The level of U.S. output in 50 years will be S trillion (Round your response to two decimal places) The level of Chinese output in 50 years will be $ trillion (Round your response to two decimal places) How many years will it take for China to have a total level of output equal to that of the United States?
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- The below figure shows the investment rates (or saving rates) for Albania, Botswana, and Turkey from 1970 to 2014. Everything else equal, using the Solow model, which country would you anticipate to have the highest growth rate during the last 10 years? 70% 60% 50% 40% Mamy 30% 20% 10% 0% Albania -Botswana 1970 1973 O Albania O Botswana -----Turkey 1976 1979 1982 1985 1988 1991 1994 1997 2000 2003 2006 2009 2012 Turkey O Based on the Solow model, they should all have the same growth rate.Between 1970 and 2005, Chinaâs GDP per capita grew at an average rate of 7.3% per year while GDP per capita in the US grew at an average rate of 2.2%. In 2005, US GDP per capita was $36,806 and Chinese GDP per capita was $5,955. Assuming that the two countries continue to grow at these rates, in what year will China overtake the US in terms of GDP per capita?The following table shows the GDP per capita of various countries forthe years 1960 and 2010 in PPP-adjusted 2005 dollars. The table alsocontains the implied growth rates, which show how much on average eachcountry needed to grow each year to reach the 2010 level of GDP per capitastarting from the 1960 level of GDP per capita. Use the table to answer thefollowing questions. 1. During 1960-2010, which countries were able to reduce the gap betweentheir GDP per capita and the U.S. GDP per capita?
- The following table shows the GDP per capita of various countries forthe years 1960 and 2010 in PPP-adjusted 2005 dollars. The table alsocontains the implied growth rates, which show how much on average eachcountry needed to grow each year to reach the 2010 level of GDP per capitastarting from the 1960 level of GDP per capita. Use the table to answer thefollowing questions. 1. During 1960-2010, which countries failed to reduce the gap betweentheir GDP per capita and the U.S. GDP per capita?Question 1:In Ghana, the capital share of GDP is about 40 percent, the average growth in output is about2 percent per year, the depreciation rate is about 3 percent per year, and the capital–output ratiois about 1.5. Suppose that the production function is Cobb–Douglas and that Ghana has beenin a steady state.a. What must the saving rate be in the initial steady state? [Hint: Use the steady-staterelationship, sy = (δ + n + g)k.]b. What is the marginal product of capital in the initial steady state?c. Suppose that public policy alters the saving rate so that the economy reaches the GoldenRule level of capital. What will the marginal product of capital be at the Golden Rule steadystate? Compare the marginal product at the Golden Rule steady state to the marginal productin the initial steady state. Explain.d. What will the capital–output ratio be at the Golden Rule steady state? (Hint: For the Cobb–Douglas production function, the capital–output ratio is related to the marginal product…5. Suppose that the Country of Eldesarrollo has a gross savings rate of 25%, a depreciation rate of 3%, an incremental capital-output ratio of 2.75, a population growth rate of 1.5% per year, and a per capita income of $1500. a. Using the Harrod-Domar (or AK) growth model, calculate the implied rate of growth of total GNI in Eldesarrollo. b. What is the implied rate of growth of GNI per capita? c. How much would the rate of gross savings have to increase to raise the growth rate of total GNI to 9%? d. Suppose that one-quarter of all investment is completely wasted in Eldesarrollo. Returning to the original numbers, what is the resulting effective ICOR, and what is the corresponding new implied growth rate of total GNI?
- Suppose that in the year 2020 there are two different countries-Sparta and Rome each with a real GOP per capita of $45,000 Real GDP per capita in Sparta grows at a rate of 2.2% per year. Real GDP per capita in Rome grows at a rate of 1.7% per year. Assume these growth rates continue. Using the Rule of 70, how many years will it take for the countries to hieve a real GDP per capita of $90,000 per year? 37 years for Sparta and 45 years for Rome O 32 Years for Sparta and 70 Years for Rome O 70 years for Sparta and 41 years for Rome O 32 years for Sparta and 41 years for Rome O 35 years for Sparta and 45 years for RomeSuppose China’s GDP is growing by 7% a year and its population grows by 1% a year. Also suppose that US GDP grows by 3% a year and its population grows by 1% a year, and that in 2019 US GDP is 1.5 times China’s while US population is one quarter of China’s. If these growth rates continue By what year will China’s GDP double? Its population? Its per capita GDP?In what year will China’s GDP equal US GDP?In what year will China’s GDP per capita equal US GDP per capita?1. The population of the world in 2003 was 6.314 billion. It grew between 1975 and 2003 at an annual rate of 1.6%. Assume that it continues to grow at this rate. Compute the doubling time. а. b. Estimate the world population in 2048 and 2093 (assuming all other things remain unchanged). 2. Suppose a country's population grows at the rate of 2% per year and its output grows at the rate of 3% per year. а. Calculate its rate of growth of per capita output. b. If instead its population grows at 3% per year and its output grows at 2% per year, calculate its rate of growth of per capita output. 3. Suppose an increase in air pollution causes capital to wear out more rapidly, doubling the rate of depreciation. How would this affect economic growth?
- Assume that a country's per-worker production is y = k1/2, where y is output per worker and kis capital per worker. Assume also that 10 percent of capital depreciates per year (= 0.10) 2 andthere is no population growth or technological change.a. If the saving rate (s) is 0.4, what are capital per worker, production per worker, andconsumption per worker in the steady state?b. Solve for steady-state capital per worker, production per worker, and consumption perworker with s = 0.6.c. Solve for steady-state capital per worker, production per worker, and consumption perworker with s = 0.8.d. Is it possible to save too much? Why?The following table shows the GDP per capita of various countries forthe years 1960 and 2010 in PPP-adjusted 2005 dollars. The table alsocontains the implied growth rates, which show how much on average eachcountry needed to grow each year to reach the 2010 level of GDP per capitastarting from the 1960 level of GDP per capita. Use the table to answer thefollowing questions. 1. Why have some countries reduced the gap between their incomes andthat of the United States and other countries failed to do so?E1 Which of the following policies would likely increase productivity all else the same? A increasing legal rights for property owners B increasing in taxes on foreign portfolio investment C decreasing spending on education D decreasing spending on research and development