Even though Greece is so close to bankruptcy, its bonds have become one of the hot investments in Europe. Large hedge funds, like Third Point and Brevan Howard, have accumulated significant stakes, starting this summer when the bonds were trading in the low teens. Shorter-term traders have been snapping up bonds at around 29 cents to make a quick profit by participating in the buyback.

In a research note published Monday, analysts at Nomura in London said it was “reasonable and likely” that enough hedge funds — especially those that might be more risk-averse and or have a shorter perspective — would agree to the deal at a price below 35 cents.

But there are also foreign investors looking to the longer term who may decide to hold onto most of their holdings in the hope that the bonds rally even more after a successful buyback.

“I think the bonds could go to as high as 40 cents in a nonexit scenario,” said Gabriel Sterne, an analyst at Exotix in London, referring to the consensus view that Greece will not leave the euro zone anytime soon.

Bondholders were encouraged by comments from Chancellor Angela Merkel of Germany, reported in the German news media over the weekend, that raised the possibility that European governments might offer Greece debt relief in the future. A number of bondholders expect Greek bond yields to trade more in line with those of Portugal in the coming years, but without the prospect of a future buyback to push up the prices of Greek government bonds, the risk to such an approach is substantial.

Jean-Claude Juncker, the president of the group of finance ministers whose countries use the euro, told a news conference late Monday in Brussels that ministers would meet again on the morning of Dec. 13 to make a final decision on aid disbursement to Greece.

Mr. Juncker said he was confident that Greece would receive its money on that date, but he declined to comment on the prospects for success of the buyback program because it was a sensitive matter for the financial markets.