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Consider our intertemporal model, except this time we have three periods, wheret 0 is the first p...
Consider the two-period model from Chapter 9, and assume there is one representative consumer with utility...
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...
Consider a household living for two periods
Consider a household living for two periods, t = 1, 2. Let ct and yt denote consumption and income in period t. s denotes saving in period 1, r is the real interest rate and β the weight the household places on future utility. The following must be true about the household’s consumption in the two periods:c1 = y1 − sandc2 = (1 + r)s + y2a. Derive the household’s intertemporal budget constraint.b. Assume that the preferences of the household can be represented by a log utility...
1. Consider an economy that exists for 3 periods: period 1, period 2 and period 3....
1. Consider an economy that exists for 3 periods: period 1, period 2 and period 3. In each case the government must satisfy the budget constraint: Be+1 = (1 + i)B,+G -T; (a) Write this budget constraint for each period. (b) What must be true for B.? (c) Using the results from part (b), solve the period 3 budget constraint for B3 and substitute this back into the period 2 constraint. (d) Solve this new version of the period 2...
(10 marks) Consider the intertemporal model of consumption in which a consumer chooses between co...
(10 marks) Consider the intertemporal model of consumption in which a consumer chooses between consumption in the current period (Co) and consumption in the future period (C). Suppose individuals can borrow or save at constant interest rate, r. Suppose Jane has an initial endowment of Co in the current period and C, in the future period. Suppose Jane prefers to save some of her current income (amount S1) to finance an expensive vacation in the future period. 8. (2 marks)...
3. Consider the two period setup for the household . Suppose the government initially raises revenue...
3. Consider the two period setup for the household . Suppose the government initially raises revenue only by taxing interest income. This means the individual's budget constraint is: C2 1(1 T)r where T is the tax rate. The government's revenue is zero in period 1 and TrĢ 0) where C is the individual's choice of Cı given the tax rate. Now suppose the government eliminates the taxation of interest income and instead institutes lump-sum taxes of amounts Tı and T2...
Need answer to part c please! 2. Inter-Temporal Labor Supply Imagine an individual who lives for...
Need answer to part c please!
2. Inter-Temporal Labor Supply Imagine an individual who lives for two periods (t 1,2) and faces a sequence of wages {W1, W2} that is known with certainty. The individual can borrow and save at an interest rate of r, and has a discount factor of 0 < 1. Each period, the individual has a total time endowment of T. They do not receive any non-labor income, and they do not start life with any...
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...
1. Consider an economy that exists for 3 periods: period 1, period 2 and period 3. In each case the government must satisfy the budget constraint: Be+1 = (1 + i)B,+G -T; (a) Write this budget constraint for each period. (b) What must be true for B.? (c) Using the results from part (b), solve the period 3 budget constraint for B3 and substitute this back into the period 2 constraint. (d) Solve this new version of the period 2...
(10 marks) Consider the intertemporal model of consumption in which a consumer chooses between consumption in the current period (Co) and consumption in the future period (C). Suppose individuals can borrow or save at constant interest rate, r. Suppose Jane has an initial endowment of Co in the current period and C, in the future period. Suppose Jane prefers to save some of her current income (amount S1) to finance an expensive vacation in the future period. 8. (2 marks)...
3. Consider the two period setup for the household . Suppose the government initially raises revenue only by taxing interest income. This means the individual's budget constraint is: C2 1(1 T)r where T is the tax rate. The government's revenue is zero in period 1 and TrĢ 0) where C is the individual's choice of Cı given the tax rate. Now suppose the government eliminates the taxation of interest income and instead institutes lump-sum taxes of amounts Tı and T2...
Need answer to part c please!
2. Inter-Temporal Labor Supply Imagine an individual who lives for two periods (t 1,2) and faces a sequence of wages {W1, W2} that is known with certainty. The individual can borrow and save at an interest rate of r, and has a discount factor of 0 < 1. Each period, the individual has a total time endowment of T. They do not receive any non-labor income, and they do not start life with any...
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