Hi Aitor,
That's a great question - they are both important!
In terms of prioritizing, the way I'd think about it is that you're trying to maximize your strategy's Sharpe ratio, with the constraint of not exceeding a beta of +/- 0.3 on a rolling 1 year basis.
I'm not sure what techniques you are using, but one common (and I think good) way to manage your strategy's Beta is to take advantage of the fact that shorting a stock gives you negative Beta. A market neutral strategy that holds $100,000 long and $100,000 short should have a Beta of close to zero as long as the stocks held long and short are comparable in their own Beta exposures.
Hope that's helpful advice and please feel free to follow up with more questions!
Good luck in the contest, Jess
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