Frankfurt’s DAX 40 rose 0.9% to around 25,200 on Tuesday, rebounding from a weak start to the month as optimism around artificial intelligence outweighed lingering uncertainty over a Middle East peace agreement. US President Donald Trump said he expected a deal with Iran on extending a ceasefire and reopening the Strait of Hormuz could be reached next week, just hours after reports that negotiations had been suspended. Lebanon also announced a partial ceasefire between Hezbollah and Israel, potentially paving the way for renewed diplomatic efforts to end the conflict. At the same time, investors were awaiting eurozone inflation data, which could bolster expectations of further policy tightening by the ECB. Among the key movers, Infineon Technologies jumped 5.7%, while SAP added 1.7%.