Assume a Cobb-Douglas production with capital share 1/3; total factor productivity equal to 1, total population in an economy is equal to 1, depreciation rate is 5 percent and saving rate is 10 percent. Then the steady-state level of capital is about: О а. 1.3 O b. 0.3 о с. 0.8 O d. 2.8
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- Assume a Cobb-Douglas production with capital share 1/3; total factor productivity equal to 1, total population in an economy is equal to 1, depreciation rate is 5 percent and saving rate is 10 percent. Then the steady-state level of capital is about: a. 0.3 b. 0.8 c. 2.8 d. 1.6 e. 1.3QUESTION 1 Assume a Cobb-Douglas production with capital share 1/3; total factor productivity equal to 1, total population in an economy is equal to 1, depreciation rate is 5 percent and saving rate is 10 percent. Then the steady-state level of capital is about: a. 0.8 b. 1.6 c.1.3 d.2.8 e. 0.3Question 2 If a natural disaster destroys a large portion of a country's capital stock but the saving and depreciation rates are unchanged, the Solow model predicts that the economy will grow and eventually reach:a. A lower steady-state level of output than it would have before the disasterb. None of these answers is correctC. The same steady-state level of output as it would have before the disasterd. A higher steady-state level of output than it would have before the disaster e. Not enough information is given QUESTION 3 Suppose you are given the data for Brazil and Portugal. In Brazil, the saving rate is 0.1 and the depreciation rate is 0.1, while in Portugal saving rate is 0.2 and the…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?
- 1 1 1. Assume that a country's production function is Y = K2L2. Assume there is no population growth or technological change What is labor productivity computed from the per-worker production function? Is this value the same as labor productivity computed from the original production function а. b. Assume that 10 percent of capital depreciates each year. What gross saving rate is necessary to 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.)4. Assume an endogenous growth model with a production function that in per capita terms can be written as y = 0.8k. If the savings rate is s = 0.3, the rate of growth of population is n = 0.03, and the rate of depreciation is d = 0.1, how high is the rate of growth of output per capita? А. 14% В. 17% C. 13% D. 11% E. There is not enough information to calculate it.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) -
- Assume a Cobb-Douglas production with capital share 1/3; total factor productivity equal to 2, total population in an economy is equal to 1, the steady-state level of capital stock is 8.0. Then the steady-state level of output is about: a. 4.0 b. 2.0 c. 22.6 d. 8.0 e. 45.4In the Solow Growth accounting model with a capital share of 40% if total factor productivity growth 2% a year, labor grows 1% a year and the capital stock grows 4% a year then output grows 7% a year 4.2% a year 5.2% a year 3.9% a yearUse the following table to find the steady-state values of the capital-labor ratio and output if the per-worker production 03 function is y=2k S Saving rate 8 Depreciation rate n Population growth rate A Technology 0.35 0.02 0.06 2 k* = Steady-state capital-labor ratio = y*= Steady-state output = (Round your responses to two decimal places.) CHILD Output, Investment, and Depreciation Capital-Labor Ratio Output Depreciation Investment After plotting the final point of your multipoint curve, press the Esc key on your keyboard to end the line Q
- 1. Suppose that a country's production function is Y = 2VKVAN and that the savings rate, s, is equal to 20% and the depreciation rate, 6, is 10%. Suppose further that the labor force grows by 1% each year and that the rate of technological progress is 6% per year. Part (a): Calculate the values of (i) the steady-state level of capital per effective worker (ii. the steady-state level of output per effective worker (iii) the growth rate of output per effective worker (iv) the growth rate of output per worker (v) the growth rate of output Part (b): Suppose that the labo force now grows at 5% per year. Calcu- late the changes in the values obtained in part (a). Compare parts (a) and (b) and comment.4. Assume an endogenous growth model with a production function that in per capita terms can be written as y = 0.8k. If the savings rate is s = 0.3, the rate of growth of population is n = 0.03, and the rate of depreciation is d = 0.1, how high is the rate of growth of output per capita? %3D A. 14% B. 17% C. 13% D. 11% E. There is not enough information to calculate it.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: %