About the buffs - there's "Cumulated Buff"

and there's "Accumulated Buff"

. The two have different purpose.
When apprentices in an academy hunt monsters, they gain "Cumulated Buff". Every once in a while, the apprentice can click the Cumulated Buff icon to transfer 20% of the buff to the Guardian. The rest 80% of the buff stays with the apprentice. Note: this can be done only when the Guardian is online and at least one hour after the apprentice began collecting the Cumulated Buff. Once transferred, it turns into "Accumulated Buff" which gives you a 10% bonus exp for each monster that you kill. Ten buff points are taken out per monster.
Though, probably the best use of joining an academy is that you get 2 mil exp upon graduating, which is exactly 50% of level 40.