A commercial bank holds $200 million in total assets and has a leverage ratio of 20-to-1. If a sudden economic downturn causes the value of its assets to fall by 4%, what is the resulting impact on the bank's financial position?

Bank Solvency Analysis

Bank Insolvency Threshold

A bank has total assets of $500 billion and total liabilities of $475 billion. A 6% decline in the value of its assets would not be enough to make the bank insolvent.

Three commercial banks have the following balance sheets:

• Bank Alpha: Total Assets = $100 million; Total Liabilities = $90 million
• Bank Beta: Total Assets = $200 million; Total Liabilities = $195 million
• Bank Gamma: Total Assets = $50 million; Total Liabilities = $40 million

If all three banks experience a sudden 4% decline in the value of their total assets, which of the banks will become insolvent (i.e., have a net worth of zero or less)?

Leverage and Bank Stability

A financial institution has total assets of $1 billion and a net worth of $40 million. To become insolvent, the value of its assets would only need to decrease by ____%.

Four banks have different financial structures. Match each bank with the minimum percentage decrease in its asset value that would cause it to become insolvent (i.e., have a net worth of zero or less).

A highly leveraged financial institution is vulnerable to small shocks in the value of its holdings. Arrange the following events in the correct chronological sequence to illustrate the process by which a drop in asset value leads to the institution's insolvency.

Comparative Risk Analysis of Bank Leverage