Nasdaq Inc. on Friday announced the most ambitious plan yet by a major U.S. exchange operator to allow stocks to be traded around the clock.

President Tal Cohen is proposing a 24-hour, five-days-a-week schedule, which would represent a seismic shift for the platform. Trading could soon be very different on the Nasdaq stock market if the stock exchange gets its way.

More financial services companies are offering investors 24-hour trading. Now Nasdaq, best known for its tech-heavy stock exchange, would like to join the all-night party. The New York-based company will seek regulatory approval to enable 24-hour trading five days a week on the Nasdaq Stock Market,