Robert Plummer is a news correspondent for the British Broadcasting Corporation.
Martin Guzmn resigned as Argentina's economy minister.
The restructuring of Argentina's debt was the subject of negotiations with the International Monetary Fund.
He wanted a political agreement to choose his successor.
Argentina is struggling with high inflation and a weak currency.
The Argentine peso fell against the dollar after Mr Guzmn resigned.
The future of Argentina's economic policy is in question after his departure.
Mr Guzmn mentioned internal divisions in his letter to the president.
The president and his deputy are at odds over how to deal with the country's economic issues.
Mr Guzmn resigned while Ms Fernndez was giving a speech lambasting her own government's economic policies.
The government's failure to ease the financial burden on ordinary Argentines is something that Ms. Fernandez is critical of.
She and her supporters believed that Mr Guzmn was excessive in his efforts to reduce the budget deficit.
The next finance minister will increase the level of state intervention in the economy if Ms Fernandez succeeds.
Some financial analysts have already criticized the Fund for not setting tough enough conditions in its latest debt deal with Argentina.