In the steady state of Solow's exogenous growth model, an increase in the savings rate ... A. increases output per worker, reduces consumption per worker and decreases capital per worker. B. increases output per worker and increases capital per worker. C. decreases output per worker and decreases capital per worker. D. increases output per worker and decreases capital per worker. E. decreases output per worker and increases capital per worker.

In the steady state of Solow's exogenous growth model, an increase in the savings rate ... A. increases output per worker, reduces consumption per worker and decreases capital per worker. B. increases output per worker and increases capital per worker. C. decreases output per worker and decreases capital per worker. D. increases output per worker and decreases capital per worker. E. decreases output per worker and increases capital per worker.

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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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.
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.
7. Explain how the Solow growth model differs from models of endogenous growth with respect to the sources of technological progress. Give at least one policy implication of the Endogenous growth models.
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.
5. Use the simple Solow model, with no population growth. The formula for steady-state consumption per worker (c*) as a function of output per worker and investment per worker is: c * = f(k*) - δk* c * = f(k*) + δk * c * = f(k*) ÷ nk* c * = k* - f(k)*
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?
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
Q1) Consider a Solow economy that is on its balanced growth path. Assume for simplicity that there is no technological progress. Now suppose that the rate of population growth falls.(a) What happens to the balanced-growth-path values of capital per worker, output per worker, and consumption per worker? Sketch the paths of these variables as the economy moves to its new balanced growth path.(b) Describe the effect of the fall in population growth on the path of output (that is, total output, not output per worker).
. Suppose that society decided to reduce consumptionand increase investment.a. How would this change affect economic growth?b. What groups in society would benefit from thischange? What groups might be hurt?
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.)
a) What do steady state and conditional convergence mean? b) Why do these happen according to the Solow Growth Model? c) How can a country that is already at a steady state continue to grow?
(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?