1. An economy has the production function y = 20k1/2. The current capital stock is 256 and the depreciation rate is 8 percent, and the population growth rate is 2 percent. For income per person to grow, the saving rate must exceed
Question 1 options:
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6 percent |
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8 percent |
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10 percent |
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12 percent |
Question 2 (1 point)
2. According to the Solow model, if an economy decreases its saving rate, then in the new steady state, compared to the old one, the marginal product of capital is ______ and the growth rate is ______.
Question 2 options:
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the same, lower |
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the same, higher |
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lower, the same |
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higher, the same |
Question 3 (1 point)
3. In the steady state of the Solow model, low population growth leads to a _____ level of income per worker and _____ growth in total income.
Question 3 options:
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higher, higher |
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higher, lower |
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lower, higher |
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lower, lower |
Question 4 (1 point)
4. If the economy has more capital than in the Golden Rule steady state, increasing saving rate will
Question 4 options:
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increase both steady-state income and steady-state consumption |
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decrease both steady-state income and steady-state consumption |
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increase steady-state income but decrease steady-state consumption |
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decrease steady-state income but increase steady-state consumption |
Question 5 (1 point)
5. In the Solow model, a decrease in which of the following reduces steady-state growth in income per person?
Question 5 options:
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the saving rate |
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the population growth rate |
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the depreciation rate |
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none of the above |
2):-c is right option
According to the Solow model, if an economy increases its saving rate, then in the new steady state, compared with the old one, the marginal product of capital is lower and the growth rate is the same
Lower, the same
The Solow Growth Model is defined as that it explains how saving rates and population growth in economy determine capital accumulation, which in turn help in determining economics
4) :- B is right option
Higher, lower
In the steady state of the Solow model, low population growth leads to a higher level of income per worker and lower growth in total income
The Solow Growth Model state how saving rates and population growth in economy determine capital accumulation, which in turn helpful in determining economics
4) :-D is right option
If the economy has more capital than the Golden Rule steady state, reducing the saving rate will decrease steady-state income but increase steady-state consumption
Steady-state which is denoted by variable*, point at which investment equals the amount of depreciation
5):-D is right option
In the Solow model, an increase in which of the following raise steady-state growth in income per person
None of the above
1. An economy has the production function y = 20k1/2. The current capital stock is 256...
2. Suppose an economy described by the Solow model has the following production function and capital law of motion, with the variables as defined in class: Y =K^(1/2)(LE)^(1/2) ∆k = sy − (δ + n + g)k The economy has a saving rate of 24 percent, a depreciation rate of 3 percent, a population growth rate of 2 percent, and a growth rate of labor productivity of 1 percent. (a) At what rate do total output (Y ), output per...
Suppose an economy described by the Solow model has the following production function: 1/2 1/2 Y=K (LE) . a. For this economy, what is f(k)? b. Use your answer to part (a) to solve for the steady-state value of y as a function of s, n, g, and ?. c. Two neighboring economies have the above production function, but they have different parameter values. Atlantis has a saving rate of 28 percent and a population growth rate of 1 percent...
5. Calibrated Cobb-Douglas Growth Model Assume an economy has the following production function: Y = F(K, AL) = K 0.4 (AL)0.6. (a) Write down the production function per effective worker. (20 marks) (b) For this economy, the savings rate is 20%, the depreciation rate is 10% per year, the population growth rate is 2% per year, and the technology growth rate is 3% per year. Calculate the steady-state capital stock per effective worker, output per effective worker, and consumption per...
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...
An economy (country A) has a Cobb-Douglas production function: Y = K0.4 (LE) 0.6 The economy has a saving rate of 48 percent, a depreciation rate of 2 percent, a rate of population growth of 1 percent, and a rate of labor-augmenting technological change of 3 percent. Assume there is a second economy (country B) with everything identical to country A except for the rate of population growth, which is 2 percent. Answer questions 4 and 5 above for country...
15. Consider an economy, with a production function given by Y-AK03L07. This economy's annual GDP growth rate is 5%. Also assume that L and Kare both growing at annual rates of 2%. Calculate the growth rate of total factor productivity for this economy. a. 2.0% b. 3.0% 4.0% c. d. 5.0% 16. Suppose output is determined by a Cobb-Douglas production function Y=AK L1 Where 0ca<1. If total factor productivity (A) remains constant, but labour (L) and capital (K) inputs both...
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...
An economy has the production function
The current capital stock is 100, the depreciation rate is 10
percent, and the population growth rate is 2 percent. For income
per person to grow, the saving rate must exceed
6 percent.
8 percent.
10 percent.
12 percent.
An economy has a Cobb-Douglas production function: Y = Ka(LE)(1-a). The economy has a capital share of a third (means a= 1/3), a saving rate of 24 percent, a depreciation rate of 3 percent, and a rate of labor-augmenting technological change of 1 percent. It is in steady state. a. At what rate does total output, output per worker, and output per effective worker grow? b. Solve for steady state capital per effective worker, output per effective worker, consumption per...
Question 5. (4 points each) Consider the Solow model in Chapter 6. Production function is given by Y = A_KENZ The notations of variables are the same as the slides for Ch.6.The depreciation rate d is 0.1, the population growth rate n is 0.1, and the saving rate s is 0.2. The level of productivity is constant, so At = 2 all the time. (1) Compute the steady-state level of capital per person k*. (2) Compute the steady-state level of...