Consider the following numerical example of the Solow Growth Model: s=0.25 z=1 F(K,N)=K0.3N0.7 d=0.01 n=0 If the current capital per worker level is 1, what is the level of capital per worker in the next period?
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- Consider the following numerical examples for the Solow Growth Model: Economy A z=1 s=0.5 F(K,N)=K0.3N0.7 n=0.01 d=0.1 Economy B z=1 s=0.2 F(K,N)=K0.3N0.7 n=0.01 d=0.1 In which economy is GDP per capita higher in steady state? O Economy A O Economy B O Not enough InformationConsider the following numerical example of the Solow Growth Model: s=0.25 z=1 F(K,N)=K0.3N0.7 d=0.01 n=0 If the current capital per worker level is 1, what is the level of capital per worker two periods ahead?QUESTION 8 Consider the following numerical example of the Solow Growth Model: • s=0.25 • z=1 • FIK,N)=K0.3N0.7 • d=0.01 • n=0 What is the steady state level of capital per worker in this economy?
- Consider the following numerical examples for the Solow Growth Model: Economy A z=1 s=0.5 F(K,N)=K0.3N0.7 n=0.01 d=0.1 Economy B z=1 s=0.2 F(K,N)=K0.3N0.7 n=0.01 d=0.1 In which economy is Consumption per capita higher in steady state? O Economy A O Economy B Not enough InformationConsider a numerical example using the Solow Growth Model. Suppose that F(K,N)=K^0.5N^0.5, with d = 0.1, s = 0.2, n = 0.02, and z = 1, and take a period to be a year. Determine capital per worker, income per capita, and consumption per capita in the steady state. The steady state per work (0.2)(1)k*)^0.5 = (0.02+0.1)k*Production function is given by Y = 3K"(AN)!-a, where a=2/3. The rate of depreciation of capital is equal to 12 percent, the rate of technological progress is equal to 5 percent, and the rate of population growth is equal to 3 percent. The economy was in the steady state at time t and the level of technology was equal to A:=30. Use the Solow growth model to answer the following questions. (Please fill in numbers; use a comma as a decimal separator: 10,5) 1. If the saving rate s=40 percent, the steady state level of output per unit of effective labor at time t is equal to 2. If the saving rate s=40 percent, the steady state level of consumption per unit of effective labor at time t is equal to 3. If the saving rate s=40 percent, the steady state level of consumption per worker at time t is equal to
- Production function is given by Y= (1/2)K^a(AN)^(1-a), where a=2/3. The rate of depreciation of capital is equal to 15 percent, the rate of technological progress is equal to 3 percent, and the rate of population growth is equal to 2 percent. The economy was in the steady state at time tand the level of technology was equal to A=80. Use the Solow growth model to answer the following questions. 1. If the saving rate s=80 percent, the steady state level of output per unit of effective labor at time tis equal to ... 2. If the saving rate s=80 percent, the steady state level of consumption per unit of effective labor at time tis equal to ... 3. If the saving rate s=80 percent, the steady state level of consumption per worker at time tis equal to ..What is the Solow growth model?Consider a numerical example using the Solow Growth Model, for 2 countries.Country A: d=0.1, s=0.3, n=0.01, z=1, F(K,L)=K0.3N0.7 Country B: d=0.1, s=0.2, n=0.01, z=1.5, F(K,L)=K0.4N0.6Which Country has a higher level of GDP per capita in steady state? Country A Country B Not enough information
- Production function is given by Y = Ka(AN)'¯ª, where a=2/3. Initially, the saving rate was equal to s and the economy was in the steady state. Use the Solow growth model to answer the following questions. (Please fill in numbers; use a yomma as a decimal separator: 10,5) 1. In order to increase capital per unit of effective labor in the steady state by a factor of 27 (i.e. to make it 27 times larger), the rate of saving needs to increase by a factor of 2. In order to increase output per unit of effective labor in the steady state by a factor of 4 (i.e. to make it 4 times larger), the rate of saving needs to increase by a factor of 3. Suppose that s=25 percent, the rate of depreciation of capital is equal to 5 percent, the rate of technological progress is equal to 1 percent, and the rate of population growth is equal to 0,25 percent, a=2/3. The steady state level of investment per unit of effective labor is equal to= 2. Consider a Solow growth model in which the production function is Yt AK²N₁¹/2, where A = 1. Moreover, assume that the depreciation rate is d = 0.02, the rate of population growth is n = 0.02, and the saving rate is s = = 0.2. a. Compute the value of the capital stock per worker in steady state. b. Draw a graph that represents the steady-state equilibrium of the model. c. Suppose that the capital-labor ration in year t is 90. What will the level of the capital- labor ratio be in year t+1? Will it increase or decrease in future periods? Explain. d. Compute the rate of change of the capital labor ratio between time t and t + 1. How does it compare to the rate of growth of the capital-labor ratio in steady state?In class we assumed that the rate of population growth "n" was a constant. This was true for the Solow-Swan growth model as well as for the AK model. Imagine now that the rate of population growth is a function of k. Do you think fertility should be a function of k? An increasing or decreasing function of k? (Think of the costs and benefits of having children, and the reasons that lead people to purchase and produce kids) In the real world, do rich societies have larger or smaller fertility rates? Do you think mortality should be a function of k? An increasing or decreasing function of k? In the real world, do rich societies have larger or smaller mortality rates? Do you think net migration is a function of k? An increasing or decreasing function of k? In the real world, do rich societies tend to receive or to send migrants? а. b. C.
