By Ruth Bender and Sam Schechner 

PARIS-- Vivendi SA Friday accepted a bid from cable billionaire Patrick Drahi to buy its remaining stake in French telecom company SFR, completing another asset sale at the former conglomerate that has slimmed itself down into a smaller media company.

Vivendi's board agreed to sell the 20% it holds in France's second-largest telecom operator by subscribers, Numericable-SFR, to Mr. Drahi for EUR3.9 billion (about $4.36 billion), hardly three months after Vivendi sold control of SFR to the billionaire cable investor in a $23 billion deal.

The stake sale to Altice SA--the Luxembourg-based telecom holding controlled by Mr. Drahi--ends all existing agreements between the two groups. As part of the deal with Mr. Drahi, Vivendi last year agreed to keep a 20% holding in Numericable-SFR, the group Mr. Drahi formed by merging cable group Numericable with SFR.

"Vivendi has undergone a significant change," Arnaud de Puyfontaine, the company's chief executive, said on an earnings call.

The move comes as Vivendi reported it had more than tripled its fourth- quarter net profit to EUR1.99 billion, driven by capital gains from the completion of a flurry of asset sales, including that of African phone operator Maroc Telecom of SFR, and its stake in the Beats headphones company sold to Apple Inc.

Leaving out the impact of the sales, adjusted earnings before interest and taxes rose 37% on year to EUR234 million for the fourth quarter.

Sales at the company's remaining assets were essentially flat at EUR2.97 billion, as sales at the Universal Music Group slid, with growth in revenue from all-you-can-eat music services like Spotify dragged down by declines in sales of digital downloads and physical CDs.

For the coming year, the company said it anticipates flat revenue for 2015, but expects to increase its net profit by 10% because of lower restructuring and interest costs.

Vivendi has shrunk drastically over the past years, selling assets representing more than half of the group's revenue, including telecoms group SFR, videogame maker Activision Blizzard and Brazilian telecom group GVT.

By selling the rest of SFR--much earlier than initially expected--Vivendi is completing yet another exit from a business after having sold off assets representing more than half the company's revenues over the past two years in a bid to pay down debt and refashion itself as a media company.

Executives said they chose to make an early exit because they feared that low liquidity in the Numericable-SFR business would make it difficult to leave later. "We figured it was a good time to sell and to take the cash," Hervé Philippe, the company's chief financial officer, said in the call with analysts.

The stake sale will add another chunk to Vivendi's already large cash pile that has left analysts wondering what Vivendi will do with the money: acquisitions or more shareholder returns.

Vivendi said it ended 2014 with net cash of EUR4.6 billion compared with EUR11.1 billion in net debt a year earlier. The company added that it will plow EUR5.7 billion into dividends and share buybacks by mid-2017, slightly ahead of the EUR5 billion it had promised, but that leaves some room to maneuver.

"I know the question is how the group will use the rest of its proceeds, " said Mr. de Puyfontaine, adding that acquisitions were possible, but only under "strict financial discipline."

Chairman Vincent Bolloré has pledged to transform the once-diversified French conglomerate into a pure-play media company, knitting closer together the company's two remaining assets: French pay-TV operator Canal Plus and California-based Universal Music Group. But he has given little concrete indication what he plans to do to grow the group.

Mr. de Puyfontaine told analysts that it would take perhaps 18 months for the future strategy for the company, including making its units work more closely together. "The proof of the pudding is in the eating," he added.

Write to Ruth Bender at Ruth.Bender@wsj.com and Sam Schechner at sam.schechner@wsj.com

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