Everything is relative...the size of your institution, number of employees, but particularly the type of activity. Given the actual purpose of the report, a box by box review of every CTR is a serious misallocation of resources. I would do it only when a regulator cited deficiencies in internal controls in the written report of examination, not a moment before and the agreement would only cover a period long enough to prove the deficiencies had been corrected. As for reviewing a percentage of CTRs on a regular basis, the smaller the number of CTRs filed, the greater the percentage should be sampled.
In terms of relative importance, new account documentation is at the opposite end of the spectrum. It's the foundation for a legal relationship that may last for decades and the source for due diligence information... Many small institutions require all account opening documentation to carry two sets of initials; e.g. sometimes the second review is in the back room within 24 hours. In others, CSR's at adjacent desks just swap packages of documentation throughout the day and review their work before it even gets to the backroom.
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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.