Q5) Solow Growth ModelBased on Abel, Bernanke and Croushore, 10th edition, Chapter 6, Numerical Problems No. 5.An economy has the per-worker production functionYt =3k95whereYtis output per worker and k, is the capital-labor ratio. The depreciation rate is 8 = 0.1,and the population growth rate is n = 0.05. Saving isSt = 0.3Y;where S; is total national saving and Y, is total output.a. Define the steady state of this economy. (Hint: see definition in slides.)b. What are the steady-state values of the capital-labor ratio, output per worker, andconsumption per worker?c. Repeat Part (a) for a saving rate of 0.4 instead of 0.3.

A production function expresses the technological relationship between the quantities of physical…

Answered: Based on Abel, Bernanke and Croushore,…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

In year 1, a country has saving rates, s=0.1, productivity a=2 and depreciation rate d=0.1 . In year 2, the same country has s=0.1, a=1, d=0.2 Using the endogenous growth model, find the economy’s growth rate in year 1 and What is the state of the economy in year 1? (Use business cycle words) Using the endogenous growth model, find the economy’s growth rate in year 2.What is the state of the economy in year 2? (Use business cycle words) If in year 1, delta c/c=0.2, delta u /u =-0.1 and in year 2, deltac/c=-0.1, delta u/u =0.15 , describe the variables and using business cycle words Please answer the business cycle explanation part!
Exercise 4: Growth and capital over-accumulation = Suppose two countries, A and B, with the same production function Y KaL¹-a. The value of a is 0.30, the growth rate of population is 2% and the depreciation rate is 5%. a) Show that with price-taking firms the share of labor must be 1 a. b) Compute the stock of capital, output and consumption per unit of labor in the steady state if the savings rates were 25% for country A and 35% for country B. c) Compare both economies to the Golden Rule. d) Explain what would happen to both countries if suddenly their savings rate became the Golden Rule savings rate.
Assume the economy is initially in its balanced growth state. Suppose policymakers pursue policies that would increase the saving rate to s1=0.3. Draw a carefully-labelled diagram to illustrate the effect of the change in the saving rate on the economy in the long run. Explain the effect of the change in saving rate on steady-state capital per effective worker and steady-state consumption per effective worker?
Assume the per-worker production function is y = k1/2, depreciation is 4 percent of %3D capital, the labor force grows at 2 percent, and the savings rate is 30 percent. Then, the steady-state equilibrium is achieved when capital per worker is equal to: 2.5. 5. 6.25. 25.
Q8. Assume a closed economy. Suppose the capital-output ratio is 3, the depreciation rate is 3%, and the gross savings rate is 10%. Use the Harrod-Domar growth equation to determine the rate of growth in total output. What would the gross savings rate have to be to achieve 5% growth? Why is capital the only factor of production in the Harrod-Domar model? Compare the assumptions made about the production function in the Solow model and the Harrdo-Domar model.
Consider a closed economy in which the population grows at the rate of 1% per year. The per-worker production function is yt = 2.2kt^0.5, where y is output per worker and k is capital per worker. The depreciation rate of capital is 10% per year a- Households initially consume 80% of income and save the remaining 20% of income. There is no government spending. What are the steady-state values of capital per worker, output per worker, consumption per worker, and investment per worker? b-Suppose saving rate decreases to 10% permanently. What are the steady-state values of capital per worker, output per worker, consumption per worker, and investment per worker?
1 1 1. Assume that a country's production function is Y = K2L2. Assume there is no population growth or technological change What is labor productivity computed from the per-worker production function? Is this value the same as labor productivity computed from the original production function а. b. Assume that 10 percent of capital depreciates each year. What gross saving rate is necessary to make the given capital-labor ratio the steady-state capital-labor ratio? (Hint: In a steady state with no population growth or technological change, the saving rate multiplied by per-worker output must equal the depreciation rate multiplied by the capital-labor ratio.)
Shade the entire area that represents where K is being added faster than it is wearing out Shade the entire area that represents where K is wearing out faster than it is being replaced Label the point where the economy will settle
20) Suppose that the production function is y = k0.25[that is, output per worker is equal to the (1/4th) root of capital per worker], s = 0.36, and lowercase delta (5)[the depreciation rate] = 0.10 and the population growth is 2 percent (n = 0.02). What is (approximately) the per capita steady state %3D consumption in this economy? Select one: а. 5004 b. 1.45 С. 302 d. 0.92
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)=K0.4N0.6 Which Country has a higher level of GDP per capita in steady state? O Country A O Country B Not enough information
please answer the following, I have attached an image of the question for better format. Thanks! 3. Suppose that the production function of a country is given by Y=KaL1-a, where 0<a<1, Y is output, L is labour, and K is capital, Derive the equation for steady state capital per worker, output per worker, and consumption per worker in terms of the saving rate (s) and depreciation rate (d).
Country A and Country B both have the production function Y = F(K,L) = K¹/32/3 neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 30 percent of output each year. Now suppose that both countries start in year 1 with a capital stock per worker of 1. In what year will consumption in country B be higher than consumption in Country A? An excel spreadsheet may help simplify your calculation. You will need to round your calculations to 3 decimal places. O O O 5 6 4 Assume that 07

SEE MORE QUESTIONS

Recommended textbooks for you

ENGR.ECONOMIC ANALYSIS

Economics

ISBN:

9780190931919

Author:

NEWNAN

Publisher:

Oxford University Press

Principles of Economics (12th Edition)

Economics

ISBN:

9780134078779

Author:

Karl E. Case, Ray C. Fair, Sharon E. Oster

Publisher:

PEARSON

Engineering Economy (17th Edition)

Economics

ISBN:

9780134870069

Author:

William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

Publisher:

PEARSON

ENGR.ECONOMIC ANALYSIS

Economics

ISBN:

9780190931919

Author:

NEWNAN

Publisher:

Oxford University Press

Principles of Economics (12th Edition)

Economics

ISBN:

9780134078779

Author:

Karl E. Case, Ray C. Fair, Sharon E. Oster

Publisher:

PEARSON

Engineering Economy (17th Edition)

Economics

ISBN:

9780134870069

Author:

William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

Publisher:

PEARSON

Principles of Economics (MindTap Course List)

Economics

ISBN:

9781305585126

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Managerial Economics: A Problem Solving Approach

Economics

ISBN:

9781337106665

Author:

Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:

Cengage Learning

Managerial Economics & Business Strategy (Mcgraw-…

Economics

ISBN:

9781259290619

Author:

Michael Baye, Jeff Prince

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS