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Problem #3 Consider the following path of income of a consumer who lives for three periods....
Problem 1. (Consumption smoothing) A consumer who lives for four periods have the following path of...
Problem 1. (Consumption smoothing) A consumer who lives for four periods have the following path of income y 60 0 60 0 Assume the consumer has log utility, u(a)-ing, and is infinitely patient, β-1. Also assume the interest rate is 0 so that the real rate of return is 1 b) What is the value of assets, at, of the consumer at the beginning of period 4? (c) If the consumer is not able to borrow at any point in...
Problem 1. (Consumption smoothing) A consumer who lives for four periods have the following path of...
Problem 1. (Consumption smoothing) A consumer who lives for four periods have the following path of income y 60 0 60 0 Assume the consumer has log utility, a ct) 0 so that the real rate of return is 1 Inq, and is infinitely patient, β-1. Also aKsune the interest rate is (a) What is the optimal consumption profile of the consumer? (b) What is the value of assets, a, of the consumer at the beginning of period 47 (c)...
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...
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...
Problem 1.Consider a consumer who lives for two periods. His income in period 1 equals 2000...
Problem 1.Consider a consumer who lives for two periods. His income in period 1 equals 2000 EUR and his income in period 2 equals 2500, Real interest rate equals 10% a) Use the appropriate diagram to show the consumer's intertemporal budget constraint and his consumption choice, assuming that he is a net lender in period 1 b) How will his consumption decision be affected if the interest rate increases to 20% Answr using the graph from part (a)? Will he...
Consider a consumer who lives for two periods. The consumer gets utility from consumption in each...
Consider a consumer who lives for two periods. The consumer gets utility from consumption in each period. The consumer also gets an endowment of time in each period, L hours, which the consumer can use to work or consume as leisure . The consumer gets NO utility from leisure, however. There is no borrowing or lending. (a)(10%) Let w1 and w2 be the wage rates per hour in periods 1 and periods 2 respect- ively. In period 1, the consumer...
A consumer lives three periods, called the learning period, the working period, and the retirement period....
A consumer lives three periods, called the learning period, the working period, and the retirement period. Her income is 50 during the learning period, 1200 during the working period, and 300 during the retirement period. The consumer's initial assets are 100. The real interest rate is zero. The consumer desires perfectly smooth consumption over her lifetime. a. What are consumption and saving in each period, assuming no borrowing constraints? Period Desired Consumption Desired Saving Learning Period Working Period Retirement Period...
A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(c1,c2) =...
A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(c1,c2) = ccm, where Ct = consumption in period t and a + b = 1. Her income in period one is I1 = 500 and 12 = 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...
5. A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(C1,C2)...
5. A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(C1,C2) = ccm, where Ct = consumption in period t and a + b = 1. Her income in period one is 1 = 500 and 12 = 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...
Consider another consumer that lives for two periods and chooses consumption in period 1 and in...
Consider another consumer that lives for two periods and chooses consumption in period 1 and in period 2. At the current interest rate of 10% the consumer lends $10,000. If the interest rate increases to 30%, what will happen to consumption in period 1 (current consumption)? (a) Consumption in period 1 increases unambiguously. (b) Consumption in period 1 decreases unambiguously. (c) Consumption in period 1 increases only if the substitution effect dominates the income effect. (d) Consumption in period 1...
Problem 1. (Consumption smoothing) A consumer who lives for four periods have the following path of income y 60 0 60 0 Assume the consumer has log utility, u(a)-ing, and is infinitely patient, β-1. Also assume the interest rate is 0 so that the real rate of return is 1 b) What is the value of assets, at, of the consumer at the beginning of period 4? (c) If the consumer is not able to borrow at any point in...
Problem 1. (Consumption smoothing) A consumer who lives for four periods have the following path of income y 60 0 60 0 Assume the consumer has log utility, a ct) 0 so that the real rate of return is 1 Inq, and is infinitely patient, β-1. Also aKsune the interest rate is (a) What is the optimal consumption profile of the consumer? (b) What is the value of assets, a, of the consumer at the beginning of period 47 (c)...
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 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...
Problem 1.Consider a consumer who lives for two periods. His income in period 1 equals 2000 EUR and his income in period 2 equals 2500, Real interest rate equals 10% a) Use the appropriate diagram to show the consumer's intertemporal budget constraint and his consumption choice, assuming that he is a net lender in period 1 b) How will his consumption decision be affected if the interest rate increases to 20% Answr using the graph from part (a)? Will he...
A consumer lives three periods, called the learning period, the working period, and the retirement period. Her income is 50 during the learning period, 1200 during the working period, and 300 during the retirement period. The consumer's initial assets are 100. The real interest rate is zero. The consumer desires perfectly smooth consumption over her lifetime. a. What are consumption and saving in each period, assuming no borrowing constraints? Period Desired Consumption Desired Saving Learning Period Working Period Retirement Period...
A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(c1,c2) = ccm, where Ct = consumption in period t and a + b = 1. Her income in period one is I1 = 500 and 12 = 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...
5. A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(C1,C2) = ccm, where Ct = consumption in period t and a + b = 1. Her income in period one is 1 = 500 and 12 = 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...
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