Q: Which formula correctly expresses the relationship between the money supply, monetary base, and the money multiplier?

$$\text{Money Supply} = \text{Monetary Base} \times \text{Multiplier}$$

Question 1

Which of the following best describes the monetary base (M0)?

Accepted Answer

The sum of currency in circulation and reserves held by banks at the Federal Reserve.

Question 2

Suppose the required reserve ratio (RR) is 0.2. What is the simple money multiplier?

Accepted Answer

$$\frac{1}{0.2} = 5$$

Question 3

If the Federal Reserve conducts an open market purchase of $$20$$ million in securities, what is the immediate effect on the monetary base?

Accepted Answer

The monetary base increases by $$20$$ million.

Question 4

During the Great Depression, the monetary base remained relatively flat while the money supply (M1) fell sharply. What explains this phenomenon?

Accepted Answer

The money multiplier decreased due to rising currency and excess reserves ratios.

Question 5

If the public decides to hold more currency and deposit less in banks, what happens to the money multiplier?

Accepted Answer

The money multiplier decreases.

Question 6

Given a reserve ratio (RR) of $$0.1$$ and an initial increase in reserves of $$15$$ million, what is the maximum possible increase in the money supply?

Accepted Answer

$$150$$ million

Question 7

Which of the following actions by the Fed would decrease the monetary base?

Accepted Answer

Conducting an open market sale of government securities.

Question 8

Why did the money supply fall during the Great Depression even though the monetary base did not decrease?

Accepted Answer

Both the currency ratio and excess reserves ratio increased, reducing the multiplier.

Question 9

If the reserve ratio increases from $$0.1 to$$ $$0.2$$, what happens to the money multiplier?

Accepted Answer

It decreases from $$10 to$$ $$5.$$

Question 10

Which of the following best explains why open market operations are the Fed’s primary tool for controlling the monetary base?

Accepted Answer

They directly change the reserves held by banks at the Fed.

Question 11

Suppose banks become more cautious during a recession and increase their excess reserves. What is the likely effect on the money supply, holding the monetary base constant?

Accepted Answer

The money supply decreases.

Question 12

If the Fed wants to offset a fall in the money multiplier during a financial crisis, what should it do?

Accepted Answer

Increase the monetary base.

Question 13

Which formula correctly expresses the relationship between the money supply, monetary base, and the money multiplier?

Accepted Answer

$$	ext{Money Supply} = 	ext{Monetary Base} 	imes 	ext{Multiplier}$$

Question 14

During a banking panic, which of the following typically occurs?

Accepted Answer

The excess reserves ratio rises as banks become more cautious.

Question 15

If the reserve ratio is $$0.1$$ and the public holds no currency, what is the total increase in deposits from an initial $$5$$ million increase in reserves?

Accepted Answer

$$50$$ million

Question 16

Which of the following is NOT directly controlled by the Federal Reserve?

Accepted Answer

Checking and savings deposits

Question 17

What is the main lesson for the Fed from the Great Depression regarding the money supply?

Accepted Answer

The Fed must respond to changes in the money multiplier to stabilize the money supply.

Question 18

If the public suddenly loses confidence in banks and withdraws deposits as cash, what happens to the currency ratio and the money multiplier?

Accepted Answer

Currency ratio rises, multiplier falls.

Question 19

Which scenario would most likely lead to deflation, according to the case study of the Great Depression?

Accepted Answer

A collapse in the money supply while the monetary base remains unchanged.

Question 20

If the Fed sells $$50$$ million in government securities to banks, and the reserve ratio is $$0.2$$, what is the maximum possible decrease in the money supply?

Accepted Answer

$$250$$ million

Money Supply, the Monetary Base, and the Money Multiplier: Mechanisms and Historical Case Study

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