About 15 minutes into trading, the Dow Jones Industrial Average had gained 1.4 per cent and stood at 24,537.98.
The broad-based S&P 500 was up 1.3 per cent to 2,654.15, and the tech-rich Nasdaq Composite Index also advanced 1.3 per cent to 6,965.55.
The early gains were a continuation of the positive momentum that closed Friday's trading after a topsy-turvy session that saw the Dow swing more than 1,000 points.
Rising interest rates could then draw investors out of stocks and into bonds.
"The markets appear to remain skittish as Treasury yields are mixed on the heels of a recent jump and some key inflation data later this week is expected to headline a fully-loaded economic docket," said a note from Charles Schwab.
Key economic releases include new data on consumer price inflation and retail sales.
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