New York - Apple climbed 1.2% in early trading, and State Street gained 1%.
Elsewhere, some companies were making sharp moves after reporting their latest quarterly results.
Snap, the parent company of disappearing-message app Snapchat plunged 12.5% after reporting weak user growth and a wider loss than analysts were expecting.
The Standard & Poor's 500 index rose 2 points, or 0.1%, to 2,440. The index is coming off its biggest drop since mid-May.
The Dow Jones industrial average rose 25 points, or 0.1%, to 21,866. The Nasdaq rose 8 points, or 0.1%, to 6,224.