BlackRock Inc. chairman Laurence D. Fink, who made his reputation as a bond trader, now has his eyes on the stock market -- in more ways than one.

Mr. Fink wants the PNC Bank Corp. subsidiary -- which manages $148 billion, mostly in fixed-income assets for pension plans -- to loom larger in equity management. For the past month, however, his focus has been on another aspect of equities: BlackRock's debut as a publicly traded company.

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