I predict that when the final satoshi of bitcoin is mined, and known and verified, bitcoin will do one of two things...
It will quickly drop to near zero because everyone knows there will be no more of it and so they want out of it, or it will shoot to the moon at light speed because it has become an extinct entity.
Just a guess. I will not be alive to see this, because it will not happen until what is it? Year 2170? Alas, that is my prediction.