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)=K0.4N0.6 Which Country has a higher level of GDP per capita in steady state? Country A Country B Not enough information
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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)=K0.3N0.7Country B: d=0.1, s=0.2, n=0.01, z=1.5, F(K,L)=K0.4N0.6
Which Country has a higher level ofGDP per capita in steady state?Country A
Country B
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- Analyse graphically how the Solow model growth implies that poor countries should experience a higher growth rate and therefore converge with rich ones, and how this result is negated if the said countries do not share the same steady state.Consider the Solow growth model seen in lectures. Use n to denote population growth. Which of the following is true in steady state? a. ΔK/K= ΔY/Y= 0 ; Δk/k= Δy/y= 0 b. ΔK/K= ΔY/Y= 0 ; Δk/k= Δy/y= n c. ΔK/K= ΔY/Y= n ; Δk/k= Δy/y= 0 d. ΔK/K= ΔY/Y= n ; Δk/k= Δy/y= n e. None of the aboveUse the Solow model with exogenous growth to answer the following.Q 3.1: Following a reduction in the population growth rate, output per worker growth permanently increases. True or False Q 3.2: Following a reduction in the population growth rate, output per worker growth permanently increases. True or False Q 3.3: The only way to increase the long-run growth rate of output per worker is to increase the growth rate of labor efficiency. True or False Q 3.4: Following a decrease in TFP, output per worker growth temporarily declines. True or False
- The amount of education the typical person receives varies substantially among countries. Suppose you were to compare a country with a highly educated labor force and a country with a less educated labor force.Assume that education affects only the level of the efficiency of labor. Also assume that the countries are otherwise the same: they have the same saving rate, the same depreciation rate, the same population growth rate, and the same rate of technological progress. Both countries are described by the Solow model and are in their steady states. What would you predict for the following variables?a. The rate of growth of total income.b. The level of income per worker.c. The real rental price of capital.The amount of education the typical person receives varies substantially among countries. Suppose you were to compare a country with a highly educated labor force and a country with a less educated labor force. Assume that education affects only the level of the efficiency of labor. Also assume that the countries are otherwise the same: they have the same saving rate, the same depreciation rate, the same population growth rate, and the same rate of technological progress. Both countries are described by the Solow model and are in their steady states. What would you predict for the following variables? a. The rate of growth of total income. b. The level of income per worker. c. The real rental price of capital. d. The real wage.Consider the Solow growth model in which population evolves according to: N′ = (1 + n)N where N is the population (labor force) in the current period, N′ is the population (labor force) in the future period, and n is the population growth rate. There are public health expenditures that takes the form of government spending, G = gN, where G is the current period government spending on health care, g is the per-capita health spending in the current period. The production technology is given by Y = zKαN1−α where Y is the output of the consumption good, z is the total factor productivity, K is the current period capital stock, aN is the labour input, and 0 < α < 1 is a parameter. Consumers save a constant fraction, s, of their disposable income, where 0 < s < 1. (a) Suppose that the economic is hit by a pandemic (e.g. Covid-19). The government responds to the pandemic by raising the public health spending per person (e.g spending on vaccination) temporarily (i.e. one-period…
- Consider the Solow growth model in which population evolves according to: N′ = (1 + n)N where N is the population (labor force) in the current period, N′ is the population (labor force) in the future period, and n is the population growth rate. There are public health expenditures that takes the form of government spending, G = gN, where G is the current period government spending on health care, g is the per-capita health spending in the current period. The production technology is given by Y = zKαN1−α where Y is the output of the consumption good, z is the total factor productivity, K is the current period capital stock, aN is the labour input, and 0 < α < 1 is a parameter. Consumers save a constant fraction, s, of their disposable income, where 0 < s < 1. Suppose that the economic is hit by a pandemic (e.g. Covid-19) which causes a temporary decrease in total factor productivity, z, as certain sectors in the economy (e.g. entertainment, travel etc.) cannot deliver…Consider the Solow growth model in which population evolves according to: N′ = (1 + n)N where N is the population (labor force) in the current period, N′ is the population (labor force) in the future period, and n is the population growth rate. There are public health expenditures that takes the form of government spending, G = gN, where G is the current period government spending on health care, g is the per-capita health spending in the current period. The production technology is given by Y = zKαN1−α where Y is the output of the consumption good, z is the total factor productivity, K is the current period capital stock, aN is the labour input, and 0 < α < 1 is a parameter. Consumers save a constant fraction, s, of their disposable income, where 0 < s < 1. (a) Suppose that the economic is hit by a pandemic (e.g. Covid-19). The government responds to the pandemic by raising the public health spending per person (e.g spending on vaccination) temporarily (i.e. one-period…The amount of education the typical person receives varies substantially among countries. Suppose you were to compare a country with a highly educated labor force and a country with a less educated labor force.Assume that education affects only the level of the efficiency of labor. Also assume that the countries are otherwise the same: they have the same saving rate, the same depreciation rate, the same population growthrate, and the same rate of technological progress. Both countries are described by the Solow model and are in their steady states. What would you predict for the following variables? a)The real wage.
- In the endogenous growth model, a) the growth rate of human capital is equal to the growth rate of output. b) the growth rate of output is greater than to the growth rate of human capital. c) None of the answers are correct d) the growth rate of capital is less than the growth rate of output. e) the growth rate of human capital is greater than the growth rate of output.In a Solow growth model with population growth but no technological change, show graphically that an increase in the rate of depreciation will reduce the steady-state value of capital per worker and output per worker. It is reasonable to expect that depreciation rates differ across countries? Why or why not? Please be specific.The following will decrease the steady state of the capital to labor ratio in the Solow Growth Model. an increase in the savings rate an increase in Total Factor productivity. a decrease in the population growth rate. an increase in the depreciation rate. none of the above.
