portfolio managment IR and active risk

I have a fund which is invested in an active fund and a benchmark.

Now if I reduce my exposure in the active fund increasing the exposure on the benchmark, then the information ratio of the portfolio will NOT fall, but the active risk will be lower.

Why is the information ratio of the portfolio not going to be lower, if a reduced the exposure in the active fund?

because the expected return will also be lower

oh man, I even don’t understand why I didn’t check it out and why I spent time to ask… maybe I had to much today.

By the way, thank you :slight_smile: