Question: Consider two countries, A and B, in which the economy is described by the Solow growth model, with the same Cobb-Douglas production function in y=k^

Consider two countries, A and B, in which the economy is described by the Solow growth model, with the same Cobb-Douglas production function in y=k^ L^(1-) both countries. Assume that = 1/3 . There is no technological progress. In country A, the capital depreciation rate (A) is 10%, the population growth rate (nA) is 1%, and the savings rate (sA) is 15%. In country B, the capital depreciation rate (B) is 5%, the population growth rate (nB) is 2%, and the savings rate (sB) is 30%.

(a) Compute the ratio of the steady state outputs per worker in the two countries

(b) Compute the ratio of the steady state wages in the two countries

(c) Compute the ratio of the steady state consumption per worker in the two countries

(d) Is there a savings rate in country A that would make the steady state output per worker in that country the same as that in country B?

(f) Is there a savings rate in country A that would make both the output per worker and consumption per worker the same as those in country B?

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