Daniel Loeb's Third Point LLC reported an 8.2% passive stake in embattled nutritional-supplement maker Herbalife Ltd. (HLF), a day before the company hosts an analyst and investor meeting to rebut allegations it is operating a pyramid scheme.

Shares of Herbalife jumped as high as $41.90 following word of Mr. Loeb's position and were briefly halted. The stock recently rose 2% Wednesday to $39.11.

The investment from Mr. Loeb's firm sets up a potential battle with fellow hedge-fund manager William Ackman, who last month lambasted Herbalife's business model and said he had bet more than $1 billion against Herbalife, sending the stock plummeting four days in late December.

The core of Mr. Ackman's argument is that Herbalife distributors earn more money from recruiting other distributors than by selling products to the end user. The business, he said, depends on its ability to pull in new recruits, because existing distributors drop out at high rates.

Herbalife has called the allegation malicious, saying it is based on distorted information, and has accused Mr. Ackman of trying to manipulate its stock, a charge the hedge-fund manager denies. The company has promised a comprehensive response when it meets with investors Thursday.

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

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