ATHENS, Greece — Greece says it has all but concluded a crucial deal to write off half its privately-held debt.

Finance Minister Evangelos Venizelos told a new conference Tuesday that "We are one step — I would say it is a formality— away from finalizing" the debt relief agreement. It would see private creditors swap their Greek bonds for new ones of a lower value, longer repayment period on lower interest rate.

Venizelos says his Greece is now focusing on completing negotiations by the end of the week on a new program of cutbacks until 2015 — without which Greece's bailout lifeline will be cut.

He hopes finance eurozone ministers can sign off on the new cuts — and a new bailout — during their meeting next Monday in Brussels.