12 May HOW MANY MODEL PERIODS WILL IT TAKE MEXICO TO HAVE A PER CAPITA OUTPUT LEVEL THAT IS ONE HALF THE US LEVEL?
Problem 5Consider the Solow growth model with population growth rate n and rate of technological progress g.(a)Assuming that everyone in the population is working, what does the Solow growth model tell us about long-run growth rate of output per worker in the economy? (i.e. standards of living)(b)Assuming we have reached the balanced-growth path (steady-state), what does the Solow Growth model tell us about what the economy can do to 1.) Grow at a faster rate and 2.) Reach a higher steady-state level of output per worker?Problem 6Suppose that two countries both share a common technology and that both countries have the same savings rate s, technology growth rate g and population growth rate n. Suppose further that one economy (US) is in steady state, whereas the other (Mexico) has a per capita output level that is one fourth the US level.The production function of both economies is give by F(Kt,AtLt) = (Kt)0.3(AtLt)0.7 The depreciation rate: ? = 0.06 The population growth rate: n = 0 The technological growth rate: g = 0.02 The savings rate: s = 0.2Under the additional assumptions listed below, how many model periods will it take Mexico to have a per capita output level that is one half the US level?Problem 5Consider the Solow growth model with population growth rate n and rate of technological progress g.(a)Assuming that everyone in the population is working, what does the Solow growth model tell us about long-run growth rate of output per worker in the economy? (i.e. standards of living)(b)Assuming we have reached the balanced-growth path (steady-state), what does the Solow Growth model tell us about what the economy can do to 1.) Grow at a faster rate and 2.) Reach a higher steady-state level of output per worker?Problem 6Suppose that two countries both share a common technology and that both countries have the same savings rate s, technology growth rate g and population growth rate n. Suppose further that one economy (US) is in steady state, whereas the other (Mexico) has a per capita output level that is one fourth the US level.The production function of both economies is give by F(Kt,AtLt) = (Kt)0.3(AtLt)0.7 The depreciation rate: ? = 0.06 The population growth rate: n = 0 The technological growth rate: g = 0.02 The savings rate: s = 0.2Under the additional assumptions listed below, How many model periods will it take Mexico to have a per capita output level that is one half the US level?
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