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"Rubbish. If I were to go, we'd have to see how markets would react," Tria was quoted as saying.
In the past months recurring concerns that Tria - an academic seen by investors as a bulwark for the country's public finances - could be pushed out by the ruling parties in Rome's populist government have upset markets.
Tria has again come under pressure due to objections his ministry raised over a government decree to reimburse savers who suffered losses in bank rescues.