3. Consider a society of identical individuals who live for two periods. They have the following utility: 3 In co +In c₁ Each individual earns $600 when young, in period 0, and no income in period 1, when old. They can borrow and lend at interest rate r, and the price of consumption is 1. (a) Write down this individual's lifetime budget constraint (b) Solve for this individual's consumption in period, and savings, as a function of r. (c) Suppose now that there is a Social Security program. The gov- ernment collects $ 60 from this individual in period 0, and gives it back with interest r in period 1. i. What kind of social security system is this? ii. What is the new amount of savings? iii. What is the impact of this program on the individual's wel- fare?

3. Consider a society of identical individuals who live for two periods. They have the following utility: 3 In co +In c₁ Each individual earns $600 when young, in period 0, and no income in period 1, when old. They can borrow and lend at interest rate r, and the price of consumption is 1. (a) Write down this individual's lifetime budget constraint (b) Solve for this individual's consumption in period, and savings, as a function of r. (c) Suppose now that there is a Social Security program. The gov- ernment collects $ 60 from this individual in period 0, and gives it back with interest r in period 1. i. What kind of social security system is this? ii. What is the new amount of savings? iii. What is the impact of this program on the individual's wel- fare?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter17: Capital And Time

Section: Chapter Questions

Problem 17.8P

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