Assume that in an economy the real interest rate equals r=0.05, the rate of growth of real GDP equals y = 0.03, and the primary deficit-to-GDP ratio equals d=0.03 and is expected to remain constant. a) Write the equation for the dynamics of debt-to-GDP ratio and show the dynamics in a graph. In the case the debt stabilizes, calculate the equilibrium level of debt (as % of GDP). b) What should be the level of the real interest rate (r), to stabilize debt-to-GDP at 150% without change in the primary deficit? Present this situation in a graph.

Principles of Economics 2e
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ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter30: Government Budgets And Fiscal Policy
Section: Chapter Questions
Problem 51P: A government starts off with a total debt of $3.5 billion. In year one, the government runs a...
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Assume that in an economy the real interest rate equals r=0.05, the rate of growth of real GDP equals
y = 0.03, and the primary deficit-to-GDP ratio equals d=0.03 and is expected to remain constant.
a) Write the equation for the dynamics of debt-to-GDP ratio and show the dynamics in a graph. In the
case the debt stabilizes, calculate the equilibrium level of debt (as % of GDP).
b) What should be the level of the real interest rate (r), to stabilize debt-to-GDP at 150% without
change in the primary deficit? Present this situation in a graph.
Transcribed Image Text:Assume that in an economy the real interest rate equals r=0.05, the rate of growth of real GDP equals y = 0.03, and the primary deficit-to-GDP ratio equals d=0.03 and is expected to remain constant. a) Write the equation for the dynamics of debt-to-GDP ratio and show the dynamics in a graph. In the case the debt stabilizes, calculate the equilibrium level of debt (as % of GDP). b) What should be the level of the real interest rate (r), to stabilize debt-to-GDP at 150% without change in the primary deficit? Present this situation in a graph.
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