In Econland, current money supply is 1,000, the price level is 3, and real output is 600. Real GDP grows by 2.5 percent per year, the money supply grows by 5 percent per year. The velocity of money is constant. a. Find the velocity of money. b. Suppose the velocity of money is constant. Use the quantity theory of money to find the inflation rate. What happens to inflation if money growth

ECON MACRO
5th Edition
ISBN:9781337000529
Author:William A. McEachern
Publisher:William A. McEachern
Chapter15: Monetary Theory And Policy
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In Econland, current money supply is 1,000, the price level is 3, and real
output is 600. Real GDP grows by 2.5 percent per year, the money supply
grows by 5 percent per year. The velocity of money is constant.
a. Find the velocity of money.
b. Suppose the velocity of money is constant. Use the quantity theory of
money to find the inflation rate. What happens to inflation if money growth
rate increases?
c. By how much does nominal GDP grow per year?
d. Suppose, instead of a constant velocity of money, the velocity of money
in Econland grows steadily at 1% per year because of financial innovation.
Use the quantity theory of money to find inflation. What is inflation if the
velocity of money grows at 2% per year? Are the velocity of money and
inflation positively or negatively related? How should the central bank
change the money supply growth to compensate for the growth in velocity
to keep inflation at the level in (b)?
Transcribed Image Text:In Econland, current money supply is 1,000, the price level is 3, and real output is 600. Real GDP grows by 2.5 percent per year, the money supply grows by 5 percent per year. The velocity of money is constant. a. Find the velocity of money. b. Suppose the velocity of money is constant. Use the quantity theory of money to find the inflation rate. What happens to inflation if money growth rate increases? c. By how much does nominal GDP grow per year? d. Suppose, instead of a constant velocity of money, the velocity of money in Econland grows steadily at 1% per year because of financial innovation. Use the quantity theory of money to find inflation. What is inflation if the velocity of money grows at 2% per year? Are the velocity of money and inflation positively or negatively related? How should the central bank change the money supply growth to compensate for the growth in velocity to keep inflation at the level in (b)?
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