The consumer views present and future consumption as perfect complements and would like to consume equal amounts in both periods, i.e., . Suppose, however, that there is a credit market imperfection that prevents this consumer from borrowing at all, i.e., . a. Show the consumer's lifetime budget constraint and indifference curves on a diagram. Note that because the consumer prefers to purchase present and future consumption in equal amounts, the indifference curves will be kinked at. Note also that because the consumer cannot borrow, the budget constraint will be kinked at the consumer's initial endowment. Recall that the budget constraint is given by: Recall also that the consumer's endowment for each period can be expressed as: b. Calculate the consumer's optimal current-period and future-period consumption and optimal saving and show this in your diagram. Does the existence of the credit market imperfection affect the consumer's choices? Recall that savings is given by: c. Suppose that taxes fall in the current period but increase in the second period such that and. Calculate the effects on current and future consumption and optimal saving and show this on your diagram.

The consumer views present and future consumption as perfect complements and would like to consume equal amounts in both periods, i.e., . Suppose, however, that there is a credit market imperfection that prevents this consumer from borrowing at all, i.e., . a. Show the consumer's lifetime budget constraint and indifference curves on a diagram. Note that because the consumer prefers to purchase present and future consumption in equal amounts, the indifference curves will be kinked at. Note also that because the consumer cannot borrow, the budget constraint will be kinked at the consumer's initial endowment. Recall that the budget constraint is given by: Recall also that the consumer's endowment for each period can be expressed as: b. Calculate the consumer's optimal current-period and future-period consumption and optimal saving and show this in your diagram. Does the existence of the credit market imperfection affect the consumer's choices? Recall that savings is given by: c. Suppose that taxes fall in the current period but increase in the second period such that and. Calculate the effects on current and future consumption and optimal saving and show this on your diagram.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Consider the household model that you have seen in class but now assume that the goal of the household is to consume twice as much in period 2 as in period 1. She earns $100 in the first period and $150 in the second period. The interest rate is 5%. What is her optimal saving in the first period? Note: Type in your answer approximated to two decimal points, i.e., your answer must be of the form "999.99". I will not be able to fix correct answers that were entered incorrectly, such as "999.999" or "999,99" or "999". In case the last digit in the correct answer is zero, e.g., "999.90" or "999.00", Blackboard will automatically delete it and you should not do anything about it.
6. A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: ule1, c2) = cfc, where c, = consumption in period t and a+ B = 1. Her income in period one is I1 = 500 and I2 = 400, and she can lend or borrow at interest rate r = 0.2. (a) Find the optimal consumption demand. (b) What values of a, if any, makes the consumer a borrower? Interpret this result. (c) Suppose now that a = but that r is no longer 0.2. What values of r, if any, makes the consumer a borrower? Interpret this result.
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