A commercial bank’s T-account in 2018 is shown as below
Assets
Loans: $800
Securities: $100
Reserves: $60
Liabilities plus equity
Deposits: $900
Borrowing: $0
Equity: ?
The bank pays 10% for the bank deposit to the depositors; the average interest rate on the loans is 15%; the returns to its securities is 10%; and the interest rate earned from the reserves is 4% .
1. Calculate the value of equity, the value of capital ratio and the leverage ratio?
2. What is the return on equity?
3. If $ 100 of the loans is defaulted, what does the new T-Account look like? What is the new equity value? Will the bank become insolvent?
4. If a customer want to withdraw $200 dollar, the commercial bank first use its liquid assets (e.g., securities and reserves) to pay the customer. However, the liquid assets ($160) is not enough to pay all the $200 withdraws. As a result, the commercial bank has to sell the loans that it holds. Since loans are not liquid, the commercial bank can only sell it at 50% discount. For this scenario, what does the new T-Account look like after paying the deposit withdraws? Will the bank become insolvent?
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A commercial bank’s T-account in 2018 is shown as below Assets Loans: $800 Securities: $100 Reserves:...
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