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CMA Final · Strategic Financial Management · Portfolio Performance Evaluation and Portfolio Revision

An equity scheme managed by an Indian AMC earned 15% last year against its benchmark's 12%. The standard deviation of the scheme's active returns (tracking error) over the benchmark was 4%. The risk-free rate was 7%. What is the information ratio of the scheme?

The information ratio is 0.75. It is the active return over the benchmark, 15% minus 12% = 3%, divided by the tracking error of 4%. The risk-free rate is irrelevant here. Using it would produce a Sharpe-style figure of 2.00, which is wrong.

  1. A0.75Correct
  2. B2.00
  3. C3.75
  4. D0.25

Explanation

Information ratio = (Rp - Rbenchmark) / tracking error = (15 - 12) / 4 = 0.75. The value 2.00 comes from deducting the risk-free rate, (15 - 7)/4, which gives a Sharpe-type measure using the wrong reference. The value 3.75 is 15/4, with no deduction at all. The value 0.25 is 3/12, which divides by the wrong base.

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