There is no problem in the person opening the account taking the form and bringing it back. The issue is whether your bank opens the account before you get the information. I simply would not.
Banks are required to obtain the information "at the time of account opening." It would have been helpful, even logical, if the timing requirement had mirrored one of those found in the CIP regulation:
* prior to opening the account or
* within a reasonable time after opening the account.
Since it does not, banks need to set their own timing requirement. Anyone who has ever opened new accounts knows that the only time the bank has any real power to elicit information is prior to account opening. Otherwise, you may be "following up" with the customer for an extended period, trying to extract something you should have required up front.
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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.