utility subject to the budget constraint it faces, i.e., max U = In C₁ +0.7 In C₂ such that C₁ + B₂ = 700 C₂ = 700 + (1 + r) B₂. Suppose that the autarky (without trade) interest rate r = 0.04 and the world interest rate, or the world equilibrium interest rate r = 0.03.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Home maximizes its lifetime discounted utility subject to the budget constraint it faces, i.e.,
max U = In C₁ + 0.7 In C₂
such that
C₁ + B₂ = 700
C₂ = 700 + (1+r) B₂.
Suppose that the autarky (without trade) interest rate r = 0.04 and the world interest rate, or the world equilibrium interest
rate r = 0.03.
In autarky, consumption in period 1 equals (1)
and consumption in period 2 equals (2)
With trade, consumption in period 1 equals (3)
while consumption in period 2 equals (4)
Since
the autarky interest rate is (5)
than the world interest rate, the relative price of period 1 consumption in autarky
will be (6)
than its price with trade. In line with the Principle of Comparative Advantage, the domestic economy
in period 1 and (8)
in period 2. The first-period current account balance is (9)
will (7)
while the second-period current account balance is (10)
Now suppose that both period 1 and 2 incomes decrease by 100. Period 1 consumption will now equal (11)
while period 2 consumption will equal (12)
The new first-period current account balance is (13)
17 while the new second-period current account balance is (14)
Transcribed Image Text:Home maximizes its lifetime discounted utility subject to the budget constraint it faces, i.e., max U = In C₁ + 0.7 In C₂ such that C₁ + B₂ = 700 C₂ = 700 + (1+r) B₂. Suppose that the autarky (without trade) interest rate r = 0.04 and the world interest rate, or the world equilibrium interest rate r = 0.03. In autarky, consumption in period 1 equals (1) and consumption in period 2 equals (2) With trade, consumption in period 1 equals (3) while consumption in period 2 equals (4) Since the autarky interest rate is (5) than the world interest rate, the relative price of period 1 consumption in autarky will be (6) than its price with trade. In line with the Principle of Comparative Advantage, the domestic economy in period 1 and (8) in period 2. The first-period current account balance is (9) will (7) while the second-period current account balance is (10) Now suppose that both period 1 and 2 incomes decrease by 100. Period 1 consumption will now equal (11) while period 2 consumption will equal (12) The new first-period current account balance is (13) 17 while the new second-period current account balance is (14)
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