Stock market today: Dow, S&P 500, Nasdaq trade mixed as earnings season kicks off

US stocks were mixed on Tuesday as crosscurrents from bank earnings, a chip sell-off, and volatile oil prices clouded the market outlook.The Dow Jones Industrial Average (^DJI) rose by 0.7%, led by a 5% gain in UnitedHealth (UNH), while the S&P 500 (^GSPC) fell by 0.1%. The Nasdaq Composite (^IXIC) declined by 0.4% as tech stocks continued to drag.South Korea's KOSPI (^KS11) index fell more than 5%, weighed down by declines in memory stocks Samsung (005930.KS) and SK Hynix (000660.KS), deepening a broader sell-off in the chip sector. The pullback came after Chinese memory maker CXMT (688825.SS) announced progress on a more efficient design. Adding to angst, Broadcom CEO Hock Tan likened investors speculating on AI to "a casino" on Monday. "A lot of investors have no clue what they are investing in," the chipmaker's CEO said.Attention also turned toward big bank earnings, which mark the unofficial start of the third quarter earnings season. JPMorgan Chase (JPM) reported weaker-than-expected profits, while Goldman Sachs (GS) saw third quarter profits rise 29% from a year earlier. Oil prices fell on Tuesday after Brent crude (BZ=F) topped $105 per barrel and gasoline prices tied 2022 for the most days above $4 per gallon in a single year. Existing home sales are the primary data point to watch on Tuesday's economic calendar. But the main event will be inflation data later this week.