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APPLICATION Suppose that the reserve requirement is 10% on all deposits and the

ID: 2495470 • Letter: A

Question

APPLICATION

Suppose that the reserve requirement is 10% on all deposits and the balance sheet of People’s National Bank looks like the following (in billions):

Assets

Vault Cash $555

Reserves at the Fed $545

Loans Outstanding $657

Securities $1100

Buildings & Equipment $1400

Other Assets $2115

Liabilities

Demand Deposits $545

Savings Deposits $7245

Time Deposits $2210

Other Liabilities $785

Net Worth ??

What is the “Net Worth” of the bank?

2. What is the dollar value of required reserves for People’s National Bank?

3. Does the bank have any excess reserves?

4. What is the maximum amount of new loans the bank can extend?

5. Indicate how the bank’s balance sheet would be altered if it made these new loans.

6. Suppose that the required reserves were 20 percent; if this were the case, would the bank be in a position to extend any additional loans? Would it satisfy the reserve requirement?

2. Imaging the FED engages in an open market sale of $25 million; using a balance sheet for both the bank and the FED, illustrate the changes.

3. If an individual moves $500 from their checking to their savings, how will this affect M), M1, M2, and M3? What about moving funds from savings to checking?

Explanation / Answer

1.

Net worth = Total Assets – Total Liabilities

Total Assets = Vault Cash + Reserves at the Fed + Loans Outstanding + Securities + Buildings & Equipment + Other Assets

Total Assets = 555 + 545 + 657 + 1100 + 1400 + 2115 = $6372

Total Liabilities = Demand Deposits + Savings Deposits + Time Deposits + Other Liabilities

Total Liabilities = 545 + 7245 + 2210 + 785 = $10785

Net Worth = Total Assets – Total Liabilities = 6372 – 10785

Net Worth = - $4413

2.

Total deposits = Demand deposits + saving deposits + time deposits

Total deposits = 545 + 7245 + 2210 = 10000

Reserve ratio = 10%

Thus,

Required Reserve = 10000*10% = $1000

3.

Total Reserve = Vault Cash + Reserve at the Fed

Total Reserve = 555 + 545 = $1100

Excess Reserve = Total Reserve - Required Reserve

Excess Reserve = 1100 – 1000 = $100

Thus, there is an excess reserve.

4.

Excess reserve of $100 can be issued as a new loan by the bank.

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