Principles of Macroeconomics 2e
2nd Edition
ISBN: 9781947172388
Author: Steven A. Greenlaw; David Shapiro
Publisher: OpenStax
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Textbook Question
Chapter 14, Problem 20RQ
What is the formula for the money multiplier?
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evaluate the impact of government interventions, such as antitrust regulations, price controls, or subsidies, on various market structures. Select a specific industry and examine how these interventions have influenced competition, consumer welfare, and economic efficiency. Provide the pros and cons of government intervention.
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. [2 marks]
(b) What is the per-effective-worker production function, y = f(k), (where y = Y/AL
k K/AL)? (Show your working.)
[2 marks]
(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.)
[5 marks]
(d) Show that at the Golden Rule steady state the saving rate for this economy is
equal to the parameter a.
[6 marks]
A firm faces the following production function,
Y = AKα L¹-a
(1)
Here Y is output, K is capital, L is fixed labour, and A is a measure of technology.
The firm uses an optimal amount of capital determined by the condition,
MPK = r +8
(2)
Where MPK is the marginal productivity of capital, r is the real interest rate, and ♪ is
the depreciation rate.
(a) Using equations (1) and (2) find an expression for K*, the optimal amount of
capital the firm should use.
[3 marks]
(b) Referring to your result from part (a), comment on what happens to K* when
each of the following variables change (holding other variables constant),
(i)
The measure of technology (A) falls
(ii)
The depreciation rate (8) increases
(iii)
The real interest rate (r) increases
[2 marks]
[2 marks]
[2 marks]
[Hint: For each of parts (i)-(iii) you are being asked to comment on what happens to
K* if just the variable mentioned in the question part changes. Your answer should
state whether K* increases, decreases, or stays the…
Chapter 14 Solutions
Principles of Macroeconomics 2e
Ch. 14 - In many casinos, a person buys chips to use for...Ch. 14 - Can you name some item that is a store of value,...Ch. 14 - If you are out shopping for clothes and books,...Ch. 14 - For the following list of items, indicate If they...Ch. 14 - Explain why the money listed under assets on a...Ch. 14 - Imagine that you are in the position of buying...Ch. 14 - What are the four functions that money serves?Ch. 14 - How does the existence of money simplify the...Ch. 14 - What is the double-coincidence of wants?Ch. 14 - What components of money do we count as part of...
Ch. 14 - What components of money do we count in M2?Ch. 14 - Why do we call a bank a financial intermediary?Ch. 14 - What does a balance sheet show?Ch. 14 - What are a banks assets? What are its liabilities?Ch. 14 - How do you calculate a banks net worth?Ch. 14 - How can a bank end up with negative net worth?Ch. 14 - What is the asset-liability time mismatch that all...Ch. 14 - What is the risk if a bank does not diversify its...Ch. 14 - How do banks create money?Ch. 14 - What is the formula for the money multiplier?Ch. 14 - The Bring it Home Feature discusses the use of...Ch. 14 - Imagine that you are a barber in a world without...Ch. 14 - Explain why think the Federal Reserve Bank tracks...Ch. 14 - The total amount of U.S. currency in circulation...Ch. 14 - Explain the difference between how you would...Ch. 14 - Should banks have to hold 100 of their deposits?...Ch. 14 - Explain what will happen to the money multiplier...Ch. 14 - What do you think the Federal Reserve Bank did to...Ch. 14 - If you take 100 out of your piggy bank and deposit...Ch. 14 - A bank has deposits of 400. It holds reserves of...Ch. 14 - Humongous Bank is the only bank in the economy....
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