It's also important that the true ownership of the accounts be reflected on your records for deposit insurance purposes. "Joe's Hamburger Stand" doesn't own the account. Joseph P. Smith, the sole proprietor, is the owner.
But if you can work your system so that the business's trade name (a/k/a fictitious name, a/k/a "DBA" name) prints on statements, go for it.
Where I'd draw the line, however, would be if your depositor becomes a borrower. I'd make certain that everything about loan accounts reflects the legal name of the borrower.
_________________________
John S. Burnett
BankersOnline.com
Fighting for Compliance since 1976
Bankers' Threads User #8