Consider an economy that follows the dynamic as in the Solow model developed in class, with...
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Consider an economy that follows the dynamic as in the Solow model developed in class, with...
Consider an economy that follows the dynamic as in the Solow model developed in class, with...
Consider an economy that follows the dynamic as in the Solow model developed in class, with constant L. Suppose a country enacts a tax policy that discourages investment, and the policy reduces the investment rate immediately and permanently from s to s1. Assuming the economy starts in its initial steady state, use the Solow model to explain what happens to the economy over time and in the long run. Draw a graph showing how output evolves over time (put Yt...
Consider the Solow model with the following parameters/exogenous variables: ?̅, ?̅ , ?̅, ?̅, ?̅, and...
Consider the Solow model with the following parameters/exogenous variables: ?̅, ?̅ , ?̅, ?̅, ?̅, and ?0. In the standard model, we assume that each unit of investment can be converted into future capital one-for-one. Relative to the standard Solow model, in this exercise we include a new parameter to capture the “marginal efficiency of investment.” That is, we introduce the parameter ?̅ which reflects the rate that investment can be converted into future capital stock. This term shows up...
6. An earthquake: Consider a Solow economy that begins in a steady state. Then a strong...
6. An earthquake: Consider a Solow economy that begins in a steady state. Then a strong earthquake destroys half the capital stock. Use a Solow diagram to explain how the economy behaves over time. Draw a graph showing how output evolves over time, and explain what happens to the level and growth rate o per capita GDP. (Hint: Pay close attention to footnote 4 on page 121 - does any curve shift?)
The following dynamic equation is derived from the Solow growth model
The following dynamic equation is derived from the Solow growth
model
V. The following dynamic equation is derived from the Solow growth model (5X6-30) LE Aka 1) Compute the steady state level of k 2) Compute the steady state level of real interest rate 3) Compute the steady state level of real wage per worker 4) Compute the steady state level of consumption per worker hat is the level of s which guarantees the golden rule? 6) Suppose that k...
5. Foreign aid: Consider a Solow economy that begins with a cap to $300 billion, and...
5. Foreign aid: Consider a Solow economy that begins with a cap to $300 billion, and suppose its steady-state level of capital is 1o its pleasant surprise, the economy receives a generous gift of foreign aru in the form of $100 billion worth of capital (electric power plants, machine tools, etc.). (a) Use the Solow diagram, other graphs, and the mathematics of the Solow model to explain what happens to the economy, both immediately and over time. By what proportion...
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...
Consider an economy that is characterized by the Solow Model. The (aggregate) production function is given...
Consider an economy that is characterized by the Solow Model. The (aggregate) production function is given by: Y = 6K1/3L2/3 In this economy, workers consume 80% of income and save the rest. The labour force is growing at 2% per year while the annual rate of capital depreciation is 5.5%. a) Solve for the steady state capital-labour ratio and consumption per worker. The economy is in its steady state as described in part (a). Suppose both the stock of capital...
An economy is described by the standard Solow model without technological progress and without population growth....
An economy is described by the standard Solow model without technological progress and without population growth. You are given the information that the savings rate dropped to a lower level in this economy, but you don’t know by how much it did so. Suppose that prior to the drop in s the economy was in a steady-state with a capital stock per worker higher than the Golden Rule level. a. In a graph which should include the production function, the...
Solow Growth Model D. Consider an economy with production characterized by function Y = AVKL, per...
Solow Growth Model D. Consider an economy with production characterized by function Y = AVKL, per capita output y = AVkt with rate of depreciation of capital 8, investment it = sy. = sAvky, capital transition function kt+1 - k = SAVk - Okt, where s is savings ratio. 1. Putting per capita output (income) y on the y-axis and k on the x-axis, graph the curves for depre- ciation and investment. Label steady state capital k* and steady state...
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...
Consider an economy that follows the dynamic as in the Solow model developed in class, with constant L. Suppose a country enacts a tax policy that discourages investment, and the policy reduces the investment rate immediately and permanently from s to s1. Assuming the economy starts in its initial steady state, use the Solow model to explain what happens to the economy over time and in the long run. Draw a graph showing how output evolves over time (put Yt...
The following dynamic equation is derived from the Solow growth
model
V. The following dynamic equation is derived from the Solow growth model (5X6-30) LE Aka 1) Compute the steady state level of k 2) Compute the steady state level of real interest rate 3) Compute the steady state level of real wage per worker 4) Compute the steady state level of consumption per worker hat is the level of s which guarantees the golden rule? 6) Suppose that k...
5. Foreign aid: Consider a Solow economy that begins with a cap to $300 billion, and suppose its steady-state level of capital is 1o its pleasant surprise, the economy receives a generous gift of foreign aru in the form of $100 billion worth of capital (electric power plants, machine tools, etc.). (a) Use the Solow diagram, other graphs, and the mathematics of the Solow model to explain what happens to the economy, both immediately and over time. By what proportion...
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 D. Consider an economy with production characterized by function Y = AVKL, per capita output y = AVkt with rate of depreciation of capital 8, investment it = sy. = sAvky, capital transition function kt+1 - k = SAVk - Okt, where s is savings ratio. 1. Putting per capita output (income) y on the y-axis and k on the x-axis, graph the curves for depre- ciation and investment. Label steady state capital k* and steady state...
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...
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