Suppose that you have two countries, call them 1 and 2. Each is governed by the Solow model with a Cobb - Douglas production function, but each country has potentially different values of s and A. Assume that the value of A for each country is fixed across time. The central equation of the model is:
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- when a country adds capital what is it doing to its productivity and GDP? Which variable in the Solow Model equation is it changing?an economy is described by the Solow-Swan model with the following variables, E(t)=1 The saving rate is 0.41 per year. Labor's share of income is 0.44. The growth rate of labor efficiency is 0.03 per year. The growth rate of the labor force is 0.02 per year Depreciation is 0.09 per year. calculate the steady-state value of the capital-to-labor ratio, K/L Enter your answer to two places after the decimal.When a country adds capital what is it doing to its productivity and GDP? Which variable in the Solow Model equation is it changing? When a country adds ideas what is it doing to its productivity and GDP? Which variable in the Solow Model equation is it changing?
- . Using the Solow growth model suppose that there is a hurricane coming toward a city. Because it is fully anticipated a lot of the people can leave and come back safely, but a lot of physical capital (K) is destroyed (buildings cannot move). Show graphically what the Solow model predicts will happen to the steady state. Does the poverty trap model have any different predication? Compare this graphically.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 informationConsider the Solow model extended with human capital. Suppose the production function is Cobb Douglas. Find the levels of physical and human capital in the steady state. Describe the joint dynamics of the two forms of capital if the economy is not at the steady state.
- According to the Solow–Swan model, if the saving rate rises, then: a. steady state per capita income falls b. per capita income falls c. steady state per capita income rises d. steady state per capita income is unaffectedTechnical Progress in the Solow Model Suppose an economy that follows the assumptions of the Solow model saves a proportion s of its income every period, population grows at rate n, capital depreciates at rate d, and technical progress takes place at rate g. Assume it is not yet at steady state. a) Draw a graph to show initial level of capital k* < kss, output y* as well as the steady state levels of each. Be sure to draw and label the production function, investment and the line of effective depreciation, as well as k*, y*, kss and yss b) Explain what will happen to y* in the short run given this information (i.e. starting where k* < kss), according to the assumptions of the Solow growth model). c)At steady state, what is the growth rate of y*, y and Y? Explain your answersIf an eartquake devastates a country's a capital stock and the saving rate ....., the Solow model expects that the new steady state will be ..... ( Choose one or more.) a. is lower / higher than before. b. is unaffected / equal to the Golden Rule level of output per person. c. is unaffected / the same as before. d. is higher / higher than before. e. is higher / lower than before.
- In the Solow growth model, suppose that the per-worker production function is given by y=zk2/3 . The saving rate is s, depreciation rate is d, and population growth rate is n. Calculate the per capita capital (k) and output per worker (y) in the steady state.Consider the Solow growth model with neither technological nor population change. The parameters of the model are given by s=0.3 (savings rate) and δ=0.08(depreciation rate). Let k denote capital per worker; y output per worker; Solve for output per worker (y*) in the steady state. Show your derivations.Consider the Solow Growth model with and without technology. Please derive the growth rates of income and income per capita of an economy at the long-run equilibrium (steady state)? Thanks.