1. Using a two-period income-consumption diagram, show the impact on current savings of a fall in the interest rate. Assume that the individual saved part of her income in period 1.
2. Using a two-period income-consumption diagram, show the impact of a rise in the interest rate assuming the household borrows in period 1.
1. Using a two-period income-consumption diagram, show the impact on current savings of a fall in...
1. Using a two-period income- consumption diagram, show the impact of a rise in the interest rate assuming the household borrows in period 1
2. Capital Tax: In our two period consumption-savings model, suppose that positive interest income in period 2 is taxed at rate t. Assume that Ao -0, the individual has positive endowment in both periods, and nominal prices for the good remain the same despite the ax (a) Write down the budget constraints in each period and obtain an algebraic expression for his life-time budget constraint. (b) Suppose that at the optimal choice, the representative individual is choosing not to save...
1. Consider the following two period consumption savings problem. A consumer cares about consumption (c and future consumption c according to Assume that U(c) is given by for some constant y. In the present the consumer chooses how much to consume and how much to save out of her income y>0 This decision is made in the knowledge that in the future she will be retired, have no income, and thus future consumption will be entirely out of savings: c)a,...
(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)...
Consider the typical individual in Fisher’s two-period model, who chooses between current and future consumption (C1 and C2) to maximize utility. Their preferences are such that the substitution effect dominates the income effect and savings increases when the interest rate rises. Draw the intertemporal budget constraint and indifference curve for this individual saver when r = 0.10. Label the utility-maximizing point by A. Which is greater, the marginal utility C1 or the marginal utility of C2? How do you know?...
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...
A consumer's income in the current period is y=100, and income in the future period is y' =120. He or she pays lump-sum taxes t =20 in the current period and t' =10 in the future period. The real interest rate is 0.1, or 10%, per period. Also assume that this consumer likes to consume the same amount of consumption each period, that is, c = c. Questions: a) [5 points] Calculate the lifetime wealth for this consumer. b) [4...
Consider an economy occupied by two households (i- A, B) who are facing the two-period consumption problem. Each household i - A, B is facing the following utility maximization problem: max subject to ci +biy(1+r)bo where Vi and US are household i's exogenous income in period t 1.2. cỈ and c are household i's consumption in period t 1,2. bo,bi is household i's bond holdings of which bo is exogenously given, r is the real interest rate, and 0 <...
1. Consider a variant of the two-period model of consumption-saving behavior. In this version of the model, the consumer has income y in the first period and no income in the second period. Her life-time budget constraint is c+ a - 1+r = y. (a) Draw this budget constraint in a diagram with con horizontal axis and d on vertical axis. What are the slope and vertical intercept of this budget constraint? Label the endowment point in the diagram. (3...
Consider the two-period model of consumption-savings decisions with a perfect credit market. An intertemporal consumption-savings decision implies an economic trade-off between current and future consumption, where the interest rate is used to identify the present value of future consumption goods. (a) Starting from the consumer’s current-period and future-period budget constraints, derive the consumer’s lifetime budget constraint. (b) Re-write the lifetime budget constraint in slope-intercept form, and draw a graph of the consumer’s lifetime budget constraint. (c) Suppose that you win...