According to the Solow model, an increase to the savings rate will O increase income per worker in the steady-state, but will have no effect on long-run growth rate of income per worker. increase consumption per worker if and only if the new steady-state capital per worker is greater than the golden rule level of capital per worker. O increase the long-run growth rate of income per worker if and only if the new steady-state capital per worker is greater than the golden rule level of capital per worker. increase income per worker in the steady-state and long-run growth rate of income per

According to the Solow model, an increase to the savings rate will O increase income per worker in the steady-state, but will have no effect on long-run growth rate of income per worker. increase consumption per worker if and only if the new steady-state capital per worker is greater than the golden rule level of capital per worker. O increase the long-run growth rate of income per worker if and only if the new steady-state capital per worker is greater than the golden rule level of capital per worker. increase income per worker in the steady-state and long-run growth rate of income per

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter20: Economic Growth In The Global Economy

Section: Chapter Questions

Problem 5P

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Similar questions

Consider the Solow Model with no population or technological growth. Suppose that two countriesare identical except that in Country A the depreciation rate is greater than the depreciation rate inCountry B.a. How do you compare the steady state level of capital per worker in these countries? Illustrategraphically. Explain the economic intuition for the di erences in capital per worker in steadystate.b. Which country a higher output per worker in steady state? What about investment per workerin steady state? Explain carefully.
In the Solow growth model:1. Write the expression for consumption per capita in the steady-state equilibrium, asa function of capital per capita.2. What is the golden rule quantity of capital per capita ? Specifically, tell me thedefinition of this concept, and then relate it to the equation for the equilibriumconsumption per capita whose expression answers question (1) above.23. How do we find the golden rule savings rate, once we know the golden rule quantityof capital per capita?
Many demographers predict that the UnitedStates will have zero population growth in thetwenty-first century, in contrast to average popu-lation growth of about 1 percent per year in thetwentieth century. Use the Solow model to fore-cast the effect of this slowdown in populationgrowth on the growth of total output and the growth of output per person. Consider theeffects both in the steady state and in the transi-tion between steady states.
In the Solow economic model, id like to know the relationship between the rate of population growth and the steady state level of income. I know that when the rate of population growth grow, then the breakeven investment line goes up, which decreses investment and capital per worker, but what does it do to the income level and the steady state rate of growth?
(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?
which statement \s are true. use graphs to exlain a. In the Solow growth model, the saving rate is a crucial determinant of the economy's long-run growth rate of output per worker. b. In the endogenous growth model , the representative firm sets the wage so that the demand and supply of efficiency units of labour are equal. c. In the endogenous growth model , there is no steady state of the economy as human capital will always continue to grow forever. d. The assumption of Constant Returns to Scale technology implies that the marginal product of factor imput is always decreasing.
4 Consider the context of the Solow model with technical progress in an excess saving scenario, that is,the savings rate is higher than the golden rule savings rate. Imagine that the economy started is in steady state, but at time t0 the saving rate increases suddenly. Elaborate graphs that show the evolution over time of the variables mentioned in the followingparagraphs as a result of the previous event .a) Growth rate of capital per effective workerb) Growth rate of capital per workerc) Capital growth rated) Natural logarithm of capital per effective workere) Natural logarithm of capital per workerf) Natural logarithm of capital
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?
1. Carefully draw a graph depicting steady state conditions within the Solow Growth Model framework. Carefully explain, making reference to depreciation rates and savings rates, how the steady state level of capital is determined. Now, demonstrate how the economy can grow from this point forward (in separate analyses) assuming: (a.) widespread improvements in production technology, and (b.) increases in savings rates. For each analysis show and carefully describe how the new steady state level of capital is attained.
Suppose people can consume the income they earn or save and invest it at rate "r". A. If we tax wealth at a rate greater than "r", how are people likely to adjust their rate of savings? B. Use the Solow model to comment on how a wealth tax will likely affect the growth rate of the capital stock. How will this policy affect the growth rate of output per worker? How will this policy affect the wage rate for workers? C. To what extent is this wealth tax likely to reduce the influence of the wealthy in politics? D. In the Peterson Institute discussion, Greg Mankiw argues that accumulating wealth creates a pecuniary externality. What does Mankiw mean? How would you expect a wealth subsidy to affect the real wage for workers?
2. Solow-Swan Model (a) You will demonstrate the importance of diminishing returns to capital in the Solow-Swanmodel. Draw a Solow-Swan diagram in which there are constant returns to capital. Thiswould happen if the production function were Yt= AKt, where A = 1. Furthermore,assume that the sum of population growth and the depreciation rate is greater than thesaving rate. Does the economy converge to a steady state in this case? To answer thisquestion, you should draw a Solow-Swan diagram in terms of output per person, as we didin class. Use this diagram to explain why the economy converges to a steady state or doesnot. (b) Assume, instead, that the sum of population growth and the depreciation rate is equal tothe saving rate. In this case, are there any steady states? If yes, describe the steady-statelevels of capital per person. If no, explain why not. (Note: Diagram is not needed for thispart.)
which one(s) is true (a) If an economy can raise its annual real GDP growth rate from 3.8 percent to 4.5 percent, its real GDP doubling time is reduced by 15 years. (b) Suppose that the government passes a law requiring households to increase savings 10% above previous levels. According to Solow's growth theory, in the long run output per capita will grow less rapidly. (c) If an economy has a real GDP doubling-time of 48 years, this will be increased to 56 years if annual GDP growth is reduced by 3.2 percentage points. (d) If K = 3000, n = 0.02, and depreciation, δ= 0.04 and g =0.03, then investment of 320 will hold (K/AL) constant.