Bank is offering online trading in association with Destimoney securities.

The brokerage firm has offered on-line trading for the last several years.

The term is typically used for currency exchange companies that offer physical delivery rather than speculative trading.

When financial-services firms decide to start offering on-line trading, the Internet is more and more often their choice.

By contrast, the new Rydex funds offer unlimited trading.

Many allow trades as late as 8 p.m. Eastern, and at least one plans to offer 20-hour-a-day trading by the end of the year.

The full-service brokers have mainly tried to offer trading on line while forcing customers to use and pay for a broker.

Merrill has begun offering electronic trading and research services for some products.

The new venture will also offer trading of United States companies, the officials said.

There are several firms that offer no-frills electronic trading.