hard · FRM Part 1

A firm aggregates two business units with standalone economic capital of $400 million and $600 million.

If the units are perfectly negatively correlated (ρ = -1), what is the aggregate capital, and is this state achievable between two distinct credit and market risk types?

  1. 200 million; No, perfect negative correlation is generally not possible between genuine risk types.
  2. 0 million; Yes, through synthetic hedging structures.
  3. 1,000 million; No, the benefit would be additive.
  4. 200 million; Yes, this is the standard assumption for Enterprise Risk Management.

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