Consider twd, developed and developing countries, the population growth rate of developed countries is 2 percent per year and saving rate of 30 percent. The developing country has a population growth rate of 5 percent and saving rate of 10 percent. Suppose that initial technology of the developed country is 10 times higher than that of the developing country and that both countries have the same productivity growth and depreciation rate: g 0.02 and 8 = 0.03. Assume that a = 1/ 3. In a steady state, how much is the developed country's GDP per capita larger than the developing country? %3D

Consider twd, developed and developing countries, the population growth rate of developed countries is 2 percent per year and saving rate of 30 percent. The developing country has a population growth rate of 5 percent and saving rate of 10 percent. Suppose that initial technology of the developed country is 10 times higher than that of the developing country and that both countries have the same productivity growth and depreciation rate: g 0.02 and 8 = 0.03. Assume that a = 1/ 3. In a steady state, how much is the developed country's GDP per capita larger than the developing country? %3D

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

See similar textbooks

Similar questions

Would you expect capital deepening to result in diminished1etmns? Why or why not? Would you expect improvements in technology to result in diminished returns? Why or why not?
Why dues productivity growth in high-income economies not slow down as it runs into diminishing returns from additional investments in physical capital and human capital? Does this show one area where the theory of diminishing returns fails to apply? Why or why not?
What do the growth accounting studies conclude are the determinants of growth? Which is more important, the determinants or how they am combined?
Assume that a country's per-worker production is y = k1/2, where y is output per worker and kis capital per worker. Assume also that 10 percent of capital depreciates per year (= 0.10) 2 andthere is no population growth or technological change.a. If the saving rate (s) is 0.4, what are capital per worker, production per worker, andconsumption per worker in the steady state?b. Solve for steady-state capital per worker, production per worker, and consumption perworker with s = 0.6.c. Solve for steady-state capital per worker, production per worker, and consumption perworker with s = 0.8.d. Is it possible to save too much? Why?
Assuming a country’s economy maintains an 8% rate of growth, young adults starting at age 20 would see the average standard of living in their country more than double by the time they had reached age __________. Question options: a) 30 b) 60 c) 50 d) 40 Country Alpha and Country Beta initially have the same real GDP per capita. Country Alpha experiences no economic growth, while CountryBeta grows at a sustained rate of 5 percent. In 14 years, Country Alpha’s GDP will be approximately _________ that of Country Beta. Question options: a) triple b) double c) one-half d) one-fourth
Contrast the views of environmental scientists with thoseof economists regarding whether population growth is aproblem. Name several reasons why population growthis viewed as a problem.
if a nation real gdp is growing by 3.5 percent per year , its real GDP will double in aproxiately 1. 41.1 years 2, 20.6 years 3, 10.3 years 4, 72 years
A) Suppose there are two countries that are identical in every way with the following exception: Country A has a higher saving rate than country B. Given this information, we know with certainty that A) Country A will experience capital widening b) growth rate of output per sopita in the steady state is same in two countries c) K/N is higher in country B d) growth rate of output per capita in the steady state is higher in country A B) When expectations are taken into account, a policy to reduce budget deficit may not lead to a fall in output in the current period. Which of the followings cannot be listed as factor that offsets the detrimental impact of fiscal contraction on the output in the short run? a) Increasing tax rates harshly to finance deficit. b) Credibility of the deficit reduction program. c) Cutting wasteful spending and leaving room for future tax cuts. d) Backloading the deficit reduction, leaving larger cuts in government spending to the future while only small cuts…
2. An economy has a production function:Yt = 3(squaredKt)(squaredLt). The economy has a saving rate of 24 percent, a depreciation rate of 3 percent,and Lt = 1 for all period (no population growth). There is no technologicalprogress. (a) What is the per-worker production function, yt = f(kt)? Define yt =YtLtand kt =KtLt.(b) Find the equation for the evolution of capital per worker in terms of ktand kt+1. (c) Find the long-run growth rate of output per worker. Now the economy has the following production function:Yt = 3Kt but savings rate, depreciation rate, and population remain the same. (d) What is the per-worker production function, yt = f(kt)? Define yt =Yt/Lt (e) Find the equation for the evolution of capital per worker in terms of ktand kt+1. (f) Find the long-run growth rate of output per worker. (g) Explain why the economy with production function (2) explain persistent growth without the assumption of exogenous technologicalprogress. How does this differ from the economy…
Say that the average worker in Canada has a productivity level of $30 per hour while the average worker in the United Kingdom has a productivity level of $25 per hour (both measured in U.S. dollars). Over the next five years, say that worker productivity in Canada grows at 1% per year while worker productivity intheUKgrows3%peryear.Afterfiveyears,whowill have the higher productivity level, and by how much?
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.)
Population Growth Population growth in the US has, for a very long time been about 1% per year.Take the production function to be y = k0.5, where y and k are output andcapital per capita. The depreciation rate is about 10% per year and the savingsrate is about 20%. 1. What is the steady state capital per capita rate?2. From one period to the next, at what rate does total capital (not percapita) grow.3. If the population growth rate grew to 1.5%, how much would steady statecapital per capita change? Then how much is total capital changing atthis steady state?