

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....
Jane (last time) has preferences over consumption in period 0 and 1 of the form U(c0, c1) = min{c0, c1}. The price of a unit of consumption in both periods is $1. She has $6,000 in the bank now and is trying to decide between two different investment opportunities, A and B. A: invest $5,000 in period zero and receive $12,000 in period 1. B: invest $1,000 in period zero and receive $3,000 in period 1. (a) If Jane can...
Mortimer lives for two period and has utility function U = C1*C2. He earns no income in period two and his income in period 1 is $80,000. The interest rate at which he can borrow and lend is 10%. Calculate his optimal consumption in each period.
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...