3 Consumption Taxes and Ricardian Equiv- alence (8 points) Suppose a consumer has income y in...
Starting with the dynamic consumption model seen in class, consider the case where the consumer is not facing lump-sum taxes, but proportional taxes. The tax is a linear tax on consumption. In first period, the consumer pays a tax t:c, in the second period T'.d. Note that t and t' need not be identical. The government wants to collect a total amount of revenue, which has a present value of R=G+ Now the government reduces t and increases t' 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...
Question 1 (3 Points): Assume a consumer has current-period income y = 120, future-period income y' = 140, current and future taxes t = 20 and t' = 10, respectively, and faces a market real interest rate of r = 0.08, or 8% per period. The consumer has the following preferences over current and future consumption: U(c, c') = min(4c, 3c'). a) (1 points) Determine the consumer's lifetime wealth. b) (2 points) Determine what the consumer's optimal current-period and future-period...
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...
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...
A consumer receives income y in the current period, income yœ in the future period, and pays taxes of t and t œ in the current and future periods, respectively. The consumer can borrow and lend at the real interest rate r. This consumer faces a constraint on how much he or she can borrow, much like the credit limit typically placed on a credit card account. That is, the consumer cannot borrow more than x, where x < we...
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 consumer receives income y in the current period, income yœ in the future period, and pays taxes of t and t œ in the current and future periods, respectively. The consumer can borrow and lend at the real interest rate r. This consumer faces a constraint on how much he or she can borrow, much like the credit limit typically placed on a credit card account. That is, the consumer cannot borrow more than x, where x < we...
Alter the Diamond-Dybvig model in the following way. Suppose that there are two assets, an illiquid asset that returns 1+r units of consumption goods in period 2 for each unit invested in period 0, and a liquid asset that returns one unit of consumption goods in period 1 for each unit invested in period 0. The illiquid asset production technology cannot be interrupted in period 1. The model is otherwise the same as in class. a. Determine a consumers lifetime...