Consider an ideal global economy consisting of two countries, Home and Foreign, trading with each other. Home country national income model: Y₁ = C₁ + I1,0 + X₁ - M₁ C₁320+ 0.8Y₁ M₁ = 0.2Y₁ Foreign country national income model: Y2 = C2 + 12,0 + X2 - M₂ C2220 +0.7Y2 M₂ = 0.1Y2 With mutual trade, the exports of Home (X₁) are imports for Foreign (M₂), and vice versa. Suppose I1,0 100 and I2,0 = 200. = = a) How would you interpret the expressions for M₁ and M₂? For example, which country relies more on imported commodities? Is this a good or bad thing? b) What conditions should be satisfied so that this global economy is in equilib- rium? c) Find the GDP levels of the two countries (Y₁ and Y₂) by expressing the problem in matrix form where the vector of unknowns is composed of only Y₁ and Y2. d) How much is the trade between them, and what is the trade balance?

ENGR.ECONOMIC ANALYSIS
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Consider an ideal global economy consisting of two countries, Home and Foreign,
trading with each other.
Home country national income model:
Y₁ = C₁ + 11,0 + X₁ - M₁
C₁320+ 0.8Y₁
M₁ = 0.2Y₁
Foreign country national income model:
Y2 C2 + I2,0 + X2 - M2
C₂220+ 0.7Y2
M₂ = 0.1Y2
With mutual trade, the exports of Home (X₁) are imports for Foreign (M₂), and
vice versa. Suppose I1,0 = 100 and 12,0 = 200.
a) How would you interpret the expressions for M₁ and M₂? For example, which
country relies more on imported commodities? Is this a good or bad thing?
b) What conditions should be satisfied so that this global economy is in equilib-
rium?
c) Find the GDP levels of the two countries (Y₁ and Y₂) by expressing the
problem in matrix form where the vector of unknowns is composed of only Y₁
and Y2.
d) How much is the trade between them, and what is the trade balance?
xitient guiwall
oriol
10-19
Transcribed Image Text:Consider an ideal global economy consisting of two countries, Home and Foreign, trading with each other. Home country national income model: Y₁ = C₁ + 11,0 + X₁ - M₁ C₁320+ 0.8Y₁ M₁ = 0.2Y₁ Foreign country national income model: Y2 C2 + I2,0 + X2 - M2 C₂220+ 0.7Y2 M₂ = 0.1Y2 With mutual trade, the exports of Home (X₁) are imports for Foreign (M₂), and vice versa. Suppose I1,0 = 100 and 12,0 = 200. a) How would you interpret the expressions for M₁ and M₂? For example, which country relies more on imported commodities? Is this a good or bad thing? b) What conditions should be satisfied so that this global economy is in equilib- rium? c) Find the GDP levels of the two countries (Y₁ and Y₂) by expressing the problem in matrix form where the vector of unknowns is composed of only Y₁ and Y2. d) How much is the trade between them, and what is the trade balance? xitient guiwall oriol 10-19
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