RIO DE JANEIRO--Shares of Brazilian state-run oil company Petroleo Brasileiro SA fell to an eight-year low Monday as investor frustration with falling oil output, heavy spending and government meddling reached a boiling point.

Petrobras shares closed 5.8% lower at 13.85 Brazilian reais ($5.69), the lowest close since BRL13.62 on July 29, 2005. Petrobras has lost about a quarter of its value over the past 12 months. The company declined to comment on the downturn.

The stunning fall from grace for Petrobras, once one of the world's most-valuable companies after discovering billions of barrels of crude oil off Brazil's coast, has far outpaced declines seen among the firm's peers.

Shares of BG Group, which is a partner with Petrobras in several offshore Brazil fields, are down 8.7% over the past year on reduced growth forecasts. Royal Dutch Shell, also a Petrobras partner, is down 6.9%, with the firm saying it will sell assets to shore up its balance sheet. Chevron Corp. shares are also down 4.3% over the past year, while Exxon Mobil shares are up 0.5%.

Like Petrobras, other global oil companies are spending more and more cash to tap oil deposits that are increasingly hard to reach. But Petrobras is now caught in a volatile international drama that has exacerbated investor disappointment over government meddling and the firm's failure to deliver on its potential, investors and analysts said.

Brazil and Petrobras are both weathering a "perfect storm" brought on by poor policies, slowing economic growth in China and the end to global easy money as the U.S. Federal Reserve moves to reduce its stimulus measures, said Oliver Leyland, portfolio manager at Mirae Asset Global Investments in New York.

The government is struggling with anemic growth despite heavy spending that has led to a widening budget deficit. Government spending has also played an important role in high inflation, which has remained above the government's 4.5% target since 2009.

Brazil's effort to control inflation is also at the heart of one of the biggest concerns surrounding Petrobras: domestic fuel prices. The government, which is also Petrobras's controlling shareholder, hasn't allowed Petrobras to raise local gasoline and fuel prices to cover losses on expensive imports of the two fuels.

"Petrobras is poorly managed and has become a tool for social policies," said Rogerio Freitas, who manages $100 million at Rio-based Teorica Investimentos, of the cloud hanging over the company.

The outlook for fuel-price hikes remains gloomy because of the effect on inflation, analysts and economists said. President Dilma Rousseff is expected to seek re-election later this year and may be unwilling to grant higher gasoline and diesel prices after her administration failed to deliver on last year's promise to reduce inflation.

The disconnect between local and international fuel prices has added to worries about a steady decline in crude oil production despite one of the corporate world's largest investment plans at $237 billion through 2017. Petrobras has had to borrow huge sums of cash to finance its investments because of the lost revenue from fuel sales.

Petrobras installed nine platforms in 2013 and expects fresh output from the new units to add to production during 2014. But investors noted that output from the new fields, dubbed the presalt because the offshore oil was found trapped under a thick layer of salt miles beneath the sea, has just been enough to offset natural declines in mature fields that account for more than 85% of Brazil's crude output.

"Petrobras is pedaling quite hard to stand still, which is not a great scenario," said Mr. Leyland of Mirae.

Increased oil production would help Petrobras make up some of the losses from fuel imports, but significant increases in output from the presalt fields aren't expected until 2017 or later, investors said.

"What's most important today isn't an increase in production, but rather the questions surrounding fuel prices," said Erico Argolo, partner at Rio de Janeiro-based fund manager Bogari Capital. Despite few signs that higher fuel prices are in the making, Bogari is studying Petrobras shares for the firm's portfolio of about $250 million because they're starting to appear attractive, Mr. Argolo said.

But other investors see little room for Petrobras shares to rise under the current scenario, despite the firm's nearly 17 billion barrels of oil reserves.

"I need to see changes in the policies," said Mr. Freitas of Teorica Investimentos. "If the policies don't change, then maybe (the share) price at this level is the new normal for the company."

Write to Jeff Fick at jeff.fick@wsj.com

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