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T .
If active returns are un-correlated  then total tracking risk is nothing but the root mean squared weighted tracking risk of all managers. If any component of the RMS weighted values is reduced , the value itself reduces. If there are correlations present then this is not straightforward.

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True I guess

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Quick calc to prove:
active risk is a standard deviation so:
Mgr 1 Risk = 2%
Mgr 2 Risk = 1.5%
50/50 weight
so
[.5^2*.02^2+.5^2*.015^2]^1/2 = 1.25%
You can take out Manager 1 and risk actually increases becuase active risk is uncorrellated.

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“If we reduce the tracking error of the manager with the highest active risk, this is
very likely to reduce the plan-wide active risk of the overall portfolio.”

Overall active risk would remain same. F

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are there any managers weights in portfolio also given?

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