Mastercard Zero Liability rules are in no way connected to Regulation E. You have a contractual obligation as a MasterCard issuer to provide the protections that Mastercard extends to its cardholders. Mastercard Small Business Debit cards include Zero Liability protections. If you have a BIN License for a Small Business Debit card, then you are required by your contract with Mastercard to disclose this in your account terms and protect your business cardholders.
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