Home Work 1 - Fall 2023 - Answer Key
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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.
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Related Questions
Consider the following Ricardian model with 2 countries and 2 goods. The table below provides
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India
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60
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350
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Juice
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Tea
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France
5
8
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2
4
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Fermany produces
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once
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1.
Good2
II.
II.
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need to provide conditions in each country by stating:
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Gamma production possibilities:
A
B
C
D
E
Tea
120
90
60
30
0
Pots
0
30
60
90
120
Sigma production possibilities:
A
B
C
D
E
Tea
40
30
20
10
0
Pots
0
30
60
90
120
What are the limits of the terms of trade between Gamma and Sigma?
1 tea=2 pots to 1 tea=6 pots
1 tea=3 pots to 1 tea=6 pots
1 tea=2 pots to 1 tea=3.5 pots
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a. U.S. in corn; Mexico in scarves
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c. Mexico in corn; Mexico in scarves
d. U.S. in corn; U.S. in scarves
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Panama
Guatemala
Passion fruits
9
4
Соconuts
6.
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your answer and explain why both countries are better off after trade.
illustrate
d) Draw the world supply curve of coconuts.
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Labor Hours Number of Units
Needed to Make Produced in 24
1 Unit of
Hours
Cheese Bread Cheese Bread
England2
Spain 3
3
12
8
8
4
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Matrix A
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Cloth (yards/labor hour)
United States
6
4
U.K.
1
3
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60
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Тea
2 workers 5 workers
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B
I
U Av 2
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Almonds
Shorts
(Pounds per hour of labor)
(Pairs per hour of labor)
Denali
6
12
Congaree
4
16
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11
Let us assume that the world is composed of only two countries - let us call therrreg. Quaura
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some basic information on their production functions (see the table) and we assume that this
world behaves exactly as predicted by the traditional Ricardian trade model.
10
t of
Finish
astion
Units of labour
Units of labour
per 1 bicycle
per 1 computer
Alemania
15
Quadia
2.
16
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function that we have used previously, i.e. that they want to buy 1 bicycle per one computer.
We also know that Quadia has 3600 units of labour in total. If the two countries start trading,
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Which of the following options correctly describes the autarky and free trade production and
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Production Techniques:
Units of labour hour required per unit output
Tandom
Futland
Bicycles
90 hours
120 hours
Boots
30 hours
50 hours
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Production Techniques:
Units of labour hour required per unit output
Tandom
Futland
Bicycles
90 hours
120 hours
Boots
30 hours
50 hours
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For this situation,
1- Which country has an absolute advantage in producing cars?
2- Provide a construction of the production possibilities frontier for each country.
3- Construct the opportunity cost table for both countries.
4- Conclude which country has a comparative advantage in which product and how international trade makes each country better off.
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Case Study1.
Assume that the continent of Mainland has only two countries, Alpha and Beta, which
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and 1.4 hours to Beta. On the other side, each ton of peanut costs 1.68 hours to Alpha and 4.2
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with peanuts on the x-axis.
b. Assume that each country decides to use half of its resources in the production of
each good. Show these points on the graphs for each country as point A.
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Each country has an absolute advantage.
Allowing for international trade, the production of 100 apples and 20 bananas can occur in a global market equilibrium, but not in a market equilibria under autarky.
Country A will produce apples, with or without international trade.
Under autarky, the relative price for apples (price for apples/price for bananas) equals 0.4 in country A and 0.25 in country B.
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