Question

*** working with theory of Import tariffs

Consider a large country applying a tariff t to imports of a good.

(a) Draw the Home market and World market supply-demand diagram. Clearly label the amount of import in the free trade equilibrium and equilibrium with a tariff.

(b) How does the export supply curve in world market compare with that in the small country case? Explain briefly why they are different.

(c) Explain how the tariff affects the price paid by consumers in the importing country and the price received by producers in the exporting country. Use graphs to illustrate how the prices are affected if (1) the export supply curve is very elastic(flat) or (2) the export supply curve is inelastic (steep).

(d) Other things held constant, under the two cases discussed in part(c), which case will the Home country have a larger TOT gain and smaller DWL? Explain the intuition briefly using the interpretation of elasticity

Answer 1

Demand and Supply Analysis of International Trade

The theories of comparative advantage and absolute advantage show us that there are overall gains from trade. Trade does have distributional impacts however. These distributional impacts are easier to see if one was to represent free trade in a standard demand and supply framework.

Consider two countries, Brazil and the United States, who produce sugar. Each country has a domestic supply and demand for sugar, as detailed in Table 1 and illustrated in Figure 2. In Brazil, without trade, the equilibrium price of sugar is 12 cents per pound and the equilibrium output is 30 tons. When there is no trade in the United States, the equilibrium price of sugar is 24 cents per pound and the equilibrium quantity is 80 tons. These equilibrium points are labeled with the point E. Notice that in this set-up, Brazil is the low-cost provider of sugar and has the cost-advantage.

Table 1. The Sugar Trade between Brazil and the United States

Price	Brazil: Quantity Supplied (tons)	Brazil: Quantity Demanded (tons)	U.S.: Quantity Supplied (tons)	U.S.: Quantity Demanded (tons)
8 cents	20	35	60	100
12 cents	30	30	66	93
14 cents	35	28	69	90
16 cents	40	25	72	87
20 cents	45	21	76	83
24 cents	50	18	80	80
28 cents	55	15	82	78

Figure 2. Free trade results in gains from trade. Total surplus increases in both countries. However, there are clear income distribution effects.

If international trade between Brazil and the United States now becomes possible, profit-seeking firms will spot an opportunity: buy sugar cheaply in Brazil, and sell it at a higher price in the United States. As sugar is shipped from Brazil to the United States, the quantity of sugar produced in Brazil will be greater than Brazilian consumption (with the extra production being exported), and the amount produced in the United States will be less than the amount of U.S. consumption (with the extra consumption being imported). Exports to the United States will reduce the supply of sugar in Brazil, raising its price. Imports into the United States will increase the supply of sugar, lowering its price. When the price of sugar is the same in both countries, there is no incentive to trade further. As Figure 34.2 shows, the equilibrium with trade occurs at a price of 16 cents per pound. At that price, the sugar farmers of Brazil supply a quantity of 40 tons, while the consumers of Brazil buy only 25 tons.

The extra 15 tons of sugar production, shown by the horizontal gap between the demand curve and the supply curve in Brazil, is exported to the United States. In the United States, at a price of 16 cents, the farmers produce a quantity of 72 tons and consumers demand a quantity of 87 tons. The excess demand of 15 tons by American consumers, shown by the horizontal gap between demand and domestic supply at the price of 16 cents, is supplied by imported sugar.

Free trade typically results in income distribution effects, but the key is to recognize the overall gains from trade, as shown in Figure 34.3. Building on the concepts outlined in Demand and Supply and Demand, Supply, and Efficiency (http://cnx.org/content/m48832/latest/) in terms of consumer and producer surplus, Figure 34.3 (a) shows that producers in Brazil gain by selling more sugar at a higher price, while Figure 34.3 (b) shows consumers in the United States benefit from the lower price and greater availability of sugar. Consumers in Brazil are worse off (compare their no- trade consumer surplus with the free-trade consumer surplus) and U.S. producers of sugar are worse off. There are gains from trade—an increase in social surplus in each country. That is, both the United States and Brazil are better off than they would be without trade.

Figure 3. When there is free trade, the equilibrium is at point A. When there is no trade, the equilibrium is at point E.

The fact that there are distributional consequences to trade is exactly the reason why workers and business lobby government for trade restrictions and protectionist regulations.