1. The assumption of Constant Returns to Scale technology implies that the marginal product of factor imput is always decreasing. 2. In the Solow growth model in Chapter 7, the saving rate is a crucial determinant of the economy's long-run growth rate of output per worker. 3. In the endogenous growth model in Chapter 8, the representative firm sets the wage so that the demand and supply of efficiency units of labour are equal.

1. The assumption of Constant Returns to Scale technology implies that the marginal product of factor imput is always decreasing. 2. In the Solow growth model in Chapter 7, the saving rate is a crucial determinant of the economy's long-run growth rate of output per worker. 3. In the endogenous growth model in Chapter 8, the representative firm sets the wage so that the demand and supply of efficiency units of labour are equal.

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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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.)
use only equitions and graphs to show correct statement a.The assumption of Constant Returns to Scale technology implies that the marginal product of factor imput is always decreasing. b. In the Solow growth model i the saving rate is a crucial determinant of the economy's long-run growth rate of output per worker. c. In the endogenous growth model , the representative firm sets the wage so that the demand and supply of efficiency units of labour are equal. d. In the endogenous growth model , there is no steady state of the economy as human capital will always continue to grow forever
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?
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.
4 Explain the central paradox at the heart of the Solow model, with constant and exogenous technologies. Given this paradox, why is the Solow model still relevant?
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.
(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?
Explain the basic theory of Solow Growth model, highlight the production function and basic assumptions of Solow Growth model. Show the steady-state condition. [Use the production function: = ?? 1/3? 2/3 ]
(a) Explain the role of capital, labor, and technology in the Solow growth model. (b) Illustrate the steady-state equilibrium in the Solow growth model using a graph, and explain how changes in the savings rate and technological progress affect the steady-state equilibrium. 2. Consider an economy with the following production function: Y = K^0.3 * (AL)^0.7, where Y is output, K is capital, L is labor, and A is the level of technology. (a) Calculate the marginal product of capital (MPK) and the marginal product of labor (MPL). (b) If the capital stock (K) is 100, the labor force (L) is 200, and the level of technology (A) is 2, find the level of output (Y) in this economy. 3. Suppose there is a negative demand shock that causes the aggregate demand equation in an economy to change from: AD1: Y = 2000 - 100P to AD2: Y = 1800 - 100P The aggregate supply equation is given by: AS: Y = 400 + 50P (a) Calculate the initial equilibrium price level (P1) and real output (Y1)…
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.
The Solow Growth Model is a model that is often used to explain the theoretical relationship between several factors that determine a country's economic growthcountry.(a) Explain what you know about the Solow Growth Model and what are the most important determinants of a country's long-term growth rate?(b) Within the framework of the Solow Growth Model, how does population growth affect a country's economic growth rate?(c) Still within the framework of the Solow Growth Model, how does technological progress affect a country's growth rate?
Consider the Solow growth model with concave production function as studied in class. Supposethe economy is initially in the picture below, and currently has the level of capital stock of K0. What wouldhappen to the dynamics of capital accumulations when depreciation rate increases? Graphically denote thedirection and the speed of change/accumulation/decumulation of the capital stock, then verbally explain whythey move like so.