Consider the Specific Factors model with two countries, Home and Foreign, with two goods, cloth (c) and food (f), and three factors, capital K, labour L and land T. The production functions are given by Fe(Ke, Le) = K² L² and Fƒ(Lƒ,Tƒ) = L}T}. = = 1 and LF = That is, capital is specific to cloths and land to food. Suppose that the countries' factor endowments are KH 1 = KF, LH 1, and TH = 1 and TF = 1/2, so that the total labour force is 1 in both countries. The price of capital is denoted by r, the price of land by q and the price of labour by w. Denote the goods' 1 for simplicity. prices by pe and and normalise pf Pf, = The domand buntmu a U Din ma

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Chapter1: Making Economics Decisions
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Consider the Specific Factors model with two countries, Home and Foreign, with two
goods, cloth (c) and food (f), and three factors, capital K, labour L and land T.
The production functions are given by
1 1
Fc(Kc, Lc) = K² Lễ and Fƒ(Lƒ,Tƒ) = L
=
=
That is, capital is specific to cloths and land to food. Suppose that the countries'
factor endowments are KH : 1 = KF, LH
= 1 and LF
1, and TH 1 and
TF = 1/2, so that the total labour force is 1 in both countries. The price of capital is
denoted by r,
the price of land by q and the price of labour by w. Denote the goods'
prices by pc and pƒ, and normalise pf = 1 for simplicity.
The demand for cloth and food in country j = H, F is given by x and r
lyj
lyj
x²
and x
2 pc
2 p
where YJ denotes aggregate income in country j.
(a) Draw or compute the PPFs of Home and Foreign.
(b) Derive the autarky equilibrium in Home, showing that L = L and r² = qH.
(c) Compute the autarky equilibrium in Foreign and compare equilibrium prices in
Home and in Foreign. Explain.
(d) With free trade in both goods c and f, which good will Home export, and will
capital owners, land owners and workers each be better off? Explain or compute.
=
=
Transcribed Image Text:Consider the Specific Factors model with two countries, Home and Foreign, with two goods, cloth (c) and food (f), and three factors, capital K, labour L and land T. The production functions are given by 1 1 Fc(Kc, Lc) = K² Lễ and Fƒ(Lƒ,Tƒ) = L = = That is, capital is specific to cloths and land to food. Suppose that the countries' factor endowments are KH : 1 = KF, LH = 1 and LF 1, and TH 1 and TF = 1/2, so that the total labour force is 1 in both countries. The price of capital is denoted by r, the price of land by q and the price of labour by w. Denote the goods' prices by pc and pƒ, and normalise pf = 1 for simplicity. The demand for cloth and food in country j = H, F is given by x and r lyj lyj x² and x 2 pc 2 p where YJ denotes aggregate income in country j. (a) Draw or compute the PPFs of Home and Foreign. (b) Derive the autarky equilibrium in Home, showing that L = L and r² = qH. (c) Compute the autarky equilibrium in Foreign and compare equilibrium prices in Home and in Foreign. Explain. (d) With free trade in both goods c and f, which good will Home export, and will capital owners, land owners and workers each be better off? Explain or compute. = =
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