By Mia Lamar 
 

Hedge fund manager David Einhorn raised his stake in Apple Inc. (AAPL) in the fourth quarter, according to a regulatory filing released Thursday.

High-flying Apple shares stumbled last quarter, falling 20% amid concerns about the company's momentum and consumer demand for its devices. The stock is down another 12% so far this year, closing regular Thursday trade at $466.59, well off a September peak at $705.07.

Mr. Einhorn's Greenlight Capital, which has owned Apple shares since 2010, is currently in a high-profile battle with the technology giant over its proposal to eliminate preferred stock from the company charter. Apple, for its part, has called the battle "a silly sideshow."

Greenlight's stake in Apple was increased by about a fifth in the fourth quarter, to 1.3 million shares from 1.1 million shares. The filing also showed a position of 275,000 call options. Call options give shareholders the right to buy shares at a set price by a designated date.

Among other major investments, the firm showed a new stake in Google Inc. (GOOG), with 63,000 shares. The stake was valued at $44.6 million as of Dec. 31.

The firm showed no stake in previous holdings Humana Inc. (HUM) and WellPoint Inc. (WLP), among others. A short bet against Chipotle Mexican Grill Inc. (CMG) shares through 50,000 put options was unchanged from the previous quarter.

Greenlight's total U.S. stock investments were worth $6.38 billion at the end of the fourth quarter, up from $6 billion at the end of September. The firm, like others that control an investment portfolio of more than $100 million, is required to report its U.S. stock holdings to the U.S. Securities and Exchange Commission 45 days after the end of a given quarter.

Write to Mia Lamar at mia.lamar@dowjones.com

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