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FRM Part II · FRM Exam Part II · Factors

A long-only smart beta fund tracks a benchmark and holds a value-tilted portfolio. Its active weights relative to the benchmark are: Stock X +3%, Stock Y +2%, Stock Z -5%. Portfolio active share is defined as half the sum of absolute active weights across all holdings. If these are the only non-zero active weights, what is the active share?

Active share is 5%. The absolute active weights sum to 3% plus 2% plus 5%, or 10%, and active share is half of that sum. Reporting 10% would forget to halve the total, which double counts overweights and underweights.

  1. A10%
  2. B5%Correct
  3. C3.3%
  4. D2%

Explanation

Sum of absolute active weights = 3 + 2 + 5 = 10%. Half of this is 5%. The 10% distractor omits the one-half factor; 3.3% averages the three weights; 2% is just one weight.

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