Suppose the production function is given by Y= VK\N, where Y is the amount of output, Kis the amount of capital, and N is the number of workers. Suppose further that there are notechnological progress and population growth. What is the expression in terms of the savingrate, s, and the depreciation rate, 8, for the level of consumption per worker in the steadystate?Oa.2(1 – s)Ob.4(1 – s)O c. All of the answers here are incorrect* 4s(1 – s)Od.O* 2s(1 – s)

Production function, Y = K NY = OutputK = CapitalN = WorkersSavings rate = sDepreciation rate = δ

Answered: Suppose the production function is…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Consider an economy that exhibits both population growth (L grows at rate n) and technological progress (A grows at rate a) described by the production function, Y = F(K,AL) = Kª(AL)¹-α| Here K is capital and Y is output. (a) Show that this production function exhibits constant returns to scale. What is the per-effective-worker production function? (c) Find expressions for the steady-state capital-output ratio, capital stock per effective worker, and output per effective worker, as a function of the saving rate (s), the depreciation rate (8), the population growth rate (n), the rate of technological progress (a), and the coefficient a. (You may assume the condition that capital per effective worker evolves according to Ak = sf (k) − (a +n+8)k.) (d) Show that at the Golden Rule steady state the saving rate for this economy is equal to the parameter a.
if real GDP grows at an annual rate of 3.4% and the population grows at an annual rate of 1.6% then at approximately what rate is the real GDP per capital growing?
Given a saving rate of 5%, a depreciation rate of 1%, and a production function in which y = k0.5where y is output per worker and k is capital per worker, calculate the steady state values fori. capital per worker, ii. output per worker, iii. consumption per worker
9. Suppose there is no population or technological growth. Define k as the capital-to-labor ratio. If the per worker production function is given by y = ¹/2, the saving ratio is 0.3, and the depreciation rate is 0.1, then the steady state capital per worker ratio is (a) 1 (b) 2 (c) 4 (d) 6 9
5.2 Consider the following economy: FYI: for this production function.() = A Parameter Value Investment rate (0) 3% Depreciation rate (8) 5% Population growth (9₁) 2% Productivity level (A) 25 Productivity Growth (ga) 4% Currently, the economy has a labour force of 5,000 and a capital stock equal to 15,000. 5.2.1 Calculate this country's current rate of economic growth. 5.2.2 How fast will country grow annually once its steady state is reached? 12 Y = AK3L3
3. Y₁ = 3k+0.5 St = 0.3Yt d = 0.1 n = 0.05 What are the steady-state values of the capital-labor ratio k, output per worker y, and consumption per worker?
Don’t need explanation
Are there key differences between an increase in the capital stock and an improvement in the level of technology?
Suppose that the per hour worked form of the production function for an economy is given by y = 10k03 The depreciation rate is 11%, the saving rate is 21%, and the growth rate of labor hours is 7%. The steady-state capital-labor ratio for this economy is (Round your response to two decimal places.)
an economy is given by y=k^( 1/3). The depreciation rate is 16%, the saving rate is 26%, the growth rate of the labor force is 4%, and the growth rate of labor-augmenting technological change is 4%. Given these features, this economy's steady-state level of capital per effective worker is (Enter your response rounded to two decimal places.)
Suppose that two countries share identical technology, depreciation rate, saving rate, and population growth. However, these two countries started off with different levels of capital stock. Which of the following is/are true? (i) The country with initially smaller capital stock grows more quickly to reach the steady state compared to the country with initially larger capital stock. (ii) The country with initially smaller capital stock will have a smaller capital stock in the steady state compared to the country with initially larger capital stock. (iii) Both countries will grow at the same rate in reaching the steady state. O a. Both (i) and (ii). O b. Only (iii). O c. Only (i). O d. Cannot tell. Need more information.
Assuming an economy is at steady state, with the use of an appropriate diagram withdescriptions illustrate the impact of a reduction in the saving rate on capital perworker and output per worker.

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