Is it possible for the server to update bandwidths during a live stream?

I have a use case where the BANDWIDTH (bitrate) of each variant stream can change slightly at discrete moments throughout a live broadcast. For example, the segments from media sequence 0 - 20 have a BANDWIDTH of 5608000, but from 21-40 have a BANDWIDTH of 5905000. Is there a way to indicate this change in BANDWIDTH in the variant playlist? Should the master playlist also be updated when this change occurs?