Macroeconomics
Macroeconomics
10th Edition
ISBN: 9781319105990
Author: Mankiw, N. Gregory.
Publisher: Worth Publishers,
Question
Book Icon
Chapter 8, Problem 1QQ
To determine

The saving rate.

Expert Solution & Answer
Check Mark

Answer to Problem 1QQ

Option (a) is the correct answer.

Explanation of Solution

Option (a):

The production function is given as y=20k12 . When the current capital stock is 100 and the depreciation rate is 10 percent and the population growth rate is 2 percent, the saving rate must exceed 6 percent for the income of the person to grow. Thus, option (a) is correct.

Option (b):

With the given production function, the income of the person grows when the saving rate exceeds 8 percent. However, this is not the minimum value for this condition. Thus, option (b) is incorrect.

Option (c):

With the given production function, the income of the person grows when the saving rate exceeds 10 percent. However, this is not the minimum value for this condition. Thus, option (c) is incorrect.

Option (d):

With the given production function, the income of the person grows when the saving rate exceeds 12 percent. However, this is not the minimum value for this condition. Thus option (d) is incorrect.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Assume that a country's per-worker production is y = k/2, where y is output per worker and k is capital per worker. Assume also that 10 percent of capital depreciates per year (= 0.10) 2 and there is no population growth or technological change. a. If the saving rate (s) is 0.4, what are capital per worker, production per worker, and consumption per worker in the steady state? b. Solve for steady-state capital per worker, production per worker, and consumption per worker with s = 0.6. c. Solve for steady-state capital per worker, production per worker, and consumption per worker with s = 0.8.
Economic Growth II- Work It Out Question 1 An economy has a Cobb-Douglas production function: Y = K (LE)¹- The economy has a capital share of 0.35, a saving rate of 45 percent, a depreciation rate of 5.00 percent, a rate of population growth of 5.50 percent, and a rate of labor- augmenting technological change of 4.0 percent. It is in steady state. c. The economy has capital than at the Golden Rule steady state. To achieve the Golden Rule steady state, the saving rate needs to d. Suppose the change in the saving rate you described in part c occurs. During the transition to the Golden Rule steady state, the growth rate of output per worker will be the rate you derived in part a. After the economy reaches its new steady state, the growth rate of output per worker will be
Population Growth and Technological Progress – Work It Out PLEASE WRITE ANSWERS CLEARLY An economy has a Cobb-Douglas production function: Y = K“(LE)'-a The economy has a capital share of 0.30, a saving rate of 42 percent, a depreciation rate of 4.00 percent, a rate of population growth of 5.25 percent, and a rate of labor-augmenting technological change of 3.5 percent. It is in steady state. b. Solve for capital per effective worker (k*), output per effective worker (y*), and the marginal product of capital. k* = y* = marginal product of capital =
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:9780190931919
Author:NEWNAN
Publisher:Oxford University Press
Text book image
Principles of Economics (12th Edition)
Economics
ISBN:9780134078779
Author:Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:PEARSON
Text book image
Engineering Economy (17th Edition)
Economics
ISBN:9780134870069
Author:William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:PEARSON
Text book image
Principles of Economics (MindTap Course List)
Economics
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:Cengage Learning
Text book image
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Text book image
Managerial Economics & Business Strategy (Mcgraw-...
Economics
ISBN:9781259290619
Author:Michael Baye, Jeff Prince
Publisher:McGraw-Hill Education