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Can you help me with question B please = 3. Consider a Solow model where population growth declines with the level of income per capita.

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Can you help me with question B please

= 3. Consider a Solow model where population growth declines with the level of income per capita. Specifically there is a certain level of income per capita, 7,- (K,), such that when income is below that level population grows at a rate n=n, and when income per capital is equal or larger to that level the rate of population growth falls to n=n,. Formally Y. n=n, Y, >n=n2 n 1 a) Given that the evolution of the aggregate capital stock is given by K(t+1)=(1-8)K(t)+s' (t) derive the evolution of per capita capital as a function of n. b) Derive the evolution of the change in per capita capital, AK (t) = K(t+1) -K; (t) = 3. Consider a Solow model where population growth declines with the level of income per capita. Specifically there is a certain level of income per capita, 7,- (K,), such that when income is below that level population grows at a rate n=n, and when income per capital is equal or larger to that level the rate of population growth falls to n=n,. Formally Y. n=n, Y, >n=n2 n 1 a) Given that the evolution of the aggregate capital stock is given by K(t+1)=(1-8)K(t)+s' (t) derive the evolution of per capita capital as a function of n. b) Derive the evolution of the change in per capita capital, AK (t) = K(t+1) -K; (t)

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