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FRM Part II · FRM Exam Part II · Integrated Risk Management

A bank has two business units with standalone economic capital of USD 80 million (Unit A) and USD 60 million (Unit B). The firm-wide economic capital, reflecting diversification, is USD 112 million. Using a pro rata allocation of the diversified capital in proportion to standalone capital, how much is allocated to Unit A?

Unit A receives USD 64 million. Its standalone capital is 80 of the 140 total, or 4/7, and applying that proportion to the diversified firm-wide capital of USD 112 million gives 64. This spreads the diversification benefit proportionally across units.

  1. AUSD 64 millionCorrect
  2. BUSD 80 million
  3. CUSD 56 million
  4. DUSD 72 million

Explanation

Total standalone is 140 million. Unit A's share is 80/140 = 4/7, and 4/7 × 112 = 64 million. Allocating the full standalone 80 ignores diversification benefit, while 56 would be an equal split.

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