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- If half of the capital decreased,what will be the new steady state level of capital per capita? Draw a picture.(Solow Model)2b. “The Solow model shows that the higher the rate of population growth, the higher the steady-state levels of capital per worker and output per worker because more population means more worker so more output”. Do you agree with the statement? Graphically explainWhich of the following two countries A and B ceteris paribus do you expect to have the higher steady-state level of GDP per capita? Moreover, which country do you expect to grow faster? For this, you may assume that both countries will initially start their growth paths below their corresponding steady states. a) The two countries have initially the same levels of GDP per capita but country A has a higher savings rate . b) The two countries have initially the same levels of GDP per capita but population in country A grows at a rate of 10% while in country B population grows at a rate of 8%. c) The two countries have initially the same levels of GDP per capita but the average educational attainment of workers in country A is about 1.2 times higher than in country B.
- Consistent with the data, the Solow model shows that there is correlation between the population growth rate and real GDP per capita. Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer. a b C a positive a negative zeroIn Solow model, we assumed that population growth rate is irrelevant to saving rate and technological progress. In this question, we will relax this assumption. Assume that population growth would reduce technological progress, what would happen to the steady state level of capital per capita? What if otherwise population growth increases technological progress? Explain mathematically and graphically.In the Solow model, if investment per-worker initially exceeds saving per-worker, how isthe steady-state capital per worker reached? Draw a graph to support your answer
- If Y = A*(K*L)^.5 a. What is the equation for the steady state capital per worker k* in terms of savings rate deprectation rate population growth rate and technology? b. If technology doubles how much does the steady state of capital increase by?> Consider the data in the table below: Per capita GDP, 2017 Saving rate (%) TFP (Ā) United States 1.000 23.5 1.000 Switzerland 1.151 28.8 1.052 Answer the following questions using the Solow growth model. 9. Assuming no differences in TFP (ignore the last column) and no differences in the rate of depreciation between the U.S. and Switzerland, use the data in the table to predict the ratio of per capita GDP of Switzerland relative to that of the U.S. in the steady states. How much percent richer is Switzerland than the U.S. in steady state? 10. Now do the same exercise assuming TFP is given by the levels in the last column. Now how much percent richer is Switzerland than the U.S. in steady state? Consider the data in the table below: Per сapita GDP, 2017Q5 Suppose in a Solow model, we have the following parameter values: n = 0, s = 0.5, a = 0.3. There is no growth in the total factor productivity so that A, = A = 1. Moreover, we know that at time 0, the economy is at a steady state so that k = k, =1. Now imagine that a foreign power invaded this %3D country. 1% of the population was killed and another 14% of the population fleeded the country to avoid violence. Moreover, 15% of capital stocks were destroyed. All of this happens in period t=1. After that, the war ended and there was no more destruction of capital or loss of population (but the refugee permanently settled outside of the country and will never return0. What is the growth rate of per-capita output in period t =4?
- Consider the Swan-Solow model of economic growth. In questionsa) Briefly define the steady state and show it in your diagram. b) A major shift in people’s values causes them to save less and spend more as a percentageof their income. Analyse the effects of this change on each of the curves in your diagram,and find the new steady state. Briefly discuss your finding in the context of economicgrowth.when a country adds capital what is it doing to its productivity and GDP? Which variable in the Solow Model equation is it changing?Based on article "Technology and economic growth: From Robert Solow to Paul Romer" by Rui Zhao, Solow mentioned technology (At) and capital per unit of effective labor (Kt) have a significant influence on a country's ability to “catch-up” or “converge” to a steady-state level (K*). Using the central equation of the Solow model, discuss the influence of At and Kt on country's ability to grow and move to a steady-state level (K*).
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