Consider a two-period, small open economy with endowments on tradable and nontradable goods. The representative household has lifetime utility U(CT1CN1, Cr2CN2) = log C₁₁ +log C1 + Blog Cr2+ Blog CN2 N1 Endowments are 21 22=5 and Qr₁=2.5, Qr2 = 7.5. interest rate is r* = 0.04 and the discount factor is 3=1/1.04 = 0.9615. = Initial NFA is zero. The world a. Compute equilibrium consumption of both goods, the trade balance, and the real exchange rate in both periods. b. Suppose that after the household chooses how much to borrow/save in period 0, the world interest rate rises to r=0.10. Recompute the equilibrium variables for period 2, and compute the difference between lifetime utility between this scenario and the scenario in part 1.

Microeconomic Theory
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Chapter7: Uncertainty
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Consider a two-period, small open economy with endowments on tradable and nontradable
goods. The representative household has lifetime utility
U(C1, C1, C2, CN₂) = log C₁₁ +log C₁₁ + Blog Cr2+ Blog CN2
T1
N1
T2
Initial NFA is zero. The world
Endowments are Q₁=2N₂=5 and Qr₁=2.5, QT2 = 7.5.
interest rate is r* = 0.04 and the discount factor is 3 =1/1.04 = 0.9615.
a. Compute equilibrium consumption of both goods, the trade balance, and the real exchange
rate in both periods.
b. Suppose that after the household chooses how much to borrow/save in period 0, the world
interest rate rises to r=0.10. Recompute the equilibrium variables for period 2, and
compute the difference between lifetime utility between this scenario and the scenario in part
1.
Transcribed Image Text:Consider a two-period, small open economy with endowments on tradable and nontradable goods. The representative household has lifetime utility U(C1, C1, C2, CN₂) = log C₁₁ +log C₁₁ + Blog Cr2+ Blog CN2 T1 N1 T2 Initial NFA is zero. The world Endowments are Q₁=2N₂=5 and Qr₁=2.5, QT2 = 7.5. interest rate is r* = 0.04 and the discount factor is 3 =1/1.04 = 0.9615. a. Compute equilibrium consumption of both goods, the trade balance, and the real exchange rate in both periods. b. Suppose that after the household chooses how much to borrow/save in period 0, the world interest rate rises to r=0.10. Recompute the equilibrium variables for period 2, and compute the difference between lifetime utility between this scenario and the scenario in part 1.
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