a) Write down the government budget constraint. b) Derive the lifetime budget set. c) Does this social security system increase the wealth of future generations? Explain.

Economics: Private and Public Choice (MindTap Course List)
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ISBN:9781305506725
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
Chapter28: Income Inequality And Poverty
Section: Chapter Questions
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Consider a social security system which taxes the young a tax ? in period t to pay the old a
subsidy ? in the same period. The rate of growth of population is n>1 and the real interest is r.
a) Write down the government budget constraint.
b) Derive the lifetime budget set.
c) Does this social security system increase the wealth of future generations? Explain. 

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