The U.S. dollar hovered close to an 11-year high against a basket of currencies while Asian shares firmed in early trade on Tuesday, with sentiment bolstered by another record day on Wall Street. MSCI’s broadest index of Asia-Pacific shares outside Japan was nearly flat, while Japan’s Nikkei stock average (.N225) was up about 0.4 percent after the yen pushed to three-week lows against the greenback.