NEW YORK — Technology companies and banks helped power stocks on Wall Street broadly higher Monday, extending the market’s gains of the past two weeks.

The rally came as investors found fresh reason for optimism as the U.S. and China continue negotiations aimed at resolving their costly trade war. China’s top negotiator said over the weekend that “substantial progress” was being made in its talks with the U.S. Tensions over trade between Washington and Beijing have cooled recently.

The latest gains nudged the S&P 500 above 3,000 points for the first time in a month. The benchmark index is now within 0.7% of its all-time high set on July 26 but could need a catalyst to set a record.

“This would be about the fourth time since July that we’re coming up against that all-time high again,” said Randy Frederick, vice president of trading & derivatives at Charles Schwab. “I have a hard time seeing us break through that if we don’t get some kind of a trade deal.”

The S&P 500 index rose 20.52 points, or 0.7%, to 3,006.72. The Dow Jones Industrial Average gained 57.44 points, or 0.2%, to 26,827.64. The index was weighed down by a sharp drop in Boeing shares.

The Nasdaq climbed 73.44 points, or 0.9%, to 8,162.99. The Russell 2000 index of smaller stocks did much better than other indices in another sign of investors’ confidence. The index picked up 14.66 points, or 1%, to 1,550.14.

As they wait for trade talk developments, investors have been shifting their focus to corporate earnings reports. Monday was a relatively quiet start to a week full of results from major companies.

Analysts came into this latest earnings season expecting profits to decline overall for companies in the S&P 500. But with about 15% of companies in the index reporting so far, results have been surprisingly positive.

“We remain cautious for the quarter but believe that companies will continue to chin the low bar they have set and ultimately, we will end the quarter flat or up low single digits,” said Katie Nixon, chief investment officer for Northern Trust Wealth Management, in a note to investors.

Earnings growth fell slightly in the first and second quarters, according to data from FactSet, which was better than Wall Street’s expectation at the start of those reporting seasons.

Chipmakers, many of which are highly reliant on China for business, made some of the strongest gains Monday. Nvidia rose 2.9% and Micron Technology added 4%. Apple rose 1.7%

Banks benefited from a solid rise in bond yields. Citigroup gained 3%.

The yield on the 10-year Treasury rose to 1.80% from 1.75% late Friday. Higher yields allow banks to charge more lucrative interest on mortgages and other loans. Higher yields are also a sign that investors are more confident.

The materials and health care sectors were the only laggards.

Halliburton jumped 6.4% after the oilfield services company said it will cut costs in its North American operations amid a decline in customer spending.

Benchmark crude oil fell 47 cents to settle at $53.31 a barrel. Brent crude oil, the international standard, dropped 46 cents to close at $58.96 a barrel. Wholesale gasoline slid 2 cents to $1.61 per gallon.