2 Consider a Specific Factors model with two countries, Home H and Foreign F, three factors of production, labour L, capital K and land T, and two goods, cars c and bread b. The production functions are the same in both countries and given by: 1 Fe(Ke, Le) = K L} and Fr(Lb, Tv) = L}{T}³ Denote the factor prices by r for capital, w for labour and q for land. The price for cars is pc, the price for bread pb. Home's factor endowment is given by KH = 8, LH = 1 and TH = 1, Foreign's factor endowment by KF = 1, LF = 1 and TF = 1. Suppose that relative demand for the goods is the same in both countries: Normalise bread price ie P₁ = PH= P=1 H ¹/x = pt/pc and x/x = Pb/pc. a) Derive autarky equilibrium good and factor prices in both Home and foreign and show that PH

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Chapter13: General Equilibrium And Welfare
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2c

2 Consider a Specific Factors model with two countries, Home H and
Foreign F, three factors of production, labour L, capital K and land
T, and two goods, cars c and bread b. The production functions are
the same in both countries and given by:
Fo(Ke, Le) = K L and Fu(Lb, Ti) = LT.
Denote the factor prices by r for capital, w for labour and q for
land. The price for cars is pc, the price for bread pb. Home's factor
endowment is given by KH = 8, LH = 1 and TH = 1, Foreign's
factor endowment by KF = 1, LF 1 and TF = 1.
Suppose that relative demand for the goods is the same in both
countries:
Normalise bread price ie P₁ = PH= PF=1
H
H
H
H
x²/x = p/p² and ²/x = pi/p².
a) Derive autarky equilibrium good and factor prices in both Home
and foreign and show that PH<PF
b) Now home and foreign start free trade in goods, but not in
factors. Which goof will home export, which good will foreign
export? Will capital owners, landowners and workers be better
or worse off in home with trade? Explain
c) Suppose a natural disaster causes 7/8 of the land in foreign to
unsuitable for production, ie Foreign's land endowment
decreases by 7/8, while all other parameters remain
unchanged. What are the trade flows in the new equilibrium
with free trade in goods? Which factor owners will strictly
benefit?
Transcribed Image Text:2 Consider a Specific Factors model with two countries, Home H and Foreign F, three factors of production, labour L, capital K and land T, and two goods, cars c and bread b. The production functions are the same in both countries and given by: Fo(Ke, Le) = K L and Fu(Lb, Ti) = LT. Denote the factor prices by r for capital, w for labour and q for land. The price for cars is pc, the price for bread pb. Home's factor endowment is given by KH = 8, LH = 1 and TH = 1, Foreign's factor endowment by KF = 1, LF 1 and TF = 1. Suppose that relative demand for the goods is the same in both countries: Normalise bread price ie P₁ = PH= PF=1 H H H H x²/x = p/p² and ²/x = pi/p². a) Derive autarky equilibrium good and factor prices in both Home and foreign and show that PH<PF b) Now home and foreign start free trade in goods, but not in factors. Which goof will home export, which good will foreign export? Will capital owners, landowners and workers be better or worse off in home with trade? Explain c) Suppose a natural disaster causes 7/8 of the land in foreign to unsuitable for production, ie Foreign's land endowment decreases by 7/8, while all other parameters remain unchanged. What are the trade flows in the new equilibrium with free trade in goods? Which factor owners will strictly benefit?
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