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1. Consider an agent who values consumption in period 0 and 1 according to the following...
1. Consider the following two period consumption savings problem. A consumer cares about consumption (c and...
1. Consider the following two period consumption savings problem. A consumer cares about consumption (c and future consumption c according to Assume that U(c) is given by for some constant y. In the present the consumer chooses how much to consume and how much to save out of her income y>0 This decision is made in the knowledge that in the future she will be retired, have no income, and thus future consumption will be entirely out of savings: c)a,...
Question 4. Laura is deciding how much to consume in periods o, 1 and 2. Suppose Laura income in period o is o, her...
Question 4. Laura is deciding how much to consume in periods o, 1 and 2. Suppose Laura income in period o is o, her income in period is y, and her income in period alsay. The price of consumption in period / is p. Assuming the interest rate is T, and consumption in period is denoted. In the utility maximization problem what variables are endogenous and which are exogenous ? Figure 1. Consider the following diagram of an indifference curve...
Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period...
Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period t, a generation of two-period lived agents are born. Their preferences are ,+1log()log(+i). They are endowed with ey units of the consumption good, when young, and e° units of the consumption good, when old. Assume that e' > e > 0. The consumption good is perishable The initial old also have a quantity M of intrinsically valueless fiat money. Trading takes place as described...
Problem 1 (2.5 marks). Suppose there are only two time periods, today (period 1) and tomorrow...
Problem 1 (2.5 marks). Suppose there are only two time periods, today (period 1) and tomorrow (period 2), and only one consumption good, let's call it food. Assume that food is a perfectly divisible good. Let ci and c2 denote the amount of food consumed today and tomorrow, respectively. Note that here we use subscripts to denote time periods. The price of food today is equal to Pi = P, but as the rate of inflation is > 0, the...
Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period...
Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period t, a generation of two-period lived agents are born. Their preferences are . They are endowed with ey units of the consumption good, when young, and e° units of the consumption good, when old. Assume that ey > eo > 0. The consumption good is perishable The initial old also have a quantity M of intrinsically valueless fiat money. Trading takes place as described...
Consider a two-period lived representative agent for an economy, whose preferences for consumption are described by...
Consider a two-period lived representative agent for an economy, whose preferences for consumption are described by the lifetime utility function U = InC1 + InC2 a. Compare the effects of a temporary and a permanent income fall on current account. Suppose that the output of the economy in the two periods are 100 (Y1) and 100 (Y2), and r is 5%. b. Does the economy run a trade balance deficit or surplus in period 1? How about period 2? Explain...
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...
Problem 1. Consider the problem of an agent at date t, who marimizes the utility function...
Problem 1. Consider the problem of an agent at date t, who marimizes the utility function に0 subject to a sequence of budget constraint, where B is the discount factor, c+k is consumption in period t+ k and 1/η is the intertemporal elasticity of substitution Let P+k be the price level prevailing at date t+k, i.e. Pt+k Dollar buy 1 unit of the consumption good in period t +k. Among the various assets that the agent can trade at date...
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)...
Harvey Habit's utility function is still UCi.c2)-minfcical, where the arguments are the consumption in period 1...
Harvey Habit's utility function is still UCi.c2)-minfcical, where the arguments are the consumption in period 1 and consumption in period 2. The price of bread is period i . The interest rate is 21%. Harvey earns S2000 in period 1 and he will earn S1,100 in period 2 S1 per loaf in a) b) Write Harvey's budget constraint in terms of future value, assuming no inflation How much bread does Harvey consume i does he save? (the answer might not...
1. Consider the following two period consumption savings problem. A consumer cares about consumption (c and future consumption c according to Assume that U(c) is given by for some constant y. In the present the consumer chooses how much to consume and how much to save out of her income y>0 This decision is made in the knowledge that in the future she will be retired, have no income, and thus future consumption will be entirely out of savings: c)a,...
Question 4. Laura is deciding how much to consume in periods o, 1 and 2. Suppose Laura income in period o is o, her income in period is y, and her income in period alsay. The price of consumption in period / is p. Assuming the interest rate is T, and consumption in period is denoted. In the utility maximization problem what variables are endogenous and which are exogenous ? Figure 1. Consider the following diagram of an indifference curve...
Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period t, a generation of two-period lived agents are born. Their preferences are ,+1log()log(+i). They are endowed with ey units of the consumption good, when young, and e° units of the consumption good, when old. Assume that e' > e > 0. The consumption good is perishable The initial old also have a quantity M of intrinsically valueless fiat money. Trading takes place as described...
Problem 1 (2.5 marks). Suppose there are only two time periods, today (period 1) and tomorrow (period 2), and only one consumption good, let's call it food. Assume that food is a perfectly divisible good. Let ci and c2 denote the amount of food consumed today and tomorrow, respectively. Note that here we use subscripts to denote time periods. The price of food today is equal to Pi = P, but as the rate of inflation is > 0, the...
Consider a two-period lived representative agent for an economy, whose preferences for consumption are described by the lifetime utility function U = InC1 + InC2 a. Compare the effects of a temporary and a permanent income fall on current account. Suppose that the output of the economy in the two periods are 100 (Y1) and 100 (Y2), and r is 5%. b. Does the economy run a trade balance deficit or surplus in period 1? How about period 2? Explain...
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...
Problem 1. Consider the problem of an agent at date t, who marimizes the utility function に0 subject to a sequence of budget constraint, where B is the discount factor, c+k is consumption in period t+ k and 1/η is the intertemporal elasticity of substitution Let P+k be the price level prevailing at date t+k, i.e. Pt+k Dollar buy 1 unit of the consumption good in period t +k. Among the various assets that the agent can trade at date...
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)...
Harvey Habit's utility function is still UCi.c2)-minfcical, where the arguments are the consumption in period 1 and consumption in period 2. The price of bread is period i . The interest rate is 21%. Harvey earns S2000 in period 1 and he will earn S1,100 in period 2 S1 per loaf in a) b) Write Harvey's budget constraint in terms of future value, assuming no inflation How much bread does Harvey consume i does he save? (the answer might not...
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