4. [22 points] Consider the extended Ramsey model with government as in Section 4.2 in the lecture notes. Suppose now the government expenditure, g = G/L, is in the form of providing public capital, which enhances the productivity of the private capital, k, so that = f(k,) where f₁(k,ĝ) > 0 and f₁₂ (k,ĝ)>0. (The rest of the model is the same as in the notes.) a) What would be the dynamic equations describing the equilibrium path of the economy? b) Analyze the effect of the government expenditure on the steady state ĉ and ✩ of the economy. Explain with diagram and intuition.

Principles of Economics 2e
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Chapter31: The Impacts Of Government Borrowing
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Problem 22CTQ: Explain why the government might prefer to provide incentives to private firms to do investment or...
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4. [22 points] Consider the extended Ramsey model with government as in Section 4.2 in
the lecture notes. Suppose now the government expenditure, g = G/L, is in the form of
providing public capital, which enhances the productivity of the private capital, k, so
that = f(k,) where f₁(k,ĝ) > 0 and f₁₂ (k,ĝ)>0. (The rest of the model is the
same as in the notes.)
a) What would be the dynamic equations describing the equilibrium path of the economy?
b) Analyze the effect of the government expenditure on the steady state ĉ and ✩ of the
economy. Explain with diagram and intuition.
Transcribed Image Text:4. [22 points] Consider the extended Ramsey model with government as in Section 4.2 in the lecture notes. Suppose now the government expenditure, g = G/L, is in the form of providing public capital, which enhances the productivity of the private capital, k, so that = f(k,) where f₁(k,ĝ) > 0 and f₁₂ (k,ĝ)>0. (The rest of the model is the same as in the notes.) a) What would be the dynamic equations describing the equilibrium path of the economy? b) Analyze the effect of the government expenditure on the steady state ĉ and ✩ of the economy. Explain with diagram and intuition.
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