At 11:08 a.m. ET (1608 GMT), the Dow Jones Industrial Average was up 194.76 points, or 0.76 percent, at 25,769.49 and the S&P 500 was up 13.89 points, or 0.50 percent, at 2,781.45.
USA stocks brushed aside their first wobble of the year and got back to setting records Thursday.
Target rose $1.65, or 2.5 percent, to $68.83.
In overseas stock markets, Japan's Nikkei 225 index fell 0.3 percent, South Korea's Kospi lost 0.4 percent and the Hang Seng in Hong Kong added 0.2 percent. The rise in rates moderated as the day progressed. Expectations are generally high, and analysts are forecasting growth of almost 11 percent for S&P 500 earnings per share, according to S&P Global Market Intelligence.
"We're not fully invested at this point, but we haven't switched to pure defense yet either", Villere said.
The yield on the 10-year Treasury note rose to 2.51 percent from 2.48 percent late Monday, which raises their appeal relative to dividend-paying stocks for investors seeking income.
"We're all anticipating rising rates, and have been for some time", Severinovsky said. Benchmark U.S. crude rose 23 cents to settle at $63.80 a barrel; earlier in the day, they climbed as high as $64.77. Brent crude, the worldwide standard, gained 6 cents to $69.26 per barrel.
The Russell 2000 index of smaller-company stocks gained 5.18, or 0.3 percent, to 1,591.97. They're at their highest level since the end of 2016. The Nasdaq composite fell 26 points, or 0.4 percent, to 7,135.
Trump says United States could stay in Paris deal
But he will have to wait until 2019 to formally notify the United Nations of a USA exit under the agreement's regulations. The Washington Post reports President Trump on Wednesday boasted about the sale of F-52 fighter jets to Norway.
The stock market has repeatedly shrugged off concerns through its placid ride to record highs.
The Nasdaq Composite was up 39.36 points, or 0.55 percent, at 7,251.14. Whether investors are anxious about a pickup in rates in the future or about how stocks have become more expensive than usual, any dip for the market over the past year has been shallow and short.
That's rewarded investors who have repeatedly "bought the dip" and seen every wobble in prices as a buying opportunity. Corporate profits are also on the upswing, and the recently passed tax cut should goose earnings even higher.
Later this week, companies will begin reporting their results for the last three months of 2017, and investors are waiting to hear what CEOs will say about the tax overhaul's effect on their bottom lines.
The S&P 500 is up 112.63 points, or 4.2 percent.
The dollar slipped to 111.09 yen from 111.35 yen. The euro rose to $1.1957 from $1.1933, and the British pound fell to $1.3519 from $1.3534.
Advanced Micro Devices (AMD.O) fell 1.61 percent after the chipmaker said its microprocessors are prone to both variants of the Spectre security flaw, days after saying its risk for one of them was "near zero".