In the Solow growth model, if y=A/K. =0.1, n=0.05, A=10, d=0.05, then the steady state output per worker is O A. 10 O B. 50 OC. 100 D.90 E. 150
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- Consider the following Solow diagram, indicating two sep-arate savings rates, 0.2 and 0.4: Suppose the savings rate is 0.2. At the steady state, what is capital per worker? What is output per worker? How much is saved per worker? Suppose the population growth rate is equal to the depreciationrate. Solve for n and d.In this problem, we distinguish between labor and population in the Solow growth model. A proportion of the population, a, between zero and one, works. The production function is now written as Y = A(K^1/3)[(aL)^2/3] (a) How does an increase in a from 0.3 to 0.6 change steady state GDP? (b) Does it change the steady-state capital? Explain. (c) Suppose a rises steadily over time. How do you think would affect the growth rate of GDP?select the correct one(s) a) Suppose s = 0.15, Y = 4200, K = 6100, n = 0.03, g=0.03 and δ= 0.10. This makes national saving smaller than steady-state investment, so that the amount of capital per effective worker will be falling. b) In the graph of the Solow growth model, at any point to the left of the steady-state intersection we have national saving per effective labour greater than steady-state investment per person, causing (K/AL) to increase. c) In the Solow growth model, an increase in the marginal propensity to consume shifts the steady-state investment line downward with the implied change in the capital stock resulting in a higher standard of living in the long run.
- 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.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 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 above
- In the Solow growth model:1. What is the equilibrium effect of an increase in the population growth rate?2. What is the equilibrium effect of an increase in TFP?3. Which of these shocks is better able to generate sustained growth: a decrease in thepopulation growth rate, or an increase in TFP? How does this compare with theresults of the Malthusian model of economic growth?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 informationSolow's Growth Model provides the hypothesis that capital accumulation can boost economic growth. a) Through a system of mathematical equations, describe the production side of the output of the Solow economy! b) Explain both through narrative and mathematical equation systems how savings rates can affect per capita income growth!
- Discuss the Solow Growth Model and carefully explain how its critical componentsimpact the model. (Include graphs and equations where necessary)Suppose we started out at the steady state capital stock in the basic Solow growth model (see graph a few questions ago). If there subsequently were an increase in the demand for loanable funds due to more favorable tax treatment of business investment, ceteris paribus (i.e., holding other factors constant, including no shift in the supply of loanable funds), then as we move to the new steady state over time we would expect to see Group of answer choices A) economic growth rates turn negative as we move toward the new steady state and the nation’s capital stock to decrease from its current level. B) economic growth rates turn positive as we move toward the new steady state and the nation’s capital stock to decrease from its current level. C) economic growth rates turn positive as we move toward the new steady state and the nation’s capital stock to grow from its current level. D) economic growth rates turn negative as we move toward the new steady state and the nation’s…Suppose that the depreciation rate increases. In the Solow growth model, determine the effects of this on the quantity of capital per worker and on output per worker in the steady state. Explain the economic intuition behind your results.
