Consider the consumption-saving model we discussed in class. You work for a life-insurance company that pays...
Consider the consumption-saving model we discussed in class. You work for a life-insurance company that pays income y0=10 in the first period and y1=22 in the second period. Your utility function over consumption in the two periods is: u(c0,c1)=In(c0)+In(c1).
(a) Suppose the interest rate is r = 0.1. Find the optimal consumption in both periods.
(b) Now suppose that there is a borrowing constraint in the first period such that the individual cannot borrow more than 10% of her first period income. What
would be the optimal consumption in this case?
(c) Compare the individual’s utility from (a) and (b), does the borrowing constraint make the individual worse off?
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Consider the consumption-saving model we discussed in class. You
work for a life-insurance company that pays...
4. Consider the consumption-leisure choice model we discussed in class. Suppose individual utility is represented by...
4. Consider the consumption-leisure choice model we discussed in class. Suppose individual utility is represented by the function U(c, L) = min {c, 10L}, where c is consumption and L is leisure. Individuals have a total h = 16 hours that could be divided into work and leisure. Market wage rate is w = 10. (a) Sketch the individual’s indifference curve. (b) Find the optimal consumption and leisure choice. (c) Now suppose wage increases to w = 12. Find the...
(30 marks) Jane lives for two periods. In the first period of her life she earns...
(30 marks) Jane lives for two periods. In the first period of her life she earns income Y1. The value of Y1 was determined by your student number. In the second period of her life, Jane is retired and does not earn any income. Jane’s decision is how much of her period one income should she save (S) in order to consume in period two. For every dollar that Jane saves in period one she has (1 + r) dollars...
) Jane lives for two periods. In the first period of her life she earns income...
) Jane lives for two periods. In the first period of her life she earns income Y1. The value of Y1 was determined by your student number. In the second period of her life, Jane is retired and does not earn any income. Jane’s decision is how much of her period one income should she save (S) in order to consume in period two. For every dollar that Jane saves in period one she has (1 + r) dollars available...
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Borrowing Constraint in Two-Period Model - In real life, your credit card credit limit is usually half year or annual income, not your lifetime income. So, consider a twist to the two-period consumption- saving model where household faces borrowing constraint. That is, household cannot borrow more than a pre-specified amount. For simplicity, assume that the household cannot borrow at all; thus, 1 20 The rest of the problem remain identical as max {} log(60) + β1og (c) subject to co...
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Question 1. (Consumption-Saving Problem): Suppose that a consumer lives for two periods. The utility function of the consumer is given by with u> 0 where c and c2 are consumption in period 1 and period 2 respectively. Sup- pose that consumer has income y in the first period, but has no income in the second period. Consumer has to save in the first period in order to consume in the second period. Let s be the savings in the first...
Question 1. (Consumption-Saving Problem): Suppose that a consumer lives for two periods. The utility function of...
Question 1. (Consumption-Saving Problem): Suppose that a consumer lives for two periods. The utility function of the consumer is given by with u> 0 where c and c2 are consumption in period 1 and period 2 respectively. Sup- pose that consumer has income y in the first period, but has no income in the second period. Consumer has to save in the first period in order to consume in the second period. Let s be the savings in the first...
Jane lives for two periods. In the first period of her life she earns income Y1....
Jane lives for two periods. In the first period of her life she earns income Y1. The value of Y1 was determined by your student number. In the second period of her life, Jane is retired and does not earn any income. Jane’s decision is how much of her period one income should she save (S) in order to consume in period two. For every dollar that Jane saves in period one she has (1 + r) dollars available to...
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Doug lives for two periods. In the first period of his life he earns income Y1. The value of Y1 was determined by your student number. In the second period of his life, Doug is retired and does not earn any income. Doug’s decision is how much of his period one income should he save (S) in order to consume in period two. For every dollar that Doug saves in period one he has (1 + r) dollars available to...
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Question 1. (Consumption-Saving Problem): Suppose that a consumer lives for two periods. The utility function of the consumer is given by with u> 0 where c and c2 are consumption in period 1 and period 2 respectively. Sup- pose that consumer has income y in the first period, but has no income in the second period. Consumer has to save in the first period in order to consume in the second period. Let s be the savings in the first...
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