Screenshot/Bloomberg
The bank has struggled to meet regulatory standards in recent years, having had issues with three of the past five Federal Reserve stress tests.
But the executive's ouster still came as a surprise, and analysts are trying to pin down what happened.
"It looks to me like the CFO got fired," said CLSA Americas analyst Mike Mayo in an interview with Bloomberg TV's Tom Keene.
"At the same time, the CEO is the same, there's no change at the board."
He said CEO Brian Moynihan should be held accountable for some of the bank's troubles, but that Thompson's ouster yesterday sent a different message:
"It's good to be the boss."
He also likened Bank of America's press release, here, to something written by "somebody at the Kremlin."
Mayo noted that last year, the bank had a $4 billion regulatory capital misstatement, but that this year's proxy statement made no mention of it.
For that, he said, the board should also be held accountable.
Watch it here: