medium · Frm Part 2 Risk & Investment Management

A bank is evaluating two managers for a mandate. Manager X has a Sharpe ratio of 0.45 and a Treynor ratio of 6.0. Manager Y has a Sharpe ratio of 0.40 and a Treynor ratio of 8.0.

If the manager will be one of many in a well-diversified portfolio, which should be preferred and why?

  1. Manager X; it has lower idiosyncratic risk.
  2. Manager X; the Sharpe ratio is higher, indicating better overall efficiency.
  3. Manager Y; the Treynor ratio is superior for assets in a diversified program.
  4. Neither; their Information Ratios must be compared first.

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