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, 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 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 period 2 is ay. The price of consumption in period i is p. Assuming the interest rate is r, and consumption in period i is denoted c, set up Laura's intertemporal budget constraint, expressed in future value.
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...
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 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 is p2. John gets an income of m, today and m2 tomorrow. (a) John also faces the interest rate, r. Write out John's intertemporal budget constraint in present value and future forms. (4 marks) (b) It turns out that John earns an income of £15000 today and...
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...
(10 Question 1: marks) Given is the Total Utility Function along with Budget Constraint: Utility Function: U (X, Y) = X°.270.3 Budget Constraint: I = XP, + YP, a. What is the consumer's marginal utility for X and for Y? b. Suppose the price of X is equal to 4 and the price of Y equal to 6. What is the utility maximizing proportion of X and Y in his consumption? {construct the budget constraint) c. If the total amount...
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 an individual has perfect-complements preferences that can be represented by the utility function U(x,y)= min[3x,2y]. Furthermore, suppose that she faces a standard linear budget constraint, with income denoted by m and prices denoted by px and p,, respectively. a) Derive the demand functions for x and y. b) How does demand for the two goods depend on the prices, p, and p, ? Explain.