By Rogerio Jelmayer 

SÃO PAULO--Many big international investors have been selling shares in Brazil's state-run oil company Petróleo Brasileiro SA, or Petrobras, as the company faces the biggest crisis of its history amid corruption allegations.

Investors including Soros Fund Management LLC, which invests for billionaire investor George Soros and his family; BlackRock Fund Advisors; and Fidelity Management Research Co., cut their stakes in the Brazilian company in the fourth quarter, when the corruption scandal gained force.

"Big international investors prefer to stay away from Petrobras because the uncertainty surrounding the company is huge. So they've opted to take a conservative path until they see a clearer scenario for the company," said João Pedro Brugger, a portfolio manager at Leme Investimentos, based in Florianopolis. Mr. Brugger said his company owns shares in Petrobras as part of a portfolio matching Brazil's Ibovespa stocks index.

Soros slashed its stake in Petrobras by 60% to 2 million of the company's American depositary receipts at the end of the fourth quarter, versus the third quarter of 2014, according to a filing posted on the Securities and Exchange Commission's website.

BlackRock Fund Advisors, meanwhile, sold 8.28 million shares in the oil company last quarter, according to FactSet, leaving it with 89.2 million shares at the end of 2014.

Fidelity Management cut its stake by 690,100 shares to 5.9 million shares, according to FactSet.

The firms didn't respond to interview requests regarding their respective strategies.

Since early September, when damaging news reports about the scandal started to come more frequently, the company's ADRs lost nearly 70% of their value and its market capitalization shrank by nearly $80 billion.

Even with the sharp drop in the share price in the past few months, now isn't the time to go bargain hunting, according to analysts.

"No investors are looking at Petrobras for the medium and long term, even though the shares have fallen a lot. It's not a buying opportunity because the company still has a lot of doubts to clear up--they haven't even released an audited balance yet," said Alvaro Bandeira, a director at the Órama Investimentos fund brokerage in Rio de Janeiro.

Earlier this month, P etrobras named Aldemir Bendine--the former head of state-controlled lender Banco do Brasil--as its new boss after former Chief Executive Maria das Graças Silva Foster and five other top executives resigned amid the investigation into allegations of kickbacks and payments to company officials and politicians. None of the departing executives have been implicated in the alleged scandal.

Petrobras in January published its long-awaited third-quarter results, but the numbers were unaudited and the company failed to provide a figure for potential write-downs that might be generated by the probe.

The company, which twice postponed the release of its third-quarter results, said it is still working to assess the financial damage from the alleged corruption, and is also still evaluating alternatives to measure the potential size of any write-downs.

Meanwhile, the company said it would cut investment and sell assets because of the fall in oil prices and its huge debt.

Some investors have nevertheless adopted a neutral position and are keeping their stakes in Petrobras for the time being.

Longtime emerging markets investor Mark Mobius, the executive chairman of Templeton Emerging Markets Group, has said he remains committed to Latin America's largest economy despite its current struggles with slow growth and high inflation.

Templeton has about $1.6 billion invested in Brazil, and Mr. Mobius said recently at a news conference that although he was "surprised and blindsided" by the apparent extent of the alleged corruption at Petrobras, the fund will maintain its approximately $100 million investment in the company.

Write to Rogerio Jelmayer at rogerio.jelmayer@wsj.com

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