Harrod-Domar Growth Model. Given the following equations: Y = F(K) S = sY I = AK %3D %3D c = K/y C = S = I a. Assuming that the marginal product of capital is constant and that the production function exhibits constant returns to scale (CRTS), show mathematically how the net savings rate and the capital-output ratio affect the GDP growth rate as predicted by the model. b. Based on your answer in (a), what should a country do in order to achieve economic growth? Explain. c. Given a net savings rate equal to 5% and a capital-output ratio equal to 2, calculate the predicted GDP growth rate.

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Harrod-Domar Growth Model. Given the following equations:
Y = F(K)
S = sY
I = AK
%3D
c =
= K/y
S = I
a. Assuming that the marginal product of capital is constant and that the production
function exhibits constant returns to scale (CRTS), show mathematically how the net
savings rate and the capital-output ratio affect the GDP growth rate as predicted by
the model.
b. Based on your answer in (a), what should a country do in order to achieve economic
growth? Explain.
c. Given a net savings rate equal to 5% and a capital-output ratio equal to 2, calculate
the predicted GDP growth rate.
Transcribed Image Text:Harrod-Domar Growth Model. Given the following equations: Y = F(K) S = sY I = AK %3D c = = K/y S = I a. Assuming that the marginal product of capital is constant and that the production function exhibits constant returns to scale (CRTS), show mathematically how the net savings rate and the capital-output ratio affect the GDP growth rate as predicted by the model. b. Based on your answer in (a), what should a country do in order to achieve economic growth? Explain. c. Given a net savings rate equal to 5% and a capital-output ratio equal to 2, calculate the predicted GDP growth rate.
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