U.S. stocks finished mixed Tuesday. In world markets, European stocks ended lower, with the declines led by the DAX in Germany falling 1.3 percent. Asian markets also ended lower, with the declines led by the Nikkei in Japan falling 1.4 percent. In U.S. economic news, U.S. home prices fell in October for the third consecutive month, U.S. data analysis firm CoreLogic Inc. said. CoreLogic's home price index fell 1.3 percent in October from the previous month. Compared to October of last year, prices were down 3.9 percent, deeper than September's year-over-year decline of 3.8 percent. The U.S. dollar rose versus the euro but fell versus the yen. Light sweet crude oil for January delivery rose 21 cents to $101.20 a barrel on the New York Mercantile Exchange. Gold futures fell $2.70 to $1,731.80 an ounce. The Dow Jones industrial average rose 52.3, or 0.4 percent, to 12,150.13. The broader Standard & Poor's 500 index rose 1.39, or 0.1 percent, to 1,258.47. The technology-heavy Nasdaq composite index fell 6.20, or 0.2 percent, to 2,649.56.