Christine Lagarde’s nomination to run the European Central Bank has prompted speculation over who could replace her as managing director of the International Monetary Fund.

The former French finance minister is set to become president of the ECB from 1 November, should she win approval from Brussels. Her move will spark a round of international horse-trading over who should lead the global lender of last resort.

Here are some names in the frame:

George Osborne

Editor, Evening Standard

Suggested his candidacy to friends. The former UK chancellor is regarded as the architect of austerity in Britain, once favoured by the IMF but now out of fashion. Brexit could damage the chance of a Briton winning support from other nations. However, Osborne has close ties with China and the US and was a backer of Lagarde.

Mark Carney

Governor, Bank of England

Canadian by birth, the Bank’s governor also has UK and Irish citizenship. Due to exit Threadneedle Street at the end of January, he has experience in international circles, having led the G20 Financial Stability Board. Highly regarded, he has moved to fight the climate crisis and his speeches chime well with the IMF’s outlook.

Mario Draghi

President, European Central Bank

The Italian economist could complete a job swap with Christine Lagarde when he leaves at the end of October. He was influential in preventing the breakup of the Eurozone. Aged 71, the IMF would need to change a rule that managing directors must be no older than 65.

Raghuram Rajan

Professor, Chicago Booth University

The former Indian central bank governor was previously chief economist at the IMF. Appointing him would prove symbolic: dismantling the tradition of a European leading the fund and recognising the rise of Asian economies. Rajan is also seen as a potential successor to Mark Carney at the Bank of England.

Agustín Carstens

General manager, Bank of International Settlements

The Mexican economist is well regarded in international circles for his work at BIS, the central bankers’ bank. The unwritten code that a European leads the IMF could stand in his way. The former finance minister and head of the Mexican central bank has ruled himself out to succeed Carney.

Kristalina Georgieva

Chief executive, World Bank

The Bulgarian economist was previously vice-president of the EU commission and currently runs the IMF’s twin institution, the World Bank, under its American president – David Malpass. A close connection to EU politics would help her candidacy. Richard Partington