Assume that you know that there are only two factors, capital and labour, and that aggregate capital income = $1.25 billion aggregate labour income = $4 billion capital stock growth rate = 1.2 percent employment growth rate = 2.8 percent output growth rate = 3.7 percent. then the average annual rate of aggregate technological progress is (1) 9.00 percent. (2) -0.30 percent. (3) 7.70 percent. (4) 1.28 percent
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Assume that you know that there are only two factors, capital and labour, and that aggregate capital income = $1.25 billion aggregate labour income = $4 billion capital stock growth rate = 1.2 percent employment growth rate = 2.8 percent output growth rate = 3.7 percent. then the average annual rate of aggregate technological progress is (1) 9.00 percent. (2) -0.30 percent. (3) 7.70 percent. (4) 1.28 percent
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- Q)1 a) Canada's real GDP was 2,016 billion dollars in 2017 and 2,053 billion dollars in 2018. Canada's population growth rate in 2018 was 0.8 percent. Calculate Canada's economic growth rate and growth rate of real GDP per person in 2018. b) Calculate the approximate number of years it will take for real GDP per person to double if an economy maintains an economic growth rate of 12 percent a year and a population growth rate of 7 percent a year.Suppose that in Country 1 the growth rates of multifactor productivity (a), capital (k), and labor (h) are 2.5, 3, and 1 percent per year, respectively, and that capital’s share of output (b) equals 0.25. Initially output per hour equals 40 in Country 1 and 10 in Country 2. (a) Calculate the labor productivity growth rate in Country 1. (b) Calculate output per hour in Country 1 at the end of ten, twenty, and thirty years. (c) Suppose that the labor productivity grows four times as fast in Country 2 as it does in Country 1 for the first ten years, three times as fast for the second ten years, and twice as fast for the third ten years. Calculate output per hour in Country 2 at the end of ten, twenty, and thirty years. (d) Calculate Country 2’s output per hour as a percentage of Country 1’s output per hour at the end of ten, twenty, and thirty years. Are these calculations consistent with the predictions of the Solow growth model?1 1 1. Assume that a country's production function is Y = K2L2. Assume there is no population growth or technological change = f(k)? b. Assume that 10 percent of capital depreciates each year. What gross saving rate is necessary to What is the per-worker production function y а. make the given capital-labor ratio the steady-state capital-labor ratio? (Hint: In a steady state with no population growth or technological change, the saving rate multiplied by per-worker output must equal the depreciation rate multiplied by the capital-labor ratio.) (Ctrl) -
- 1. Country A has a capital-labor ratio that is initially twice as big as that of country B, but neither is yet in a steady state. Both countries have the same production function: f(k) = 6k^1/2 Country A has a 10% saving rate, 10% population growth rate, and 5% depreciation rate, while country B has a 20% saving rate, 10% population growth rate, and 20% depreciation rate. a. Calculate the steady-state capital-labor ratio for each country. Does the initial capital-labor ratio affect your results? b. Calculate output per worker and consumption per worker for each country. Which country has the highest output per worker? The highest consumption per worker?Suppose that for a particular country, the savings rate is 20%, the capital–output ratio is 4, the depreciation rate is 1%, and the rate of growth of the population is 2% per year. a) Calculate the rate of growth of overall GDP. b. What is the rate of per capita GDP growth? c. What should the savings rate be to get the growth rate of overall GDP to 8%?Q5) Solow Growth Model Based on Abel, Bernanke and Croushore, 10th edition, Chapter 6, Numerical Problems No. 5. An economy has the per-worker production function Yt = 3k95 where Yt is output per worker and k, is the capital-labor ratio. The depreciation rate is 8 = 0.1, and the population growth rate is n = 0.05. Saving is St = 0.3Y; where S; is total national saving and Y, is total output. a. Define the steady state of this economy. (Hint: see definition in slides.) b. What are the steady-state values of the capital-labor ratio, output per worker, and consumption per worker? c. Repeat Part (a) for a saving rate of 0.4 instead of 0.3.
- Country A and country B have the same Cobb-Douglas production function except country A has a capital stock of 5,000, a population of 12,000 and employment of 10,000. Country B has a capital stock of 8,000, a population of 24,000 and employment of 20,000. Technology, national saving rate, depreciation rate and population growth rate are the same in the two countries Today country B has a higher standard of living but country A will catch up. Today country B has a higher standard of living and country A will not catch up. Today country A has a higher standard of living but country B will catch up. Today country A has a higher standard of living and country B will not catch up.Population Growth and Technological Progress-Work It Out An economy has a Cobb-Douglas production function: Y = K (LE)¹- The economy has a capital share of 0.20, a saving rate of 49 percent, a depreciation rate of 4.00 percent, a rate of population growth of 1.50 percent, and a rate of labor-augmenting technological change of 4.0 percent. It is in steady state. a. At what rates do total output and output per worker grow? Total output growth rate: Output per effective worker is constant in the steady state and does not change. increases in the steady state. declines in the steady state. % Output per worker growth rate: %Economic Growth II- Work It Out Question 1 An economy has a Cobb-Douglas production function: Y = K (LE)¹- The economy has a capital share of 0.35, a saving rate of 45 percent, a depreciation rate of 5.00 percent, a rate of population growth of 5.50 percent, and a rate of labor- augmenting technological change of 4.0 percent. It is in steady state. c. The economy has capital than at the Golden Rule steady state. To achieve the Golden Rule steady state, the saving rate needs to d. Suppose the change in the saving rate you described in part c occurs. During the transition to the Golden Rule steady state, the growth rate of output per worker will be the rate you derived in part a. After the economy reaches its new steady state, the growth rate of output per worker will be
- In 2019 a country has 7.48% growth in real gdp, and uses two factors of production: capital (K) and labor (L). In the table below you see the growth rates of the factors of production. Assume that the share of capital in the production is 40% and the share of labor in production is 60%. Capital (K) Labor (L) A country 4.67% 1.89% How much does growth in capital contribute to GDP growth? Write your answer as a percentage, round at two (2) decimals and do not write the percentage sign.Exercise 4: Growth and capital over-accumulationSuppose two countries, A and B, with the same production function Y = KαL1−α. Thevalue of α is 0.30, the growth rate of population is 2% and the depreciation rate is 5%.a) Show that with price-taking firms the share of labor must be 1 − α.b) Compute the stock of capital, output and consumption per unit of labor in the steadystate if the savings rates were 25% for country A and 35% for country B.c) Compare both economies to the Golden Rule.d) Explain what would happen to both countries if suddenly their savings rate becamethe Golden Rule savings rate.Population Growth and Technological Progress – Work It Out PLEASE WRITE ANSWERS CLEARLY An economy has a Cobb-Douglas production function: Y = K“(LE)'-a The economy has a capital share of 0.30, a saving rate of 42 percent, a depreciation rate of 4.00 percent, a rate of population growth of 5.25 percent, and a rate of labor-augmenting technological change of 3.5 percent. It is in steady state. b. Solve for capital per effective worker (k*), output per effective worker (y*), and the marginal product of capital. k* = y* = marginal product of capital =