International stocks trading in New York were mixed on Tuesday. The BNY Mellon index of American depositary receipts rose 0.96% to 143.69. The European index increased 1.5%% to 140.62, the Asian index improved 0.57% to 144.07, the Latin American index fell nearly 2% to 265.69 and the emerging markets index edged down 0.06% to 283.38. Among the companies with shares that actively traded was ARM Holdings PLC (ARMH, ARM.LN).

ARM Holdings reported a sharp rise in third-quarter profit, but the British semiconductor designer's results disappointed investors expecting a more robust rebound in revenue linked to smartphone sales. The Cambridge, England-based company reported healthy demand for high-tech chips for mobile phones and a pickup in chips for so-called smart objects. But ARM, which designs technology found in chips in more than 95% of all smartphones, has had to weather an uncertain period for the sector. Shares fell 4.8% to $39.57.

Brazilian shares fell Tuesday after an opinion poll showed President Dilma Rousseff with a small lead over her challenger in the Oct. 26 presidential election. Brazilian markets have been reacting negatively to any good news for Ms. Rousseff because investors prefer her opponent's economic policy proposals. Shares of Petroleo Brasileiro SA (PBR, PETR3.BR, PETR4.BR) declined 5.7% to $13.20. After the close of trading, Moody's Investor's Service downgraded Petrobras by a notch, bringing the state-controlled oil company's credit ratings to two levels above junk territory. Moody's cited Petrobras's high debt levels and the outlook for falling oil prices and a weaker local currency.

Royal Dutch Shell PLC (RDSA, RDSA.LN) said Tuesday it has signed agreements to sell all of the Nigerian oil assets it put up for sale last year, the latest move by the Anglo-Dutch oil major to reduce its exposure to the West African nation. Violence and rampant oil theft in the Niger Delta have recently led foreign oil giants to sell their blocks to smaller players, many of them Nigerian. Shares rose 2.8% to $70.20.

Norway's Statoil ASA (STO, STL.OS) said Tuesday it had found between 30 million and 80 million barrels of oil in the North Sea, about 180 kilometers west of the city of Stavanger, and the discovery could potentially be tied in to the nearby Grane field to help extend its life. Shares rose 5% to $23.98.

Write to Tess Stynes at tess.stynes@wsj.com

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