Economics Today: The Macro View (19th Edition) (Pearson Series in Economics)
Economics Today: The Macro View (19th Edition) (Pearson Series in Economics)
19th Edition
ISBN: 9780134478869
Author: Miller
Publisher: PEARSON
Question
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Chapter 15, Problem 25P
To determine

Concept introduction:

Open Market Operations: It refers to the buying and selling of government securities by the Federal Reserve from or to the banking system with a view to prevent the economy from overheating or slipping into a recession.

Depository Institution: A depository institution is a financial institution that accepts deposits from its customers and renders various services to them.

Required Reserves: They refer to the portion of its total deposits that a depository institution must hold as vault cash with the Federal Reserve.

Excess Reserves: They refer to the portion of its total deposits that a depository institution holds as vault cash with itself in excess of the required reserves.

Total Reserves: They are the total reserves held by a depository institution and consist of both required and excess reserves.

Answer:

The figure shown below depicts that the Federal Reserve injects $ 100,000 into the banking system through an open market purchase and increases the excess reserves of the banking system. Increase in excess reserves increases the lending capacity of the banking system and thereby increases money supply by $ 1 million.

Economics Today: The Macro View (19th Edition) (Pearson Series in Economics), Chapter 15, Problem 25P , additional homework tip  1

The potential money multiplier is 10.

The money supply will decrease by $ 1 million.

Explanation:

It is clear from the figure that if the Federal Reserve injects $ 100,000 into the banking system through an open market purchase, money supply in the economy expands by $ 1 million.

MM denotes money multiplier, △ER denotes change in excess reserves of the brought about by an open market purchase and △Ms denotes the resultant change in money supply.

The potential money multiplier can be calculated as follows:

    Economics Today: The Macro View (19th Edition) (Pearson Series in Economics), Chapter 15, Problem 25P , additional homework tip  2

    Thus, the potential money multiplier is 10.

    If the Federal Reserve withdrew $ 100,000 from the banking system through an open market sale, excess reserves of the banking system would contract by $100,000. As a result, money supply in the economy would contract over multiple rounds through the money multiplier process as shown in the figure below:

    Economics Today: The Macro View (19th Edition) (Pearson Series in Economics), Chapter 15, Problem 25P , additional homework tip  3

    The change in money supply resulting from the open market sale can be calculated as follows:

      Economics Today: The Macro View (19th Edition) (Pearson Series in Economics), Chapter 15, Problem 25P , additional homework tip  4

      Thus, the money supply would decrease by $ 1 million.

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