Germany has earned some 2.9 billion euros ($3.5 billion) since 2010 on Greek debt bought to help the struggling country, a government report seen by AFP showed Thursday.
The IMF also welcomed the debt agreement, saying it makes Greece's debt sustainable in the medium term and facilitates Greece's access to the markets.
Greece's euro-area creditors struck a landmark deal to ease repayment terms on some of the nation's mountain of debt and clear the way for the country to exit the lifeline that's kept it afloat since 2010.
The ministers were under pressure to finalize a deal that would allow Greece to safely emerge from the bailout program on August 20 and face the markets again.
"A new chapter is opening for the country, but that does not mean that we should abandon the prudent path of fiscal balance and structural reforms our country needs", Tsipras said in statements broadcast live on Greek public broadcaster ERT.
Eurozone President and Portuguese Finance Minister Mario Centeno said at a press conference shortly after the meeting "after eight long years Greece will finally be graduating from its financial assistance".
"The Greek government is happy with the agreement", Greek Finance Minister Euclid Tsakalotos said after the talks.
An additional 10-year grace period - where the loans' interest will not rise - will be granted as well.
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To provide an incentive for future governments in Athens not to reverse the hard won reforms implemented under the bailouts, euro zone ministers agreed to offer Greece cash payments of 600 million euros every six months until 2022 if the country sticks to the economic course agreed with creditors.
Once the bailout is over, Greece will have to finance itself by borrowing on global bond markets.
The eurozone ministers' agreement comes almost a decade after Athens stunned the world with out-of-control spending, sparking three bailouts and a near collapse of the euro single currency.
European Economic and Financial Affairs Commissioner Pierre Moscovici spoke of a "historical moment for Greece" and said a new chapter was beginning for the country.
Officials at the Frankfurt institution bought Greek debt under a scheme known as the Securities Markets Programme, created by the European Central Bank (ECB) to calm financial markets in troubled eurozone economies.
However, Tzanakopoulos said there was no truth in speculation that this deal was tied in any way to Greek debt relief.
The International Monetary Fund, led by the tough-talking Christine Lagarde, welcomed the debt relief, but cited reservations about 's obligations over the long term.