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"If a book is truly factor neutral, you're basically an index" - this is backwards.

If you are running a book thats neutral to all factors, then the only risk you are taking is idiosyncratic w.r.t the given risk model. IE, just getting exposure to your alpha. Contrast this with an index, which usually just replicates some factor returns.

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Yeah fair point. This is on me, but I took the question too literally. Pods at Citadel probably run high idio (>80%?), for sure factor exposures are roughly neutral. What I meant to say (which got translated poorly) is that Citadel does not run 100% idio and 0% factor (i.e. literally factor neutral) because it’s virtually impossible to do that with even a 100 names.

And I see the error of my ways. The index example was incorrect because that would be 100% beta so idio would be zero.

 

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