Population Growth and Technological Progress- End of Chapter Problem In the Solow model, how does a decrease in the rate of population growth n affect the steady-state value of each of the following variables? Increases Decreases Stays the same Answer Bank 1. The growth of output per worker y c. Output per worker y d. The capital-output ratio /y R. The growth rate of total output Y e. The marginal product of capital MPK b. Capital stock per worker k a. The savings rate s
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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?QUESTION 22 whereas in the Solow model In the Romer model, the balanced growth path is equal to OAG-A; the steady-state level of capital is zero OB.0; infinity ; the growth rate declines as economy approaches the steady state O D. the level of the number researchers in an economy; capital is scarce OE. g=lL: there is a steady state G H. K. V. M Control Alt 無要換 AltSoru 1 Sinav gezintisi Chapter 8: Economic growth : Capital Accumulation and Population Growth Henüz cevaplanmadı Question: In the Solow growth model, if investment depreciation, the capital stock will 7,00 üzerinden and output will until the steady state is attained. 10 11 12 13 14 15 işaretlenmiş P Soruyu işaretle Lūtfen bir ya da daha fazlasını seçin: Uygulamayı bitir. Kalan süre 0:19:46 is less than / decrease / decrease Ob. exceeds / increase / increase O C. exceeds / increase/ decrease Od. exceeds/decrease/decrease Oe. is less than /increase/ decrease 21:21 13.04.202 TUR
- 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?(a) Two countries, Country A and Country B, are described by the Solow growth model. Bothcountries are identical, except that the rate of labor-augmenting technological progress ishigher in A than in B.i. In which country is the steady-state growth rate of output per effective worker higher?ii. Does the Solow growth model predict that the two economies will converge to the samesteady state? (b) Based on the Solow growth model with population growth and labor-augmenting technologicalprogress, explain how each of the following policies would affect the steady-state level andsteady-state growth rate of total output per person:i. an increase in the government’s budget deficit ii. grants to support research and development (c) Consider a Solow model where the production function no longer exhibits diminishing returnsto capital accumulation. Assume the production function is now Y = AK. What happens tothe growth rate of per capita GDP over time?Consider the country of Solow, which is described by the Solow–Swan growth model with constanttotal factor productivity. Let the saving rate θ = 0.75. Per capita output (y) is equal to 100 and the percapita capital stock (k) is 1000. For Solow to be in steady state: a.the depreciation rate is 0.025 and the population growth rate is 0.05 b.the depreciation rate is 0.25 and the population growth rate is 0.5 c.the sum of the depreciation rate and the population growth rate must be less than 0.075 d.the depreciation rate and population growth rate must sum to 0.75
- In the Solow–Swan model, a decrease in the rate of population growth will have what effect on the steady-state level of real GDP per capita? a. Increase b. No change in real GDP per capita because although it does change the rate at which output and population are growing, it will make both growth rates change by the same amount and so the output-population ratio will be unchanged c. Decrease d. No change in real GDP per capita because although it does change the level of labour, the level of capital will change to keep the capital-labour ratio the same as beforeIn the Solow growth model without population growth and technological progress, how can the steady state of an economy be described? (i) Total capital stock and total output are growing steadily over time. (ii) The change in capital stock per worker is zero. (iii) The level of investment per capita is equal to the depreciation of capital per person. O a. (i), (ii), and (iii) O b. Only (ii) and (iii) O c. Only (i) and (ii) O d. Only (i) and (iii)This question refers to the Solow–Swan model with constant technology. Imagine the model is in steady state and the population growth rate rises. As a result the steady-state level of real GDP per capita will: a. fall b. rise c. stay the same d. can’t say because we need to know what will happen to the steady-state level of capital per person and, in the absence of that information, we can’t answer the question
- = 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?Answer the following questions using the basic Solow growth model, without population growth or technological progress. (a) Draw a diagram with per worker output, y, consumption, c, saving, s and investment, i, on the vertical axis and capital per worker, k, on the horizontal condition. On this diagram, clearly indicate steady-state values for c, i, and y. Brie y outline the condition that holds in the steady- state (i.e. what is the relationship between investment and the depreciation of capital?). (b) Suppose that society becomes less thrifty, resulting in a lower rate of savings, s. Using the above diagram, how does the new steady-state capital stock per worker, k, compare to the stock in part (a)? How does output per worker compare? How does consumption per worker compare? [Note: Even if output per worker decreases, consumption per worker need not decrease. Why not?] (c) Suppose that the saving rate decreases at time t0. On a graph plot c, k, and i against t and show…3 pts in the Solow model, the economy reaches a steady-state because as capital per worker increases O savings per worker is constant, while the population growth rate is contare and the depreciation rate of capital decen, ing that the economy w gro endogenously while the population growth rate and the depreciation rate of capital are comitant implying that the economy will converge to a sady O marginal savings per worker diminishes, while the population growth rate and the depreciation rate of capital are constant implying that the economy will gro endogenously Osaving perv state. O marginal savings per worker diminishes, while the population growth rate and the depreciation rate of capital are constant, implying that the economy will converge to a steady-state