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- what is the steady state of equilibrium for capital labor (K) if the national savings rate is 0.14 and the depreciation rate is 0.04?For this question, assume that all price levels are fixed. Now suppose that there is a real depreciation. This real depreciation will cause which of the following to occur? Question 4Answer a. None of the answers b. a reduction in exports c. an increase in imports d. a reduction in net exports e. a reduction in demand for domestic outputPlease no written by hand Yt = 3Kt saving rate= 0.24 depreciation ratre=0.03 but savings rate, depreciation rate, and population remain the same.(d) What is the per-worker production function, yt = f(kt)? Define yt = YtLt.(e) Find the equation for the evolution of capital per worker in terms of ktand kt+1
- Fred’s Frisbees is trying to determine how many Frisbee pressing machines to buy for its new factory. The real price of a new pressing machine is 7600 Frisbees. The depreciation rate on these Frisbee presses is equal to 12% per year. The real interest rate is 10%. The expected future marginal product of these fabricating machines is given by the expression 5000 – 4K, measured in Frisbees. (a) What is the user cost of capital? (b) What is the profit-maximizing number of Frisbee presses for Fred’s to purchase for its new factory? (c) Before purchasing the machines Fred’s finds that it will be subject to a new tax of 60 percent on all its revenue. Now what is the profit maximizing number of machines for Fred’s to purchase?Solow economy where TFP = 1, capital starts off at K0=1, the savings rate is 50%, and the annual depreciation rate of capital is 10%. What is the steady-state capital stock?Question 1:- Suppose a country has a gross savings rate of 25%, a depreciation rate of 2%, and an incremental capital output ratio (lCOR) of 2.2. Using the Harrod-Domar growth model, a) find the implied rate of growth of total GDP in the country. b) How much would the rate of savings have to increase to raise the growth rate of total GDP to 10%? c) Is your answer consistent with the Harrod-Domar model? Explain.
- Would you expect capital deepening to result in diminished1etmns? Why or why not? Would you expect improvements in technology to result in diminished returns? Why or why not?Consider an economy’s production function is Y=K^1/3 N^2/3 and that both the saving rate and the depreciation rate are equal to 0.15. A. What is the steady-state level of capital per worker? B. What is the steady-state level of output per worker? Now suppose that the economy has reached its steady-state in period t, and then, in period t+1, the saving rate doubles to 0.30. The depreciation rate remains constant at 0.15. C. Solve for the new steady-state levels of capital per worker and output per worker. D. Calculate the path of capital per worker and output per worker over the first three periods after the change in the saving rate.1. Hula hoop fabrications cost $100 each. The H2H company is trying to decide how many of these machines to buy. The number of hoops for each year and for each level of capital stock shown as follows: Hula Hoop have a real value of $1 each. There is no other costs besides the cost of fabricators. a. Find the expected future marginal product of capital (in terms of dollar) for each level of capital. b. If the real interest rate is 12% per year, and the depreciation rate of capital is 20% per year, find the user cost of capital (in dollar per fabricator per year). How many fabricators should H2H buy?
- Question 2Assume production function is given by:Y= K(1/2) L(1/2)a. Write the production function in per worker terms (y=f(k))b. Assume that the per worker level of capital in the steady state is 4, the depreciation rate is 5% per year, and population growth is 5% per year. Does this economy have “too much” or “too little” capital? How do you know? [Show your work].Solve for the steady state of K with: An Investment (I) function with a rate of growth of 0.4 times the square root of K and a depreciation (D) function of 0.03 * K. Now graph what this looks like. Hint: you need to set the production function equal to the depreciation function and solve for k.If the value of depreciation should ever exceed that of gross private domestic investment, how would this affect the future productivity of the nation ?