In a closed economy with no government, use the following information to compute the long run level of total consumption, not per-worker consumption You are given: The production function F(K,Lt)=K%L-a The share of national income paid to owners of capital: a=.4 The rate of depreciation: 8=.3 The rate of savings s .5 The initial capital stock Ko=1 The labor supply L=5 for all t> Do not round any intermediate calculations. Please give an exact answer. This question will accept any answer within 0.1 of the exact answer.
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- Consider an economy called Xanadu for which desired aggregate consumptiondepends on income, Y. and the real interest rate, r, according toCd =100+0.7Y - 200r.Xanadu's GDP is Y = 1000 and government spending on goods and services is G=180. Xanadu's desired future capital stock is given byK* = 140 - 100ucwhere luCdenotes the user-cost of capital. The price of capital is PK =2, thephysical depreciation rate is d =0.1 and the existing capital stock is K0= 50. Trapital stock between any period t and the following period t+1 evolves accordng toKt+1 = It+(1-d)Kt where It the level of investment. Assume throughout that net factor payments from abroad (NFP) is equal to zero.Suppose instead that Xanadu is a small open economy facing a world interest rate of 1%. It follows that Xanadu's current account position is equal toA) -16B) -51C) -6D) -8Suppose an economy produces only 2 products that will also be used for directconsumption, as per the article at the end of the exam: chicken wings and donuts. Inthe second quarter of 2021 (the base period), 180,000 pounds of chicken wings wereproduced, at a value of $3.50 per pound, while in the second quarter of 2022,production of chicken wings increased to 200,000 pounds, at a value of $3.75 perpound. In the second quarter of 2021 (the base period), 85,000 donuts were producedat a value of $0.85 per donut, while in the second quarter of 2022, donut productionincreased to 100,000 donuts, each at a value of $0.95 per donut. The population inthis economy is 1000 individuals in 2022, while the number of hours worked in 2022is 5000. Also, the quantities that were produced in 2021 represent the quantities thatwere purchased by the typical household, meaning that everything that was producedwas sold.d. Solve for the amount of labor productivity in the second quarter of 2022.e. Solve for the…Consider an economy in which the consumption, investment and production functions are as follows.C = 90 + 0:7(Y - T)I = 250 - 20r F(K;L) = AK1=2L1=2The capital and labor supply are equal to 100 each, A=10, G = 200 and T = 200. Compute theequilibrium values of output, overall labor income, consumption, public savings, national savings,investment, and the interest rate.Suppose now government spending decreases to G=100 (everything else stays the same). Whathappens to output, consumption, savings, investment and the interest rate? Compute the newvalues for these variables.
- An economy has an aggregate production function to produce goods and services Y = AK1/3L 2/3 where Y represents total output (i.e GDP), K is capital, L is labor, and A is total factor productivity (TFP). This economy devotes a share of 30% of its output to gross investment. Capital depreciates at a rate of 10% per period. The TFP level is one and there are 2 units of labor available for production. • Suppose the economy starts with a capital stock at time t = 1 equal to 1 unit. Write down the values of gross investment, net investment, capital, consumption, and output observed during the subsequent 10 periods • What is the steady state level of capital, assuming A = 1 and L = 2? • Suppose that the economy is at its steady state and there is an increase in the depreciation rate from 0.10 to 0.15. What is the new steady state value for capital? Discuss your results.Hello I need help to find the answer for my econ 101 hw for a question as follows: Assume that the production function for a country is given by ?=√K and annual investment is given by the function ?=?×? where γ=0.270, and that the yearly depreciation rate is 4.50%. Suppose that this year, the output in the country is 1, and a neighbor country's output is 50% higher. Calculate the time it would take for the country's output to catch up with its neighbor's output. Assume the neighbor country's economy is neither growing nor shrinking. I will be also attaching the original problem for your reference as I just need to find the time that it would take the country's output to catch up with its neighbor's output. Thank You and please refer to the image to further assist with the question that I want answered.arrow_forward Question Asked Aug 18, 2020 25 views Consider the following model of an economy operating with fixed wages, prices and interest rates and hasexcess capacity. Adsume all figures are I Zambian kwacha. C=100+0.8yd, T=100+25Y, G=980 and I= 500 Where c is consumption, yd is disposable income, T is taxes net of transformers, G is government spending on goods and services and I is investments. Is the government running a surplus or deficit Show the impact of a reduction in government spending by 80 on the equilibrium level of national income Illustrate your new equilibrium in the same Keynesian cross diagram
- Consider an economy described by the following data:C = $3.25 trillionI = $1.3 trillionG = $3.5 trillionT = $3.0 trillionNX = - $1.0 trillionf = 1mpc = 0.75d = 0.3x = 0.1a. Derive simplified expressions for the consumptionfunction, the investment function, and the net exportfunction.b. Derive an expression for the IS curve.c. If the real interest rate is r = 2, what is equilibriumoutput? If r = 5, what is equilibrium output?d. Draw a graph of the IS curve showing the answersfrom part (c) above.e. If government purchases increase to $4.2 trillion,what will happen to equilibrium output at r = 2?What will happen to equilibrium output at r = 5?Show the effect of the increase in government purchases in your graph from part (d).I have to analyze, using the IS-LM model, the macroeconomiceffects of an increase in savings in the short term and its implications for long-term growth. Specifically, I have to suppose that households (consumers) lose confidence and start saving more for any level of disposable income. Can you plase answer the following question (using graphs too): In terms of total savings and, therefore, of potential long-term growth, is a flat LM curve or a positive sloping LM curve better?What is a foreign exchange rate? (a) The rate at which the currency of one country trades for the goods ofanother country.(b) The rate at which one country’s goods trade for those of another country.(c) The rate at which currencies of different countries are exchanged.(d) The rate at which one country’s currency trades for gold provided byanother country. Induced consumption is: (a) the part of consumption which is independent of the level of income.(b) the minimum level of consumption that is financed from sources other than income.(c) The maximum level of consumption that is financed from sources other than income.(d) shown by the slope of the consumption function. In the Keynesian model, an introduction of a proportional tax will: (a) increase the slope of the consumption function.(b) reduce the multiplier.(c) increase the equilibrium level of income.(d) increase the multiplier. A decrease in the price level will: (a) shift the AS curve to the left.(b) shift the AD curve to the…
- Consider a competitive, closed economy with a Cobb-Douglas production function with parameter α = 0.25. The parameter A is equal to 60. Assume also that capital is 100, labor is 100. Assume that in this economy consumption (C) is given by the equation C = 600 + 0.6(Y – T). Investment (I) is given by the equation I = 2,000 – 100r, where r is the real rate of interest in percent. Taxes (T) are 500 and government spending (G) is also 500. (Hint: use the GDP obtained in part a). What are the equilibrium values of C, I, and r? What are the values of private saving, public saving, and national saving?When comparing National with Regional Input-Output models, the issue of “leakages” often comes up. what is a “leakage? Also explain the impact that a leakage has on an economy’s multipliers and what this means for measure of economic impactI have to analyze, using the IS-LM model, the macroeconomiceffects of an increase in savings in the short term and its implications for long-term growth. Specifically, I have to suppose that households (consumers) lose confidence and start saving more for any level of disposable income. Can you plase answer the following question (using graphs where possible): In terms of total savings and, therefore, of potential long-term growth, is a flat LM curve or a positive sloping LM curve better?