> So, best case scenario I get market returns?
Yes. Note: This is a surprisingly accurate description of reality. Aggregate hedge fund returns are goddamn terrible.
> Then why not just invest in an index fund?
Well, you should, if you're trying to maximise your expected outcome. Of course, not everyone is trying to do that.
In particular, what if you run a pension fund which is currently underfunded, but for political reasons is claiming to be adequately funded through the expedient of assuming that future returns will exceed any reasonable expectation of market returns?
If you invest in an index fund you'll get market returns; since that's not enough this means you will miss your targets, and be unable to pay promised pensions, at which point you'll be fired. But if you give all the funds cash to a hedge fund, or engage in some crazy snowball derivative[1], then you'll probably do even worse than an index fund, be able to pay an even lower percentage of the promised pensions, and you'll be fired. Which is actually no worse for you. But you MIGHT do really well, and actually be able to pay the promised pensions. Not likely, but if it works you avoid you getting fired, and if it doesn't you were going to be fired anyhow, so why not give it a shot?
All of why is completely hypothetical. The fact that many US pensions funds are horribly underfunded using any plausible actuarial projects and are simultaneously investing heavily in exotic asset classes is just a funny coincidence.
[1]: http://www.bloombergview.com/articles/2014-05-02/portuguese-...