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FRM Part II · FRM Exam Part II · Credit Risk Management

A bank has a USD 5 million committed credit line, of which USD 3 million is drawn. Its internal model assumes a credit conversion factor of 50% on the undrawn part at default. What is the exposure at default?

Exposure at default is the drawn amount plus the credit conversion factor times the undrawn commitment: USD 3 million plus 50% of USD 2 million, giving USD 4 million. Ignoring the undrawn part understates it and assuming full drawdown overstates it.

  1. AUSD 3.0 million
  2. BUSD 4.0 millionCorrect
  3. CUSD 4.5 million
  4. DUSD 5.0 million

Explanation

Undrawn amount = 5 − 3 = USD 2 million. EAD = drawn + CCF × undrawn = 3 + 0.5 × 2 = USD 4 million. USD 3 million ignores undrawn commitments; USD 4.5 million applies 50% to the whole limit; USD 5 million assumes full drawdown.

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