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Consider an economy in which the amount of investment is equal to the amount of savings (i.e., the economy is closed to international flows of capital). Any output that is not saved is consumed. The production function is ?=???. Find the value of 
, the fraction of income that is invested, that will maximize the steady-state level of consumption per worker. (This is called the “golden rule” level of investment).
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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...
good weekend! Problem 1 Assume an economy is populated by L workers with total capital stock...
good weekend! Problem 1 Assume an economy is populated by L workers with total capital stock K. Production of this economy is organized by Y = K L.. Suppose household's saving rate s = 0.6, and firm's depreciation rate of capital 8 = 0.1. The rule for accumulation of captial in per worker terms is of the time-to-build type: Ak=¿- Sk. Standard Transformation of the Production Function a. Show that the production function is constant return to scale (CRS). b....
1. Solow growth model: a. Draw the steady-state equilibrium by drawing the savings line and the...
1. Solow growth model: a. Draw the steady-state equilibrium by drawing the savings line and the investment line. Show the steady-state values of savings, investment and capital per worker. b. On the same graph, also draw the output per worker (or per-worker production function) line. At the steady-state, mark the level of consumption per worker and savings per worker. c. What is the growth rate of yt, Ct, kt (per-worker variables, represented with an "upperbar" in class) in the steady-state?...
Solow growth model: 1. a. Draw the steady-state equilibrium by drawing the savings line and the...
Solow growth model: 1. a. Draw the steady-state equilibrium by drawing the savings line and the investment line. Show the steady-state values of savings, investment and capital per worker. b. On the same graph, also draw the output per worker (or per-worker production function) line. At the steady-state, mark the level of consumption per worker and savings per worker. c. What is the growth rate of yYt, Ct, kt (per-worker variables, represented with an "upperbar" in class) in the steady-state?...
Refer to the figure above. Suppose the economy is currently in steady state. Furthermore, suppose the...
Refer to the figure above. Suppose the economy is currently in steady state. Furthermore, suppose the current savings rate (the one depicted in the figure) is higher than the golden rule savings rate. Which of the following statements is correct? To maximize steady state consumption per capita, the economy should aim for a steady state where capital per effective worker is less than D To maximize steady state consumption per capita, the economy should aim for a steady state where...
all but part a 2. (Population growth and technology growth) Consider an economy that is described...
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...
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...
Please use the equations provided to solve for all parts of question B. Please be detailed,...
Please use the equations provided to solve for all parts of
question B. Please be detailed, and show all steps with the
formulas and why they occur. I need to understand and see the work
with the solutions for each part so that I can understand how you
got the solution. Use the math to explain what is happening showing
work with the equations, and why. Thank you so much! Correct
answers will get a thumbs up! You must show...
everything but part a Problem Set 8 1. (Population growth but no technology growth) Consider an...
everything but part a
Problem Set 8 1. (Population growth but no technology growth) Consider an economy that is described by the production function Y = K L. Moreover the de preciation rate of capital is 8 = 0.05 and the population growth rate is n=0.05 (there is no technology growth) (a) What is the per-worker production function, that is y = ¥? What is the marginal product of capital, that is 8X? (b) If the saving rate is 8...
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...
good weekend! Problem 1 Assume an economy is populated by L workers with total capital stock K. Production of this economy is organized by Y = K L.. Suppose household's saving rate s = 0.6, and firm's depreciation rate of capital 8 = 0.1. The rule for accumulation of captial in per worker terms is of the time-to-build type: Ak=¿- Sk. Standard Transformation of the Production Function a. Show that the production function is constant return to scale (CRS). b....
1. Solow growth model: a. Draw the steady-state equilibrium by drawing the savings line and the investment line. Show the steady-state values of savings, investment and capital per worker. b. On the same graph, also draw the output per worker (or per-worker production function) line. At the steady-state, mark the level of consumption per worker and savings per worker. c. What is the growth rate of yt, Ct, kt (per-worker variables, represented with an "upperbar" in class) in the steady-state?...
Solow growth model: 1. a. Draw the steady-state equilibrium by drawing the savings line and the investment line. Show the steady-state values of savings, investment and capital per worker. b. On the same graph, also draw the output per worker (or per-worker production function) line. At the steady-state, mark the level of consumption per worker and savings per worker. c. What is the growth rate of yYt, Ct, kt (per-worker variables, represented with an "upperbar" in class) in the steady-state?...
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...
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...
Please use the equations provided to solve for all parts of
question B. Please be detailed, and show all steps with the
formulas and why they occur. I need to understand and see the work
with the solutions for each part so that I can understand how you
got the solution. Use the math to explain what is happening showing
work with the equations, and why. Thank you so much! Correct
answers will get a thumbs up! You must show...
everything but part a
Problem Set 8 1. (Population growth but no technology growth) Consider an economy that is described by the production function Y = K L. Moreover the de preciation rate of capital is 8 = 0.05 and the population growth rate is n=0.05 (there is no technology growth) (a) What is the per-worker production function, that is y = ¥? What is the marginal product of capital, that is 8X? (b) If the saving rate is 8...
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