Suppose a closed economy has an aggregate consumption function given by C = 50 + 0.50Yd and generates $2100 output and income in equilibrium. Suppose also that the government spends 400 and imposes a lump-sum tax of 50. What is the level of intended investment?
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- Consider country G, which is a closed economy. Suppose that G’s investment is 200, disposable income is 900 and the consumption 650. Answer G’s public saving and if government spending G is more than, less than or equal to the tax T. what is the public saving?:G (more than, less than or equal to the tax T)?:Assume a finite state economy with three assets whose payoff matrix is given by 30 20 50 D = 20 15 35 (a) Suppose that the asset prices are $28, $18, and $47, respectively. Is there an arbitrage opportunity in the market? (b) If the price of the third asset reduces to $46, is there an arbitrage oppor- tunity in the market?6. The multiplier effect Consider a hypothetical economy where there are no taxes and no foreign trade, and households spend $0.75 of each additional dollar they earn and save the remaining $0.25. The marginal propensity to consume (MPC) for this economy is 0.75 ; the marginal propensity to save (MPS) for this economy is 0.25 ; and the multiplier for this economy is 4 Suppose investment spending in this economy increases by $100 billion. The increase in investment will lead to an increase in income, generating an increase in consumption that increases income yet again, and so on. Fill in the following table to show the impact of the change in investment spending on the first two rounds of consumption spending and, eventually, on total output and income. Hint: Be sure to enter a negative sign in front of the number if there is a decrease in consumption. Change in Investment Spending = $100 billion First Change in Consumption = billion Second Change in Consumption = 24 billion Total…
- Consider the basic setup of the Diamond-Dybvig (1983) model. Specifically, there are three periods, denoted t = 0, 1, 2, a single consumption good, and an illiquid investment opportunity that pays gross return 1 if liquidated at t = 1, or gross return 2.2 if liquidated at t = 2. There are 500 people in the economy, each endowed with 1 unit of the consumption good at t = 0. At t = 1, exactly 200 will randomly realize that they need to consume at t = 1 (the early consumers), the remaining 300 people will need to consume at t = 2 (the late consumers). The utility derived from consumption is 1 − (1/c1) 2 for early consumers, 1−(1/c2) 2 for late consumers, where the subscript denotes the time of consumption. Suppose a bank can offer an asset that is more liquid, with gross returns Rd 1 = 1.33 and Rd 2 = 1.71 (depending on the time of liquidation). (i) Calculate the bank’s profit after t = 2. In other words, what amount of funds remains at the bank once all depositors have withdrawn? Now…Suppose we have a product with the following conditions: The consumer's maximum willingness to pay is 8 A firm's minimum willingness to accept is 1 The market price is 7 a. What is the consumer surplus? CS = b. What is the producer surplus? PS = c. What is the total surplus TS =Consider the following payoff table that represents the profits earned for each alternative (A, B, and C) under the states of nature S1, S2, and S3. Using the Laplace criterion, what would be the highest expected payoff? S1 S2 S3 A $100 145 120 B $75 125 110 C $95 85 60
- 1. Consider a pure exchange economy with two goods and two consumers. Let F denote food and C denote clothing. Lacy has the utility function U(F, C) = F 1/3 C 2/3 . Roy has the utility function V (F, C) = F 2/3 C 1/3 . Each consumer has an initial endowment consisting of 9 units of F and 9 units of C. Normalize the price of F to one. Let P denote the price of C. (a) Is the initial endowment a Pareto efcient allocation of F and C between the two con sumers? Explain briefy. (b) What is each consumer’s demand for F and C as a function of P? [Hint: the wealth of each consumer is 9 + 9P.] (c) What is the price of C in a competitive equilibrium? (d) What is the allocation of F and C between the two consumers in a competitive equilibrium?Translate the following monetary payoffs into utilities for a decision maker whose utility function is described by an exponential function with R = 250: –$200, –$100, $0, $100, $200, $300, $400, $500.Am.11.
- Most economies have a goal of maximizing the average consumption per period. Assume that during each year, an economy saves the same (to be determined) percentage S of its production. During a year in which the beginning capital level is K, a quantity K1y2 of capital is produced. If the economy saves a percentage S of its capital, then during the current year it consumes (1 2 S)K units of capital and, through savings, adds (SK) 1y2 units of capital. Also, during any year, 10% of all capital present at the beginning of the year depreciates or wears out. a. What annual savings percentage S maximizes the long-run average consumption level? Assume that year 50 represents the long run, so that the objective is the consumption level in year 50. You can assume the initial capital is 1 (for some appropriate measurement unit). b. Use SolverTable to see how the optimal value of S depends on the annual depreciation rate.Consider a product market with three consumers A, B and C with demand function PA = 6 – QA, PB = 6 – 2QB and PC = 12 – QC respectively, where P is the price in dollars and QA, QB and QC are the quantities demanded by Consumer A, B and C respectively. The marginal cost of the product is constant at $4. (i) If the product is public good, analyse the product and determine the optimal quantity of the product in the market.(ii) How will your answer be different if the product is a private good instead? (Hi there, may I requst for a detailed step by step explanation as i struggle with this topic. Thank you)Answer the following question (Q#4) Consider a poor country with an under-developed economy which could invest trillions into its current capital stock – either moving “up” its current productivity “curve” (PC) or shifting to a new and higher productivity (PC) curve. Which approach is likely best for increasing the country’s living standards (Real GDP Per Person) through time? (a) A continuous build-up of the current capital stock with established technology will achieve more – capital “deepening” with more capital for each worker. (b) R&D that supports “cutting edge” invention and innovation will propel labor (Q#8) Until recently, the economy in China has grown steadily due to the deliberate emphasis on low skill – low wage factory labor methods. However, China’s economic standard of living is still comparatively low. To achieve a U.S. or German standard of living what should be done? a) China should…