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- 6. Using the Solow Model, determine graphically, the steady state for capital and output when there is an: (a) a permanent decrease in the savings rate (b) a permanent decrease in A (c) a permanent increase in the depreciation rate.5. Long run economic growth a) An economy is in its steady-state. According to the Solow model, what will happen to output per worker if the saving rate were to increase? Draw a diagram to illustrate. b) According to the Solow model, an increase in the saving rate is not always desirable. Why not? c) In the world economy, we see a great disparity of income per person. Yet the Solow model predicts conditional convergence - that poor countries will grow faster than rich countries and eventually converge to the same level of income per person as the rich countries. According to the Solow model, what conditions must be met for convergence to occur?Suppose an economy begins in steady state. By what proportion does per capita GDP change in the long run in reponse to each of the following changes? Production function is Y=AK^1/3L^2/3 a. Investment rate doubles b. depreciation rate falls by 10% c. Productivity level rises by 10% d. Earthquake destrys 75% of the capital stock e. Generous immigration policy lead the population to double
- 5. Suppose that the economy's production function is Y = √KVLA where K is capital, L is labor, and A is the state of technology. Suppose that the saving rate (s) is equal to 2.4%, the rate of depreciation of capital (6) is equal to 3%, the number of workers grow at 0.7% per year and the rate of technological progress is 3%. (a) Find the steady state values of: iv. v. growth rate of output growth rate of output per worker (b) Suppose that the growth rate of workers decreases. What is its short-run and the long-run effect on the growth rate of output per worker ?7. Suppose that the economy's production function is Y = √K√LA where K is capital, L is labor, and A is the state of technology. Suppose that the saving rate (s) is equal to 6%, the rate of depreciation of capital (8) is equal to 5%, the number of workers grow at 5% per year and the rate of technological progress is 4%. (a) Find the steady state values of: iv. growth rate of output per worker growth rate of output v. (b) Suppose that the saving rate increases. What is its short-run and the long-run effect on the growth rate of per-capita output?12. Suppose an economy represented by the graph below started with K = 25, so it was in a steady state, but then disaster struck and most of the capital was destroyed. (Assume that no people were hurt so the labor force is the same size.) dK 25 K After the disaster would we expect the economy to grow or shrink? a. grow, I> dK b. grow, I dK d. shrink, I< dK
- 3. Using your Solow Model, illustrate the effects of the following on steady state GDP and steady state capital per person (separate diagrams, please) a. the population growth rate decreases b. the government forces the economy to save more.4. The Solow model describes: how saving rates are determined the static relationship between capital and output how savings, population growth, and technological change affect output over time how savings, population growth, and technological change affect output in a single period what constitutes technological change5. Suppose that the economy's production function is Y = √K√LA where K is capital, L is labor, and A is the state of technology. Suppose that the saving rate (s) is equal to 2.4%, the rate of depreciation of capital (8) is equal to 3%, the number of workers grow at 0.7% per year and the rate of technological progress is 3%. (a) Find the steady state values of: i. 11. capital stock per effective worker output per effective worker growth rate of output per effective worker
- 1. Draw a well-labeled graph that illustrates the steady-state of the Solow model with population growth. Use the graph to find what happens to steady-state capital per worker and income per worker in response to each of the following exogenous changes.a. A change in consumer preferences increases the saving rate.b. A change in weather patterns increases the depreciation rate.c. Better birth-control methods reduce the rate of population growth.16 True or False? The key difference between the Solow and production/expenditure models of the economy is that the Solow model endogenizes the saving rate.2.Define the steady-state growth rate in the Solow model either graphically or mathematically. Using that tool, show how faster population growth affects the steady state? Explain why the answer you got makes sense.