Fidelity Investments on Tuesday undercut its brokerage rivals, reducing its online stock trading commission to a flat fee of $7.95, four weeks after Charles Schwab Corp. cut its price to $8.95.

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Fidelity's flat fee replaces a tiered structure that had charged customers as much as $19.95 per trade to as little as $8 depending on asset levels and how many online trades a customer made. In ...