The Nikkei stock index closed at an all-time high on Tuesday on optimism for fresh economic steps as ruling Liberal Democratic Party head Sanae Takaichi became Japan's new prime minister, but its upside was capped by profit-taking.The 225-issue Nikkei Stock Average ended up 130.56 points, or 0.27 percent, from Monday at 49,316.06 after hitting an intraday record high near 50,000. The broader Topix index finished 1.05 points, or 0.03 percent, higher at 3,249.50.The U.S. dollar climbed to the mid-151 yen range in Tokyo after Takaichi, known as a fiscal dove and proponent of easy monetary poli…READ FULL ARTICLE