Home Work 1 - Fall 2023 - Answer Key

.pdf

School

McMaster University *

*We aren’t endorsed by this school

Course

3HH3

Subject

Economics

Date

Feb 20, 2024

Type

pdf

Pages

2

Uploaded by AgentTree10003

Econ 3HH3 Fall 2023 Home Assignment #1: Answer Key Problem 1. (10 points.) This problem is based on the Ricardian Model. Assume that 2 countries, Gryffindor and Slytherin, use troll labor to produce 2 goods, magic wands and chocolate frogs. (a) In Slytherin, 1 troll can produce 6 magic wands or 10 chocolate frogs, while in Gryffindor the production of 1 magic wand requires 2 trolls and the production of 1 chocolate frog requires 1 troll. Assume that there are 10 trolls in Slytherin and 20 trolls in Gryffindor. Draw a PPF for each country. Answer: (a) (b) Which country has a comparative advantage in swords and why? Answer: Trade patterns in the Ricardian model depend on the comparative advantage. Since the opportunity cost of magic wands (the slope of the PPF above that is equal to MPL W /MPL F = 10/6 = 5/3) in Slytherin is smaller than that in Gryffindor (MPL* W /MPL* F = 1/0.5 = 2), Slytherin has a comparative advantage in producing magic wands, while Gryffindor has a comparative advantage in producing chocolate frogs. (c) What is the possible maximum relative price of a magic wand in the trade equilibrium? What is its possible minimum price? Answer: the trade price ratio always is between the price ratios of two countries in autarky. Hence, the maximum relative price of a magic wand equals 2 (the autarky price ratio and the opportunity cost of producing magic wands in Gryffindor) and the minimum price is 5/3 ((the autarky price ratio and the opportunity cost of producing magic wands in Slytherin) (d) Suppose that in the trade equilibrium P S /P B = 1.8. Which good will each country export? Answer: Trade patterns in the Ricardian model depend on the comparative advantage. That
is why Slytherin will export magic wands and Gryffindor will export chocolate frogs. (d) For each country, calculate the real wage in terms of magic wands and in terms of chocolate frogs. Answer: Slytherin will produce only magic wands, so its wage in terms of magic wands is its MPL W = 6. To calculate its wage in terms of brooms, we need to know how many chocolate frogs Slytherin' troll can buy given his income: Wage in terms of frogs = w/P F = (P W *MPL W )/P F =(P W /P F )*MPL W =1.8*6 = 10.8 Using the same logic for Gryffindor, its wage in terms of frogs is 1 (MPL* F = 1/1 = 1) and in terms of magic wands = w/P W = (P F *MPL* F )/P W =(P F /P W )*MPL* F =(1/1.8)*1 = 0.56. (e) For each country, compare the values you obtained in part (d) with the real wage in terms of either good in the no-trade equilibrium. Do trolls in each country gain from trade? Answer: In the no-trade equilibrium in each country wages in terms of magic wands and chocolate frogs equal to marginal products of labor in the corresponding sector. In Slytherin wage in terms of wands is 6 and in terms of frogs is 10, so trolls there gain from trade, since in the trade equilibrium their real wage is 6 wands and 10.8 frogs. Similarly, in the no-trade equilibrium in Gryffindor wage in terms of wands is 1/2 = 0.5 and in terms of frogs is 1, so trolls there gain from trade, since in the trade equilibrium their real wage is 0.56 wands and 1 frog.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help