Shop,
We recently completed our state examination and one of the recommendations was that our SAR process be outlined in our BSA policy. I included the individual (BSA Officer) responsible for filing the each SAR, all members of our SAR committee, where the SAR's are filed(FinCEN and State banking department). This also included anyone who would be notified which for us is our Board of Directors. What I am trying to say is, I would put in your policy who will be notified and then follow your policy. I am not sure if this is a requirement or but since our state examiners recommended it, I went ahead and included it in our policy.
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[i] Just keep Livin -Matthew McConaughey[i]