medium · FRM Part 2 Risk & Investment Management

An institutional allocator is comparing two active managers using the Fundamental Law of Active Management. Manager A has an Information Coefficient (IC) of 0.05 and makes 100 independent bets per year. Manager B has an IC of 0.12 but makes only 16 independent bets per year.

Assuming both have a Transfer Coefficient (TC) of 1.0, which manager provides a higher Information Ratio (IR)?

  1. Manager A, because the higher breadth more than compensates for the lower skill per bet.
  2. Manager A is preferred only if the investor's whole wealth is in this manager, as Manager B has a better Treynor ratio.
  3. Both managers are equivalent because the product of IC and breadth is similar.
  4. Manager B, because skill (IC) is the dominant factor in the IR calculation.

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