The European arm of the credit card specialist MBNA Corp. said Monday that it has agreed to buy Abbey National’s credit card business for $413 million, which includes a $64 million premium.

The deal also features what is reported to be a five-year agreement for MBNA Europe Bank Ltd. to be an agent bank for Abbey National, meaning it will run the British bank’s cards program and issue cards under the Abbey National brand and Abbey will receive commissions from card sales and a share of profits. MBNA and other large U.S. credit card companies have many similar agent deals in the United States, but this is the first of its kind in the United Kingdom.

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