Personal opinion, strongly held: if a bank makes SAR filing decisions once a month it's a clear indication of indifference. The question I usually ask is "How often does your loan committee meet?" I would use that answer in comparison to the SAR committee meeting frequency as a gauge of their relative importance.
There are lots of variables here, case volume and committee structure among them, but I suggest you start with a discussion of "weekly, as necessary;" i.e. if there is nothing to talk about this week, we do not meet, but we meet in any week where there is something to talk about.
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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.