Illustrate the Steady-State of the Solow-Swan model and show the effect of an increase in the savings rate on the Steady-State. PLease expain detail with the diagram.
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Q4. Illustrate the Steady-State of the Solow-Swan model and show the effect of an increase in the savings rate on the Steady-State. PLease expain detail with the diagram.
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- Q4. Illustrate the Steady-State of the Solow-Swan model and show the effect of an increase in the savings rate on the Steady-State. PLease write the explanation detail with the diagram.Question 2 If a natural disaster destroys a large portion of a country's capital stock but the saving and depreciation rates are unchanged, the Solow model predicts that the economy will grow and eventually reach:a. A lower steady-state level of output than it would have before the disasterb. None of these answers is correctC. The same steady-state level of output as it would have before the disasterd. A higher steady-state level of output than it would have before the disaster e. Not enough information is given now suppose you are given the data for Brazil and Portugal. In Brazil, the saving rate is 0.1 and the depreciation rate is 0.1, while in Portugal saving rate is 0.2 and the depreciation rate is 0.1. Using the Solow model, you conclude that in the steady-state: a. Brazil has a higher capital-output ratio than Portugal b. Portugal has a higher capital-output ratio than Brazil c. Brazil has a higher level of output than Portugal d. Portugal has a higher level of output than…an economy is described by the Solow-Swan model with the following variables, E(t)=1 The saving rate is 0.41 per year. Labor's share of income is 0.44. The growth rate of labor efficiency is 0.03 per year. The growth rate of the labor force is 0.02 per year Depreciation is 0.09 per year. calculate the steady-state value of the capital-to-labor ratio, K/L Enter your answer to two places after the decimal.
- 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 properly.Assume a country is in steady state. Explain what will happen id a disaster hit the country and destroyed 40% of its capital stock, but nobody is killed. Draw the diagram of solow model.Consider an economy that begins in a steady-state. Then an asteroid destroys two third of the capital stock. Using Solow model, draw a graph to explain how the economy behaves over time. Draw another graph indicating how output progresses over time, and demonstrate what happens to the level and growth rate of per capita GDP. By how much does the output decline when the capital stock falls by two third? Please include a description of what's happening on the graphs.
- Solow-Swan Model Assume an economy with a production function that exhibits constant returns to capital.1 Ineach of the following cases, draw a Solow-Swan diagram and use is to explain whether andhow the economy converges to a steady state. Clearly identify any steady state(s) or otherwiseexplain why there is no steady state. (i) Assume the sum of population growth and the depreciation rate is greater than the savingrate.(ii) Instead assume the sum of population growth and the depreciation rate is less than thesaving rate.(iii) Instead assume that the sum of population growth and the depreciation rate is equal tothe saving rate. What is the importance of diminishing returns to capital in the Solow-Swan model?Draw the Solow model and fully label your graph. Suppose savings rateincreases. Show the effect on the graph and steady state. What is the effectfor long run living standards?QESTION 6 for which of the following does the Solow model NOT provide adequate explanation? a. What causes long-term economic growth b. The case of productivity differences across countriesc. Why saving rates differ across countries d. All of these answers are correct e. Why population growth rates differ across countries Using the Solow model, if, in time, t=0, the initial capital stock is 100, investment is 25, the population is normalized to 1, and e 10 percent, then capital accumulation from period t=0 to period t=1 is: a. 15 b. 115 c. 35 d. D. 0 e. -15
- Some analysts claim that the economy is subject to a “paradox of thrift.” That is, increases in saving will cause consumption and GDP to fall. In support, they point to the fact that consumer spending is more than ⅔ of GDP. (a) Does the Solow model (described in Chapter 28 of Cowen and Tabarrok), show the paradox of thrift? Explain. (b) What about the real world? Do the data in Figure 28.8 below suggest a paradox of thrift? Explain.Suppose the economy of an island behaves as the Solow model (Y=AK1/2L1/2), version 1.0 (constant population). Suppose that the productivity parameter is A=90, the depreciation rate is d=1/10, the savings (investment) rate is s=0.10, and the labor force is equal to 2 million (and constant over time). 1-Due to climate change, from 2011 onward, every year the island is hit by hurricanes of increasing force that destroy capital. As a result, the depreciation rate doubles. What will be the new long-run (steady state) value for income per worker (Y/L)? Pick the closest value. Also label the new steady-state GDP as point C in the diagram. Between 75 and 85 None of the other options Between 4,500 and 5,200 Between 8,000 and 8,500 Between 44 and 49 2-In year 2021 investors recognize that the depreciation rate is higher than a decade earlier. They also recognize that the actual returns to their investments in physical capital over the previous decade have consistently fallen below their…(a) Consider an economy that is initially in a steady state equilibrium. Assume that in this equilibrium it has a saving rate of 50 per cent and a depreciation rate of 2 per cent. Further assume that the population growth rate is 3% and that the level of output produced can be represented by the following production function: = where A = 1 and = 0.5. Use the Solow-Swan model to determine the level of capital per worker and output per worker in this economy. (1 mark) (b) Now suppose the government introduces a set of policies to improve the institutional set up as well as better production technique which increases total factor productivity by double. What is the new steady state level of capital per worker and output per worker? (1 mark) (c) Use a Solow-Swan diagram to show the qualitative effects of this new government policy upon steady state output per worker and capital per worker. Briefly describe the intuition behind this result. (1 mark) (d) Now suppose, population growth rate…