Bitcoin and major altcoins experienced a rebound on October 13, 2025, as U.S.-China trade tensions showed signs of easing. China's Ministry of Commerce clarified that recent rare-earth export controls are not blanket bans, while U.S. Vice President Vance indicated President Trump's openness to negotiate with China. Bitcoin rose to $114,092.57, marking a 2% increase over the past 24 hours. Meanwhile, ether, solana, and dogecoin saw gains ranging from 5% to 7%. Despite the positive movement, these gains are modest compared to the losses incurred from previous trade war threats by Trump.