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Question 3 John has the utility function is u(ci,C2) -c2, where c, is consumption today and c2 is consumption tomorrow. The price of consumption today is £1 and the price of consumption tomorrow...
Section A Question 1 (a) For an inferior good, decompose the effect of a price rise...
Section A Question 1 (a) For an inferior good, decompose the effect of a price rise into a substitution and income effect using the Slutsky decomposition approach. (10 marks) (b) Assume an individual has preferences represented by the fllowing utility function: U(X,Y) = 2x + Y. The price of good X is £3 and the price of good Y is £7. Show on a diagram where the optimal consumption of goods X and Y will be. (10 marks) (c) Suppose...
Suppose that a household has a utility function and intertemporal budget constraint as follows: U(C1,C,) - (cº:" + Bc2:...
Suppose that a household has a utility function and intertemporal budget constraint as follows: U(C1,C,) - (cº:" + Bc2:5)1-y U(C1,C2) = - 1- ITBC: C1 + = yı + 1+1 a) Determine the marginal rate of substitution for this utility function and derive the Euler equation faced by this consumer (define the Lagrangian and then obtain first order conditions as we did it in the lecture). Explain the intuition of the Euler equation. b) Find a solution for optimal consumption...
3. Suppose you are given the utility function: In c' 4 U=In c +- Ci and...
3. Suppose you are given the utility function: In c' 4 U=In c +- Ci and the budget constraint: C - 1+r 1+r where y = 100, y 120, and the interest rate r = 0.05. a) What is the optimal value of current consumption c*? b) What is the optimal value of future consumption, c*? c) Suppose the interest rate r -0.10. What is the new value of optimal current consumption c*? Suppose the new interest rate r =...
1. Harvey Habit's utility function is U (C1, C2) = min {c1, c2}, where ci is...
1. Harvey Habit's utility function is U (C1, C2) = min {c1, c2}, where ci is his consumption of bread in period 1 and ca is his consumption of bread in period 2. The price of bread is $1 per loaf in period 1. The interest rate is 21%. Harvey earns $2,000 in period 1 and he will earn $1,100 in period 2. (a) Write Harvey's budget constraint in terms of future value. (b) How much bread does Harvey consume...
1. Harvey Habit's utility function is U (C1, C2) = min {c1, c2}, where cı is his consumption of bread in period 1 and c...
1. Harvey Habit's utility function is U (C1, C2) = min {c1, c2}, where cı is his consumption of bread in period 1 and c2 is his consumption of bread in period 2. The price of bread is $1 per loaf in period 1. The interest rate is 21%. Harvey earns $2,000 in period 1 and he will earn $1,100 in period 2. (a) Write Harvey's budget constraint in terms of future value. (b) How much bread does Harvey consume...
can anyone help me with this question? 2. An review of intertemporal optimization: Suppose a consumer's utility function is given by U(c,2) where ci is consumption in period 1 and ca is consum...
can
anyone help me with this question?
2. An review of intertemporal optimization: Suppose a consumer's utility function is given by U(c,2) where ci is consumption in period 1 and ca is consumption in perio You can assume that the price of consumption does not change between periods 1 and 2. The consumer has $100 at the beginning of period 1 and uses this money to fund consumption across the two periods (i.e. the consumer does not gain additional income...
Question 1. Suppose Kala's utility function is a function of consumption, with U = 150 cm...
Question 1. Suppose Kala's utility function is a function of consumption, with U = 150 cm Her income is 6. What is the expected value of a gamble where she wins 4 with probability 75% and loses 4 with probability 25%? Would Kala take this gamble? Question 2. What is the present value of $100 in two years, if the yearly interest rate is 7%? Question 3. Laura is deciding how much to consume in periods o, 1, and 2....
Question 1. Suppose Kala's utility function is a function of consumption c, with U = 150-102...
Question 1. Suppose Kala's utility function is a function of consumption c, with U = 150-102 Her income is 6. What is the expected value of a gamble where she wins 4 with probability 75% and loses 4 with probability 25%? Would Kala take this gamble? Question 3. Laura is deciding how much to consume in periods o, 1 and 2. Suppose Laura's income in period o is o, her income in period 1 is y, and her income in...
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...
Section A Question 1 (a) For an inferior good, decompose the effect of a price rise into a substitution and income effect using the Slutsky decomposition approach. (10 marks) (b) Assume an individual has preferences represented by the fllowing utility function: U(X,Y) = 2x + Y. The price of good X is £3 and the price of good Y is £7. Show on a diagram where the optimal consumption of goods X and Y will be. (10 marks) (c) Suppose...
Suppose that a household has a utility function and intertemporal budget constraint as follows: U(C1,C,) - (cº:" + Bc2:5)1-y U(C1,C2) = - 1- ITBC: C1 + = yı + 1+1 a) Determine the marginal rate of substitution for this utility function and derive the Euler equation faced by this consumer (define the Lagrangian and then obtain first order conditions as we did it in the lecture). Explain the intuition of the Euler equation. b) Find a solution for optimal consumption...
3. Suppose you are given the utility function: In c' 4 U=In c +- Ci and the budget constraint: C - 1+r 1+r where y = 100, y 120, and the interest rate r = 0.05. a) What is the optimal value of current consumption c*? b) What is the optimal value of future consumption, c*? c) Suppose the interest rate r -0.10. What is the new value of optimal current consumption c*? Suppose the new interest rate r =...
1. Harvey Habit's utility function is U (C1, C2) = min {c1, c2}, where ci is his consumption of bread in period 1 and ca is his consumption of bread in period 2. The price of bread is $1 per loaf in period 1. The interest rate is 21%. Harvey earns $2,000 in period 1 and he will earn $1,100 in period 2. (a) Write Harvey's budget constraint in terms of future value. (b) How much bread does Harvey consume...
1. Harvey Habit's utility function is U (C1, C2) = min {c1, c2}, where cı is his consumption of bread in period 1 and c2 is his consumption of bread in period 2. The price of bread is $1 per loaf in period 1. The interest rate is 21%. Harvey earns $2,000 in period 1 and he will earn $1,100 in period 2. (a) Write Harvey's budget constraint in terms of future value. (b) How much bread does Harvey consume...
can
anyone help me with this question?
2. An review of intertemporal optimization: Suppose a consumer's utility function is given by U(c,2) where ci is consumption in period 1 and ca is consumption in perio You can assume that the price of consumption does not change between periods 1 and 2. The consumer has $100 at the beginning of period 1 and uses this money to fund consumption across the two periods (i.e. the consumer does not gain additional income...
Question 1. Suppose Kala's utility function is a function of consumption, with U = 150 cm Her income is 6. What is the expected value of a gamble where she wins 4 with probability 75% and loses 4 with probability 25%? Would Kala take this gamble? Question 2. What is the present value of $100 in two years, if the yearly interest rate is 7%? Question 3. Laura is deciding how much to consume in periods o, 1, and 2....
Question 1. Suppose Kala's utility function is a function of consumption c, with U = 150-102 Her income is 6. What is the expected value of a gamble where she wins 4 with probability 75% and loses 4 with probability 25%? Would Kala take this gamble? Question 3. Laura is deciding how much to consume in periods o, 1 and 2. Suppose Laura's income in period o is o, her income in period 1 is y, and her income in...
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...
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