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MHM Bank currently has $750 million in transaction deposits on its balance sheet

ID: 2721224 • Letter: M

Question

MHM Bank currently has $750 million in transaction deposits on its balance sheet. The current reserve requirement is 8 percent, but the Federal Reserve is increasing this requirement to 10 percent.

Show the balance sheet of the Federal Reserve and MHM Bank if MHM Bank converts all excess reserves to loans, but borrowers return only 50 percent of these funds to MHM Bank as transaction deposits. (Enter your answers in millions. Do not round intermediate calculations. Round your "Panel B" answers to 3 decimal places. (e.g., 32.161))

Show the balance sheet of the Federal Reserve and MHM Bank if MHM Bank converts 80 percent of its excess reserves to loans and borrowers return 85 percent of these funds to MHM Bank as transaction deposits. (Enter your answers in millions. Do not round intermediate calculations. Round your "Panel B" answers to 3 decimal places. (e.g., 32.161))

a.

Show the balance sheet of the Federal Reserve and MHM Bank if MHM Bank converts all excess reserves to loans, but borrowers return only 50 percent of these funds to MHM Bank as transaction deposits. (Enter your answers in millions. Do not round intermediate calculations. Round your "Panel B" answers to 3 decimal places. (e.g., 32.161))

Explanation / Answer

Show the balance sheet of the Federal Reserve and MHM Bank if MHM Bank converts all excess reserves to loans, but borrowers return only 50 percent of these funds to MHM Bank as transaction deposits. (Enter your answers in millions. Do not round intermediate calculations. Round your "Panel B" answers to 3 decimal places. (e.g., 32.161))

Panel A: Initial Balance Sheets: (IN MILLIONS)
FED
Assets- Securities: $60
Liabilities- Reserve Accounts: $60
MHM Bank
Assets- Loans: $690
Reserve Deposits at Fed: $60
Liabilities- Transaction deposits: $750

Panel B: After All Changes: (IN MILLIONS)
FED
Assets- Securities: $72,5
Liabilities- Reserve Accounts: $72,5
MHM Bank
Assets- Loans: $652.500
Reserve Deposits at Fed: $7.5
Liabilities- Transaction deposits: $725.000

Working notes

New initial required reserves = 0.10 × $750 million = $75 million
Change in bank deposits = (1/(0.10 + (1 0.50))) × ($60 million - $75 million) = $ 25 million
Loans:
$725 million $72.5 million = $652.500million
Transaction deposits:
$750 million + ($15 million × (1/(0.10 + 0.50))) = $725.000 million
Reserve deposits at Fed:
$725 million × 0.10 = $72.5 million

Show the balance sheet of the Federal Reserve and MHM Bank if MHM Bank converts 80 percent of its excess reserves to loans and borrowers return 85 percent of these funds to MHM Bank as transaction deposits. (Enter your answers in millions. Do not round intermediate calculations. Round your "Panel B" answers to 3 decimal places. (e.g., 32.161))

Panel A: Initial Balance Sheets: (IN MILLIONS)
FED
Assets- Securities: $60
Liabilities- Reserve Accounts: $60
MHM Bank
Assets- Loans: $690
Reserve Deposits at Fed: $60
Liabilities- Transaction deposits: $750

Panel B: After All Changes: (IN MILLIONS)
FED
Assets- Securities: $70.2
Liabilities- Reserve Accounts: $70.2
MHM Bank
Assets- Loans: $631.80
Reserve Deposits at Fed: $70.2
Liabilities- Transaction deposits: $702.00

Working notes -:

New initial required reserves = 0.10 × $750 million = $75 million
Change in bank deposits = (1/(0.10 + (1 0.85))) × ($60 million - $75 million) × 0.80 = $48.000 million
Loans:
$702.000 million $70.200 million = $631.80million
Transaction deposits:
$750 million + ($15 million × 0.80 × (1/(0.10 + 0.15))) = $702.00 million
Reserve deposits at Fed:
$702.00 million × 0.10 = $70.2 million