Consider a closed economy with consumption, production, and government. The representative consumer always desires a consumption bundle where the quantities of consumption and leisure are such that C=al and a = 1. Show the following on your answer sheet. [1] Suppose that w = 0.75, profit = 8, and T = 6. Determine the consumer's optimal choice of consumption and leisure, showing every step of your calculation.
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- Consider an economy where individuals live for two periods only. Their utility function over consumption in periods 1 and 2 is given by U = 2 log(C1) + 2 log(C2), where C1 and C2 are period 1 and period 2 consumption levels respectively. They have labor income of $100 in period 1 and labor income of $50 in period 2. They can save as much of their income in period 1 as they like in bank accounts, earning interest rate of 5 percent per period. They have no bequest motive, so they spend all their income before the end of period 2. a. What is each individual’s lifetime budget constraint? If they choose consumption in each period so as to maximize their lifetime utility subject to their lifetime budget constraint, what is the optimal consumption in each period? How much do the consumers save in the first period? b. Suppose that the government introduces a social security system that will take $10 from each individual in period 1, put it in a bank account, and transfer it back to…Suppose Bank of England is considering using the tool of cutting interest rates to boost household consumption. In this question you will be asked to use the intertemporal choice model to assess the impact of different policies on household consumption. Suppose a consumer's current income is £25,000 and their future income is £30,000, and they initially face a market interest rate of 15% on both saving and borrowing. (a) In a diagram with consumption this year (C1) on the horizontal axis and consumption next year (C2) on the vertical axis, illustrate this consumer's budget constraint (using the numerical values set above) and indicate their optimal choice by drawing a indifference curve convex to the origin, assuming that at the current interest rate it is optimal for them to save. (b) Calculate (using the numerical values set above) and interpret their marginal rate of time preference at their optimal choice. (c) Illustrate and explain how a fall in the market interest rate from 15%…In the intertemporal choice model (C0 and C1 ) an individual is endowed with only future goods and no current goods. A drop in the real interest rate would cause the budget line to ______and move______. a. steepen, downward b. steepen, upward c. flatten, downward d. flatten, upward e. keep a constant slope, upward Note : I know the correct answer is D) but PLEASE DRAW A PICTURE TO HELP EXPLAIN THE ANSWER TO THIS QUESTION!!!!
- please solve it completely. Bob has preferences over consumption in period 0 and 1 of the form U(x, y) = xy, where x and y are Bob's consumption in period 0 and 1 respectively. He has $15,000 in the bank now and is trying to decide between two different investment opportunities, A and B. A: invest $10,000 in period 0 and receive $20,000 in period 1. B: invest $2,000 in period 0 and receive $6,000 in period 1. If Bob can borrow and lend at a rate of interest of 50 percent, which investment opportunity will he choose? Given your answer in (a), how much will he consume in each period if the price of the good is $1 in both periods? Given your answer in (a), how much will he consume in each period if the price in period 0 is $1 and the inflation is 20%? Assuming that the price of consumption is $1 in both periods and the borrowing rate is 50% and the lending rate is 100%. Given your answer in (a), how much will he consume in each period?Keynes believed equilibrium income was: Multiple Choice not fixed at the economy's potential income. fixed at the economy's potential income. always below the economy's potential income. always above the economy's potential income.What is your MPC? Would a welfare recipient and a millionaire have the same MPC? What determines a person’s MPC?
- Suppose a consumer has $1500 in the current time period and $1100 in the future time period.Suppose also that the consumer can borrow and lend freely and, unless otherwise specified, borrowing and lending interest rates are the same. (a) If the interest rate between time periods is 50%, what is the budget constraint between consumption in the present and consumption in the future? (B) If the interest rate at which the consumer can borrow is 75% but the rate at which she can lend is25%, what is the budget constraint? (C) Suppose the interest rate is 50%. If the consumer has to pay a fee of 10% of the loan amount in order to borrow money, what is the budget constraint?Suppose people can consume the income they earn or save and invest it at rate ?. If we tax wealth at a rate greater than ?, how are people likely to adjust their rate of savings?Assume in a simple economy that the level of saving is –500 when aggregate output equals zero and that the marginal propensity to save is 0.2. Derive the saving function and the consumption function, and draw a graph showing these functions. At what level of aggregate output does the consumption curve cross the 45° line? Explain your answer and show this on the graph.
- True or False: It is possible, in a basic hours towards leisure and income towards consumption model, that the Earned Income Tax Credit can encourage more hours towards leisure, less hours towards work and more money towards consumption.Consider a closed economy. Let Y denote GDP, C denotes Consumption, I denotes Investment, r is the real rate of interest in percent, T denotes Taxes, and G stands for Government Spending. Suppose that these take the following form: Y = 8,000.C = 600 + 0.8(Y – T) I = 2,000 – 100rT = 500G = 500. a. What is the marginal propensity to consume in this economy? b. What are the equilibrium values of C, I, and r? c. What are the values of private saving, public saving, and national saving? d. If government spending rises to 1,000, what are the new equilibrium values of C, I, and r? e. What are the new equilibrium values of private saving, public saving, and national saving?Consider an economy with two periods (interpreted as “when young” and “when old” periods)and two consumers, Gillian Davis and Joana Wolinsky. Gillian is a star ballet dancer with a lifetime income given by ωG= (400,0). Joana is an Econ Ph.D. student with incomeωJ= (0,400). Gillian and Joana have identical utility functions given by Ui(x1,x2) = 6 lnx1+ 3 lnx2 for i=G, J a) Plot an Edgeworth box and mark the initial endowment point. b) Write the general definition of Pareto efficient allocation (one sentence) and give the equivalent condition in terms of MRS (give formula). Check if this condition is satisfied for initial endowments. c) Derive the contract curve (write down the appropriate conditions and solve for the curve) and depict it in the Edgeworth box. d) Suppose Gillian and Joana can “trade” consumption in both periods at pricesp1,p2. Find the competitive equilibrium (6 numbers) and depict the equilibrium allocation in the Edgeworth box. e) Using the MRS condition from part b),…