medium · Frm Part 2 Risk & Investment Management

According to the 'Fundamental Law of Active Management,' if a manager doubles the 'Breadth' (BR) of independent bets but her 'Information Coefficient' (IC) is halved, what happens to the Information Ratio (IR)?

  1. The IR doubles because breadth is now the dominant factor in the equation.
  2. The IR remains unchanged as the two effects cancel each other out.
  3. The IR decreases by approximately 29%.
  4. The IR increases by 41% due to the square root benefit of the additional bets.

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