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Consider a numerical example using the Solow growth model: Given the production technology as Y=F(K,N)=K^0.5 N^0.5,...

Consider a numerical example using the Solow growth model: Given the production technology as Y=F(K,N)=K^0.5 N^0.5, the capital per worker, k=K/N, evolves by (1+n)k’=szf(k)+(1-d)k. Suppose that d=0.1, s=0.2, n=0 and z=1.

(a) Determine the capital per worker(K/N), income per worker(Y/N), and consumption per worker(C/N) in the steady state.

(b) Suppose that z increases into 2. Determine the new steady state. What happens in the capital per worker(K/N), income per worker(Y/N), and consumption per worker(C/N) and why?

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Answer #1

(9) Y = F(K, N) = KN 0.5 0.5 Κ Ν 6.5 0.5 - - KN AM 6.5 -0.5 KN 6.5 ja (15or (0) = S.2(Y) = 6.k 0.2X1 XK = olk 0.5 0.5 K = 2 l

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