The Solow model assumes: the capital stock is constant the number of workers is growing the number of workers is constant the saving rate changes each period the depreciation rate changes each period
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6. The Solow model assumes:
-
- the capital stock is constant
- the number of workers is growing
- the number of workers is constant
- the saving rate changes each period
- the
depreciation rate changes each period
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Solved in 2 steps
- 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 change16 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.Answer Part B Suppose people can consume the income they earn or save and invest it at rate ?.A. If we tax wealth at a rate greater than ?, how are people likely to adjust their rate of savings? B. Use the Solow model to comment on how a wealth tax will likely affect the growth rate of the capital stock. How will this policy affect the growth rate of output per worker and how will this policy affect the wage rate for workers? C. To what extent is this wealth tax likely to reduce the influence of the wealthy in politics? D. In the Peterson Institute discussion, Greg Mankiw argues that accumulating wealth creates a pecuniary externality. What does Mankiw mean? How would you expect a wealth subsidy to affect the real wage for workers?
- 4 Consider the context of the Solow model with technical progress in an excess saving scenario, that is,the savings rate is higher than the golden rule savings rate. Imagine that the economy started is in steady state, but at time t0 the saving rate increases suddenly. Elaborate graphs that show the evolution over time of the variables mentioned in the followingparagraphs as a result of the previous event .a) Growth rate of capital per effective workerb) Growth rate of capital per workerc) Capital growth rated) Natural logarithm of capital per effective workere) Natural logarithm of capital per workerf) Natural logarithm of capitalConsider the Solow growth model with concave production function as studied in class. Supposethe economy is initially in the picture below, and currently has the level of capital stock of K0. What wouldhappen to the dynamics of capital accumulations when depreciation rate increases? Graphically denote thedirection and the speed of change/accumulation/decumulation of the capital stock, then verbally explain whythey move like so.(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…
- 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. -154. With the aid of appropriate diagrams analyse the effect of an increase in the saving rate in the Solow growth model. The variables of interest are: i. Capital per effective worker in the short run and the long run. ii. Output per effective worker in the short run and the long run. iii. The growth rate of output per effective worker in the short- and long run.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…
- Suppose people can consume the income they earn or save and invest it at rate "r". A. If we tax wealth at a rate greater than "r", how are people likely to adjust their rate of savings? B. Use the Solow model to comment on how a wealth tax will likely affect the growth rate of the capital stock. How will this policy affect the growth rate of output per worker? How will this policy affect the wage rate for workers? C. To what extent is this wealth tax likely to reduce the influence of the wealthy in politics? D. In the Peterson Institute discussion, Greg Mankiw argues that accumulating wealth creates a pecuniary externality. What does Mankiw mean? How would you expect a wealth subsidy to affect the real wage for workers?1. In the Solow model, if investment (I=sY) is lower than depreciation (dK), then…. A. Depreciation (dK) in the following period will be higher than in the current period. B. Capital stock (K) in the following period will be lower than in the current period. C. Per-capita GDP (y) in the following period will be the same as in the current period. D. Overall GDP (Y) in the following period will be higher than in the current period. The answer is B - - Can you show work for it, graph the representation for it1. Carefully draw a graph depicting steady state conditions within the Solow Growth Model framework. Carefully explain, making reference to depreciation rates and savings rates, how the steady state level of capital is determined. Now, demonstrate how the economy can grow from this point forward (in separate analyses) assuming: (a.) widespread improvements in production technology, and (b.) increases in savings rates. For each analysis show and carefully describe how the new steady state level of capital is attained.