Use the information below to answer questions 30, 31 and 32. Assume in a given economy the initial level of capital per worker K/L =k = 9, Assume also that y = Y/L and is a function of k such that y = Vk the savings rate s = 0 2, the rate of depreciation d = 0.1, using the equation of motion and other equations What is the level of depreciation? Select one O a a 0.9 a 0.6 a. 1.2
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- Consider a closed-economy. The economywide expected future marginal product of capital is MPKf = 50 − 0.05K^f , where Kf is the future capital stock. The depreciation rate of capital, δ, is 10% per period. The current capital stock, K, is 900 units of capital. The real price of a unit of capital is 8 unit of output. Firms pay taxes equal to 20% of their output. The consumption equation is C = 100 + 0.6Y −100r, where C is consumption, Y is output, and r is the real interest rate. Government spending equals 150 and full-employment output is 1000. (a) Suppose the current real interest rate is 10% per period. What are the values of the tax-adjusted user cost of capital, the desired future capital stock, and the desired level of investment? (b) When the real interest rate equals 10%, what are the desired levels of consumption and saving (assuming output is at the full-employment level)? 10 (c) Is the goods market in equilibrium when the real interest rate equals 10%? Provide an intuitive…1. Assume that the economy is in a steady state and there is an unexpected permanent increase in the rate of depreciation δ. Using the appropriate diagram show: a. What is the best response to this change? b. Does consumption initially increase or decrease?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) -8
- Assume that a national restaurant chain called BBQ builds 20 new restaurants at a cost of $1 million per restaurant. It outfits each restaurant with an additional $400,000 of equipment and furnishings. To help partially defray the cost of this expansion, BBQ issues and sells 400,000 shares of stock at $40 per share. a. What is the amount of economic investment that has resulted from BBQ’s actions? $_________ million b. How much purely financial investment took place? $__________ millionSuppose that conditions in the economy are such that the after-tax expected real interest rate is described by the equationRa = a X gWhere a is a number that depends on how people value their consumption in one period compared with another period, and g is the growth rate of the economy. The a equals 1 when people prefer consumption to be balanced, with the same amount of consumption each period; a may be bigger than the one when people prefer consumption today over consumption in the future, with a being larger and larger the more impatient people are:A - Suppose that a = 2, g = 0.02, the inflation rate is expected to be steady at pi = 0.03, and the tax rate is .40. What are the values of the equilibrium nominal interest rate and the before-tax expected real interest rate?B - Beginning with the situation in part a, if the growth rate of the economy increases to .04, what are the new values of the equilibrium nominal interest rate and the before-tax expected real interest rate?C -…Suppose that conditions in the economy are such that the after-tax expected real interest rate is described by the equationRa = a X gWhere a is a number that depends on how people value their consumption in one period compared with another period, and g is the growth rate of the economy. The a equals 1 when people prefer consumption to be balanced, with the same amount of consumption each period; a may be bigger than the one when people prefer consumption today over consumption in the future, with a being larger and larger the more impatient people are:D - Beginning with the situation in part a, if the expected inflation rate declings to 0.01, what are the new values of the equilibrium nominal interest rate and the before tax expected real interest rate?E - From these results, what general conclusions can you draw about the relationship between the nominal interest rate and the rate of economic growth, the tax rate, and the inflation rate? what about the relationship between the before…
- a. List all the equilibrium conditions of this model and Using the equilibrium conditions listed, write down an expression that describes the evolution of the aggregate capital stock, Kt over time. Briefly explain why this expression is not particularly convenient for our analysis of the model? b.Using your answer to the above question, derive the equation that describes the evo- lution of the the capital stock per effective unit of worker, kt. ' Why is the analysis in terms of the variables per effective unit of worker more useful than the one with the aggregate capital stock? c. Assume that a E (0, 1). Draw a diagram that describes the evolution of kt, and show that there exists a unique steady state, k* > 0. Label properly. Find the expressions for the steady state variables k*, y*, and c* in terms of the parameters of the model. , Now, assume that α = 1. Draw a diagram that describes the evolution of kt, and show that income per worker can grow indefinitely in this case. Label…1. Suppose an economy is currently in the steady state. Show in clear and well labelled labelled graph(s), the impact of (1) an increase in savings and (2) a decrease in the depreciation rate. What is the ultimate impact of these changes?Economists from Funlandia have collected the following information about the economy (all measured in billions of bucks): Y = 12, C= 9, T = 2, and G = 2.5. The economists also estimate the investment function is I = 2 – 0.5r where r is the country’s real interest rate expressed as a percentage. Calculate private saving, public saving, national saving, investment, and the real interest rate.
- Scenario 2Suppose the marginal product of capital is MPK=2-0.001K, the capital stock depreciates at 20% rate, the tax rate on revenues is 20% and price of capital is assumned to be 1. Furthermore, the economy has full-employment level of output of 5000, government purchases are 1000. Desired consumption is given by C^d=3000-2000r+0.1Y, where Y is output and r is expected real interest rate. Initial level of capital is 1000.Refer to Scenario 2. what is the expression for desired gross investment ? A) I^d=950-1250r B)I^d=950+1250r C)I^d=1750-1250r D)I^d=1950-1250r.Scenario 2Suppose the marginal product of capital is MPK=2-0.001K, the capital stock depreciates at 20% rate, the tax rate on revenues is 20% and price of capital is assumned to be 1. Furthermore, the economy has full-employment level of output of 5000, government purchases are 1000. Desired consumption is given by C^d=3000-2000r+0.1Y, where Y is output and r is expected real interest rate. Initial level of capital is 1000. Refer to Scenario 2. What is goods market clearing real interest rate? A)r=13.84 B)r=15% C)r=2% D)r=16%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.
