FRANKFURT (dpa-AFX) - Hopes for peace in the Middle East provided a clear tailwind for the Dax on Tuesday. Shortly after the opening bell, Germany's benchmark index broke through the 24,000-point threshold, a level that had capped the previous week's recovery. It was last trading up 1.04 percent at 23,988 points.

The MDax, which tracks Germany's mid-cap companies, gained 1.22 percent to 30,621 points on Tuesday morning. Meanwhile, the Eurozone's blue-chip EuroStoxx 50 index climbed by nearly 0.8 percent.

With the U.S. and Iran considering a further round of talks, there is "a chance for an end to military hostilities," wrote Thomas Altmann, portfolio manager at asset manager QC Partners. A peace agreement would also reopen the Strait of Hormuz, a shipping route of vital importance to the global economy./gl/men