* China, Japan share markets reverse early losses * Bitcoin recoups losses after falling 14% on Sunday * Currencies tread water, U.S. dollar near 4-week lows SYDNEY, April 19 (Reuters) - Asian shares hit a one-month high on Monday helped by expectations monetary policy will remain accommodative the world over, while COVID-19 vaccine rollouts help ease fears of another dangerous wave of coronavirus infections. Indicators were positive for Europe as well with futures for Eurostoxx 50 up 0.2% and Germany’s DAX adding 0.1% though those for London’s FTSE were barely changed. MSCI’s broadest index of Asia-Pacific shares outside Japan went as high as 699.70, a level not seen since March 18. It was last up 0.1% at 696.46.