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- Calculate the Total Constrained Weight = (Sum of all the constrained weights).
Constrained weights = (the newly assigned weight for the segment or security – the vendor-supplied weight for the segment or security).
Sum the constrained weights from Step 1. - Calculate the Sum of the Total Original Source Weight at all constrained levels.
Sum the original source weight before the constraints. - Calculate the New Weights for the constrained securities and segments and the securities and segments below the constrained level using:
Weight Change = (Source weight for segment or security * That Segment or Security's Constrained Weight) / (That Segment or Security's Total Original Source Weight)
New Weight = Weight Change + Original Source Weight - Calculate the New Weights for all remaining (nonconstrained) levels.
Weight Change = –1*((Source weight for segment or security * Total Constrained Weight (Step 1b)) / (1 – (Sum of the Total Original Source Weight at all Constrained Levels (Step 2))
New Weight = Weight Change + Original Source Weight - Copy all the security and segment returns, except those for the constrained level and above, from the source to the target (custom benchmark).
- Calculate the New Returns for the segments above the constrained segment.
Reproportion the New Weights (calculated in Steps 3 and 4) to 100 percent for the target benchmark.
Calculate the New Returns: Sum (Return * New Weight) of all the underlying segments or securities.
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- Calculate Total Constrained Weight = 10% - 17.97% = -7.97%.
- Calculate the Sum of the Total Source Weight at all Constrained Levels = 17.97%.
- Calculate the New Weights for the constrained segments/securities and those below the constraints. For example:
Total Australia Weight Change = (17.97% * -7.97%) / (17.97%)
Total Australia New Weight = -7.97 + 17.97% = 10% - Calculate the New Weights for the remaining (nonconstrained) levels. For example:
Total UK Weight Change =1*((21.65% * -7.97%)/(1 17.97%)) = 2.10%
Total UK New Weight = 2.10% + 21.65% = 23.75% - Copy all security and segment returns, except those for the constrained level and above.
For example: Total UK Return = 3.475919
Returns above the constrained node are recalculated — in the example in the following table, only the Total return is recalculated.
Description | Return | New Weight | Target Return |
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Total | 2.408384642 | ||
Total - Australia | 1.607968 | 10.00% | 0.160796791 |
Total - Canada | 1.167483 | 0.21% | 0.002394788 |
Total - UK | 3.475919 | 23.76% | 0.825831804 |
Total - US | 2.149368 | 66.04% | 1.41936126 |
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