Mellon Bank Corp. might buy a midsize investment bank to beef up its services to corporate customers, said Martin G. McGuinn, chairman and chief executive officer.

Mr. McGuinn, who became chairman of the $50 billion-asset bank in January when Frank V. Cahouet retired, told Bloomberg Business News in a recent interview that the bank would consider buying an investment bank that focuses on stock underwriting for mid-size corporate clients.

Mellon received regulatory approval to underwrite stocks in January.

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