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You can set constraints at more than one level of the structure. For example, you can constrain a segment to a particular weight and a security within a different segment to a particular weight. The software does not support constraining a segment and a security within that segment.
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Calculate Weights and ReturnsThe methodology for calculating constrained benchmarks follows:
- 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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Constrained Benchmark ExampleFor the purposes of example, assume the source index (vendor-supplied index) and constraints listed in the following table.
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