The New York Fed provides safekeeping and payment services to foreign central banks so they can store international reserves securely, and to facilitate cross-border payments and other dollar-based transactions. International reserves often take the form of short-term Treasury bonds or gold. The New York Fed has been storing gold for foreign governments for nearly a century.

Though Mr. Ahmady has left the country, he said he believed that most members of the central bank’s staff were still in Afghanistan.

If the Taliban can’t gain access to the central bank’s reserves, it will probably have to further limit access to dollars, Mr. Ahmady said. This would help start a cycle in which the national currency will depreciate and inflation will rise rapidly and worsen poverty.

“They’re going to have to significantly reduce the amount that people can take out,” Mr. Ahmady said. “That’s going to hurt people’s living standards.”

The more than $400 million from the International Monetary Fund, which the Biden administration has sought to keep out of the Taliban’s hands, is Afghanistan’s share of a $650 billion allocation of currency reserves known as special drawing rights. It was approved this month as part of an effort to help developing countries cope with the coronavirus pandemic.

But the toppling of Afghanistan’s government and a lack of clarity about whether the Taliban will be recognized internationally put the I.M.F. in a difficult position.

“There is currently a lack of clarity within the international community regarding recognition of a government in Afghanistan, as a consequence of which the country cannot access S.D.R.s or other I.M.F. resources,” the organization said in a statement Wednesday. It added that its decisions were guided by the views of the international community.

Jake Sullivan, the White House’s national security adviser, said Tuesday that it was too soon to address whether the United States would recognize the Taliban as the legitimate power in Afghanistan.

“Ultimately, it’s going to be up to the Taliban to show the rest of the world who they are and how they intend to proceed,” Mr. Sullivan said. “The track record has not been good, but it’s premature to address that question at this point.”

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