Question 2: Consider a consumer who lives for two periods. The consumer's current- period income is y, future-period income is y' and y> y'. The consumer considers the current- period consumption (c) and future-period consumption (c') to be perfect complements. The consumer also likes to perfectly smooth consumption over time, i.e. c = c'. The consumer faces a borrowing rate (TB) that is higher than the lending rate (r). There is no limits on borrowing or lending. 1. Draw a diagram with c on horizontal axis and c' on vertical axis. Draw the consumer's budget constraint and indifference curves. Show the equilibrium. Is the consumer a borrower on a lender? Briefly explain. 2. The government introduces fully-funded social security. The consumer is required to contribute t to the consumer's social security account with the government. The gov- +(1 m) TL

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Question 2: Consider a consumer who lives for two periods. The consumer's current-
period income is y, future-period income is y' and y> y'. The consumer considers the current-
period consumption (c) and future-period consumption (c') to be perfect complements. The
consumer also likes to perfectly smooth consumption over time, i.e. c = c'. The consumer
faces a borrowing rate (r) that is higher than the lending rate (r). There is no limits on
borrowing or lending.
1. Draw a diagram with c on horizontal axis and c' on vertical axis. Draw the consumer's
budget constraint and indifference curves. Show the equilibrium. Is the consumer a
borrower on a lender? Briefly explain.
2. The government introduces fully-funded social security. The consumer is required to
contribute t to the consumer's social security account with the government. The gov-
ernment promises to pay b in benefits in the next period, where b = t(1+r). The
size of the social security contributions is such that y − t <y' + b. In a new diagram,
compare the equilibria before and after the introduction of fully-funded social secu-
rity. Briefly explain the effect of the introduction of social security on the consumer's
welfare?
3. Now consider another fully-funded social security scenario. In this scenario, b = t(1 +
TB). Everything else is the same as in part (2) above. In a new diagram, compare
the equilibria before and after the introduction of fully-funded social security. Briefly
explain the effect of the introduction of social security on the consumer's welfare?
Transcribed Image Text:Question 2: Consider a consumer who lives for two periods. The consumer's current- period income is y, future-period income is y' and y> y'. The consumer considers the current- period consumption (c) and future-period consumption (c') to be perfect complements. The consumer also likes to perfectly smooth consumption over time, i.e. c = c'. The consumer faces a borrowing rate (r) that is higher than the lending rate (r). There is no limits on borrowing or lending. 1. Draw a diagram with c on horizontal axis and c' on vertical axis. Draw the consumer's budget constraint and indifference curves. Show the equilibrium. Is the consumer a borrower on a lender? Briefly explain. 2. The government introduces fully-funded social security. The consumer is required to contribute t to the consumer's social security account with the government. The gov- ernment promises to pay b in benefits in the next period, where b = t(1+r). The size of the social security contributions is such that y − t <y' + b. In a new diagram, compare the equilibria before and after the introduction of fully-funded social secu- rity. Briefly explain the effect of the introduction of social security on the consumer's welfare? 3. Now consider another fully-funded social security scenario. In this scenario, b = t(1 + TB). Everything else is the same as in part (2) above. In a new diagram, compare the equilibria before and after the introduction of fully-funded social security. Briefly explain the effect of the introduction of social security on the consumer's welfare?
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