Dow gains 400 points, tech stocks climb as investors digest latest batch of corporate earnings

Stocks rose on Tuesday morning as traders navigated one of the busiest weeks of corporate earnings season.

The Dow Jones Industrial Average gained 350 points, or 1%, while the S&P 500 and Nasdaq Composite rose 1.2% and 1.6%, respectively.

Stocks have been under pressure recently, with the S&P 500 falling for two straight weeks, but investors were adding risk assets on Tuesday. The small and mid-cap heavy Russell 2000 rose 1.7%.

"Both sentiment and positioning are now too bearish, in our view. While we slightly reduced our record equity allocation ..., we remain constructive on equities and think that a near-term rally is likely, particularly in small-cap and high-beta market segments," JPMorgan's Marko Kolanovic said in a note to clients.

Earnings reports boosted the market on Tuesday morning. Johnson & Johnson reported mixed quarterly results on Tuesday, with its earnings per share topping earnings expectations while revenue missed analyst estimates. The pharmaceutical company also lowered its earnings guidance for 2022. Its shares rose 2%, however, boosting the Dow.

Bank stocks also outperformed as rates moved higher and regional and mid-sized banks reported earnings. Citizens Financial, which beat first-quarter estimates on the top and bottom lines on Tuesday morning, jumped more than 7%. JPMorgan and Goldman Sachs each rose more than 1%.

Some heavy hitters in the tech and media industries also rose on Tuesday. Shares of Disney climbed 2.5%, while Netflix added about 2%. Microsoft and Alphabet each rose more than 1%.

The major indexes have been under pressure in recent weeks as the first-quarter earnings season heats up. With inflation and the Federal Reserve's next steps a key debate in markets, investors are watching for insight into how supply chains and consumer demand are performing for major companies.

"Profit margins are expected to remain elevated; however, inflation is expected to trim margins from the all-time highs seen in 2021. Only the energy and utility sectors are reflecting a year-to-date uptick in margin growth expectations," Keith Lerner, co-CIO of Truist Advisory Services, said in a note to clients.

On Tuesday, Hasbro shares added about 1% despite the toy company posting a weaker-than-expected profit for the previous quarter. Its revenue was in line with estimates. Travelers Companies was down 3% and Lockheed Martin shares lost about 1% after posting mixed results.

Netflix and IBM are scheduled to post their numbers after the bell Tuesday.

The energy market may have helped trader sentiment on Tuesday, with prices for oil and natural gas both declining.

Traders also kept an eye on the bond market, where the 10-year Treasury yield rose to 2.92%, its highest level since 2018. Expectations for Fed hikes have risen sharply in recent months, though the central bank has said it will be data dependent in deciding how it will hike rates throughout the year.

The concern about the Fed's next steps have caused high volatility in the bond market as well, which appears to have weighed on stocks in recent weeks.

St. Louis Fed president James Bullard told CNBC's Steve Liesman on Monday that "quite a bit has been priced in" in terms of Fed actions.

The moves come after a slightly down day for stocks on Monday. The Dow and Nasdaq Composite each dipped 0.1%, while the S&P 500 inched lower by 0.02%.

On the data front, housing starts and building permits in March came in above expectations, according to estimates from Dow Jones.

— CNBC's Tanaya Macheel contributed to this report.