Is the United States a Large Country in World Trade? Christopher S. P. Magee1 Stephen P. Magee2 Abstract The United States is typically seen as a large country in world trade, one that is able to influence world prices through its trade policy, but this perception has almost never been tested directly. We examine data on world output and trade flows and find that the effects of U.S. tariffs on world prices are negligible in most industries. In the median industry, U.S. tariffs reduce world prices by only 0.12% while raising domestic prices by 4.7%. We present some of the first estimates of optimal U.S. tariffs and show that optimal tariffs are typically small (3.6% in the median industry) and are usually lower than actual tariffs. These results contradict the popular belief that the United States fails to exploit its monopsony power in trade, and they provide a consistent economic explanation why the United States was for many years a champion of trade liberalization. JEL Codes: F1, D4, L1 1 Department of Economics, Bucknell University, Lewisburg, PA 17837; phone (570) 577-1752; fax (570) 577- 3451; email: [email protected] 2 Department of Finance, University of Texas, Austin, TX 78712; phone (512) 471-5777; fax (512) 471-5073, email: [email protected] 1 1. Introduction Consider the following paradox. The United States is the largest country in the world with over 21% of world income, 17.4% of world imports, and 9.9% of world exports in 2003.3 According to the standard optimal tariff argument for large countries, then, the United States should be one of the most protectionist countries in the world. Since the 1934 Reciprocal Trade Agreements Act, however, the United States has been one of the leading proponents of more open borders and has tariffs that are currently among the lowest in the world.4 Is the United States a large country in world trade? Is it failing to exploit its monopsony power in world trade markets by setting tariffs well below their optimal levels? The first technical criteria for largeness with respect to price effects was advanced by Alfred Marshall (1923, p. 213) in Money, Credit and Commerce.5 He argued that Britain was a large country in world trade because it could improve its welfare by raising its tariffs and driving down the prices of its imports on world markets, thus increasing the British terms of trade. Hence, the classic "large country effect" of international trade theory: large countries can raise welfare by imposing tariffs, which allows them to buy their imports more cheaply. Thoughtful international economists complicate their models enormously to incorporate large country effects, presumably so that their models will apply to the United States.6 The hypothesis that the U.S. is a large country has always appeared to contradict “America’s commitment to a system of open trade” (Irwin, 2002, p. 225) and the fact that the U.S. was one of the leading advocates of GATT tariff reductions. If the terms of trade effect is 3 CIA World Fact Book, 2004. 4 Based on World Bank and WTO data, the United States had the 10th lowest average tariffs (unweighted) among 82 countries in 1998. 5 We are indebted to the late Charles P. Kindleberger for this reference. 6 A casual examination of papers in international economics over the period 1991-1993 indicated that about half of them made the large-country assumption, either explicitly or implicitly. 2 an important consideration driving country tariff levels, we would expect the United States to have higher protection than everyone else. This apparent irrationality of the U.S. favoring freer trade than its partners is discussed in Krasner (1976) and Keohane (1984) in the international relations literature on the U.S. hegemony. If the United States is a large country, it must have deliberately chosen not to exercise its monopsony power and raise trade protection to optimal tariff levels for political reasons, such as our role as a world leader. Coates and Ludema (2001) provide another potential explanation for why a large country might have low tariffs. They show that a home country’s liberalization can weaken import-competing interests in foreign countries and thus raises the likelihood they will approve trade liberalization measures themselves. Under some conditions large country unilateral tariffs are lower than small country tariffs. This paper advances a different hypothesis to explain the contradiction between the optimal tariff argument and U.S. commitment to open trade. We argue here that the United States, and hence every other country in the world, is a small country and we provide evidence that the impact of U.S. trade barriers on world prices is negligible in most industries. In presenting some of the first estimates of optimal U.S. tariffs, we find an equally interesting result. The optimal United States tariffs are relatively small and have been lower than actual tariffs in most industries until recent years (during which time the U.S. commitment to a system of free trade appears to have softened). We estimate that the optimal tariff in the median manufacturing industry was 3.6% in 1992 while the actual tariff was 4.8%. These results suggest that even unilateral postwar U.S. tariff would cuts have raised welfare. Beginning with the Reciprocal Trade Agreements Act of 1934, the United States has gained even further by inducing foreign countries to lower their trade barriers on U.S. goods through bilateral and later GATT and WTO multilateral negotiations. This contention that the United States is a small country provides a simpler explanation of the United States’ push for open trade policies than the political-economic tradeoffs described in the hegemonic literature. Instead, the low optimal tariff calculations presented in this paper indicate that it has been in the United States’ own economic interest to pursue trade liberalization. 3 The arguments made in this paper run counter to the widespread view among economists that the United States is a large country in world trade. Before writing this paper we also held this view, and it is reflected in the undergraduate textbooks used in international economics. Husted and Melvin (2001, 168), for instance, state that the United States, while it rarely tries to use protection to influence its terms of trade, “certainly has the market power to do so.” Carbaugh (2000) claims that the case of a country large enough to influence world prices of imported goods “could apply to the United States … and to other economic giants, such as Japan and the European Union.” The empirical effect of U.S. trade barriers on world prices has been studied only rarely, however. Hufbauer and Elliot (1994) present one of the few estimates of the impact of U.S. tariffs on world prices for a number of different industries, with estimates ranging from a 0.8% fall in the world price of ball bearings to an 8.3% decline in the world price of orange juice. The authors point out that these estimates are likely to be overstated however, because they have chosen a conservatively low estimate (3.0) of the world supply elasticity for exports to the United States. Haynes and Stone (1983) estimate an elasticity of world supply to the U.S. of 10, which would suggest much smaller world price effects. Moreover, the purpose of the Hufbauer and Elliot (1994) study was to examine the costs of protection, which suggests that the industries they investigated were chosen because they are important traded sectors with high tariffs. As a result, the authors likely focused on industries with larger than normal terms of trade effects due to protection. Despite the scarcity of empirical estimates on the subject, the consensus exists among international economists that the United States is a large country in world trade because it seems plausible that the United States can influence prices in many world markets in the very short run. But elementary industrial organization has long taught that the United States has monopsony power only if it can control prices in a given world market for at least two years after a tariff increase by preventing countries from substituting their exports away from the United States to other markets. This paper uses measures of market concentration in trade and elasticity 4 estimates to show that the United States does not have such monopsony power in world markets. We find that even prohibitive tariffs on all U.S. imports would cause world prices to fall by less than two percent on average (and the United States would receive no economic gains from this decline because it would have eliminated all its imports). In individual products, we estimate that prohibitive U.S. tariffs would lower world prices by more than 10% in only two out of 28 industries, accounting for 6% of U.S. manufacturing imports. The next two sections in this paper address two separate questions. First, in what industries does the United States have the market power to influence world prices? Second, has the United States exploited its market power by using tariffs to influence world prices? 2. Does the United States have the market power to influence world prices? All countries with positive levels of imports can affect world prices to some degree by changing their trade policies. For most countries, however, the impact on world prices will be negligible and can be safely ignored. The question of a country’s market power in international markets is thus a subjective issue of when its influence on world prices becomes large enough that it can no longer be ignored. In this section, we first consider trade flows at an aggregate level and then we turn to the more relevant case of individual industries. 2.1 Aggregate measures of U.S. market power For over a half century, industrial organization economists have measured market power in an industry using the Herfindahl-Hirshman Index (HHI) of market concentration. The HHI is the sum of the squared market shares of suppliers in a market, with theoretical values ranging from close to 0 (e.g., tens of thousands of small farmers) to 10,000 (one monopoly seller). Cameron and Glick (1996. p. 194) discuss how the Federal Trade Commission uses the HHI “as a screening device to filter out cases that require no further competitive analysis.” The U.S. 5 Justice Department and the U.S. Federal Trade Commission use the following cutoff points for the values of the HHI in evaluating mergers in markets: 0-1,000 as being unconcentrated markets; 1,000-1,800 as being intermediate concentration; and above 1,800 as being highly concentrated (Carlton and Perloff, 1994, 805). As a background check on market concentration in world trade, we calculate the HHI in world trade markets treating each country as if it were a firm. Table 1 provides the shares of world imports accounted for by the 20 largest importers, with the HHI calculated for world imports and world exports in the last two rows. The table shows that the HHI equals 561 for world imports and 415 for world exports. Both of these values are in the middle of the Justice Department-FTC's most unconcentrated range of 0 to 1,000. Dividing the world import HHI into 10,000 gives 18 as the number of equal-sized importers in world trade. With such low market concentration, it is clear that world trade is not concentrated on a few large sellers or buyers. The most zealous antitrust commissioner would not be worried about the ability of even the United States, the largest country in world trade, to manipulate prices successfully on world markets. For antitrust purposes, industrial organization teaches that short-run price increases will be undone by entry and market substitution. Countries getting exploited by U.S protection will substitute at the margin into other markets. Current practice in the United States is that a firm accused of monopoly must be capable of not just affecting price, but maintaining those price effects for at least two years. Thus, the standards in industrial organization for monopsony power are higher than merely being able to influence prices in the very short-run. Instead, the United States must be able control prices in a given industry on world markets for at least two years. To do this would require that the United States prevent countries from substituting their exports away from the United States to other markets as U.S. protection increased. This price 6 control is virtually impossible without the necessary condition of very high Herfindahl-Hirshman Indexes (HHIs). The low HHI in world trade overall suggests that the United States does not have this ability to control prices. This conclusion does not change when we examine trade at an industry level, which provides a more appropriate comparison to the typical industry-level HerfindahlHirshman index. Figure 1 summarizes the results of calculating the HHI for 1998 world imports within 434 4-digit SITC industries, again treating each country as a firm. Measuring the HHI by industry reveals that 320 of the industries, accounting for 71% of world trade flows, are unconcentrated (HHI<1000); 94 industries, accounting for 27% of trade flows, had intermediate levels of market concentration (1000<HHI<1800); and only 20 industries, with less than 2% of the total import value, had highly concentrated market power by country. Of course the United States might have some market power even if world trade flows overall resemble a competitive industry. As Table 1 shows, the United States had a 17.4 percent share of world imports in 2003. In industrial organization, this is insufficient for a buyer to have monopsony power and the ability to influence prices in a market. If the United States tried to lower world prices by raising its tariffs, foreign suppliers would substitute into the other 83 percent of the world market to offset the attempted price control by the United States. Supplier substitutability undermines the ability of a buyer with such a small market share to control prices. The 17% U.S. market share in trade flows is also considerably below the 50% market share that many courts have adopted as a “prerequisite for a finding of monopoly.” (Cameron and Glick, 1996, p. 193) The industrial organization literature indicates that prices do not show elevated levels (monopoly-type power) except in industries with four-firm concentration ratios above 50 percent (Carlton and Perloff, 1994, 358). Treating each country as a firm in the world trade market, 7 world trade flows fall well short of the 50% cutoff – the four-country concentration ratio in world imports (the U.S., Germany, China and the U.K. are the big four) is only 36%. Work on the contestability of markets indicates that individual firms with market shares over 70 percent may still be unable to control prices in the absence of entry and exit barriers. Further, the industrial organization literature presumes that tacit or explicit collusion among the largest sellers is usually required to elevate prices. In world trade, there is no evidence that large countries collude to lower world prices by coordinated increases in protection. While exporting countries have coordinated price increases through voluntary export restraint agreements, these agreements have acted to raise the price of imports paid by the United States rather than lowering the price as a monopsonist buyer should. In short, world import markets are not very concentrated and the United States share of world imports is too low for it to have monopsony power as a buyer. In reality, its 17% share of world imports dramatically overstates the ability of the United States to influence world prices. World prices are determined by world supply and demand, and the world supply of goods is many times larger than just international trade in goods. Thus, as long as producers can move their output between domestic sales and exports, the U.S. market power in trade policy depends not on the U.S. share of world imports but on U.S. imports as a share of world supply. The U.S. import share of world output is considerably smaller than 17%. In 2003, the United States imported $1.26 TR worth of goods while world GDP outside the U.S. was $40.43 TR.7 The market controlled by U.S. trade policy, then, amounts to only 3.12% of the supply of potential U.S. imports. While most economists would likely agree that this market share is too small to grant monopsony power, the United States market power may be larger in sectors that are heavily traded because the GDP figures cited 7 CIA World Fact Book, 2004. 8 above include nontraded goods. Thus the more relevant measures of market power must be calculated for each industry, an exercise to which we now turn. 2.2 Industry measures of market power Here we present a simple model of world supply and demand to study the effects of U.S. tariffs on world prices. Figure 2 illustrates the effect of a drop in U.S. imports due to tariff protection on world prices. Let S row be the supply curve for all countries outside of the U.S., and Drow be the demand curve in the rest of the world. Demand outside of the U.S. plus U.S. demand for foreign goods ( M us ) must equal the supply in the rest of the world plus the U.S. supply into world markets ( X us ). Suppose that a U.S. trade barrier would reduce imports by ' ∆M us (from M us to M us ) if the world price remained constant. The original world equilibrium is at point E, with a world price of Pw and quantity produced outside the U.S. of Qrow . The fall ' , and the new equilibrium is at point in U.S. demand shifts world demand inward to Drow + M us ' E ' , with a world price of Pw' and quantity produced of Qrow . We assume here that the demand and supply curves have constant elasticities. The equations for the demand and supply curves are: (1) Qd ,row + M us = P ε d and (2) Qs ,row + X us = P ε s , where ε s is the elasticity of world supply and ε d is the world demand elasticity. Notice that this setup is partial-equilibrium in that U.S. trade barriers do not reduce U.S. exports, as they would in a general equilibrium model. In the long run, the fall in imports in one industry must 9 be completely offset by a decline in the country’s total exports in all industries – this is the Lerner symmetry theorem. In a general equilibrium framework, then, the world price effects of a trade barrier on the price of the protected good will be smaller than those predicted here because some of the drop in the industry’s imports may be offset by a fall in its exports. From equations (1) and (2), it is possible to solve for the percentage change in world prices when there is a change in U.S. import demand: 1 ( ) ∆M us %∆Pw = (1 + ) ε s −ε d − 1 . Qs ,row + X us (3) Since supply elasticities are positive and demand elasticities negative, the world price change will have the same sign as ∆M us . Thus, the world price declines when U.S. imports fall due to tariff protection. Equation (3) shows that the effect of U.S. trade barriers on world prices depends critically on the ratio ∆M us , or the change in U.S. imports relative to world Qs ,row + X us supply. In order to measure predicted world price changes, we need estimates of demand and supply elasticities. Demand and supply price elasticity estimates in world markets are not available to our knowledge. Mansur and Whalley (1984) survey the empirical literature estimating demand elasticities, and they present “central tendency” elasticity estimates for a number of industries. We use their demand elasticity estimates as measures of the ROW price elasticities of demand throughout the paper (each industry’s demand elasticity estimate is listed in Table 3). Price supply elasticity estimates are extremely rare and we have been unable to find estimates for broad categories of manufactured goods. In order to get an estimate of the supply elasticity among manufactured goods in world markets, we rewrite equations (1) and (2) in logs 10 and add real U.S. GDP ( Yus ) as an exogenous demand shifter. This setup is similar to the system of supply and demand equations in Greene (1990, p. 592): (4) log(Qd ,row + M us ) = ε d log( Pw ) + α 2 log(Yus ) + u d (5) log(Qs ,row + X us ) = ε s log( Pw ) + ε s . In order to estimate this system we use data on import prices in manufacturing between 1982 and 1992 from Feenstra (1994). Manufacturing output in 28 3-digit ISIC industries for these years is available for 67 countries in the Trade and Production Database available at www.worldbank.org/research/trade and described in Nicita and Olarreaga (2001). Unfortunately, some countries have missing production data for some years. To deal with this problem we regress (within each country) industry output on a time trend and replace missing production values with their predicted levels from this regression. Summing over all industries and over all countries except the U.S. provides a measure of rest of the world manufacturing output. Greene (1990) shows that the indirect least squares estimator provides a consistent estimate of the price elasticity of supply: ε̂ s = slope in regression of log(Qs,row + X us ) on log(Yus ) slope in regression of log(Pw ) on log(Yus ) . The indirect least squares estimate of the supply elasticity in world markets is εˆ s = 0.982 .8 This estimate is clearly an imperfect measure of the true supply elasticity in each industry, so later in the paper we present results using a range of values for the supply elasticity. Suppose that the U.S. raised its current trade barriers to prohibitive levels in every industry. How much would such a drastic increase in trade barriers affect world prices on 8 This setup assumes that the supply elasticity is constant over time. Estimating the elasticity from 1982-1986 ( εˆ s = 1.05 ) and from 1987-1992 ( εˆ s = 0.91 ) provides some weak evidence that the elasticity does not vary much over time. 11 average? For a preliminary measure of the aggregate price change due to prohibitive U.S. tariffs, we use the estimated supply elasticity of εˆ s = 0.982 , and the median demand elasticity among the Mansur and Whalley (1984) estimates: ε d ,row = −0.659 . Kee, Nicita, and Olarreaga (2004) provide estimates of countries’ import demand elasticities at the 6-digit HS industry level.9 The import-weighted average elasticity across all industries in the United States is ε md ,us = −1.3 .10 The CIA World Fact Book provides 2003 estimates of U.S. trade flows: M us = $1.26 TR and X us = $714.5 B and of world GDP outside of the U.S. of Qs ,row = $40.43 TR . Substituting these values into equation (3) and letting ∆M = − M us = −$1.26 TR reveals the predicted world price change: %∆Pw = −1.9% . World prices on average would fall by a little under 2% if the United States were to block all imports (but U.S. exports remained unchanged). Reducing the supply elasticity estimate to ε s = 0.5 would result in a world price change of %∆Pw = −2.6% while raising the supply elasticity estimate to ε s = 2 would result in a smaller world price change of %∆Pw = −1.2% due to prohibitive tariffs. The current levels of U.S. imports are already restricted to some degree by protection, however, so the maximum impact of U.S. trade protection on world prices might be larger. The largest possible effect of U.S. protection on world prices would occur if the free-trade level of U.S. imports were cut to zero by prohibitive tariffs. In such a case, the change in world prices would be: 9 Special thanks go to Hiau Looi Kee for providing us with their estimates of import demand elasticities. 10 Whalley (1986) provides a “central tendency” import price elasticity in the literature that is slightly larger in magnitude: emd = −1.66 . 12 1 (6) FT ( ) M us %∆Pw = (1 − ) ε s −ε d − 1 , Qs ,row + X us FT where M us is the free trade level of U.S. imports. Since we do not observe the free trade level of imports in many industries, we need to estimate it using measures of protection and U.S. import demand elasticities. If t av is the ad valorem tariff rate in the industry, an estimate of U.S. FT = M us (1 − t av * ε md ) . The World Bank reports an average imports under free trade is M us (unweighted) ad valorem tariff of t av = 3.9% for the United States in 2002. Thus, if the U.S. were to move from free trade to autarky, the effect on world prices would be roughly %∆Pwmax = −2.0% . The United States would not benefit from such an increase in its terms of trade, of course, since it is by assumption cutting off all imports. We will examine the terms-oftrade gains from optimal tariffs in the next section. While the aggregate effect of U.S. prohibitive tariffs on world prices appear to be quite small, the U.S. may have a greater ability to influence world prices in specific industries. We examine the potential U.S. market power in individual industries for the year 1992 because the Trade and Production Database has the fewest missing production values for that year. Since not all countries in the world are included in the data set, the world output levels in each industry will be slightly understated (and the U.S. tariff effect on world prices overstated).11 The countries in the data set accounted for 84% of extra-U.S. world GDP in 2003. Table 2 presents an industry-level analysis of the effect that prohibitive tariffs would have on world prices in each sector. The first column shows 1992 U.S. imports in the industry in millions of dollars. The second column shows the ratio of U.S. imports to supply: M us . Qs ,row + X us 13 In the median manufacturing industry, U.S. imports are 4.13% of the world supply. The third column in Table 2 presents an estimate (using equation 3) of the effect on world prices of a prohibitive U.S. tariff. Cutting the 1992 import levels to zero would have lowered the world prices of these imports in the median industry by 2.5%. Using supply elasticity estimates of 0.5 or 2.0 would change the price effects of prohibitive tariffs to 3.5% and 1.6%, respectively, in the median industry. Longer-run supply elasticities may be larger (implying that world price effects are smaller) than the estimated value near unity used in this paper since entry, exit and output adjustments cause supply curves to be quite elastic in the long-run. Table 2 shows that for many industries, the U.S. has little market power and thus can not use trade policy to influence its terms of trade in any significant manner. The implication that the United States is a small country is not true of all sectors, however. Prohibitive tariffs in the United States would lower world prices by more than 10% in two out of 28 industries, accounting for 6% of U.S. manufacturing imports. The largest impact of prohibitive U.S. tariffs on world prices occurs in the footwear industry because U.S. imports account for about 19% of the potential import supply in the industry. A prohibitive tariff in footwear would lower world prices by 11%. The U.S. also has the potential to lower world prices by more than 8% if it cut off all imports in the apparel, scientific equipment, and miscellaneous manufacturing goods industries. The industry effects of a U.S. move to autarky on world prices are illustrated in Figure 3. For 19 out of 28 industries, the United States would not change world prices by more than 3% even if it were to cut off all imports. For another five industries, the impact of such a move on world prices would be between 3 and 6%. The industries with the largest dollar values of 11 The import data contain U.S. imports from all sources, not just from the other 66 countries in the data set. 14 imports – transportation equipment, electrical machinery, and non-electrical machinery – would see a fall in world prices of between 4 and 5% if the U.S. blocked all its imports. Columns 4, 5, and 6 in Table 2 relate to equation (6), which estimates the maximum potential U.S. trade policy effect on world prices. Column 4 presents an estimate of U.S. imports in each industry under a policy of free trade, while column 5 reveals the percentage of world supply that would be taken up by U.S. imports under free trade. Column 6 presents an estimate of how much world prices would fall in each industry if the U.S. moved from free trade to autarky. In most industries, the maximum potential impact of U.S. trade policies on world prices is fairly small. For 18 out of 27 industries, for example, world prices are estimated to fall by less than 4% if the U.S. were to move from free trade to autarky. For several industries, however, the potential world price effects are sizable. In three of the 27 industries examined, world prices could fall by more than 10% if the U.S. were to move from free trade to autarky. In the median manufacturing industry, a move from free trade to prohibitive tariffs would reduce the world price by 2.8%. The approach we have taken here is to examine the effect of U.S. trade policy on world prices assuming that exporters do not treat foreign markets as segmented. With imperfect competition and segmented markets, foreign firms may absorb part of tariff increases so that the importing country gains a terms of trade advantage, as Brander and Spencer (1984) show. These arguments have to do with imperfect competition rather than with the size of the importing country. As Gros (1987) shows, for example, even very small importing countries can induce foreign exporters to absorb part of a tariff increase under imperfectly competitive conditions. Thus, the potential terms of trade gains of tariffs under imperfect competition is a separate issue from the question of whether the United States is a large country, and we focus only on whether the U.S. is large enough to influence world prices in competitive markets. 15 The assumption we make in this paper of a unified world market for traded goods may not yet be a reality (although the world seems to be moving in that direction). Eaton and Kortum (2002), for instance, estimate that there are significant geographic barriers to trade, and counterfactual simulations of their model indicate that a unilateral tariff reduction by the United States lowers U.S. welfare. When transportation costs increase with distance, the world effectively shrinks so that each country conducts most of its trade within a trading region. In such a world, the United States can easily influence the prices within its trading region (and might have sizable optimal tariffs) without being a large country in world markets. The assumption made in most papers and textbooks is that the United States is a large country in world markets rather than that it is a large country in its trading region, and it is the former claim that we examine in this paper.12 The most important result in this section is that U.S. imports, even when they are large shares of world trade, are usually very small fractions of world output. As a result, even prohibitive U.S. tariffs would have only minor impacts on world prices in most industries. 3. Does the United States use its trade policies to influence world prices? 3.1 Effects of United States tariffs on world prices Equation (3) in the previous section provides a simple measure of how much current U.S. tariffs affect world prices. If world prices do not change, then U.S. imports would fall by ∆M us = M us * t av * emd ,us due to the tariff. This change constitutes the inward shift of the world demand curve. The resulting change in world prices is 12 Magee, Yoo, Choi and Lee (2004) examine import shares within a smaller U.S. trading region. Considering only the United States’ 95 closest trading partners, providing 80% of U.S. imports, the U.S. import share of trade among this group of countries was less than 30% in the vast majority of 3-digit industries and less than 50% in all of them. 16 %∆Pwtariffs (7) = (1 + M us * t av * emd ,us Qs ,row + X us ( ) 1 ε s −ε d ) −1. Using the aggregate values of world supply and of U.S. imports, exports, and tariffs in 2002 provides a preliminary estimate of the effect of tariffs on world prices: %∆Pwtariffs = −0.09% . Thus, for the elasticities in this example and the total U.S. import and world output levels, the change in world price caused by existing U.S. tariffs in the aggregate equals less than one-tenth of one percent. This estimate of the world price change is much smaller than the terms-of-trade effects of U.S. tariffs estimated in Whalley (1986). He uses a general equilibrium eight-region global trade model to estimate the effects of a 50% cut in U.S. tariffs and he concludes that the U.S. terms-oftrade would fall by 2%. Deardorff and Stern (1986), on the other hand, use a computable general equilibrium (CGE) model and find much smaller results on the terms of trade. In fact, their estimate is that a 50% cut in U.S. tariffs would reduce the U.S. terms-of-trade by 0.09%, a result that is similar to our own estimates of the price effects of U.S. tariffs. In commenting on these two papers, de Melo (1986, p. 221) criticizes the Armington CES assumption in the Whalley (W) model, which “is clearly responsible for large terms-of-trade change reported by (W) and deserves further scrutiny.” The very different estimates in Whalley (1986) and Deardorff and Stern (1986) illustrate one of the weaknesses in CGE models – that the results are often very sensitive to the model’s assumptions. While using aggregate values for trade flows and tariffs may indicate small effects of trade barriers on world prices, the terms of trade effects may be much larger in specific industries, particularly for ones in which the tariff is high and import demand elasticities are large. The first four columns in Table 3 present measures of 1992 U.S. imports as a share of world supply, the average U.S. tariff rate in 1992, the import demand elasticity estimate from 17 Kee, Nicita, and Olarreaga (2004), and the demand elasticity estimate from Mansur and Whalley (1984) for each of 27 3-digit ISIC manufacturing industries. The final column shows the estimated effect of U.S. tariffs on world prices. For the vast majority of industries, U.S. trade policies had only negligible effects on world prices. In the median industry, for example, world prices would have risen by 0.12% if U.S. tariffs had been eliminated. Using supply elasticity estimates of ε s = 2 or ε s = 0.5 would result in a median industry world price effect of between 0.08% and 0.18%. The small impacts on world prices are partly the result of low average tariffs – the median industry tariff was below 5% in 1992 – and partly caused by the fact that U.S. imports are relatively small fractions of world output in most industries. Ideally, we would like to present estimates of the effects of U.S. nontariff barriers on world prices, but measures of the levels of protection provided by nontariff barriers are not available. The results in Table 3 indicate, however, that world prices would fall by less than 1% in the median industry due to nontariff barriers even if they were eight times more protective than tariffs in 1992. Notice that in the typical industry, the vast majority of the tariff acts to raise the domestic price in the United States, while the world price falls by only a very small amount. Figure 4 illustrates this fact using import demand and export supply curves. Because U.S. imports are a small fraction of world consumption, there is a high elasticity of foreign export supply to the United States. As a result, the export supply curve is very flat. The tariff drives a wedge between world and domestic prices ( = AC), but most of this difference results in higher domestic prices ( = AB) rather than lower world prices ( = BC). In the median industry, the U.S. tariff raises domestic prices by 4.71% and lowers world prices by only 0.12%. Figure 5 illustrates the effect of U.S. tariffs on world prices across industries. In 23 of the 27 industries, world prices fall less than one-half of one percent as a result of U.S. tariffs, while in another two industries, world prices fall less than 1%. Nearly 86% of U.S. 18 manufacturing imports came in industries in which the effect of U.S. tariffs on world prices was less than 0.5%. U.S. tariffs lowered world price by more than 1% in only two industries (footwear and apparel), making up about 7% of U.S. manufacturing imports. Thus, for all but a few industries, there is little evidence that the existing U.S. tariff protection has significantly reduced the world prices of its imports. Magee, Yoo, Choi, and Lee (2004) test some other implications of the hypothesis that the United States is a large country. Using data for most of the 20th century, they found that changes in protection were not significantly correlated with changes in the U.S. terms of trade after 1934. 3.2 Optimal tariffs for the United States There is an extensive literature investigating optimal tariffs theoretically. Mai and Hwang (1997), for example, examine optimal tariffs when firms choose their production locations endogenously while Coates and Ludema (2001) incorporate political economy considerations in foreign trading partners into the analysis. Williams (1999) adds a distortionary income tax into the model of optimal trade policies, and Chiou, Hu, and Lin (2003) introduce consumer preferences for home-country goods. Empirical estimates of optimal tariffs, however, are virtually nonexistent, so in this paper we ignore many of the complications in determining optimal tariffs in the theoretical literature in order to provide some of the first empirical estimates of U.S. optimal tariffs. We do so in the simple model presented in most international economics textbooks. In order to simplify the analysis, we assume that markets are competitive (so that there are no strategic trade policy considerations) and that supply and demand curves are linear: QS = a + bP , and QD = c − dP . Using linear demand and supply curves generates tariff effects 19 on world prices that are comparable to (but slightly larger than) those in the constant elasticity model in the earlier sections of this paper. Figure 6 shows the standard partial-equilibrium treatment of a large-country tariff. If the U.S. has free trade, the world price of the good is PwFT . When the U.S. imposes specific tariff t , the world price falls to Pw while the domestic U.S. price rises to Pw + t . The tariff leads to welfare losses in areas A and B in the graph while area C represents a terms-of-trade gain. The net change in welfare from the tariff is ∆W = C − A − B . The areas are determined by the following equations: (8) A= 1 ( Pw + t − PwFT )(QS 2 − QS FT ) 2 (9) B= 1 ( Pw + t − PwFT )(QDFT − QD2 ) 2 (10) C = ( PwFT − Pw )(QD2 − QS 2 ) The effect of a tariff on home country welfare is (11) ∂W ∂C ∂A ∂B − = − , or ∂t ∂t ∂t ∂t ∂P ∂QD2 ∂QS 2 ∂W − ] − w (QD2 − QS 2 ) = ( PwFT − Pw )[ ∂t ∂t ∂t ∂t . ∂Pw ∂QS 2 ∂QD2 1 ) + ( Pw + t − PwFT )( )] − [(QS 2 − QS FT + QDFT − QD2 )(1 + − ∂t ∂t ∂t 2 Let X = M FT Qs ,row (−emd ,us ) and normalize the ( M us − X us ) M us X us )− e s − ed (1 − emd + e xs Qs ,row Qs ,row Qs ,row world free trade price to one: PwFT = 1 . The post-tariff world price is Pw = 1 − tX . U.S. imports under free trade are M FT = QD FT − QS FT . Setting tariff: ∂W = 0 , we can solve for the optimal ∂t 20 (12) t opt = M FT X (b + d )(1 − X 2 ) . As long as demand elasticities are negative and supply elasticities are positive, it will be the case that X ≥ 0 . In addition, the second order condition for the tariff in (12) to maximize welfare requires that X < 1 . As a result, the optimal tariff is positive. Notice that as the country’s imports under free trade as a fraction of world output approach zero ( M FT → 0 ), the Qs ,row variable X falls to zero as well: X → 0 . Thus, as imports under free trade become smaller relative to the size of the world market, the optimal tariff also approaches zero. Estimates of import demand elasticities can be used to measure the sum of the slope of the supply curve and the negative of the slope of the demand curve: (13) b + d = −emd ,us M us , Pus where Pus = Pw + t = 1 − tX + t is the domestic price in the United States inclusive of the tariff. Table 4 presents estimates of the optimal tariffs for the United States for 27 manufacturing industries. The median optimal tariff is 3.59% of the free-trade world price. The estimated optimal tariffs range from 0.7% in the printing and publishing industry to over 18% in the footwear industry. For more than half of the industries (16 out of 27), the estimated optimal tariff in 1992 was lower than the existing tariff. Thus, reducing tariffs unilaterally would raise welfare in most manufacturing industries. This welfare conclusion is the same as that in the computable general equilibrium model in Brown, Kiyota, and Stern (2005). They find that a unilateral move by the United States to free trade would raise U.S. welfare by 3.4% of GDP. They do not calculate optimal tariffs, but their result that trade liberalization raises welfare suggests that the optimal tariffs are lower than actual tariffs in most industries. 21 The third column in the table shows how much world prices would drop from their free trade levels if the U.S. were to adopt its optimal tariff in each industry. As the table makes clear, the terms-of-trade effects of the optimal tariff are very small in most industries. Only four industries out of 27 would see a drop of more than 1% in the world price if the United States were to move from free trade to its optimal tariff. The final column shows the impact of the optimal tariff on domestic prices in the United States, which equals the optimal tariff plus the accompanying change in the world price. Because the world price effects are so small, nearly the entire tariff is reflected in higher domestic prices. In the median industry, for example, the optimal tariff is 3.59%. Domestic prices rise by 3.46% while the world price falls by 0.13%. How can it be optimal for a country to raise its own domestic prices by nearly 3.5% in exchange for such a small drop in the world price? The answer lies in the “tyranny of triangles” and the fact that the costs of protection in the partial-equilibrium framework are related to the size of the tariff squared while the terms of trade gains depend directly on the size of the world price drop. Because the costs of protection are so small in the partial-equilibrium model, it is possible to have moderate optimal tariffs despite terms of trade effects that are almost nonexistent. If the true costs of protection are much larger, as many researchers have claimed (see Cox and Harris, 1985, for example), then the true optimal tariffs will be much smaller. The most important determinant of optimal tariffs across industries is the variable M FT , or the ratio of U.S. imports under free trade to world output. In fact, 96% of the Qs ,row variation in optimal tariffs across industries can be explained by differences in this variable – regressing optimal tariffs on free trade U.S. imports as a share of world output results in R 2 = 0.96 . Not surprisingly, actual U.S. imports as a share of world output also provides an excellent predictor of optimal tariffs in each industry. Regressing optimal tariffs on this variable 22 (with no intercept) generates the following estimate: optimal tariff = 0.82 M us 13 . Thus, for Qs ,row non-manufacturing industries where elasticity estimates are not readily available, 0.82 times imports as a share of extra-U.S. world output provides a crude (but perhaps fairly accurate) estimate of the optimal tariff. Is there any relationship between the optimal tariffs and the existing U.S. tariff levels? Interestingly, Figure 7 shows that there is a strong positive correlation between the two. The tariff is 0.4 percentage points higher for each one percentage point increase in the optimal tariff, and the coefficient is statistically significant at the 1% level.14 For a cross-section regression with only one explanatory variable, the fraction of the variance in tariffs explained by differences in optimal tariffs ( R 2 = 0.41 ) is also remarkably large. As the figure shows, actual U.S. tariffs tend to be higher than optimal tariffs in industries with low optimal tariffs. At an optimal tariff of zero, for example, the predicted actual tariff is 3.4%. The strong correlation between optimal and actual tariffs is consistent with a situation in which policymakers consider the terms-of-trade gains in setting tariffs. There are other possible explanations, however. Optimal tariffs are higher in industries in which the United States has a comparative disadvantage (and thus large levels of imports under free trade). Political economy considerations may also push tariff levels up in industries where imports tend to be high, as Trefler (1993) shows. Thus, it is not clear whether the result in Figure 7 is caused by sophisticated policymakers or by omitted factors that are correlated with both optimal tariffs and existing tariffs. 13 This regression has R 2 = 0.97 , but R-squared values do not provide a good measure of the “goodness of fit” for a regression line without an intercept. 14 If the four outliers are dropped from the regression, the slope rises to 0.5, while the R2 declines to 0.17. 23 4. Conclusion Is the United States a large country in world trade? The answer clearly depends on the industry being examined, but we have argued here that for most industries the impact of U.S. trade policies on world prices is negligible. There are several variants of the “U.S. is a large country” hypothesis. The most common is that a large country can influence world prices because it has a sufficiently large share of world imports. We have shown that the U.S. share of world imports (17.4%) is smaller than the level deemed necessary for monopsony power in the industrial organization literature (at least 30% and often much more). Furthermore, we have argued that it is U.S. imports as a share of world output rather than of world imports that is the relevant criterion to judge U.S. market power. Since U.S. imports are only 3.1% of the supply of potential imports in the aggregate, U.S. trade policy market power is severely limited. Examining specific industries, we find that world prices in the median manufacturing industry are lowered by only 0.12% due to U.S. tariffs. In 23 out of 27 industries, accounting for 86% of U.S. manufacturing imports, world prices fell by less than one-half of one percent due to U.S. tariffs. The industries in which U.S. trade policy has had the most significant influence on world prices are footwear and apparel. These are the only two industries in which the world price effects of U.S. tariffs were larger than 1%, and they accounted for about 7% of U.S. imports in 1992. Despite the small effects of U.S. trade barriers on world prices in most industries, we calculate optimal tariffs for the United States that are occasionally large. The median industry optimal tariff, for example, is 3.59%, and 11 out of 27 industries had optimal tariffs higher than existing tariffs in 1992. The median industry’s optimal tariff is estimated to result in a 3.46% 24 rise in the domestic price and only a 0.13% fall in the world price. Interestingly, optimal tariffs are strongly correlated with actual U.S. tariffs across industries. The results in this paper have important implications for the way countries set their trade policies. We have shown here that U.S. optimal tariffs were lower than the existing tariffs in 16 of 27 manufacturing industries in 1992 and that the median industry optimal tariff is less than 4%. As a result, before the Uruguay Round tariff cuts the United States had an incentive to liberalize unilaterally in most industries, and optimal tariff considerations did not dampen the United States’ enthusiasm for more open markets worldwide. Only recently (when there has been a significant weakening in the U.S. push for liberalization) has the U.S. been compelled to weigh the gains from a multilateral trade deal in improved access to foreign markets against the potential welfare costs of unilaterally reducing U.S. tariffs. Since no other single country in the world currently has even half of the U.S. level of imports, their optimal tariffs should be much smaller than those for the U.S. Thus, terms-oftrade and optimal tariff considerations are largely negligible when other countries set their trade policies. This result strongly supports Irwin (2002, p. 63), who states that “the terms-of-trade motive for trade restrictions has little relevance for most countries’ policies. Few countries have the ability to manipulate their terms of trade, and most policy makers probably have little idea what the terms of trade are.” Given the results in this paper, policy makers are rational to ignore the terms of trade in setting tariff barriers in the vast majority of cases. The results here also suggest that countries do not enter into GATT/WTO negotiations in order to resolve their termsof-trade incentives to beggar-thy-neighbor since these incentives are largely negligible for most participants. Multilateral negotiations must be needed for other reasons, such as to co-opt exporters into lobbying for trade liberalization by offering reciprocal tariff cuts abroad. 25 We have discussed several reasons (segmented markets and geographic barriers to trade) why U.S. trade barriers may have larger impacts on world prices than those calculated in this paper. There are likely to be other situations that could contribute to non-negligible terms of trade gains from U.S. protection. We argue here, however, that in a competitive and unified world market, it is unlikely that even the United States can control world prices in the vast majority of industries. 26 Figure 1 Herfindahl indexes in international trade, 1998 Number of industries 350 320 300 250 200 150 94 100 50 20 0 <1000 1000 to 1800 above 1800 Herfindahl category Figure 2 P S row + X us ∆M us E Pw Pw' E’ Drow + M us ' Drow + M us ' Qrow Qrow Q 27 Figure 3 Prohibitive tariff effects on world prices in manufacturing industries 10 9 9 Number of industries 8 7 6 6 5 4 5 4 3 2 2 2 6-10 10+ 1 0 0-1 1-2 2-3 3-6 % decline in world price due to a prohibitive US tariff Figure 4 Price A U.S. import demand curve +4.71% Effect on U.S. price -0.12% Effect on world price Foreign export supply curve to the U.S. B C F Quantity of U.S. imports 28 Figure 5 Effect of US tariffs on world prices, 1992 14 12 Number of industries 12 10 8 6 6 5 4 2 2 2 0.5-1 1+ 0 0-0.1 0.1-0.2 0.2-0.5 % change in world price due to tariff Figure 6 Effect of tariffs on welfare in a large country Sus P Pw+t PwFT A B C Pw Dus QSFT QS2 QD2 QDFT Q 29 Figure 7 US tariffs and optimal tariffs, 1992 14% apparel footwear Actual U.S. tariff 12% textiles 10% plastics 8% pottery y = 0.3998x + 0.0343 leather glass 2 R = 0.4106 food 6% 4% 2% chemicals electrical transport machinery b steel wood rubber printing oil refineries scientific miscellaneous equipment manufactures machinery paper 0% 0% 2% 4% 6% 8% 10% Optimal tariff 12% 14% 16% 18% 20% 30 Table 1: Country shares of world trade, 2003 Country United States Germany China United Kingdom Japan France Italy Canada Hong Kong Netherlands Spain South Korea Belgium Mexico Singapore Taiwan Switzerland Sweden Australia Austria Rank Imports ($B) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1260 585 397 364 347 340 271 240 230 218 197 176 173 169 122 120 102 83 83 82 Share of world imports 17.40 8.08 5.49 5.02 4.79 4.69 3.74 3.32 3.18 3.01 2.72 2.43 2.39 2.33 1.68 1.65 1.41 1.15 1.15 1.13 7240 100.00 World Herfindahl-Hirschman Index for imports Herfindahl-Hirschman Index for exports 561 415 Source: CIA World Fact Book 2004, http://www.odci.gov/cia/publications/factbook/index.html, accessed July 12, 2004. 31 Table 2: Effect of prohibitive U.S. tariffs on world prices in manufacturing, 1992 Industry 1992 U.S. U.S. Prohibitive Estimated imports imports as tariff impact free trade ($ M) % of world on world imports supply prices ($ M) Other manufactures 21,500 19.01% -10.56% 22,735 Free trade Free trade to imports as autarky % of world impact on supply world prices 20.10% -11.19% Footwear 8,472 18.95% -10.76% 9,573 21.41% -12.21% Apparel Professional and scientific equipment Leather products 25,300 15.14% -8.98% 28,981 17.34% -10.33% 17,700 14.47% -9.44% 18,523 15.14% -9.89% 3,589 8.87% -5.23% 3,876 9.58% -5.66% Transport equipment 99,500 8.34% -4.27% 103,879 8.70% -4.46% Electric machinery 77,000 7.64% -4.73% 80,313 7.97% -4.94% Non-elec. machinery Pottery china earthenware Non-ferrous metals 71,300 7.04% -4.45% 73,873 7.30% -4.61% 1,833 6.79% -4.08% 1,979 7.33% -4.40% 10,000 5.75% -2.76% 10,368 5.97% -2.86% Wood products 7,235 4.82% -2.45% 7,499 5.00% -2.54% Industrial chemicals 22,200 4.77% -2.85% 23,512 5.05% -3.03% Furniture 4,888 4.36% -2.20% 5,139 4.58% -2.31% Rubber products 4,492 4.28% -2.66% 4,700 4.48% -2.79% Textiles 15,400 3.98% -2.62% 18,947 4.90% -3.22% Petroleum refineries 13,300 3.85% -1.50% 13,452 3.90% -1.52% Paper 10,500 3.84% -2.81% 10,709 3.92% -2.87% Plastic products 10,500 3.80% -2.34% 11,640 4.21% -2.60% Glass and products 2,334 3.66% -2.31% 2,538 3.98% -2.51% Fabricated metals 14,900 2.83% -1.37% 15,707 2.98% -1.45% Other chemicals 11,900 2.75% -1.62% 12,527 2.89% -1.71% Iron and steel 9,919 2.43% -1.17% 10,496 2.58% -1.24% Beverages Petroleum and coal products Food products Other non-metallic mineral products 4,547 2.24% -1.38% 4,820 2.37% -1.47% 488 1.68% -0.67% 495 1.70% -0.68% 16,100 1.48% -1.00% 16,917 1.55% -1.05% 2,158 0.84% -0.52% 2,268 0.88% -0.55% 949 0.79% -0.54% . . . Printing, publishing 2,274 0.71% -0.53% 2,320 0.72% -0.54% Median industry 10,250 4.13% -2.53% 10,709 4.58% -2.79% Tobacco14 14 The tariff for the tobacco industry is missing for 1992 in the TRAINS data set, so the estimated imports under free trade can not be calculated. 32 Table 3: Effect of existing U.S. tariffs on world prices in manufacturing, 1992 Industry U.S. imports 1992 U.S. Industry import as % of world tariff rate demand elasticity supply Other manufactures 19.01% 5.58% -1.03 -0.67 Estimated effect of U.S. tariffs on world price -0.59% Footwear 18.95% 11.72% -1.11 -0.56 -1.36% Apparel Professional and scientific equipment Leather products 15.14% 13.38% -1.09 -0.54 -1.28% 14.47% 5.79% -0.8 -0.62 -0.43% 8.87% 6.75% -1.19 -0.64 -0.41% Transport equipment 8.34% 4.08% -1.08 -0.99 -0.18% Electric machinery 7.64% 4.37% -0.98 -0.62 -0.20% Non-elec. machinery Pottery china earthenware Non-ferrous metals 7.04% 3.25% -1.11 -0.63 -0.16% 6.79% 8.00% -0.99 -0.62 -0.32% 5.75% 3.41% -1.08 -1.08 -0.10% Wood products 4.82% 3.57% -1.02 -0.97 -0.09% Industrial chemicals 4.77% 5.20% -1.14 -0.74 -0.17% Furniture 4.36% 4.81% -1.07 -0.97 -0.11% Rubber products 4.28% 4.08% -1.14 -0.61 -0.12% Textiles 3.98% 10.97% -2.1 -0.52 -0.60% Petroleum refineries 3.85% 1.48% -0.78 -1.56 -0.02% Paper 3.84% 1.85% -1.08 -0.39 -0.06% Plastic products 3.80% 8.40% -1.29 -0.62 -0.25% Glass and products 3.66% 7.57% -1.15 -0.61 -0.20% Fabricated metals 2.83% 4.83% -1.12 -1.08 -0.07% Other chemicals 2.75% 3.87% -1.36 -0.74 -0.08% Iron and steel 2.43% 5.09% -1.14 -1.08 -0.07% Beverages Petroleum and coal products Food products Other non-metallic mineral products Printing, publishing 2.24% 6.25% -0.96 -0.61 -0.08% 1.68% 1.75% -0.84 -1.58 -0.01% 1.48% 6.22% -0.82 -0.5 -0.05% 0.84% 4.02% -1.27 -0.61 -0.03% 0.71% 1.81% -1.12 -0.37 -0.01% 4.13% 4.83% -1.10 -0.62 -0.12% Median ed Sources: demand elasticity estimates from Mansur and Whalley (1984); import demand elasticity estimates from Kee, Nicita, and Olarreaga (2004) 33 Table 4: Optimal tariffs in manufacturing industries Industry Other manufactures 5.58% 1992 Optimal tariff 14.72% Footwear 11.72% 18.40% -2.92% 15.48% Apparel Professional and scientific equipment Leather products 13.38% 16.11% -2.14% 13.97% 5.79% 12.60% -1.14% 11.45% 6.75% 7.68% -0.60% 7.07% Transport equipment 4.08% 5.43% -0.29% 5.14% Electric machinery 4.37% 6.33% -0.36% 5.97% Non-elec. machinery 3.25% 5.72% -0.34% 5.38% Pottery china earthenware 8.00% 6.16% -0.32% 5.84% Non-ferrous metals 3.41% 3.49% -0.12% 3.36% Wood products 3.57% 3.13% -0.09% 3.04% Industrial chemicals 5.20% 3.85% -0.15% 3.70% Furniture 4.81% 2.93% -0.08% 2.85% Rubber products 4.08% 3.59% -0.13% 3.46% Textiles 10.97% 5.16% -0.41% 4.75% Petroleum refineries 1.48% 1.75% -0.02% 1.72% Paper 1.85% 3.64% -0.14% 3.50% Plastic products 8.40% 3.71% -0.15% 3.56% Glass and products 7.57% 3.48% -0.12% 3.36% Fabricated metals 4.83% 1.82% -0.03% 1.79% Other chemicals 3.87% 2.16% -0.06% 2.10% Iron and steel 5.09% 1.58% -0.03% 1.55% Beverages Petroleum and coal products Food products Other non-metallic mineral products Printing, publishing 6.25% 1.99% -0.03% 1.95% 1.75% 0.77% 0.00% 0.76% 6.22% 1.43% -0.01% 1.42% 4.02% 0.72% -0.01% 0.71% 1.81% 0.70% -0.01% 0.69% 4.83% 3.59% -0.13% 3.46% Median industry 1992 U.S. tariff rate Estimated effect of optimal tariffs on world price -1.97% Estimated effect of optimal tariffs on U.S. domestic price 12.75% 34 References Bagwell, Kyle and Staiger, Robert, 1999, “An Economic Theory of GATT,” American Economic Review 89 (1), 215 – 248. 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