In the topic of portfolio management, when we talk about aggressiveness of active weights, are we trying to say that if a stock is going to do really well, we are going to overweight it much more than what we wanted and the same goes for stocks that will go down, do we mean that we will underweight them by a lot?
Exactly.
The opposite of that would be passive, to nearly match the benchmark.
so why do we say that the information ratio is not affected by this aggressiveness if all we can do to increase this ratio is by taking more aggressive positions?
If you increase all of the positions by the same percentage, you have more active risk and more active return, but the ratio is the same; everything increases proportionally.