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What is the economic meaning of the vertical gap between the investment
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- Draw a graph with the following elements: A Solow growth (Y) function where Y= square root of K An investment (I) function where I = % * Y A depreciation (D) function where D = % * KCarefully discuss why consumption behaviour, as a microeconomic component, isimportant to the Solow Growth Model. (Include graphs and equations where necessary)What is the direct or indirect relationship between Consumption behavior and the Solow Growth Model? Please include any important equations.
- Suppose a Solow economy is initially at its steady state k∗, and suddenly is hit by a decrease in the depreciation rate δ, from δ to δ1. This change does not alter any of the other exogenous parameters in the model Depict this situation in a graph What happens to steady state level of capital per capita in this situation? What happens to the level of capital per capita over time? Depict this in a graph and explain intuitively.10. In the steady state in a Solow model including effective/productive workers, the growth of output per effective worker is: G 0 N+G Depreciation rate Savings rateExplain the effects of a change in total factor productivity on the saving rates consistent with the Golden Rule of the Solow Model.
- Country A and country B both have the production function Y = F(K, L) = K^0,5L^0,5 A. Does this production function have constant returns to scale? Explain. B. What is the per-worker production function, y = f(k)? C. Assume that neither country experiences population growth or technological progress and that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 20 percent of output each year. Using your answer from part (b) and the steady-state condition that investment equals depreciation, find the steady-state level of capital per worker for each country. Theen find the steady-state levels of income per worker and consumption per worker. D. Suppose that both countries start off with a capital stock per worker of 2. What are the levels of income per worker and consumption per worker? Remembering that the change in the capital stock is investment less depreciation, use a calculator or a computer spreadsheet…Q) Suppose that the depreciation rate increase. In the Solow growth model, determine the effects of this on the quantity of capital per worker (k) and on output per worker (y) in the steady state. Show with graphs Copy paste answer strictly prohibited . So explain it own words and correctly.In an economy characterized by a Cobb-Douglas production function (without technical progress), labour’s share of income is 70% and the depreciation rate is 3% per annum. The economy is in a steady state with GDP growth at 4% per year and with a capital output ratio of 2. Find the saving rate and the marginal product of capital. At time t the saving rate in this economy increases to a new constant level, with the outcome that the economy converges to the Golden Rule steady state. What is the new savings rate, capital output ratio and marginal product of capital?
- Consider an economy described by the production function: Y = F(K, L) = K^0,3L^0,7 A. What is the per-worker production function? B. Assuming no population growth or technological progress, find the steady-state capital stock per worker, output per worker, and consumption per worker as a function of the saving rate and the depreciation rate.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?9 Based on the production function Y = AKaG1-a (with G representing public expenditure, and the remaining variables and parameters representing usual values), show, using the necessary assumptions the value of the tax amount that maximizes the economic growth rate. Then, represent graphically the situation.