) --

Greenlight Capital's

David Einhorn is putting his money where his mouth is, adding to his


(AAPL) - Get Report

stake as of the end of 2012.

Einhorn, who is

currently suing Apple

to try to prevent the company from changing its charter, now owns 1.3 million shares according to his latest

13F filing

, up from the

third quarter,

when he owned 1.09 million shares.

In addition to the 1.3 million share stake, Einhorn owns the right to purchase another 275,000 shares via call options.

Last week, Einhorn put out a letter asking shareholders to vote against Apple's proposal to do away with preferred stock, which he says restricts "the Board's ability to unlock the value on Apple's balance sheet." Apple


, saying that it would "thoroughly evaluate Greenlight Capital's current proposal to issue some form of preferred stock."

CEO Tim Cook called the lawsuit a

"silly sideshow"

at a

Goldman Sachs

conference earlier this week, as he discussed the prospect of returning cash to shareholders.

Mr. Einhorn also purchased shares of


(GOOG) - Get Report

during the quarter, initiating a stake of 63,000 shares in the Internet search giant. He added to his stakes in




Marvell Technology

(MRVL) - Get Report

as well during the quarter.

In contrast, Einhorn did very little selling. Positions in


(CBS) - Get Report


Babcock & Wilcox


were among the more notable names where stakes were decreased.

In the

third quarter

Einhorn cut his stake in Apple, along with other names, including


(MSFT) - Get Report


Seagate Technology

(STX) - Get Report


Shares of Apple closed Thursday slightly lower, off 0.09% to $466.59.

--Written by Chris Ciaccia in New York

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