(Adds details, updates prices throughout) By Susan Mathew and Shreyashi Sanyal June 10 (Reuters) – Emerging market currencies were trading mixed for the day on Thursday, with Mexico’s peso recovering from a fall after a central bank leadership change and the Peruvian sol falling as socialist Pedro Castillo maintained a slim lead over rival Keiko Fujimori. Markets also shrugged off U.S. inflation for May, which rose more than expected, but not enough to for the Federal Reserve to change its loose monetary policy, analysts said. The European Central Bank kept stimulus taps wide open at its meeting. “It is eye-popping but it’s important to consider where we are versus a year ago,” said Scott Brown, chief economist at Raymond James in Florida. “I don’t think there is any reason for the Fed to panic.” MSCI’s index of EM currencies was flat with Brazil’s real reversing early gains as attention turned to next week’s central bank meeting….