05 Suppose that Mingsong's utility function for inter-temporal co is: U(CO,C1) In(C0) n(C1)/(1 +p)] where CO...
Question 8: Suppose that Bibi's utility function for inter-temporal consumption is: U(C0.cl)-In(C0) + [0.4 * İn(C1)] where Cois his current period consumption, C, is his future period consumption. Bibi is endowed with mo 90,000 in this period (to) and mo -$500,000 in the next period (t1). And suppose there a perfect capital market in which Bibi can borrow and lend at 25% (risk-free). i. What is Bibi's optimal consumption bundle (i.e., the optimal level of current and future consumption) if...
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...
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. Suppose you are given the utility function: VC U = vc + 1.10 CI уг and the budget constraint: c+ =yt 1+r 1+r where y = 5, y' = 10, and the interest rate r = 0.10. Now suppose that y=5 again, and there is only one consumer in the entire economy. If we add in government expenditures and taxation, the consumer's budget constraint is now: c+ y' = y + -t- +r 1+r 1+r If current and future...
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. (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....
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. Consumer's Consumption Decision (Chapter 2 in Fabozi, Neave and Zhou - Fi- nancial Economics) Suppose Amy's utility function for a two-period consumption problem is U(C1, C2) = C1026, (1) her income in period 1 yı = 2000; y2 = 1296 in period 2; and market borrowing and lending rate is 8%. Determine the optimal consumption expenditures in period 1 and 2 for Amy. Is Amy a borrower or lender?