Expanding the National Association of Securities Dealers Inc.'s "suitability" rule to cover on-line trading could open a Pandora's box, some bank brokerage chiefs said.

Though the rule revision, which will be addressed at next month's roundtable hosted by state securities regulators, got some support from brokerage executives, most expressed unease because of the potential for liability. Brokerage chiefs also said they had doubts about the practicality of enforcing such a rule.

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