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Stocks rallied on Monday to the cusp of their records.

The Standard & Poor’s 500 climbed 1.1% and pulled within 0.3% of its all-time high set this month. The Dow Jones Industrial Average jumped 515 points, or 1.1%, and the Nasdaq composite gained 1.4%.

Apple led the way and rose 3.9% amid optimism about demand for its latest iPhone design. It was the strongest force lifting the S&P 500 and set its own record high.

Cleveland-Cliffs jumped 21.5% after the steel company’s chief executive, Lourenco Goncalves, said it would provide details soon about a potential deal with a major global steel producer that could mean bigger profits. He also said his company has potentially found signs of rare earths at sites in Michigan and Minnesota.

Such materials have grabbed the global spotlight after China recently put curbs on the export of its own rare earths, a move that President Trump characterized as hostile. Trump’s ensuing threat of higher tariffs triggered big swings for Wall Street, but the concerns eased a bit after he said such high tax rates on Chinese imports are unsustainable.

Another source of worry for Wall Street, from the banking industry, also appears to be easing. Stocks of smaller and midsize banks climbed Monday, recovering some of their losses after a couple raised alarm bells last week by warning about potentially bad loans they’ve made.

Zions Bancorp. gained 4.7% Monday after its 5.1% drop last week, when it said it had found “apparent misrepresentations and contractual defaults” related to a couple of borrowers.

Amazon’s stock held up despite a widespread outage of its cloud computing service that caused disruption for internet users around the world Monday. Amazon’s stock rose 1.6%.

All told, the S&P 500 added 71.12 points to 6,735.13. The Dow Jones Industrial Average climbed 515.97 to 46,706.58, and the Nasdaq composite gained 310.57 to 22,990.54.

This week features a raft of big names reporting their latest quarterly results, including Coca-Cola on Tuesday, Tesla on Wednesday and Procter & Gamble on Friday.

The pressure is on companies broadly to show that their profits are growing after a torrid run of 35% for the S&P 500 from a low in April. Delivering bigger profits is one of the easiest ways for companies to quiet criticism that stock prices have gone too high. The other is for stock prices to fall.

Corporate profit reports have also taken on more importance because they offer windows into the strength of the U.S. economy when the federal government’s shutdown has delayed important economic updates.

That’s making the job of the Federal Reserve more difficult, as it tries to decide whether high inflation or the slowing job market is the bigger issue for the economy. Fed officials have indicated they’re likely to cut rates several more times in order to give the economy a boost. But that could be a mistake if inflation worsens, because low interest rates can push it even higher.

On Friday, the U.S. government will issue an update for inflation during September. The report was supposed to arrive earlier in month, and the Social Security Administration needs the numbers to calculate cost-of-living adjustments for beneficiaries. But the government also said, “No other releases will be rescheduled or produced until the resumption of regular government services.”

In the bond market, Treasury yields held relatively steady. The yield on the 10-year Treasury eased to 3.98% from 4.02% late Friday.

In stock markets abroad, indexes rose across much of Europe and Asia.

Japan’s Nikkei 225 jumped 3.4%, after its governing Liberal Democrats found a new coalition partner, securing support for its leader Sanae Takaichi to become the country’s prime minister. Investors expect Takaichi, who would also be Japan’s first female prime minister, to push for low interest rates, higher government spending and other policies that could help the market.

Indexes rose 2.4% in Hong Kong and 0.6% in Shanghai after China reported its economy grew at a 4.8% annual pace in the last quarter, supported by relatively strong exports as companies increased shipments to markets other than the U.S.

Still, it was the slowest pace in a year. The world’s second-largest economy is still struggling to emerge from a prolonged downturn in its property market and to encourage consumers and businesses to spend more.

Choe writes for the Associated Press.