In my user's profile, it says that I have three active bounties. (Here is a snapshot from Wayback Machine).
However, for two of those bounties, the grace period is over - so I wouldn't expect them to be among active bounties. (I haven't awarded bounty to any answer. One of those post has no answers. In the other case, there is an answer which was posted before I started the bounty - but I have decided not to award the bounty to that answer.) The following screenshot shows what I see on one of them (and I'll include also a snapshot from Wayback Machine):
Question: When are the bounties no longer shown among active bounties in the users' profile? Is it until they are either awarded or until the grace period ends? Is the delay in this case just caching and the bounties will be eventually removed from the active list?
EDIT: Coincidentally, almost immediately after I have posted this question, the number of active bounties changed from three to just one. (You can see the status at the time of posting in the Wayback Machine snapshots posted above.)
So caching seems like a natural guess. I'd guess that this question can now be safely deleted - but I'll wait a bit anyway, to see whether somebody has some additional comments on this, or whether something useful can be added.