Question: Two countries, Alpha and Beta, have the same Cobb-Douglas production function: y = K0.3( LE) 0.7. Suppose the Solow growth model with population growth and

 Two countries, Alpha and Beta, have the same Cobb-Douglas production function:

y = K0.3( LE) 0.7. Suppose the Solow growth model with population

Two countries, Alpha and Beta, have the same Cobb-Douglas production function: y = K0.3( LE) 0.7. Suppose the Solow growth model with population growth and technological progress describes both economies. The parameters of the two economies are indicated in the table below. Alpha Beta Saving rate (s) 20% 20% Depreciation rate (S) 5% 10% Population growth rate (n) 3% 8% Rate of technological progress (g) 2% 3% Based on the above information, answer the following questions. a. In which country will the Golden Rule level of capital per effective worker be higher? Briefly explain your answer. (Note: No calculations are required). (2 marks) b. Which country will have the higher Golden Rule saving rate? (Note: No calculations are required). (1 mark) c. Suppose the saving rate of Alpha increases to 25%. What will happen to the steady-state level of income per effective worker in response to the saving rate change? (Note: No calculations are required). (1 mark)

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