By Kyle Peterson, BridgeNews Chicago--Jan. 4 The dollar was mixed overnight with the euro/dollar recovering losses suffered in the wake of the surprise Federal Reserve rate cut Wednesday. Dollar/yen erased all losses on signs of political instability in Japan. The European Central Bank (ECB) left its key interest rates unchanged, as expected. Dollar/Swiss franc fell from a 6-day high of 1.6317 after rebounding from a near one-year low Wednesday. Sterling/dollar moved higher in the previous range, while dollar/Canadian dollar moved lower in its previous range. Although their focus remains on Friday's U.S. employment data, traders will appraise today the strength of the U.S. factory orders and December NAPM non-manufacturing data, both due for release at 1000 ET. New York Fed President William McDonough and San Francisco Fed President Robert Parry are scheduled to speak and market participants will be looking for clues on the Federal Reserve's next move on interest rates. The U.S. traders are likely to bid both euro/dollar and dollar yen/higher.