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1.4.2 Converting weights to number of constituents

Having assigned the weights for countries, we need a method to translate the fractional country and activity weights into the number of companies. It is performed in the following manner:

  1. Country weights are multiplied by the size of the index (i.e., 2000 for the private2000), and the resultant numbers are rounded down to their closest whole integers.

  2. Assign the number of companies to each country according to the number obtained in the first step.

  3. Rank the difference between the country weight times 2000 and the rounded-down number.

  4. Assign companies successively, starting from the largest difference and proceeding iteratively till 2000 total companies is reached.

  5. For PECCS™ activity weights, starting with the country-activity weights, repeat the same procedure as indicated in Steps 1 to 4 for each country, but instead of starting with 2000 begin with the number of companies assigned in steps 1-4.

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