Suppose there are 2 countries, A and B, which only differ in their capital depreciation rates A OB. The production function of both countries is y = AK0,2 a) Construct a ratio to compare the steady state production between the two countries. Consider n>0 b) Consider that $4 = 0,1; dß = 0,05; n₁ = ng = 0,05. Interpret the above ratio. c) Assume that country A is an economy with the following parameters: A = 2; n₁ = 0,05; Y₁ = 0,2; 8₁ = 0,1 Find the level of capital and product per worker in periods 2 and 3, considering that in period 1 the capital per worker is 2. Approximate to 2 decimal places. d) What would happen to the steady state levels of country A if it raises its saving rate to YA > YA? Interpret and plot

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Course: Macroeconomics - Solow Growth Model

 

Suppose there are 2 countries, A and B, which only differ in their capital depreciation rates °A 7 °B The production function of both countries is
y = AKº,2
a) Construct a ratio to compare the steady state production between the two countries. Consider n > 0
b) Consider that A = 0, 1; dB = 0, 05; n A = NB = 0, 05. Interpret the above ratio.
c) Assume that country A is an economy with the following parameters: AA = 2; n4 = 0,05; YA = 0, 2; 8 A = 0, 1
Find the level of capital and product per worker in periods 2 and 3, considering that in period 1 the capital per worker is 2. Approximate to 2 decimal
places.
d) What would happen to the steady state levels of country A if it raises its saving rate to
YA >YA? Interpret and plot
Transcribed Image Text:Suppose there are 2 countries, A and B, which only differ in their capital depreciation rates °A 7 °B The production function of both countries is y = AKº,2 a) Construct a ratio to compare the steady state production between the two countries. Consider n > 0 b) Consider that A = 0, 1; dB = 0, 05; n A = NB = 0, 05. Interpret the above ratio. c) Assume that country A is an economy with the following parameters: AA = 2; n4 = 0,05; YA = 0, 2; 8 A = 0, 1 Find the level of capital and product per worker in periods 2 and 3, considering that in period 1 the capital per worker is 2. Approximate to 2 decimal places. d) What would happen to the steady state levels of country A if it raises its saving rate to YA >YA? Interpret and plot
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