President Trump's public statements and social media maps asserting interest in territories such as Greenland, Canada, and the Strait of Hormuz have generated diplomatic friction with allies like Denmark and Mexico but produced no formal annexation agreements, congressional actions, or recognized changes in sovereignty through September 2026. International law prohibiting forcible acquisition, NATO alliance constraints, domestic polling opposition to military options, and the absence of negotiated purchases or referendums have kept outcomes aligned with historical U.S. territorial patterns. Traders price the low probability of any completed annexation this year on these structural and procedural barriers rather than rhetoric alone.