Shares of Apple eased as much as 1.64 percent in pre-market U.S. trading Thursday, hours after the death of Chairman Steve Jobs.

Before the markets opened, indications were Apple would open around $378.25, down $2.10 from the Wednesday close.

Apple was the second-most valuable stock on U.S. markets Wednesday, only behind Exxon Mobil. Shares had risen about 31 percent this year. They fell slightly Aug. 25, the day after Jobs stepped down as Apple CEO to assume the new post of Chairman.

The Cupertino, Calif.-based technology colossus was valued at $351 billion Wednesday. After the close, Apple announced co-founder Jobs, 56, had died of cancer.