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Lagarde said that the IMF could only give loans to governments that had explicitly asked for them, while adding that financial help had thus far been extended only to Portugal, Ireland and Greece.
"At this point in time the IMF has not received any request for assistance from, nor are we negotiating with, either Italy or Spain," said Lagarde, as quoted by Reuters, after a meeting with Peruvian President Ollanta Humala.
An IMF inspection team is expected in Rome over the coming days, as part of a special surveillance mechanism that had been agreed upon during the G-20 summit earlier this month. Earlier this week, Italian newspaper La Stampa claimed that the IMF were set to provide Italy with up to 600 billion euros ($794 billion) of financial aid at a rate of between 4-5 percent, giving Italy 18 months to sort its finances out.
Analysts say that the IMF may be looking to emerging markets to help increase the size of its credit lines as the debt crisis in Europe continues to grow. After her trip to Peru, Lagarde will be visiting other Latin American economies, such as Brazil and Mexico, this week to drum up support for more global cooperation.
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Global markets rallied on Monday after rumours had emerged of a supposed IMF intervention in Italy. Japan's Nikkei Stock Average was 1.8 percent higher, with Australia's S&P/ASX 200 rising by 1.9, while Dow Jones Industrial Average futures were up 157 points in screen trade.
Analysts though have been doubtful over whether an IMF bailout of Italy would have end the euro-zone's debt problems.