European stocks finished lower Monday, weighed as the euro continued to march up further into three-year highs, giving a key regional benchmark its third drop in four sessions. Investors were also watching for developments from the U.K., where construction and outsourcing heavyweight Carillion PLC has collapsed.

U.S. equities and bond markets are closed Monday for the Martin Luther King Jr. Day holiday.

Asian equities' best start to a year since 2006 continued Tuesday as most bourses in the region pushed higher. The yen declined amid concern Japanese authorities may want to limit gains that pushed the currency to a four-month high.