Let's incorporate the labor-leisure trade-off and capital income taxes in the two-period model. Let c₁, c₂ be consumption in two periods, I the number of hours worked, Te, Tez the proportional taxes on consumption in 2 periods, s the saving rate, w the wage rate, b pension in the 2nd period, and 7, the tax on savings (capital income tax). The household's maximization problem in this case is: given by maxe₁,e2,8,1-1 log(c₁) + log (1-1)+6log(c₂) such that (1+₁)C₁+8 = (1-7)wl and (1+T₂)₂ = [1+r(1-T₁)]s+b, where measures how the household values leisure vis-a-vis consumption. A. Explain in English the meaning of the objective function and the 2 constraints.

Let's incorporate the labor-leisure trade-off and capital income taxes in the two-period model. Let c₁, c₂ be consumption in two periods, I the number of hours worked, Te, Tez the proportional taxes on consumption in 2 periods, s the saving rate, w the wage rate, b pension in the 2nd period, and 7, the tax on savings (capital income tax). The household's maximization problem in this case is: given by maxe₁,e2,8,1-1 log(c₁) + log (1-1)+6log(c₂) such that (1+₁)C₁+8 = (1-7)wl and (1+T₂)₂ = [1+r(1-T₁)]s+b, where measures how the household values leisure vis-a-vis consumption. A. Explain in English the meaning of the objective function and the 2 constraints.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Need it fast
How does savings change with changes in y2? Provide some intuition behind this result.
Consider the two-period household-maximization model discussed in class. The model is modified in order to look at applications including credit constraints, interest-rate markups, and taxation. A representative household lives for two periods and maximizes utility of consumption in period 1 and in period 2. The utility is represented by log(c) where c denotes consumption. Assuming no discounting between period 1 and period 2. The maximization problem for the representative household can be written as max{log c1 + log c2} c1 + a1 = y1 − τ1 + (1 + r)a0 c2 = y2 − τ2 + (1 + r)a1 where y1 and y2 denote income levels in period 1 and period 2, τ1 and τ2 are taxes in the two periods, and a0 and a1 denote the assets of the households in each period. a0 is exogenously given. Assume the interest rate r = 0, and the government can borrow or save at the same interest rate so that its present-value budget constraint is given by g1 + g2 = τ1 + τ2 where g1 and g2 are exogenous government expenditures…
Assume you can work as many hours you wish at £12 per hour (net of tax). If you do not work, you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. Derive and plot the feasible set, between daily values of consumption c, and “leisure”, l. Label the values at the intercepts (the points where the feasible frontier cuts the two axes).
Consider a two-period model in which the goverment introduces a tax on interest earnings. This means that borrowers pay a net interest rate of r, however lenders (savers) receive a net interest rate of (1 – t)r on their savings, where t is the tax rate withheld by the government and is a multiplication sign. Let r = 8 percent and t = 28 percent. Consider a consumer who is a saver. Answer parts a), b), c) and d) below. Round your numerical answer in part a) to 3 decimal places. a). The relative price of consumption today to consumption tomorrow for this saver is b). Suppose the tax rate increases. How does the saver's relative price of consumption today change? A. Consumption today has the same price relative to consumption tomorrow. B. Consumption today becomes relatively more expensive C. Consumption today becomes relatively cheaper c). As a result, the substitution effect shows that A. Consumption today increases, while consumption tomorrow decreases B. Consumption today remains…
Please help me solving the following sub question please inform me of what the elements of the diagram you draw mean please. Thank you Only 6 b please
Consider the following one-period model. Consumer Utility function over consumption (C) and leisure (L) U(C,L)= C^(1/2)L^(1/2) = Total hours: H = 40 Labour hours: = H – L Non-labour income: π Lump-sum tax: T Hourly wage: w Firm Production function: Y = zF() = z Total factor productivitiy: z = 2 Government Government spending (exogenous): G = 20 Suppose that the total factor productivity, z, increases to 5. What is the substitution effect of this wage change on labour supply()? A. +8.51 B. -5.51 C. -8.51 D. +5.51 E. None of the above
1
Consider the two-period household-maximization model discussed in class. The model is modified in order to look at applications including credit constraints, interest-rate markups, and taxation. A representative household lives for two periods and maximizes utility of consumption in period 1 and in period 2. The utility is represented by log(c) where c denotes consumption. Assuming no discounting between period 1 and period 2. The maximization problem for the representative household can be written as a) Explain what is meant by a representative household. Briefly explain the budget constraints of the representative households and of the government. Explain the role played by the assumption that the representative households lives for only two periods and the assumption of “no discounting”.
(Use this information to answer qustion 13 - 16) Suppose a household solves the following two-period consumption-savings problem max u(c1) + Bu(c2) {C1,C2} s.t. aw Y1 - C1 C2Y2 = (1+r) a with u(c) = √c where c₁ is consumption at time 1, c2 is consumption at time 2, ₁ is houshold income at time 1, y2 is houshold income at time 2 and w is the initial wealth. Suppose the incomes of the household are $50 in time 1 and $210 in time 2. The initial wealth is $100, the discount factor is 0.975 and interest rate is 5%. Solve for the household's choice of C1. (a) 125.12 (b) 126.58 (c) 175.16 (d) 341.88