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Consider the following production function for an economy: 1. Y=2K1/4L3/4 (a) Suppose the capital stock is...
Consider an economy described by the following production function: Y=K0.2L0.8 Suppose the depreciation rate is 10%....
Consider an economy described by the following production function: Y=K0.2L0.8 Suppose the depreciation rate is 10%. Explain what the golden rule level of capital is. For this economy, calculate the golden rule level of capital per worker, output per worker, depreciation per worker and consumption per worker. Plot the results obtained in (b) above. Calculate the saving rate that would give the golden rule level. Explain what happens to the consumption level if the saving rate departs from the one...
3)- Consider an economy with the production function: Y=4K0.6 No.4, in the framework of the Solow...
3)- Consider an economy with the production function: Y=4K0.6 No.4, in the framework of the Solow Model, with usual definitions. Suppose, the labor force is growing at 1% a year, depreciation rate is 4%, and saving rate is 20%. (Total 17 points) a)- Find the steady state equilibrium of per worker levels of capital, output, and consumption. (4) b)- Find the golden rule saving rate, and golden rule per worker levels of output, capital, and consumption. (4) c)- How much...
d. Assume that the aggregate production function is given by: where Y is aggregate output, K is capital, L is the number of workers in the economy and E is the state of technology. Further assume...
d. Assume that the aggregate production function is given by: where Y is aggregate output, K is capital, L is the number of workers in the economy and E is the state of technology. Further assume that capital depreciates at a rate of δ, the rate of technological progress is g, the population is growing at a rate of n and the saving rate is s. I5 marks] i. Determine the scale of production? Suppose capital is increased by a...
3) Consider the Solow model with population growth and labor-augmenting technological progress. Suppose that the aggregate...
3) Consider the Solow model with population growth and labor-augmenting technological progress. Suppose that the aggregate production function is Cobb- Douglas, i.e. Y = AK"(E · L)1-a, where A is a constant, while E denotes technological progress and grows at rate g. Labor grows at an exogenous rate n, and capital depreciates at rate d. As usual, people consume a fraction (1 – s) of their income. a. Use a graph similar to what we have seen in class to...
2. Suppose that the US is initially at the golden-rule level of steady-state capital accumulation given...
2. Suppose that the US is initially at the golden-rule level of steady-state capital accumulation given the current rates of depreciation, technological progress, and population growth a. What does “the golden-rule level of steady-state capital accumulation” mean? b. When there are positive rates of depreciation, technological progress, and population growth, explain how each of the following variables is changing over time when the economy is at the golden-rule level of capital: i. Labor ii. Labor efficiency units iii. Total capital...
1. Assume that an economy described by a Solow model has a per-worker production function given...
1. Assume that an economy described by a Solow model has a per-worker production function given by y- k05, where y is output per worker and k is capital stock per worker (capital-labor ratio). Assume also that the depreciation rate δ is 5%. This economy has no technological progress and no population growth (n 0). Both capital and labor are paid for their marginal products and the economy has been in a steady state with capital stock per worker at...
Consider an economy with the following production function zf(k ∗ ) = z (k ∗ )^0.5...
Consider an economy with the following production function zf(k ∗ ) = z (k ∗ )^0.5 1. Solve for golden rule capital per worker and optimal savings rate using the equation characterizing the best steady state. Then, you can back out optimal saving rate given that the best capital per worker. 2. Assume that we are at the steady state with a saving rate s1 < sgold. If the government increases the saving rate up to sgold through policies, what...
Assume an economy is populated by L workers with total capital stock K. Production of this...
Assume an economy is populated by L workers with total capital stock K. Production of this KL. Suppose household's saving rate s economy is organized by Y 0.6, and firm's depreciation rate of capital d = 0.1. The rule for accumulation of captial in per worker terms is of the time-to-build type: A k = i - ôk Standard Transformation of the Production Function a. Show that the production function is constant return to scale (CRS) b. Rewrite the production...
ALL OF THE QUESTIONS PLS!!! Assume an economy is populated by L workers with total capital stock K. Production of this...
ALL OF THE QUESTIONS PLS!!!
Assume an economy is populated by L workers with total capital stock K. Production of this KL. Suppose household's saving rate s economy is organized by Y 0.6, and firm's depreciation rate of capital d = 0.1. The rule for accumulation of captial in per worker terms is of the time-to-build type: A k = i - ôk Standard Transformation of the Production Function a. Show that the production function is constant return to scale...
ssume a closed economy without a government has a following production function The population grows at...
ssume a closed economy without a government has a following production function The population grows at 2 percent rate, and the depreciation rate is 5 percent. in the marginal propensity to consume is 79 percent, and the level of technology is 200, what would be the average income in the steady state? (5 points) b. What must the saving rate be to achieve the Golden Rule level of capital? (10 points)
3)- Consider an economy with the production function: Y=4K0.6 No.4, in the framework of the Solow Model, with usual definitions. Suppose, the labor force is growing at 1% a year, depreciation rate is 4%, and saving rate is 20%. (Total 17 points) a)- Find the steady state equilibrium of per worker levels of capital, output, and consumption. (4) b)- Find the golden rule saving rate, and golden rule per worker levels of output, capital, and consumption. (4) c)- How much...
d. Assume that the aggregate production function is given by: where Y is aggregate output, K is capital, L is the number of workers in the economy and E is the state of technology. Further assume that capital depreciates at a rate of δ, the rate of technological progress is g, the population is growing at a rate of n and the saving rate is s. I5 marks] i. Determine the scale of production? Suppose capital is increased by a...
3) Consider the Solow model with population growth and labor-augmenting technological progress. Suppose that the aggregate production function is Cobb- Douglas, i.e. Y = AK"(E · L)1-a, where A is a constant, while E denotes technological progress and grows at rate g. Labor grows at an exogenous rate n, and capital depreciates at rate d. As usual, people consume a fraction (1 – s) of their income. a. Use a graph similar to what we have seen in class to...
1. Assume that an economy described by a Solow model has a per-worker production function given by y- k05, where y is output per worker and k is capital stock per worker (capital-labor ratio). Assume also that the depreciation rate δ is 5%. This economy has no technological progress and no population growth (n 0). Both capital and labor are paid for their marginal products and the economy has been in a steady state with capital stock per worker at...
Assume an economy is populated by L workers with total capital stock K. Production of this KL. Suppose household's saving rate s economy is organized by Y 0.6, and firm's depreciation rate of capital d = 0.1. The rule for accumulation of captial in per worker terms is of the time-to-build type: A k = i - ôk Standard Transformation of the Production Function a. Show that the production function is constant return to scale (CRS) b. Rewrite the production...
ALL OF THE QUESTIONS PLS!!!
Assume an economy is populated by L workers with total capital stock K. Production of this KL. Suppose household's saving rate s economy is organized by Y 0.6, and firm's depreciation rate of capital d = 0.1. The rule for accumulation of captial in per worker terms is of the time-to-build type: A k = i - ôk Standard Transformation of the Production Function a. Show that the production function is constant return to scale...
ssume a closed economy without a government has a following production function The population grows at 2 percent rate, and the depreciation rate is 5 percent. in the marginal propensity to consume is 79 percent, and the level of technology is 200, what would be the average income in the steady state? (5 points) b. What must the saving rate be to achieve the Golden Rule level of capital? (10 points)
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