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FRM Part II · FRM Exam Part II · Capital Structure in Banks

A bank has equity of $8 billion and total assets of $100 billion. Its assets suffer an unexpected loss of 5% of their value with no change in liabilities. What is the bank's equity-to-assets ratio after the loss, and what does it illustrate?

Equity falls from $8 billion to $3 billion after the $5 billion loss, so the ratio is about 3% of the remaining $95 billion of assets. This shows leverage magnifies asset losses relative to equity, since a 5% asset decline wipes out over 60% of equity.

  1. A3.0%; leverage magnifies asset losses relative to equityCorrect
  2. B8.0%; equity ratio is unchanged because liabilities are fixed
  3. C3.0%; losses are absorbed by depositors first
  4. D5.0%; equity falls by the same percentage as assets

Explanation

Loss = 5% x 100 = $5 billion. Equity falls to $3 billion and assets to $95 billion, so ratio = 3/95 = 3.16%, about 3.2%, closest to 3.0%. Equity fell 62.5% while assets fell 5%, showing leverage magnification. Depositors bear losses only after equity is exhausted.

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