As suggested, this field has been plowed several times here. From page 79 (document, not pdf) of the Manual.
Banks are required by the SAR regulations of their federal banking agency to notify the board of directors or an appropriate board committee that SARs have been filed. However, the regulations do not mandate a particular notification format and banks should have flexibility in structuring their format. Therefore, banks may, but are not required to, provide actual copies of SARs to the board of directors or a board committee. Alternatively, banks may opt to provide summaries, tables of SARs filed for specific violation types, or other forms of notification. Regardless of the notification format used by the bank, management should provide sufficient information on its SAR filings to the board of directors or an appropriate committee in order to fulfill its fiduciary duties.
Any examiner who wants to dictate how much is reported to the board is simply a non reader. This paragraph should have been called to his or her attention.
The last sentence is crucial in some circumstances. A bank that usually just reports a two sentence summary of each SAR without mentioning the subject's name cannot use that practice as an excuse for failing to give the board information about a situation that involves the board's fiduciary duties to the other shareholders. One example, not the only example, would be a defalcation where the bank incurs as loss. There are questions that board members should ask in these situations...
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.