Stocks fell at the open on Tuesday on worries over a report Greece wants to renegotiate a financial aid package and on the prospect of rising interest rates.

The Dow Jones industrial average <.DJI> lost 34.32 points, or 0.31 percent, to 10,939.23. The Standard & Poor's 500 Index <.SPX> fell 3.86 points, or 0.33 percent, to 1,183.58. The Nasdaq Composite Index <.IXIC> dropped 10.23 points, or 0.42 percent, to 2,419.30.