Question 8: Suppose that Bibi's utility function for inter-temporal consumption is: U(C0.cl)-In(C0) + [0.4 * İn(C1)]...
05 Suppose that Mingsong's utility function for inter-temporal co is: U(CO,C1) In(C0) n(C1)/(1 +p)] where CO is his current period consumption, CI is his future period consumption and ρ is his subject rate of time preference. Let ρ be 5%. If Mingsong is endowed with $100 this period and $100 in the next period. And suppose the risk-free interest rate is 10%. What is Mingsong's optimal consumption path (i.e., the optimal level of current and future consumption) if he can...
Question 1. (Consumption-Saving Problem): Suppose that a consumer lives for two periods. The utility function of the consumer is given by 1-1 1-1 with μ > 0 where c1 and c2 are consumption in period 1 and period 2 respectively (Portfolio Choice Problem) Now suppose that the consumer can save in terms of two instruments: financial savings (s) and capital investment (k). Capital investment done in period 1 yields output ka with 0 < α < 1 in period 2....
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...
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...
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...
John’s utility function is represented by the following: U(C,L) = (C-400)*(L-100), where C is expenditure on consumption goods and L is hours of leisure time. Suppose that John receives $150 per week in investment income regardless of how much he works. He earns a wage of $20 per hour. Assume that John has 110 non-sleeping hours a week that could be devoted to work. a. Graph John’s budget constraint. b. Find John’s optimal amount of consumption and leisure. c. John...
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...
1. Consumer’s utility function is: U (X,Y) = 10X + Y. Consumer’s income M is 40 euros, the price per unit of good X (i.e. Px ) is 5 euros and the price per unit of good Y (i.e. Py) is 1 euro. a) What is the marginal utility of good X (MUx) for the consumer? ( Answer: MUx = 10) b) What is the marginal utility of good Y (MUy) for the consumer? ( Answer: MUy = 1) c)...