WASHINGTON — More than six months after Fannie Mae and Freddie Mac were seized by the government, the role of chief executive at the government-sponsored enterprises continues to evolve.

James Lockhart, the director of the Federal Housing Finance Agency, is overseeing both companies as their conservator. It remains unclear what authority Fannie and Freddie's CEOs hold, and several sources said this uncertainty caused David Moffett, the leader installed at Freddie after the conservatorship, to resign this month. The search for his successor continues.

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