Each investor will be charged retroactively on the date they are admitted into the fund, as if they were part of the first close.
If the first close is $2.5MM with a management fee of 2%, the fees will start at $50k per year or $12.5k quarterly.
If a second close takes place 3 months into the life of the fund, bringing the new fund size to $5MM, the LPs that are part of this second close would be charged a catch up fee for the first 3 months of the fund, on the day they are admitted. This would bring the management fees to $100k per year or $25k quarterly.
In the end, each investor will have a 2% management fee charged to their Capital Account balance in the first year of the funds life.