Statistics indicate that the world population since world war II has been growing exponentially. If we assume exponential growth, the world population can be modeled by P (t) = 3(1.013) where P(t) is the world population in billions and t is the time in years since 1999. When (which year) will the population reach 12 billion? {your final answer just number without decimal}
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- Gross domestic product per capita is the ratio of total gross domestic product to population.gross domestic product, a unit of timemonetary value of the final goods and services produced in the economy (let be in TL) and population, unitaccording to the number of people in that economy at the time,a) write down the unit of measure and size of the gross domestic product variable per capita. b) what is the relationship between gross domestic product per capita, total gross domestic product and population growth?Express your conclusions in a sentence by making inferenceQuestion 2 Calculate new HDI for Egypt using the given actual values from Egypt: Actual life expectancy at birth: 73.5 Mean years of schooling: 6.4 Expected years of schooling: 12.1 GNI per capita: 5,401 How would you classify Egypt based on the NHDI you found? Click on reveal once you are done calculating NHDI (0.662) Full explain this question and text typing work only thanksUS real GDP 2021: $21.12T. US population: 330 million. China real GDP 2021 $12T. China population: 1.5 billion. (these figures are hypothetical). Assume the Chinese real GDP is growing at 7%/year. a. what will be the (approximate) Chinese real GDP in 2031? b. In what year will Chinese real GDP per capita equal (approximately) the 2021 US real GDP per capita?
- How large will Canada’s GDP be in 25 years? The answer depends on what the rate of growth in GDP will be over that 25-year period. A mathematical formula we can use for this calculation is the following: GDP2041 = GDP2016 (1 + g)25 where GDP2041 is the level of GDP in the year 2041, GDP2016 is the level of GDP in the year 2016, and g is the rate of growth in GDP. Assume that GDP in 2016 is $1000 million and assume that the value of g is 0.035 (3.5 percent per year). What will be the value of GDP in 2041? Now suppose that the value of g is 0.040 (4.0 percent per year). What will be the value of GDP in 2041 given this slightly larger rate of growth? What does this result say about the importance of policies that promote even slightly faster rates of growth in GDP?Suppose we have the following data given to us in this table. Year Real GDP Nominal GDP Population 2010 11,306 12,860 50 2020 12,844 13,382 47 Given this data, we would expect the quality of life to have increased by what percentage over the last 10 years? Answer this as a percentage and round your answer to two digits after the decimal without the percentage sign. ex. If you found the rate to be 5.125%, answer 5.13.Consider Romer Model 2. Suppose there are two countries, rich and poorone. Both countries have the same population size, L and the same knowledgegeneration productivity parameter, z. At the beginning, time 0, the rich countryhas more knowledge stock than the poor one, Ar0 > Ap0, where subscript labelstime and superscript labels country being rich or poor. However, the fractionof researchers in poor country is larger than the one in rich country, ̄lp > ̄lr .Question 4 Part aIn which country, would you prefer to live in the short-run? How about in thelong-run?How long would it take for the poor country to reach rich one’s per capitaoutput level? Show your results analytically and graphically as well. (If you pre-fer solving this question numerically by assigning values to the above parametersand variables, feel free to do so
- let I(t) be the rate of investment. The total of capital accumulation Kduring the time interval [a,b] can be estimated by the formula in the picture, then calculate a. Total of capital accumulation between 3rd and 8th years given by rate of investment I(t) = 8√t + 0.5 b. Total of capital accumulation between 1st and 4th years given by rate of investment I(t) = ln tThe 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?Suppose a country has a real GDP per capita of $68,000 and grows at a constant rate for the next 36 years. How much larger (in percentage terms) is this country if its growth rate is 4.33% instead of 3.13% after 36 years of growth? Answer this as a percentage and round your answer to two digits after the decimal without the percentage sign. ex. If you found the rate to be 5.125%, answer 5.13.
- Sweden and Norway are two neighboring countries in Northern Europe with similar savings rates, population growth rates, technology growth rates, and depreciation rates. However, Norway differs from Sweden in that Norway has large deposits of oil all along its coast, which makes it very easy for Norway to produce large quantities of crude oil every year with relatively little capital and labor. a) Draw a Solow Growth diagram that compares Sweden and Norway. What is the main difference between the two countries in the diagram? b) According to the Solow Growth Model, which country would have a higher standard of living in the long run? Which country would have a higher growth rate of its standard of living in the long run? c) Suppose now that, in the long run, oil becomes obsolete and has no value because it is uneconomical relative to renewable energy sources like solar and wind power. What would this do to your Solow Growth diagram in part a? How would the standard of living in Norway…Assume that a E (0, 1). Draw a diagram that describes the evolution of kt, and show that there exists a unique steady state, k* > 0. Label properly. Find the expressions for the steady state variables k*, y*, and c* in terms of the parameters of the model. , Now, assume that α = 1. Draw a diagram that describes the evolution of kt, and show that income per worker can grow indefinitely in this case. Label properly.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?