TSMC is trading 5.3% higher at $53.40, amid a broader semiconductor and AI-stock rally. - On October 5, Taiwan’s Taiex rose 2.55% to a record; AI-share buying followed a U.S. tech rally and easing rate-hike concerns after weak jobs data. - TSMC rose 3.00% in Taiwan trading, alongside gains in other chipmakers. - Taiwan’s new Phoenix representative office is linked to the region’s TSMC-led investment and supply chain; reporting does not identify it as the direct cause.