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

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.3P
icon
Related questions
Question
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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Investments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage