Suppose that the production function is given by Y=F K, N=A Ka L1-a Where a<1, Y denotes the output, K denotes the capital, N denotes the labour, and A denotes the technological progress. Let ga be the growth rate of technological progress (A), gn be the growth rate of labor (N), and 6 be the rate of depreciation in this economy. Prove that growth of output per worker (gy) is equal to growth of technological progress plus increases in capital per worker [Hint; gy=ga+ a times growth rate of capital per worker)
Q: Suppose you are considering hiring another worker. Also assume that you are at a firm that is…
A: We know that at the optimum: MRTS = MPL/MPK = w/r So here we have MPL = 5, MPK = 20 and w=2 and r=…
Q: Is globalization leading to cultural convergence (i.e., grow similar over time)? If so how?
A: The cultural convergence states that the cultures will become more and more similar when the…
Q: A common false argument for using tariffs to maximize national income and raise domestic living…
A: A tariff refers to a tax imposed on imports of goods and services from one country to another…
Q: During a recession, the Part 2 A. cyclical rate of unemployment is positive. B. cyclical rate…
A: Answer: Cyclical unemployment: cyclical unemployment occurs due to changes in the business cycle.…
Q: #7
A: People's income reduces during a recession, resulting in a lesser amount of taxes received by the…
Q: QUESTION 5. The approach by Borjas (2003) on evaluating the effects on immigration ignores: (a)…
A: The cross elasticity of demand is an economic term that describes how responsive one commodity's…
Q: Consider the monopoly platform model we studied in the lecture where both sides exert positive…
A: A single product is sold by a single vendor in a single-vendor market. In a monopoly market, the…
Q: Suppose that demand for anchovy pizza is given by PD = 50 – QD, and the supply of anchovy pizza is…
A: Since you have given multiple questions, we will solve the first one for you. If you want any…
Q: 2. Why are telecom industries across different economies in the world, in general, oligopolies?
A: The structure of a market where there are only a small number of large players having a significant…
Q: Question 4: (Gaps) If we have the same AD and Y* as before, and an AS given by: Y = 2p 1. Then what…
A:
Q: Suppose that a firm's production function is: 112 95 Its marginal product functions are: 84 MP =…
A: Production function is the maximum set of output(s) that can be produced with a given set of inputs.…
Q: DEMAND & SUPPLY EQUILIBIRUM
A:
Q: Suppose that real GDP per capita of the United States is $32,000 and its growth rate is 2% per year…
A: Rule of 70: - it gives the number of years in which an amount of money gets doubled at a particular…
Q: Question 17 Of the following creditors, who is paid last in a bankruptcy liquidation? O General…
A: "Since you have asked multiple questions, we will solve first question for you .. If you want any…
Q: A certain restaurant is being renovated for BD120,000. The annual value of benefits to be generated…
A: The amount of time it takes for an investment to break even, simply. The time it takes to recoup the…
Q: ) what do you mean by budget constraints, indifference curve and indifference map? What are the…
A: Budget constraint is defined as the possible combinations of the consumption which one can afford…
Q: When the exchange rate rises, the demand curve for foreign exchange shifts and the supply curve of…
A: DISCLAIMER “Since you have asked multiple question, we will solve the first question for you. If…
Q: C.2. Is globalisation a force for good in the world economy? Discuss with respect to at least three…
A: The term "globalization" refers to the method of integrating a country's economy with the worldwide…
Q: Question 34 A perfectly competitive firm has the following cost structure per day: Output Total Cost…
A: A perfectly competitive firm is one of the many firms producing identical goods.
Q: is the process of deciding among various alternatives a. Career planning b. None of the above c.…
A: The various options that are available for the fulfillment of a goal or project in an efficient…
Q: You are a manager for Herman Miller, a major manufacturer of office furniture. You recently hired an…
A: PLEASE FIND THE ANSWER BELOW.
Q: 6. Which of the following is not correct? * The consumer price index gives economists a way of…
A: here we find the correct option as follow;
Q: Which of the following is not an assumption of indifference curve? Indifference curves tend to be…
A: Indifference curve shows different combinations of two goods that give same level of utility.
Q: Two alternatives for recreational facility are being considered. Their cash flow profiles are as…
A: In business and engineering economics, the minimum acceptable rate of return, or hurdle rate, is the…
Q: Given the following demand and cost functions: Demand: p = 3000 - 2x Cost: C = 1200x + 2600 Find the…
A: Profit is the difference between revenue and cost. Revenue is the price multiply quantity…
Q: Stealth bank has deposits of $300 million. It holds reserves of $20 million and has purchased…
A: bank net worth is calculated by the following formula:- Net Worth = Total Assets – Total…
Q: The Mundell-Fleming model takes the world interest rate r* as an exogenous variable. Let’s consider…
A: 1. The market forces of credit determine interest rate levels. When world production, global prices,…
Q: ager is considering the following two quotes from two vendors for purchace and maintanance of an lor…
A: *Answer: For Vendor Y , one should use the Annual real interest rate of 8% as the discount rate…
Q: • Consider a market with two identical firms: Firm A and Firm B. The market demand is P = 310 - 2Q,…
A: We form the profit functions for each firm, differentiate it with respect to the quantity of the…
Q: For example, the lower-left cell shows that if Flashfone prices low and Pictech prices high,…
A: The game theory is the investigation of the manners by which communicating decisions of monetary…
Q: Why should heterodoxy be better than orthodoxy to fight inflation from the point of view of the…
A: The term "heterodoxy" refers to the policies which are generally focused upon realism. But orthodoxy…
Q: Consider providing electricity to a home which needs 10 kW of power by the two options A & B given…
A: For Annual Cost basis of comparison we derive the annuity of the net cash flow of the costs of two…
Q: The functional relationship between freight rates and the quantity supplied by carriers represents…
A:
Q: b. Suppose that demand is given by the equation Qa = 579 – 129P, where Q d is quantity demar Pis the…
A: Equilibrium is achieved at a point where demand curve intersects the supply curve.
Q: Should Jim sell his Minivan? Jim's 1998 minivan is quite functional, but it only averages 20 miles…
A: The information given is:- Jim's 1998 minivan is quite functional, but it only averages 20 miles per…
Q: Choose one theory of economic development and draw/graph/write an economic model that described this…
A: When we consider the production possibility curve then it can be used in the condition where…
Q: Boeing is the sole supplier of aircrafts to all Asian airlines. Airbus is deciding whether to enter…
A:
Q: er's ownership land rental ecropping r E's production function is y = 20 x VT (Yis the final output,…
A: Solution given below,
Q: Consider a process with a unit cost of $40 for the first unit; that is c (1) = 40, a learning rate…
A: Given; Unit cost of first unit; c(1)= $40 Learning rate; LR=0.9 Formula to calculate unit cost of…
Q: 24- A firm producing lamps has fixed costs of €1000 per week. 1) If a kamp costs E15 to produce. (a)…
A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…
Q: If one of the agents in an Edgeworth box has monopoly power and maximises profit as the sole seller,…
A: In a single-vendor market, a single product is sold by a single vendor.The seller has no competition…
Q: Consider an individual whose utility depends on consumption and hours of leisure enjoyed. Answer the…
A: Utility is the level of satisfaction that consumers of a certain good derive from the good. The…
Q: The global financial and economic crisis was preceded by massive current account disparities.…
A: A financial crisis in an economy refers to a steep decline in the value of its currency, suddenly.…
Q: a. Calculate nominal and real GDP per capita for 2009 and 2014. For 2009: Nominal GDP per capita =…
A: Formulas: 1. Nominal GDP per capita = Nominal GDP / Population 2. Real GDP per capita = Real GDP /…
Q: Question 19 12 11 10 9 6 4 3 1 10 20 30 40 50 60 70 80 90 100 110 120 2 The go ent imposes a $3 tax.…
A: Consumer surplus is the area above the market price and below the demand curve up to equilibrium…
Q: at a price of $4.91 per pound, the supply for cherries is 16,124 pounds, and the demand is 10,393…
A: First we need to formulate a supply and demand Schedule of this information . And then we will find…
Q: 3. The neoclassical theory of the firm suggests that firms produce outputs by combining inputs that…
A: The Coase Theorem is the legal and economic concept on property rights proposed by economist Ronald…
Q: Since products are differentiated in_____ each firm faces a downward sloping demand curve, and firms…
A: There are different market structures with different characteristics like number of firms, entry…
Q: ABC is considering the purchase of a $3,000 souffle maker, which has a life of 3 years and will be…
A: In this question:- ABC is considering of purchasing of a $3,000 souffle maker, This machine has a…
Q: What are some examples in the real world of monopoly, perfect competition, oligopoly, and…
A: There are different market structures depending on the number of firms, entry barriers and types of…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Exercise 4: Growth and capital over-accumulationSuppose two countries, A and B, with the same production function Y = KαL1−α. Thevalue of α is 0.30, the growth rate of population is 2% and the depreciation rate is 5%.a) Show that with price-taking firms the share of labor must be 1 − α.b) Compute the stock of capital, output and consumption per unit of labor in the steadystate if the savings rates were 25% for country A and 35% for country B.c) Compare both economies to the Golden Rule.d) Explain what would happen to both countries if suddenly their savings rate becamethe Golden Rule savings rate.Please no written by hand and graph Consider a small world that consists of two different countries, a developed and a developing country. In both countries, assume that the production function takes the following form: Y = F (K, LE) = K¹/4 (LE) 3/4, where Y is output, K is capital stock, L is total employment and E is labour augmenting technology. (a) Does this production function exhibit constant returns to scale in K and L? Explain. (b) Express the above production function in its intensive form (i.e., output per-effective worker y as a function of capital per effective worker k). (c) Solve for the steady-state value of y as a function of saving rate s, population growth rate n, technological progress g, and capital depreciation rate 6. (d) The developed country has a savings rate of 30% and a population growth rate of 2% per year. Meanwhile, the developing country has a savings rate of 15% and population growth rate of 5% a year. Technology evolves at the rate of 8% and 2% in…I have worked on 1-3, but am stuck on 4-6, could you please assist? Suppose that the economy is summarized by the following: Technology (Production Function): Yt = 10 (Kt)0.3 (Lte)0.7 Consumption function: Ct = 0.8Yt Depreciation rate: 8% (i.e. δ= 0.08) Population growth: 2% (i.e. n = 0.02) Technological growth: 4% (i.e. g = 0.04) QUESTIONS: Find the steady state (long run) equilibrium values of kte, yet, and cet. Show graphically what would be the effect of a increase of the saving rate to s=0.4? Show graphically what would be the effect of an increase in population growth to 0.04? Assuming that in 2013 the US economy is in the steady state and L2013 = Le2013 = 8, what is the value of ke2014, ye2014, ce2014 , k2014, y2014, and c2014 ? Use your answer to e) to calculate the growth rate of ket, yet, cet , kt, yt, and ct Based on your answers to the previous questions and on your knowledge of how the Solow growth model works, explain what policies should a less-developed country…
- Assume that Economyland’s production function is Y = F (K, L) = K 0.5 L 0.5Where Y is output level, K is the amount of capital input, and L is the amount of laborinput. a) What is the per-worker production function, y= f (k) for Economyland? b) Assume that 10 percent of capital depreciates each year and savings rate is 20 percent,find the steady-state level of capital per worker for Economyland. Then find the steady-state levelof income per worker and steady-state level of consumption per worker. c) Is it possible to save too much? Why?Show that, when using a traditional economic production function,doubling our population can double our output if capital stocks alsodouble. Use the production function: Q = AK L , where A representstechnology in an economy, K capital, and L labor. Double K and L andshow that Q also doubles, assuming α=β=1/2. Now show that, when we incorporate natural capital into thediscussion, doubling the population does not increase output in thesame way (since natural capital cannot also grow). Use theproduction function: Q = AK L N , where N is natural capital. DoubleK and L and show that Q less than doubles, assuming α=β=γ=1/3.2. Solow-Swan Model (a) You will demonstrate the importance of diminishing returns to capital in the Solow-Swanmodel. Draw a Solow-Swan diagram in which there are constant returns to capital. Thiswould happen if the production function were Yt= AKt, where A = 1. Furthermore,assume that the sum of population growth and the depreciation rate is greater than thesaving rate. Does the economy converge to a steady state in this case? To answer thisquestion, you should draw a Solow-Swan diagram in terms of output per person, as we didin class. Use this diagram to explain why the economy converges to a steady state or doesnot. (b) Assume, instead, that the sum of population growth and the depreciation rate is equal tothe saving rate. In this case, are there any steady states? If yes, describe the steady-statelevels of capital per person. If no, explain why not. (Note: Diagram is not needed for thispart.)
- A country produces output using a production function: Y = F(K, L) = AxK0.5 L0.5 where L is labour, K is capital and A is total factor productivity. Prove that this function exhibits constant returns to scale. Assume that A = 3 and its growth rate is zero. The country has a population growth of 1.5% per year (0.015) and capital depreciates at a rate of 10% (0.10) per year. If the country saves 30% (0.3) of national income, find the steady state levels of capital per worker, as well as consumption and income per worker in the Solow growth model corresponding to this country. What would be the rate of growth of GDP per capita in steady state? Calculate the “Golden Rule” level of capital stock in steady state. Is this economy dynamically efficient?2. An economy has a production function:Yt = 3(squaredKt)(squaredLt). The economy has a saving rate of 24 percent, a depreciation rate of 3 percent,and Lt = 1 for all period (no population growth). There is no technologicalprogress. (a) What is the per-worker production function, yt = f(kt)? Define yt =YtLtand kt =KtLt.(b) Find the equation for the evolution of capital per worker in terms of ktand kt+1. (c) Find the long-run growth rate of output per worker. Now the economy has the following production function:Yt = 3Kt but savings rate, depreciation rate, and population remain the same. (d) What is the per-worker production function, yt = f(kt)? Define yt =Yt/Lt (e) Find the equation for the evolution of capital per worker in terms of ktand kt+1. (f) Find the long-run growth rate of output per worker. (g) Explain why the economy with production function (2) explain persistent growth without the assumption of exogenous technologicalprogress. How does this differ from the economy…(50 points) Consider the two-period economy with investment discussed in class. Forthe sake of simplicity, assume that the utility is time separable and that the per-periodutility is equal to:u(C) = log CAssume also that the technology to produce the consumption goods has constant returns to scale. Moreover, capital is the only input to production. Hence the currentperiod technology can be represented as:Y = zK1where Y , K, and z stand for output, capital and total factor productivity in the currentperiod. The future period technology is akin to the current period technology. There isno government expenditure in the current and future period so that G = 0 and G0 = 0.Finally there is full capital depreciation, namely δ = 1.(a) (10 points) Write down the social planner’s problem. State the variables withrespect to which the social planner maximises.(b) (10 points) Derive the first order conditions to the planner problem. Rearrangethere condition to find the conditions characterising the…
- 3 Assume a closed economy, perfectly elastic labor supply, and linear technology. Suppose the incremental capital-output ratio (ICOR) is 3, the depreciation rate is 3%, and the gross savings rate is 10%. Use the Harrod-Domar growth equation to determine the rate of growth. What would the gross savings rate have to be to achieve 5% growth? Assuming a perfectly elastic labour supply, state one criticism of this model from an exogenous growth theory viewpoint and another criticism of this model from an endogenous growth theory viewpoint.suppose the production formula is given by yt= kt ^1/3 where y is the output per worker and k is the capital per worker. futhermore assume that the saving rate is exogenous and the capital deprecitates at delta rate. if the sum of both deprectiation rate and saving rate equals 1, answer the questions below 1. find the steady state values of capital, output, investments and consumption as functions of the saving rate only? 2. in a diagram show the steady state value values in a part (a)?(a) Consider an economy that is initially in a steady state equilibrium. Assume that in this equilibrium it has a saving rate of 50 per cent and a depreciation rate of 2 per cent. Further assume that the population growth rate is 3% and that the level of output produced can be represented by the following production function: = where A = 1 and = 0.5. Use the Solow-Swan model to determine the level of capital per worker and output per worker in this economy. (1 mark) (b) Now suppose the government introduces a set of policies to improve the institutional set up as well as better production technique which increases total factor productivity by double. What is the new steady state level of capital per worker and output per worker? (1 mark) (c) Use a Solow-Swan diagram to show the qualitative effects of this new government policy upon steady state output per worker and capital per worker. Briefly describe the intuition behind this result. (1 mark) (d) Now suppose, population growth rate…