Classical Growth theory predicts that O aggregate income always returns to the subsistence income O log run population will be constant O long run income per capita always returns to the subsistence income O aggregate output always returns to the subsistence income
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- Show that, when using a traditional economic production function,doubling our population can double our output if capital stocks alsodouble. Use the production function: Q = AK L , where A representstechnology in an economy, K capital, and L labor. Double K and L andshow that Q also doubles, assuming α=β=1/2. Now show that, when we incorporate natural capital into thediscussion, doubling the population does not increase output in thesame way (since natural capital cannot also grow). Use theproduction function: Q = AK L N , where N is natural capital. DoubleK and L and show that Q less than doubles, assuming α=β=γ=1/3.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?Assume that real GDP per capita in Country X is currently $50,000 per person. Also, assume that real GDP per capita in Country X grows at a rate of 2% per year. Rounding to the nearest 2 decimals, the real GDP per person in Country X in 10 years will be approximately 3.7 points Save Answ O a. $66,124 O b. $60,000 O. $58,272 Od. $61,000
- 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?Exercise 2: Growth and developmentCountries 1 and 2 have the production function: Yt = AiKαt L1−αt , where country 1 hasTotal Factor Productivity (TFP) of A1 = 25, country 2 has TFP A2 = 100, and α = 0.35for both. In the two countries population is constant and there is no technological progress.Every year capital depreciates by 6% in both countries. Country 1 saves 40% of output, andcountry 2 saves 20%.a) Write down the function of production per unit of labor. Suppose the two countriesstart with an initial capital stock (per unit of labor) of 500, what are the initial income andconsumption per unit of labor in both countries?b) Determine their steady state levels of capital, income and consumption per unit oflabor.c) Determine the difference in their steady state level of income per unit of labor, andhow much of that difference is due to differences in TFP and how much is due to differencesin capital per unit of labor.d) Suppose now that country 2 suddenly has access to the country 1…PER CAPITA OUTPUT to YEAR In the Romer model in figure above, at time to, a change in the shape of the production function can be explained by an increase in the: Select one: O a. ideas efficiency parameter. O b. population. O c. saving rate. O d. share of labor engaged in research. O e. growth rate.
- 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?What does the positive and statistically significant correlation suggest about real income per capita as a measure of welfare? O A. Since correlation does not mean causality, real income per capita should not be used to measure welfare O B. Real income per capita is a reliablethough not perfect-indicator of human welfare within and across countries. O C. Correlation is a statistical quirk and suggests nothing about the use of real income per capita as a measure of welfare O D. Real income per capita can be trusted to give unquestionable assessments of human welfare within and across countriesA country faces diminishing marginal returns when increasing it's capital stock. If this country added 1,000 units of capital last year and saw their GDP rise by $500 per person, what would you expect to happen if they had added 2,000 units of capital instead? O GDP would increase by another $500 per person O GDP would increase by less than another $500 per person O GDP would increase by more than another $500 per person O It is impossible to tell what would happen What is a potential downside of using patents to promote the creation of new technology? Without a market test, patents might be given to technology which ends up being useless. O Government money may be directed towards unproductive goals. It slows the spread and development of those ideas by restricting competition. They prohibit competition forever. What is the law of diminishing marginal returns?
- What do the growth accounting studies conclude are the determinants of growth? Which is more important, the determinants or how they am combined?An economy starts off with a GDP per capita of 5,000. How large will the GDP per capita be if it grows at an annual rate of 2 for 20 years? 2 for 40 years? 4 for 40 years? 6 for 40 years?Select one or more: O a. If Country C's GDP per capita rises from $2,500 to 7,500, and Country D's GDP per capita rises from $6,000 to 18,000, the ratio of GDP per capita between the two countries is unchanged. O b. If a country's GDP doubles every 50 years on a ratio scale graph against time it will rise at an increasing rate. O c. Country B is growing a higher percentage rate than Country A, but Country A is 5 times richer than Country B. On a linear scale graph against time the gap between the two lines must be narrowing. O d. Country E is growing at the same percentage rate as Country F, but Country E is 3 times richer than Country F. On a log scale graph against time the gap between the two lines will be constant.