Suppose the economy is on a balanced growth path in the Romer model, and then, in the year 2030, ̄l (lower case L bar) decreasesimmediately and permanently to the new level ̄l′ (lower case L bar one). (a) Solve for the new growth rate of knowledge and yt. (b) Make a graph of yt over time using a ratio scale
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Suppose the economy is on a balanced growth path in the Romer model, and then, in the year 2030, ̄l (lower case L bar) decreasesimmediately and permanently to the new level ̄l′ (lower case L bar one).
(a) Solve for the new growth rate of knowledge and yt.
(b) Make a graph of yt over time using a ratio scale.
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- An increase in research productivity: Suppose the economy is on a balanced growth path in the Romer model, and then, in the year 2030, research pro-ductivity z rises immediately and permanently to the new level z r. (a) Solve for the new growth rate of knowledge and yt.(b) Make a graph of yt over time using a ratio scale.You are asked to perform a growth accounting analysis for Ethiopia to inform policy makers. Output growth in Ethiopia was 5% per year during the period 2012- 2022. Employment growth was 3% per year and capital was growing by 10% in the same period. Suppose that the capital share in income is 0.3 and that there are constant returns to scale. c) What was the annual growth rate of output per worker? Of capital per worker? d) What was the growth in total factor productivity (technical progress)?Using logarithmic form of this GDP production function compute the TFP contribution to GDP growth rate assumingalpha=0.4, beta=0.50 while GDP growth rate is 4.0 percent, capital stock growth rate is 5percent, labor growth 3percent and human capital growth 2 percent.
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- Consider an economy with a Cobb-Douglas production function with α = 1/3 that begins in steady state with a growth rate of technological progress of g of 2 percent. Consider what happens when g increases to 3 percent. (a) What is the growth rate of output per worker before the change? What happens to this growth rate in the long run? (b) Perform a growth accounting exercise for the economy, decomposing the growth rate in output per capita into components contributed by capital per capita growth and technology growth. What is the contribution of the change in g to output per capita growth according to this formula? (c) In what sense is the growth accounting result in part b producing a misleading picture of this experiment? Explain why this is the case.11) The relationship between the growth rate of an economic variable, gt, and its level, yt, can be approximated by A) gt = yt - yt - 1. B) gt = logt - log yt - 1. C) yt = log gt - log gt - 1. D) log gt = yt - yt - 1. 12) The business cycle component of the log of real per-capita GNP is equal to A) log of actual real GNP - log of trend GNP. B) log of trend GNP ÷ log of actual real GNP. C) log of trend GNP - log of actual real GNP. D) log of actual real GNP ÷ log of trend GNP. 13) For the study of economic growth, it is most helpful to examine movements in ________; for the study of business cycles, it is most helpful to examine movements in ________. A) trend GNP; trend GNP B) trend GNP; deviations from trend in GNP C) deviations from trend in GNP; trend GNP D) deviations from trend in GNP; deviations from trend in GNP 14) Over the twentieth century, growth in per-capita GNP was highest A) immediately prior to the Great…If an economy annual real GDP growth rate reduces from 8.2 percentage, its real GDP doubling time will.......... A) reduce by 3.53 year B) increase by 8.4 year C) reduce by 9.3 year D) increase by 18.5 year