Liberty Media may buy all DirecTV Group Inc. and spin off the satellite television provider into a tracking stock but also is considering liquidating its position in the company, Liberty’s chief executive said Thursday.

Chief Executive Greg Maffei said that Liberty, which will soon control 40 percent of the El Segundo-based company, thinks that spinning off DirecTV’s assets into a tracking stock would benefit investors, according to an interview given at the Media and Tech Moguls Conference in Sun Valley, Idaho.

DirecTV “is a good business and having access to those cash flows, being able to have it operate synergistically with our content businesses can be attractive under the right conditions,” Maffei said.

Liberty, controlled by cable mogul John Malone, is set to take a majority stake in DirecTV through an $11 billion asset swap with News Corp.’s Rupert Murdoch late last year. Since the swap was announced many industry analysts have speculated that Liberty may buy the rest of the company.

Liberty’s acquisition of the controlling stake in DirecTV is expected to close in the second half of this year. However, Maffei added that Liberty has not made a decision on what it plans to do and even suggested that it could “liquidate its position” in DirecTV.

Shares in DirecTV were flat at $24.90 in afternoon trading on the New York Stock Exchange.