Stocks of brokerages, both full-service and on-line, suffered badly Tuesday.

Some of the biggest stars lost more than 10% of their value during the day. Charles Schwab & Co., fell 11.1%, to $37.75; DLJdirect, a tracking stock of Donaldson, Lufkin & Jenrette Inc. 11.9%, to $18.625; E-Trade Group Inc. 14.9%, to $24.6875; and Ameritrade Holding Corp. 11.5%, to $21.25.

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