Assume that the demand for money is given by Md = $Y (0.8 - 4i ). Initially, the monetary base is $100 billion, and nominal income is $5 trillion. Also suppose that the public holds no currency and the ratio of reserves to deposits is 0.1. a. What is the demand for central bank money? b. Find the equilibrium interest rate by setting the demand for central bank money equal to the supply of central bank money. c. What is the overall supply of money? Is it equal to the overall demand for money at the interest rate you found in part (b)? d. What is the impact on the interest rate if central bank money is increased to $300 billion? e. What is the impact if the central bank decided to increase required reserve ratio to 0.2?

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter21: The Monetary System
Section: Chapter Questions
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Assume that the demand for money is given by Md = $Y (0.8 - 4i ). Initially, the
monetary base is $100 billion, and nominal income is $5 trillion. Also suppose that the
public holds no currency and the ratio of reserves to deposits is 0.1.
a. What is the demand for central bank money?
b. Find the equilibrium interest rate by setting the demand for central bank money
equal to the supply of central bank money.
c. What is the overall supply of money? Is it equal to the overall demand for money
at the interest rate you found in part (b)?
d. What is the impact on the interest rate if central bank money is increased to $300
billion?
What is the impact if the central bank decided to increase required reserve ratio to
0.2?
Transcribed Image Text:Assume that the demand for money is given by Md = $Y (0.8 - 4i ). Initially, the monetary base is $100 billion, and nominal income is $5 trillion. Also suppose that the public holds no currency and the ratio of reserves to deposits is 0.1. a. What is the demand for central bank money? b. Find the equilibrium interest rate by setting the demand for central bank money equal to the supply of central bank money. c. What is the overall supply of money? Is it equal to the overall demand for money at the interest rate you found in part (b)? d. What is the impact on the interest rate if central bank money is increased to $300 billion? What is the impact if the central bank decided to increase required reserve ratio to 0.2?
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