5. Consider the Solow growth model with no population growth and no tech-nology growth, i.e., n = x = 0. Output is created by a Cobb-Douglas pro-duction function combining Labor, Lt, and capital, Kt, such that outputYt is given byY₁ = A+ KL-a.Recall that, without population growth, Lt = Lo and assume that Lo = 2.Furthermore, recall that, without technology growth, At = Ao and assume===that Ao 1. Assume that the savings rate is s = 0.4, the depreciationrate is :0.15, and that the capital share is a = 0.3. A lower caseletter denotes a variable in per capita. For example, kt = Kt/Lt. In thefollowing questions, choose the closest number. What is the value of kss?(a) 40.6=(b) 4.1(c) 2.8(d) 286. What is the value of Yss for the economy described in Question 5(a) 30.5(b) 1.03(c) 3.05(d) 10.3

Detailed explanation:Step by step solution using the Solow growth model.5. To find the steady-state…

Answered: 5. Consider the Solow growth model with…

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

4. Consider the following endogenous growth model: a representative household's life-time utility function is given as: pe C(t)!-o – 1 -dt. 1- 0 The production function is: Y (t) = AK(t)ª Hp(t)'-a where Hp(t) denotes human capital used in production. Human capital accumulation equation is: Н() — ВНE() — 6H(), where HE(t) is human capital devoted to education. In total we have HE(t) + Hp(t) H(t). Denote the fraction of human capital allocated to production by ø(t). Please go as far as you can to characterize the balanced growth path of the economy.
Hi, can you please help me to solve this macroeconomics question. Describe the version of the endogenous growth model with capital. Explain the assumptions of the model together with the key equations describing the law of motion of the growth rates of technology and physical capital. Explain how it depends on the degree of returns to scale to technology and physical capital in knowledge production.
6. Consider the Solow model discussed in class. Consider a population growth rate increase from n to n'. Show graphically what happens to capital per worker (k) and output per worker (y).
Assume the production function takes the general form: Y=Z*F (K,L,A)where all marginal products are positive.Which 3 of the following statements are correct?a. If A is fixed, then population growth acts as a drag on growth of output per person.b. If A is fixed, then population growth acts as a drag on growth, and so Malthus was correct that populationgrowth will always reverse the impact of technological improvements.c. Both rises in z and rises in K/L (capital intensity) will boost output per worker.d. Growth in output per worker can occur due to rises in z (technology) or rises in K/L (capital intensity), orboth.
If the current capital stock per person in South Korea is greater than the current capital stock per person in China and total factor productivity is the same in both countries, according to the Solow model: O a. China initially will grow slower than South Korea, but each will have the same steady state Ob. China initially will grow faster than South Korea, but each will have the same steady state О с. Both South Korea and China initially will grow at the same rate and have the same steady state O d. China initially will grow faster than South Korea and will have a lower steady state О . China initially will grow faster than South Korea and will have a higher steady state
how to do all parts?
1. Country A and B both have the production functionY = F (K, L) = K ½L ½or Y = K0.5 L0.5 a) What is the per-worker production function, y= f (k)? Please make sure to write specificfunctional form of the per-worker production function. b) Assume that neither country experiences population growth nor technological progressand that 4 percent of capital depreciates each year. Assume further that country A saves 24percent of output each year and country B saves 16 percent of output each year. Using youranswer from part a) and the steady-state condition, find the steady-state level of capital perworker for each country. Then find the steady-state levels of income per worker for eachcountry and steady-state level of consumption per worker for each country.
In class we argued that if people could accumulate human as well as physical capital, the production function would look like the “AK” production function. • (a) If the production function is AK and the savings rate is constant at rate “s”, and the rates of depreciation and populati on growth are δ and n respectively, what would the growth rate of the economy be? • (b) What would be the macroeconomic consequences of decreasing the savings rate in this economy? • (c) What would be the consequences of an increase in fertility in this economy? • (d) Would the consequences of decreasing fertility be UNAMBIGUOUSLY GOOD? • (e) Can human capital grow without bounds? Explain why or why not (make sure you discuss the physical nature of human capital). • (f) What is the growth rate of the economy (in the absence of technological progress) if human capital cannot grow without bounds?
Explain how and why we need to extend the standard Solow model of long-run economic growth without technological progress to account for the increase of global GDP over the last 200 years. Critically discuss the standard Solow model with technological progress.
9. Consider our graph of the basic Solow growth model. steady state dk y=F(() F() (-7' in LF equilibrium) On the graph above: y represents real output (or income) per worker; y-F(k) is the production function; is the capital stock per worker; s is the savings rate; 8 is the rate of depreciation of capital; 'i' represents business investment (purchases of capital) per worker); 'LF' stands for Loanable Funds. (For purposed of intuition, think of capital as 'machines.) If we started out with a capital (per worker) stock higher than the steady-state stock (above), we would expect to see which of the following happen over time? Positive growth rates while the capital stock increases. Positive growth rates while the capital stock stays less than the steady-state level. Negative growth rates while the capital stock increases. Positive growth rates while the capital stock decreases. Negative growth rates while the capital stock decreases.
Consider the Solow growth model with labor growth and no technology growth, i.e., n = 0, x = 0. Output is created by a Cobb-Douglas produc- n0,x tion function combining Labor, Lt, and capital, Kt, such that output, Y+is given by Y₁ = A+ KL Yt 1-a For a given time t, Given a level of Capital, and Investment, It, and a depreciation rate of capital, 8, the level of capital at time t+1 is given by the following law of motion of capital K++1 = Kt - 8Kt + It The labor growth rate in this economy is n = 2%, depreciation is 8 = 4%, the savings rate is s = 25%, and a = 0.3. Initial levels of capital, labor and technology are Ko = 10, Lo = 5, Ao = 1 respectively. The economy is assumed to be closed with no government spending. What is the value for capital per worker at time t = 1? (a) 2.22 (b) 2.57 (c)1.78 (d) 1.82
1. Consider an economy that operates under competitive markets and meets the assumptions of the Solow model. The production function is given as follows: Y(t) = K (t) 0.3 (A(t)L(t)) ⁰.7 Assume a saving rate of 15%, labor force growth rate of 2% and depreciation rate of 5% and effectiveness of labor growth rate of 8%. a. Show that the production function exhibit constant return to scale? b. Derive the production function for output per capita. c. Derive the production function for output per effective unit of labor. d. Find equilibrium real wage as a function of capital per unit of effective labor and effectiveness of labor. e. Find equilibrium real rental price of capital as a function of capital per unit of effective labor and effectiveness of labor. f. Solve for steady state level of capital per unit of effective labor. g. Find steady state level of output per unit of effective labor. h. Find growth rate of output and output per worker on the balanced growth path. i. Which one would…

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