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Suppose we are in a two-period environment where the representative consumer has a utilit;y function of...
Assume the representative consumer lives in two periods and his preferences can be described by the utility function U(c; c') = c1/3 + B(c')1/3; where c is the current consumption, c' is next period consumption, and B = 0.95. Let's assume that the consumer can borrow or lend at the interest rate r = 10%. The consumer receives an income y = 100 in the current period and y' = 110 in the next period. The government wants to spend...
Consider the two-period model from Chapter 9, and assume there is one representative consumer with utility function uc,d) = Iníc) + In(d), so the time discount factor is 3 = 1. There is also a government that levies lump-sum taxes in the current and future periods. The government has expenditures of G = 580 in the current period and G' = 630 in the future period. (a) Suppose the consumer has current and future income (w.y') = (3500, 6510), and...
Problem 1.Consider a consumer who lives for two periods. His income in period 1 equals 2000 EUR and his income in period 2 equals 2500, Real interest rate equals 10% a) Use the appropriate diagram to show the consumer's intertemporal budget constraint and his consumption choice, assuming that he is a net lender in period 1 b) How will his consumption decision be affected if the interest rate increases to 20% Answr using the graph from part (a)? Will he...
3. A consumer lives for two periods. His income in period 1 is Y, and his income in period 2 is Y.,. The consumer is free to lend and borrow at zero interest rate (r=0 and R=1+r=1). Y, = Y, = 10. (a) What is the price of consumption in period 1 in terms of consumption in period 2? (How many units of period 2 consumption must the consumer give up to get an additional unit of consumption in period...
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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...
3 Consumption Taxes and Ricardian Equiv- alence (8 points) Suppose a consumer has income y in period 1, y' in period 2, and faces a proportional tax on consumption. That is if consumption is c in period 1 'and c' in period 2, the consumer pays a tax sc on period 1 consumption and s'c' ou period 2 consumption. Thuss and s' represent the rate of sales tax in each period. The government wishes to collect total tax revenue 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...
A two-period endowment economy as we studied in class has consumers with identical preferences and the consumption good is non storable. Suppose that there is a benevolent government (i.e. a government that seeks to maximize the welfare of consumers) that imposes lump-sum taxes and make lump-sum transfers. (Recall, taxes can be negative, in which case they are called transfers.) The government must satisfy its present-value budget constraint T2 1+r where T, denotes taxes (T, >o) or transfers (T <0) in...
2 Two Period Model of Consumption/Saving Decisions with Taxes (8 points) Assume a consumer who has current period income y200, future period income y-150, current taxes t = 40, and future taxes t' 50, and faces a market interest rate of r-5 percent or .05. The consumer would like to consume such that e'=e*(1+r) if possible. However, this consumer is faced with a credit market imperfection, in that no borrowing is allowed. That is s must be greater or equal...