(Recasts throughout with closing prices; adds dateline, byline) By Bruno Federowski and Miguel Angel Gutierrez SAO PAULO/MEXICO CITY, Dec 22 (Reuters) - Brazil's currency strengthened on Thursday, touching its strongest level against the dollar in over a month, while the Mexican peso hit its weakest level in three weeks. The Brazilian real closed up 1 percent, and the Mexican peso ended down just over 1 percent. The peso slid after data showed the U.S. economy grew faster than was initially reported in the third quarter, and after Mexico's national statistics institute said that inflation in the country quickened faster than expected in the first half of December. Brazil's central bank signaled it would likely accelerate the pace of rate cuts next month, which is widely expected. In its quarterly inflation report released on Thursday, the central bank cut its 2017 economic growth estimate and forecast inflation will remain low in the coming two years. "A more worried, but still cautious, inflation report reinforces the view for a 50 (basis point) cut in January," JPMorgan economists wrote in a report. They also noted, however, that the report was produced before the release of surprisingly weak inflation figures on Wednesday. "The central bank will leave the doors open to accelerate even more the pace of easing after January's meeting, especially if forecasts for inflation continue falling and/or activity disappoints further," JPMorgan economists added. Brazil's benchmark Bovespa stock index fell 0.68 percent, weighed down by falling shares of miner Vale SA . Latin American markets broadly saw thin trading volumes due to the year-end holiday season. Key Latin American stock indexes and currencies at 2225 GMT: Stock indexes Latest Daily YTD pct pct change change MSCI Emerging Markets 842.51 -1.02 6.09 MSCI LatAm 2,230.61 -0.73 21.9 Brazil Bovespa 57,255.22 -0.68 32.08 Mexico IPC 45,008.08 0.06 4.72 Chile IPSA 4,117.67 -0.83 11.89 Chile IGPA 20,632.75 -0.74 13.67 Argentina MerVal 16,378.45 -1.25 40.28 Colombia IGBC 10,021.54 -0.19 17.25 Venezuela IBC 28,243.40 -0.48 93.60 Currencies Latest Daily YTD pct pct change change Brazil real 3.2976 1.00 19.69 Mexico peso 20.77 -1.02 -17.04 Chile peso 675.05 -0.42 5.13 Colombia peso 2,996 -0.03 5.78 Peru sol 3.39 0.02 0.62 Argentina peso (interbank) 15.7100 0.51 -17.36 Argentina peso (parallel) 16.59 -0.06 -13.98 (Reporting by Bruno Federowski in Sao Paulo and Miguel Angel Gutierrez in Mexico City; additional reporting by Claudia Violante in Sao Paulo, editing by G Crosse)