Economic Growth I – Work It Out Question 2 Consider an economy described by the production...
Economic Growth II — Work It Out Question 2 In the nation of Wooknam, the capital share of GDP is 35 percent, the average growth in output is 3.0 percent per year, the depreciation rate is 5.0 percent per year, and the capital-output ratio is 4.5. Suppose that the production function is Cobb- Douglas and that Wooknam has been in a steady state. Round answers to two places after the decimal when necessary. a. In the initial steady state, what...
Economic Growth II — Work It Out Question 2 In the nation of Wooknam, the capital share of GDP is 40 percent, the average growth in output is 3.0 percent per year, the depreciation rate is 6.5 percent per year, and the capital output ratio is 4.5. Suppose that the production function is Cobb! Douglas and that Wooknam has been in a steady state. Round answers to two places after the decimal when necessary. c. Suppose that public policy alters...
Economic Growth II - Work It Out Question 1 An economy has a Cobb Douglas production function: Y = K (LE). The economy has a capital share of 0.20, a saving rate of 50 percent, a depreciation rate of 3.50 percent, a rate of population growth of 4.00 percent, and a rate of labor augmenting technological change of 2.5 percent. It is in steady state. a. At what rates do total output and output per worker grow? Total output growth...
Economic Growth II — Work It Out Question 1 An economy has a Cobb-Douglas production function: Y = K (LE)-a The economy has a capital share of 0.25, a saving rate of 47 percent, a depreciation rate of 4.00 percent, a rate of population growth of 2.25 percent, and a rate of labor-augmenting technological change of 2.5 percent. It is in steady state. a. At what rates do total output and output per worker grow? Total output growth rate: %...
3. The land of Grim can be described by the following production func- tion Y = KÈL Moreover, there is no population growth nor is there technological progress. (a) Find the steady-state capital stock per worker, output per worker, and consumption per worker as a function of the saving rate and the depreciation rate. (b) Research shows that the depreciation rate in the Land of Grim is 10% per year. Make a table showing steady-state capital per worker, output per...
An economy has a Cobb-Douglas production function: Y = K"(LE)!-a The economy has a capital share of 0.25, a saving rate of 40 percent, a depreciation rate of 3.00 percent, a rate of population growth of 0.75 percent, and a rate of labor- augmenting technological change of 2.0 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.
all but part a 2. (Population growth and technology growth) Consider an economy that is described by the production function Y depreciation rate of capital is 6 n 0.05 and the technology growth rate is g = 0.1 K (LE). Moreover the 0.15, the population growth rate is (a) What is the per effective worker production function, that is y ? What is the marginal product of capital, that is ? (b) If the saving rate is s 0.3, find...
Consider an economy described by the production function: Y = F(K, L) = (0.25 0.75 a. What is the per-worker production function? y= b. Assuming no population growth or technological progress, find the steady-state capital stock per worker (k*), output per worker (y*), and consumption per worker (c*) as a function of the saving rate and the depreciation rate. k* = y* =
Solow Growth Model: Consider an economy with the following features: • Y = K 0.25 0.75 • 8 = 0.02 • n=0 . g=0 i. Does the production function exhibit decreasing, constant, or increasing returns to scale? How do you know? ii. Determine MPK. Tii. Does the production function exhibit increasing, constant, or diminishing marginal product of labour? How do you know? iv. Re-express the production function in per worker terms. v. Determine the value of k in three periods...
An economy has a Cobb-Douglas production function: Y = K°(LE)1-a The economy has a capital share of 0.25, a saving rate of 43 percent, a depreciation rate of 3.00 percent, a rate of population growth of 4.25 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* = 2.83 y* * = 1.30 =...