Macroeconomics
Macroeconomics
10th Edition
ISBN: 9781319105990
Author: Mankiw, N. Gregory.
Publisher: Worth Publishers,
Question
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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.

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5. We learnt the following equation in the class: Ak = sy - (n + 8)k where y = ko. Now, I transform this equation into: Ak/k = sy/k - (n + 8). I want you to use a diagram to show the steady state solution of this equation (In the diagram, there will be two curves - one represents sy/k and one represents (n + 8). In the steady state, of course, Ak/k = 0). In this diagram, the x-axis is k. What will happen to this diagram if the value of n increases?
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