The on-line broker Ameritrade Inc. is offering to send personalized market information to customers' mobile phones, pagers, and e-mail accounts at no charge.

Thomas K. Lewis, co-chief executive officer of Ameritrade Holding Corp., said the service gives customers insight, advice, and portfolio tracking aids traditionally provided by full-service brokers. The offering, Ameritrade Reports and Alerts Service, uses software from MicroStrategy Inc. of Vienna, Va.

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