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The filing on Monday, showed that Elliott no longer owned any common stock in Twitter on June 30. It had owned 10 million shares at the end of the first quarter.
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Twitter's shares, which closed at $44.50 on Monday had climbed as high as $51.70 in April, when Musk was offering to spend $44 billion to acquire the company. Shares dropped when he tried to pull out of the deal in early July.
Elliott invested in Twitter in early 2020 and called for the ouster of Jack Dorsey, one of the company's co-founders and its CEO at the time.
The company and the hedge fund soon reached an agreement in which the hedge fund got a seat on Twitter's board and Dorsey was replaced in late 2021. Elliott exited the board last year.
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Some other prominent investors also cut their Twitter holdings.
Hedge fund D.E. Shaw & Company owned 932,716 shares at the end of the second quarter, after having selling 3.7 million shares.
Balyasny Asset Management sold 1.3 million shares to own 172,821 shares while SRS Investment Management sold 7 million shares to own 125,226 shares on June 30.
The so-called 13-F filings are closely watched for investment trends, even though the data is released with a delay and can be dated.
Some firms established new positions, with filings showing that Pentwater Capital and Segantii Capital Management made new bets to own 18 million and 7.3 million shares respectively. Citadel Advisors LLC added 3.3 million shares, and now owns 4 million shares.