What would the solow growth model look like if there was a production function which had...
What would the solow growth model look like if there was a production function which had diminishing productivity in the short run until point k* but after point k* the function had increasing marginal productivity? would there be another point of intersection?
Homework Answers
Yes, there could be another point of intersection in order to achieve the stable equilibrium.
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What would the solow growth model look like if there was a
production function which had...
Consider the Solow growth model with the following production function where y is output. K is ca...
A and B only
Consider the Solow growth model with the following production function where y is output. K is capital, s is the productivity and is labor. Assume that 0 < α < 1 Further, suppose that labor grows at a constant rate n. That is. 1 + n. Also, assume that capital depreciates at rate d and that gross investment in capital is fraction s of output. a Letting k-N, obtain the law of motion for capital accumulation...
returns to scale and The aggregate production function for the Solow growth model assumes returns to either labor or c...
returns to scale and The aggregate production function for the Solow growth model assumes returns to either labor or capital. _marginal increasing; diminishing. constant; diminishing. O decreasing; constant O constant; constant
Econ 202 Problems Chapter 12 – Long-run economic growth 1. The production function of an economy...
Econ 202 Problems Chapter 12 – Long-run economic growth 1. The production function of an economy is: Y= A * K0,3 * H0.7 a. What is real output when K = 10, H = 40 and A = 5? (2 point) b. Does this production function exhibit diminishing marginal productivity of capital? Calculate MPK if K increases from 10 to 20 and from 20 to 30, keeping H and A constant. Assume H = 70, A = 4. (5 points)...
11. In the Solow model the key driver of economic growth is a) accumulation of human...
11. In the Solow model the key driver of economic growth is a) accumulation of human capital b) accumulation of physical capital c) technological progress d) quality of institutions Kt+1-K The capital accumulation of physical capital is the key equation 12. Let AK+1 of the Solow model, which is the following a) Kt+1 +(1- d)K b) AK41= I+(1 - d)K c) Kt41 Ki-dK d)AK1I- K 13. According to the Solow diagram, no matter if the initial level of capital, Ko,...
12. What happens with no diminishing returns? Consider a Solow model where the production function no...
12. What happens with no diminishing returns? Consider a Solow model where the production function no longer exhibits diminishing returns to capital accu- mulation. This is not particularly realistic, for reasons discussed in Chapter 4. But it is interesting to consider this case nonetheless because of what it tells us about the workings of the Solow model. Assume the production function is now Y, = AK. The rest of the model is unchanged. (a) Draw the Solow diagram in this...
Solow Growth Model: Consider an economy with the following features: • Y = K 0.25 0.75...
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...
2. Consider a Solow growth model with Cobb-Douglas production function Y Ko (AN)-a with constant savings...
2. Consider a Solow growth model with Cobb-Douglas production function Y Ko (AN)-a with constant savings rate s, depreciation rate d and no growth in productivity or labor (gA = gN = 0) (a) Suppose A = 1, a = 1/3, s = 0.2 and 5 = 0.1 (annual). Calculate the steady state capital per worker and steady state output per worker (b) Suppose that the real wage w and real return to capital r are equal to the marginal...
Suppose an economy follows the Solow growth model, with constant investment, depreciation, and population growth rates....
Suppose an economy follows the Solow growth model, with constant investment, depreciation, and population growth rates. Please explain your answers. (a) Suppose that the government withdraws an investment tax credit leading to a permanent drop in the investment rate. Discuss the effect on the level and growth of per capita income (PCI) in the short run. What happens to the level and growth of PCI in the long-run? (b) Suppose that the economy is below its steady state level per...
2. Consider an economy which has the production function Y = AK03L07 The growth rate of...
2. Consider an economy which has the production function Y = AK03L07 The growth rate of the population is 0.01, the growth rate of productivity is 0.02, the capital depreciation rate is 0.06, and the saving rate is 0.24. In 2019, capital is 1500.0, labor is 10.0, and productivity is 15.0. In a yearly Solow growth model that allows for population and productivity growth), (a) What is the growth rate of output in the long run? (b) What is the...
4) Which country has had the fastest growth of research activity over the last 15 years?...
4) Which country has had the fastest growth of research activity over the last 15 years? a. China. b. South Korea. c. Russia. d. The United States. 5) Which of the following is an important ingredient for a poverty trap based on beliefs? a. Diminishing returns to capital. b. Strong complementarities between the actions of different people and firms. c. A corrupt government. d. Decisions that have payoffs today. 6) Which of the following features helps explain why sustained improvements...
A and B only
Consider the Solow growth model with the following production function where y is output. K is capital, s is the productivity and is labor. Assume that 0 < α < 1 Further, suppose that labor grows at a constant rate n. That is. 1 + n. Also, assume that capital depreciates at rate d and that gross investment in capital is fraction s of output. a Letting k-N, obtain the law of motion for capital accumulation...
returns to scale and The aggregate production function for the Solow growth model assumes returns to either labor or capital. _marginal increasing; diminishing. constant; diminishing. O decreasing; constant O constant; constant
Econ 202 Problems Chapter 12 – Long-run economic growth 1. The production function of an economy is: Y= A * K0,3 * H0.7 a. What is real output when K = 10, H = 40 and A = 5? (2 point) b. Does this production function exhibit diminishing marginal productivity of capital? Calculate MPK if K increases from 10 to 20 and from 20 to 30, keeping H and A constant. Assume H = 70, A = 4. (5 points)...
11. In the Solow model the key driver of economic growth is a) accumulation of human capital b) accumulation of physical capital c) technological progress d) quality of institutions Kt+1-K The capital accumulation of physical capital is the key equation 12. Let AK+1 of the Solow model, which is the following a) Kt+1 +(1- d)K b) AK41= I+(1 - d)K c) Kt41 Ki-dK d)AK1I- K 13. According to the Solow diagram, no matter if the initial level of capital, Ko,...
12. What happens with no diminishing returns? Consider a Solow model where the production function no longer exhibits diminishing returns to capital accu- mulation. This is not particularly realistic, for reasons discussed in Chapter 4. But it is interesting to consider this case nonetheless because of what it tells us about the workings of the Solow model. Assume the production function is now Y, = AK. The rest of the model is unchanged. (a) Draw the Solow diagram in this...
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...
2. Consider a Solow growth model with Cobb-Douglas production function Y Ko (AN)-a with constant savings rate s, depreciation rate d and no growth in productivity or labor (gA = gN = 0) (a) Suppose A = 1, a = 1/3, s = 0.2 and 5 = 0.1 (annual). Calculate the steady state capital per worker and steady state output per worker (b) Suppose that the real wage w and real return to capital r are equal to the marginal...
2. Consider an economy which has the production function Y = AK03L07 The growth rate of the population is 0.01, the growth rate of productivity is 0.02, the capital depreciation rate is 0.06, and the saving rate is 0.24. In 2019, capital is 1500.0, labor is 10.0, and productivity is 15.0. In a yearly Solow growth model that allows for population and productivity growth), (a) What is the growth rate of output in the long run? (b) What is the...
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