(a) Explain the meaning of velocity of money (b) Suppose the money supply M has been growing at 10% per year, and nominal GDP, PY, has been growing at 20% per year. The data are as follows (in billions of dollars): Year 2018 2019 2020 M 100 110 121 PY 1000 1200 1440 Calculate the velocity for each year. At what rate is the velocity growing? (c) Calculate what happens to nominal GDP if velocity remains constant at 5 and the money supply increases from $200 billion to $300 billion.

ECON MACRO
5th Edition
ISBN:9781337000529
Author:William A. McEachern
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Chapter15: Monetary Theory And Policy
Section: Chapter Questions
Problem 3.6P
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(a) Explain the meaning of velocity of money
(b) Suppose the money supply M has been growing at 10% per year, and nominal GDP, PY,
has been growing at 20% per year. The data are as follows (in billions of dollars):
Year
2018
2019
2020
M
100
110
121
PY
1000
1200
1440
Calculate the velocity for each year. At what rate is the velocity growing?
(c) Calculate what happens to nominal GDP if velocity remains constant at 5 and the money
supply increases from $200 billion to $300 billion.
(d) What happens to nominal GDP if the money supply grows by 20% but velocity declines
by 30%?
(e) If velocity and aggregate output remain constant at 5 and $1000 billion, respectively,
what happens to the price level if the money supply declines from $400 billion to $300
billion?
Transcribed Image Text:(a) Explain the meaning of velocity of money (b) Suppose the money supply M has been growing at 10% per year, and nominal GDP, PY, has been growing at 20% per year. The data are as follows (in billions of dollars): Year 2018 2019 2020 M 100 110 121 PY 1000 1200 1440 Calculate the velocity for each year. At what rate is the velocity growing? (c) Calculate what happens to nominal GDP if velocity remains constant at 5 and the money supply increases from $200 billion to $300 billion. (d) What happens to nominal GDP if the money supply grows by 20% but velocity declines by 30%? (e) If velocity and aggregate output remain constant at 5 and $1000 billion, respectively, what happens to the price level if the money supply declines from $400 billion to $300 billion?
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