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A solution key for a midterm exam on international trade theory. It covers topics such as adam smith's perspective on navigation acts, producer efficiency, and comparative advantage in the context of the ricardian model. The document also includes an analysis of the united states and india's production and trade in clothing and machines using the ricardian model.
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Name:___ Solution Key ____ SSII 2008, 160A Midterm Professor Farshid Mojaver I. General Questions on International Trade Theory [3 points each, 15 points total] 1) [3 pts] Why Adam Smith supports the act of Navigation despite his own admission that that the act reduces trade and the opulence of all countries including Grate Britain? Because “defense” is “much more important that opulence”.”. 3) How can international trade improve producer efficiency? International trade allows countries to increase production because of better allocation of resources. Better allocation of resources is the source of producer efficiency in IT. 4) How can a developed country compete against low foreign wage countries? While it is true that in developed economies wage rates are higher but labor requirement is lower due to higher overall productivity in those economies. In the sectors in which the productivity advantage outweighs the wage disadvantage the high wage economy can complete against a low wage economy. 5) Make an argument to show that a domestic firm may lose out in international competition even if it is the most productive producer in the world. A domestic firm that has the highest productivity in the world may lose out in international trade because there might be firms with even higher productivity in that country that drive the average wages higher (i.e, US might have the most productive apparel industry in the world but even higher productivity in wheat production drives the wages high so that it is not cost effective produce apparel in US). 7) Why in the Ricardian model unlike the HO model international trade leads to complete specialization? Because by assumption the opportunity cost production is constant (PPF is a straight line) in the Ricardian model whereas in HO the opportunity cost is increasing.
II-The Ricardian Model of Trade [21 points, parts 3 pts each] The United States has 200 units of labor, while there are 1600 units of labor in India. When they produce, they have the following unit labor requirements. ULR (hr/unit of output) Clothing Machines____Labor Endowment U.S. 2 1 200 India 5 10 1600 1) Which country has absolute advantage in the production of clothing and why? What about machines? U.S has absolute advantage in both machines and clothing because its labor productivities are larger than India in both sectors. 2) In absence of trade, what is the opportunity cost of clothing (in terms of machines) in US and what does it measure? What is the opportunity cost of clothing in India? U.S India OC of Clothing (in terms of machines) aLC/aLM bLC/bLM 2/1 = 2 5/10 = 0. OC of clothing in US is 2 machines that is, US has to give up one machine for each unit of cloth production. 3) What is the comparative advantage of India and why? India has Comparative Advantage in Clothing production because her opportunity cost of clothing is lower than that in United States 4) What is the relative price of clothing in each country before trade? Autarky PC/PM in U.S = 2 Autarky PC/PM in China = 0. 5) Draw a graph showing production possibility frontier of U.S. and China. Have Clothing production of the horizontal axis and machines on the Vertical axis. 6) If world price of shirts to Machines were 1 what would be the world production of Machines and Clothing? Which country would produce each? India produces 1600/5 = 320 units of Clothing and exports its excess supply. U.S. produces 200/1 = 200 and exports its excess supply.
India Unites States LM /aLC = 200/1= 200 100
aLC/aLM = 2 b LC/bLM = 0. LCh /bLC = 1600/5= 320
At (PC/PS) < (PC/PS)W^ < PC/PS capital abundant Home exports capital intensive computer and Labor abundant Foreign exports Labor intensive shoes.
2. [9 points] Testing HO Model i. What does "Leontieff Paradox" refer to? That contrary to the prediction HO theory, capital-labor ratio content of U.S. imports is larger than that in its exports. U.S. exports labor intensive goods and imports capital-intensive products. iii. How does the sign test perform using many countries and many factors of production? Does this resolve the Paradox? Combining all the countries, the sign test is successful in exactly one-half of the cases (passing for 4.5 factors out of nine). So from this extensive study of the Heckscher-Ohlin model with multiple factors, goods and countries, it is shown to perform quite poorly when confronted with real-world facts and figures. iv. What is the final verdict on the HO theory? The test of HO model does not do well unless we drop the assumption of equal technology. Once we allow for difference in technology (by adjusting factor share by its effectiveness) the paradox disappears and nearly two third of effective factors pass the sign test. 3- State and prove Stolper-Samuelson Theorem using the Lerner Diagram [8 pts]
A Slope = (PC/PS)W (a) Home Country
A* U Slope = (PC/PS)W (b) Foreign Country
The Theorem: An increase in the price of a product will increase the price of the factor used intensively in the production of that product and a reduction in the price of the other factor. In other world if the price of Computer (relative to Shoes) goes up then there will be a rise in capital rentals and a fall in wage rates i.e., if P C /P S ↑=> W/R↓. The proof via the Lerner diagram:
Movement from A to C represents higher production of final good of outsourcing firms in the Home country. This leads to higher GDP, which presumably leads to higher welfare in the home country. 2) Explain the increasing skilled-unskilled wage gap observed in the United States, China and India using outsourcing model. A reduction in cost of capital or transportation lowers the cost of trade, which makes it desirable to shift more activities in the value-chain from Home to Foreign. C (PA/PD)W B (PA/PD) A Developme nt Assembly
a shift of activities from one country to the other can increase the relative demand for skilled labor in both countries which in turn leads to higher wage gap in both countries.