MINDTAP ECONOMICS FOR BOYES/MELVIN'S MA
MINDTAP ECONOMICS FOR BOYES/MELVIN'S MA
10th Edition
ISBN: 9781305387713
Author: MELVIN
Publisher: Cengage Learning
Question
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Chapter 13, Problem 15E
To determine

(a)

To compute:

The maximum increase in the money supply, if the reserve requirement is 20 percent.

Expert Solution
Check Mark

Answer to Problem 15E

If the reserve requirement is 20 percent, the maximum increase in money supply is $5,000.

Explanation of Solution

Given information:

The banking system has vault cash of $1,000, deposits at the Fed are of $2,000 and demand deposits are of $10,000.

As in the balance sheet, the total assets are equal to total liabilities. Therefore, the amount to be taken is $7,000.

Totalassets=Vaultcash+DepositsinFed+Loans=$1,000+$2,000+$7,000=$10,000

Total liabilities are of $10,000.

Calculation for increase in money supply:

Increaseinmoneysupply=DepositExpansionMultiplier×ExcessReserve=5×$1,000=$5,000

Working Note:

Calculation for the required reserve:

RR=r×D=120×10,000=$2,000

Calculation for the excess reserve by calculating total legal reserve:

  LegalReserve=Vault+Deposit=$1,000+$2,000=$3,000

Now, calculation of excess reserve:

ExcessReserve=LegalReserveRequiredReserve=$3,000$2,000=$1,000

Calculation for the deposit expansion multiplier:

  DepositExpansionMultiplier=1ReserveRequirement=120×100=5

Economics Concept Introduction

Required reserve:

It refers to a certain amount of cash from the deposit that a bank needs to keep according to the guidelines of the central bank.

Required reserve is calculated by,

RR=r×D

Here, RR is reserve, r is percentage of required reserve and D is the total amount in deposits.

Excess reserve:

It refers to the amount left after separating the required reserve ratio of the financial institution.

ER=CashReserveRequiredReserve

To determine

(b)

To compute:

The excess reserves of the banking system.The amount by which the money supply is increased, if the money purchased by Fed is $100 worth of the government bonds from private bond dealers.

Expert Solution
Check Mark

Answer to Problem 15E

The excess reserve of the banking system after Fed buys $100 bonds $900.

The maximum increase in money supply after the Fed buys $100 bonds is $4,500.

Explanation of Solution

Given information:

The banking system has vault cash of $1,000, deposits at the Fed of $2,000 and demand deposits of $10,000.

According to the given information, the change in balance sheet after the Fed buys the $100 worth bonds are as follows:

    ParticularsAmount ($)ParticularsAmount ($)
    Vault Cash$900Demand deposits$10,000
    Deposit in Fed$2,000
    Bonds$100
    Loan$7,000
    Total$10,000$10,000

Table (1)

Calculation for excess reserve:

ExcessReserve=LegalReserveRequiredReserve=$2,900$2,000=$900

Therefore, the excess reserve would be $900.

Calculation for increase in money supply:

Increaseinmoneysupply=DepositExpansionMultiplier×ExcessReserve=5×$900=$4,500

The maximum increase in money supply after the Fed buys $100 bonds is $4,500.

Working Note:

Calculation for the required reserve.

RR=r×D=120×10,000=$2,000

Calculation of the excess reserve by determining total legal reserve.

  LegalReserve=Vault+Deposit=$900+$2,000=$2,900

To calculate maximum increase in the money supply, calculate the deposit expansion multiplier.

  DepositExpansionMultiplier=1ReserveRequirement=120×100=5

Economics Concept Introduction

Required reserve:

It refers to the certain amount of cash from the deposit that a bank needs to keep according to the guidelines of the central bank.

Required reserve is calculated by,

RR=r×D

Here, RR is reserve, r is percentage of required reserve and D is the total amount in deposits.

Excess reserve:

It refers to the amount left after separating the required reserve ratio of the financial institution.

ER=CashReserveRequiredReserve

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