US stock indexes have jumped as a recovery in oil prices lifted battered energy stocks and a slew of countries eased coronavirus-induced restrictions in an attempt to revive their economies.

Some hard-hit countries, including Italy, as well as a handful of US states are tentatively easing stay-at-home orders this week, raising hopes for a recovery in oil demand.

All the major S&P 500 sub-indexes were trading higher, led by a 3.6 per cent advance in the energy sector, but the index is still the top loser across sectors with a 35 per cent decline this year.

Market-leading growth stocks such as Microsoft , Amazon and Apple rose for a second day on Tuesday, helping offset concerns about the latest US-China spat over the origin of the novel coronavirus.

The S&P 500 has climbed about 30 per cent from its March lows on the back of unprecedented stimulus measures and signs of a plateau in new COVID-19 cases in many parts of the world.

London Capital Group head of research Jasper Lawler said investors were looking ahead with some optimism.

“There’s a growing sense that the worst for the global economy is right now, while lockdowns are in place and coronavirus treatments are unproven,” he said.

“It follows that it only gets better from here as lockdowns ease and treatments are found.”

However, many market experts have warned the rally could be tested amid a risk of another wave of virus infections and with growing evidence of the damage to the economy and corporate America.

Data on Tuesday showed the domestic services sector recorded its first contraction in nearly 10-and-a-half years, while the Institute for Supply Management’s (ISM) non-manufacturing index showed a smaller-than-expected decline.

All eyes will now be on the Labor Department’s report of monthly nonfarm payrolls due on Friday.

“It’s all about the mood swings and hopes of the economies reopening. But the problem is this could change once we get to see some of the hard numbers, especially the employment report,” said Peter Cardillo, chief market economist at Spartan Capital Securities in New York.

With more than half of the S&P 500 companies reporting so far, first-quarter earnings are expected to have fallen 12.5 per cent, with analysts expecting an earnings recession by the second quarter, according to Refinitiv data.

At 10.12am local time on Tuesday the Dow Jones Industrial Average was up 317.97 points, or 1.34 per cent, at 24,067.73, the S&P 500 was up 41.19 points, or 1.45 per cent, at 2883.93 and the Nasdaq Composite was up 147.46 points, or 1.69 per cent, at 8858.18.

Apple supplier Skyworks Solutions gained 8.1 per cent after reporting upbeat quarterly results, but warned of a hit from the pandemic in the current quarter.

Pfizer rose about 2.3 per cent after announcing that a venture with its German partner had started delivering doses of its experimental coronavirus vaccines for human testing in the US.

Advancing issues outnumbered decliners more than 5-to-1 on the NYSE and 4-to-1 on Nasdaq.

The S&P index recorded five new 52-week highs and no new low, while the Nasdaq recorded 36 new highs and two new lows.

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