This customer has made their account number and wire instructions available on their website to assist their clients, which is likely contributing to the problem.
Time to tell them to take the website down if they want to continue banking with you (assuming the relationship is worth keeping considering the amount this will cost you in monitoring and SAR filing time).
In a situation like this would you file a SAR?
This is not optional. If you cannot identify a subject and the amount exceeds $25,000 a SAR is mandatory.
But my concern is that we will likely be filing a SAR every 90 days forever on this account
See note above. This is not optional, and yes you might be thanks to your customer.
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