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Piketty (2014) argues that a fall in the growth rate of the economy is likely to lead to an increase in the difference between the real interest rate and the growth rate. This problem asks you to investigate this

Piketty (2014) argues that a fall in the growth rate of the economy is likely to lead to an increase in the difference between the real interest rate and the growth rate. This problem asks you to investigate this

Macroeconomics: Private and Public Choice (MindTap Course List)
Macroeconomics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506756
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
ChapterST4: Keynes And Hayek: Contrasting Views On Sound Economics And The Role Of Government
Section: Chapter Questions
Problem 3CQ
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Piketty (2014) argues that a fall in the growth rate of the economy is likely to lead to an increase in the difference between the real interest rate and the growth rate. This problem asks you to investigate this issue in the context of the Ramsey Cass Koopmans model. Specifically, consider a Ramsey Cass Koopmans economy that is on its balanced growth path, and suppose there is a permanent fall in g. (a) How, if at all, does this affect the k = 0 curve? (b) How, if at all, does this affect the c = 0 curve? (c) At the time of the change, does c rise, fall, or stay the same, or is it not possible to tell? (d) At the time of the change, does r- g rise, fall, or stay the same, or is it not possible to tell?
Transcribed Image Text:Piketty (2014) argues that a fall in the growth rate of the economy is likely to lead to an increase in the difference between the real interest rate and the growth rate. This problem asks you to investigate this issue in the context of the Ramsey Cass Koopmans model. Specifically, consider a Ramsey Cass Koopmans economy that is on its balanced growth path, and suppose there is a permanent fall in g. (a) How, if at all, does this affect the k = 0 curve? (b) How, if at all, does this affect the c = 0 curve? (c) At the time of the change, does c rise, fall, or stay the same, or is it not possible to tell? (d) At the time of the change, does r- g rise, fall, or stay the same, or is it not possible to tell?
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