Stocks pushed further into record territory Tuesday, and the Standard & Poor’s 500 index’s immaculate start to the year extended to a sixth day.

Health care stocks and banks led the way, as calm continues to reign over markets around the world. The strong gains overshadowed weakness for dividend-paying stocks and other areas of the market hurt by rising interest rates after 10-year Treasury yields hit their highest level since March.

On Tuesday:

The Standard & Poor’s 500 index rose 3.58 points, or 0.1 percent, to 2,751.29.

The Dow Jones industrial average rose 102.80 points, or 0.4 percent, to 25,385.80.

The Nasdaq composite gained 6.19 points, or 0.1 percent, to 7,163.58.

The Russell 2000 index of smaller-company stocks slipped 1.71, or 0.1 percent, to 1,560.10.

For the week:

The S&P 500 is up 8.14 points, or 0.3 percent.

The Dow is up 89.93 points, or 0.4 percent.

The Nasdaq is up 27.02 points, or 0.4 percent.

The Russell 2000 is up 0.09 points, or less than 0.1 percent.

For the year:

The S&P 500 is up 77.68 points, or 2.9 percent.

The Dow is up 666.58 points, or 2.7 percent.

The Nasdaq is up 260.19 points, or 3.8 percent.

The Russell 2000 is up 24.59 points, or 1.6 percent.

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