In the Solow model with technological progress, suppose that the rate year, the population growth rate is 2% per year, and the growth rate of technology is 3% per year. Which of the following equals the annual growth rate of "effective labor" in the steady state in this economy? O 2% O 3% O 5% O 10%

In the Solow model with technological progress, suppose that the rate year, the population growth rate is 2% per year, and the growth rate of technology is 3% per year. Which of the following equals the annual growth rate of "effective labor" in the steady state in this economy? O 2% O 3% O 5% O 10%

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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Question I - Solow Model without Population or Technology Growth Consider the Solow growth model with no population growth and no technology growth, i.e., n = x = 0. Output is created by a Cobb-Douglas production function combining Labor, Lt, and capital, Kt, such that output Yt is given by Y₁ = A+ KL 1-α = = Recall that, without population growth, Lt Lo and assume that Lo 1. Furthermore, recall that, without technology growth, At Ao and assume that A0 = 1. The law of motion for capital per worker is = kt+1 = (1 − 6) kt + sAtko. (1) Assume that the savings rate is s = 0.2, the depreciation rate is 8 = 0.1, and that the capital share is a = 0.3. 1. Use equation (1) to solve for the steady state level of capital, kss, (hint, replace kss in that equation on both sides) kss = What is the steady state level of capital? (Replace the numbers in the expression) = 2. Suppose that this economy starts with ko 1. Does capital grow or fall over time? What is the maximum level of capital per capita…
In the Solow growth model, which of the following is/are the effect/s of an increase in the rate of technological progress? (i) higher capital-output ratio (ii) faster growth in output per worker (iii) faster growth in output O a. (i), (ii), and (iii) O b. Only (i) and (ii) O c. Only (1) and (iii) O d. Only (ii) and (iii)
Last year real GDP in the imaginary nation of Oceania was 561.0 billion and the population was 2.2 million. The year before, real GDP was 500.0 billion and the population was 2.0 million. What was the growth rate of real GDP per person during the year? O 12% O 10% O 4% 2%
In the Solow growth model without population growth and technological progress, consumption per worker will be maximized in the steady state when: (1) Output per worker is maximized. (ii) Investment per worker is maximized. (iii) The marginal product of capital equals the depreciation rate. O a. (i), (ii), and (ii) O b. Only (iii) O c. Only (ii) Od. Only (1)
Based on the notations used in class, suppose you are given the following information for the Solow growth model (with population growth and depreciation but without technological progress): y = k0.5, 8 = 0.04, n = 0.01, and s= 0.25. What is the steady-state level of k? O a. 36 O b. 15 O c. 25 O d. 5
Suppose the government decides to reduce the Department of Science and Technology's budget for research. Assume this cancelled investment in research could have paid off in terms of useful innovations that increase labor efficiency. Which of the following statements is true under the Solow growth model with population growth and technological progress? In the steady state, the growth rate of the country's output per capita is expected to decrease. O b. In the steady state, the growth rate of the country's output per capita is expected to increase. O c. All the other statements are false. d. In the steady state, the growth rate of the country's total output is expected to increase.
Assume that an economy described by the Solow model is in a steady state with output and capital growing at 3 percent and labor growing at 2 percent. The capital share is 0.4. The growth-accounting equation indicates that the contributions to growth of capital, labor, and total factor productivity are: O a. 1.2 percent, 1.2 percent, and 0.6 percent, respectively. O b. 3 percent, 2 percent, and 1 percent, respectively. O c. 0.4 percent, 0.6 percent, and 1 percent, respectively. O d. 0.4 percent, 0.6 percent, and 0.2 percent, respectively.
If real GDP per capita is increasing, the rate of real GDP growth is: O less than the rate of population growth. O greater than the rate of population growth. less than the rate of inflation. greater than the rate of inflation.
Suppose Country A currently has more output and capital than Country B. However, Country A has no technological growth while Country B has persistent technological growth. Assume that the two countries are similar in all other variables. According to the Solow growth model with technological progress, we can expect that: O a. At some future point, Country B will have a higher income per capita. O b. In the steady state, Country B will reach the same income per capita as Country A. All the other statements are false. c. O d. Since they have different steady states, the growth of output per effective worker in both countries will have different rates.
According to the Solow model, an increase to the savings rate will increase income per worker in the steady-state, but will have no effect on long-run growth rate of income per worker. O increase consumption per worker if and only if the new steady-state capital per worker is greater than the golden rule level of capital per worker. O increase the long-run growth rate of income per worker if and only if the new steady-state capital per worker is greater than the golden rule level of capital per worker. O increase income per worker in the steady-state and long-run growth rate of income per worker.
Question 2 Suppose that the production function is Y = 10K5L5, the population growth rate is 15 percent and the depreciation rate is 5 percent. What is the steady state level of k if the economy saves 30 percent? O 400 O 225 100 O 1000 Question 3 Suppose that the production function is Y 10K SL5, the population growth rate is 15 percent and the depreciation rate is 5 percent. What is the steady state level of y if the economy saves 30 percent? 250 350 150 O 450
Last year real GDP in the imaginary nation of Olympus was 445.0 billion and the population was 2.2 million. The year before, real GDP was 390.0 billion and the population was 2.1 million. What was the growth rate of real GDP per person during the year? 14.1 percent O 0.09 percent O 1.09 percent 8.9 percent