EMERGING MARKETS-Mexico peso falls while Latam stocks rise after Fed

MEXICO CITY, Feb 10 (Reuters) - The Mexican peso hit a record low on a slump in oil prices on Wednesday while Latin American stock markets rose after the Federal Reserve chief said the United States would stick to its plan of "gradual" interest rate hikes. The comments from Fed Chair Janet Yellen eased concerns about the U.S. economy, the world's largest, rallying stock markets from Chile to Mexico, for which the United States is the biggest export market. Chile's stock market climbed 0