Question 3: Consider the two-period model. The consumer has an asset, which is worth 4 in the current period. The current and future incomes are y and y'. There are no taxes. The maximum amount that the consumer can borrow in the current period is A. The market nterest rate is r and the consumer's asset will be worth (1 + r) A in the future period. The consumer's indifference curves are linear with slope steeper than 1+r. 1. Illustrate the consumer's budget constraint and equilibrium in a graph with current consumption (c) on x axis and future consumption (c) on y axis. Clearly mark the consumer's endowment point (y, y').

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.13P
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Question 3: Consider the two-period model. The consumer has an asset, which is worth
A in the current period. The current and future incomes are y and y'. There are no taxes.
The maximum amount that the consumer can borrow in the current period is A. The market
interest rate is r and the consumer's asset will be worth (1 + r) A in the future period. The
consumer's indifference curves are linear with slope steeper than 1+r.
1. Illustrate the consumer's budget constraint and equilibrium in a graph with current
consumption (c) on x axis and future consumption (c') on y axis. Clearly mark the
consumer's endowment point (y, y').
2
2. Suppose the current-period value of the consumer's asset doubles to 2A. Illustrate the
consumer's new budget constraint and equilibrium in the same graph. Explain your
answer.
Transcribed Image Text:Question 3: Consider the two-period model. The consumer has an asset, which is worth A in the current period. The current and future incomes are y and y'. There are no taxes. The maximum amount that the consumer can borrow in the current period is A. The market interest rate is r and the consumer's asset will be worth (1 + r) A in the future period. The consumer's indifference curves are linear with slope steeper than 1+r. 1. Illustrate the consumer's budget constraint and equilibrium in a graph with current consumption (c) on x axis and future consumption (c') on y axis. Clearly mark the consumer's endowment point (y, y'). 2 2. Suppose the current-period value of the consumer's asset doubles to 2A. Illustrate the consumer's new budget constraint and equilibrium in the same graph. Explain your answer.
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