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FRM Part II · FRM Exam Part II · Portfolio Construction

A portfolio manager reports an annualized alpha of 2.0% against the benchmark and an annualized tracking error (residual risk) of 4.0%. Assuming alpha is measured relative to the benchmark, what is the information ratio?

The information ratio is active return divided by active risk. With alpha of 2.0% and tracking error of 4.0%, the ratio is 0.50. Inverting the fraction or multiplying the numbers would give wrong values, because the measure expresses excess return earned per unit of active risk.

  1. A0.08
  2. B0.50Correct
  3. C2.00
  4. D2.50

Explanation

The information ratio equals alpha divided by active (residual) risk: 2.0% / 4.0% = 0.50. Option 2.00 inverts the ratio. Option 0.08 multiplies the two figures (2 x 4 = 8, read as 0.08) instead of dividing them.

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