A trader from Rockville Centre has been charged in a scheme that involved the unauthorized purchase of about $1 billion of Apple stock that wound up costing his Connecticut-based employer $5 million, federal prosecutors said Tuesday.

David Miller, while employed as an institutional sales trader for Rochdale Securities Llc in Stamford, executed a trade to buy 1.6 million shares of Apple Inc. stock in October on a day the company was scheduled to announce earnings, prosecutors said. The scheme was designed so Miller would profit if the stock price rose, but it declined, they said.

A Rochdale customer stated it had ordered only 1,625 shares of Apple, the Cupertino, Calif.-based maker of iPhones, iPods and iPads. Miller falsely claimed that he had made a mistake in ordering many multiples of what was written in a client's order, authorities said.

In telling Rochdale that he was simply executing a customer order, Miller misrepresented that the customer was at risk of loss if the trade proved unprofitable when he knew that it was Rochdale that would bear the risk of loss, prosecutors said.

As a result of the scheme, Rochdale was left holding more than 1.6 million shares of Apple stock, authorities said. It promptly traded out of the position but suffered losses of about $5 million.

Miller was charged with wire fraud. His attorney, Kenneth C. Murphy, declined to comment Tuesday other than to confirm that Miller lives in Rockville Centre.

Authorities say Miller duped another broker-dealer into taking on a significant short position in Apple stock.

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Miller, 40, appeared Tuesday in U.S. District Court in Bridgeport, Conn. He didn't enter a plea and was released on a $300,000 bond. He could face up to 20 years in prison if convicted. With Lisa Du