition, a partial default on foreign bond holders. We discuss the issues of implementation of these policies, in particular, under the circumstances of a currency union.
with Gita Gopinath and Brent Neiman
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The paper documents the behavior of trade prices during the Great Trade Collapse of 2008–09 using transaction-level data from the U.S. Bureau of Labor Statistics. First, the paper finds that differentiated manufactures exhibited marked stability in their trade prices during the large decline in their trade volumes. Prices of nondifferentiated manufactures, by contrast, declined sharply. Second, while the trade collapse was much steeper among differentiated durable manufacturers than among nondurables, prices in both categories barely changed. Third, the frequency and magnitude of price adjustments at the product level changed with the onset of the crisis, consistent with a state-dependent view of price adjustment. The quantitative magnitudes of the changes, however, were not pronounced enough to affect aggregate prices. The paper’s findings present a challenge for theories of the trade collapse based on cost shocks specific to traded goods that work through prices.
This paper develops a new framework for examining the determinants of wage distributions that emphasizes within-industry reallocation, labor market frictions, and differences in workforce composition across firms. More productive firms pay higher wages and exporting increases the wage paid by a firm with a given productivity. The opening of trade enhances wage inequality and can either raise or reduce unemployment. While wage inequality is higher in a trade equilibrium than in autarky, gradual trade liberalization first increases and later decreases inequality.
with Elhanan Helpman
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We study a two-country, two-sector model of international trade in which one sector produces homogeneous products and the other produces differentiated products. Both sectors are subjected to search and matching frictions in the labour market and wage bargaining. As a result, some of the workers searching for jobs end up being unemployed. Countries are similar except for frictions in their labour markets, such as efficiency of matching and costs of posting vacancies, which can vary across the sectors. The differentiated-product industry has firm heterogeneity and monopolistic competition. We study the interaction of labour market rigidities and trade impediments in shaping welfare, trade flows, productivity, and unemployment. We show that both countries gain from trade. A country with relatively lower frictions in the differentiated-product industry exports differentiated products on net. A country benefits from lowering frictions in its differentiated sector’s labour market, but this harms the country’s trade partner. Alternatively, a simultaneous, proportional lowering of labour market frictions in the differentiated sectors of both countries benefits both of them. The opening to trade raises a country’s rate of unemployment if its relative labour market frictions in the differentiated sector are low, and it reduces the rate of unemployment if its relative labour market frictions in the differentiated sector are high. Cross-country differences in rates of unemployment exhibit rich patterns. In particular, lower labour market frictions do not ensure lower unemployment, and unemployment and welfare can both rise in response to falling labour market frictions and falling trade costs.
with Gita Gopinath
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We empirically document, using U.S. import prices, that on average goods with a high frequency of price adjustment have a long-run pass-through that is at least twice as high as that of low-frequency adjusters. We show theoretically that this relationship should follow because variable mark-ups that reduce longrun pass-through also reduce the curvature of the profit function when expressed as a function of cost shocks, making the firm less willing to adjust its price. We quantitatively evaluate a dynamic menu-cost model and show that the variable mark-up channel can generate significant variation in frequency, equivalent to 37% of the observed variation in the data. On the other hand, the standard workhorse model with constant elasticity of demand and Calvo or state-dependent pricing has difficulty matching the facts.
with Gita Gopinath and Roberto Rigobon
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We show, using novel data on currency and prices for US imports, that even conditional on a price change, there is a large difference in the exchange rate pass-through of the average good priced in dollars (25 percent) versus nondollars (95 percent). We document this to be the case across countries and within disaggregated sectors. This finding contradicts the assumption in an important class of models that the currency of pricing is exogenous. We present a model of endogenous currency choice in a dynamic price setting environment and show that the predictions of the model are strongly supported by the data.