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•The Dow Jones Industrial Average closed slightly lower on Friday as Wall Street concluded a roller-coaster week.

The 30-stock index ended the day down 76.42 points at 23,062.40. At its high of the day, it rose as much as 243.06 points; it fell as much as 155.26 points. The S&P 500 closed 0.1 percent lower at 2,485.74, led by losses in the energy sector, after rising as much as 1.26 percent. The Nasdaq Composite eked out a gain of 0.1 percent to end at 6,584.52, but closed well off its session high. Gains in Apple, Amazon and Netflix lifted the tech-heavy Nasdaq.

For the week, the major averages all rose at least 2.75 percent, notching their first weekly gain in four. Stocks are still, however, on track for their worst December performance since 1931. The S&P 500 was down 9.9 percent for the month while the Dow has lost 9.7 percent.

• The Dow Jones Industrial Average .DJI rose 265.06 points, or 1.15 percent, to 23,327.46, the S&P 500 .SPX gained 21.11 points, or 0.85 percent, to2,506.85 and the Nasdaq Composite .IXIC added 50.76 points, or 0.77 percent, to 6,635.28.

Wall Street advanced in low-volume trading on Monday as revelers gathered to ring in 2019, marking the end of the worst year for U.S. stocks since 2008, the height of the financial crisis.

On Monday, renewed hopes for a resolution to the U.S.-China trade dispute provided a glimmer of optimism for investors.

• U.S. President Donald Trump indicated on Twitter that progress had been made toward a potential settlement of trade tensions between the United States and China which have plagued stock markets for much of the year.

• European stocks closed higher on the final day of 2018 but marked the year as its worst in a decade.

The pan-European Stoxx 600 closed 0.38 percent higher. The FTSE 100 closed trading on the final day of the year, down 0.2 percent. The French CAC, meanwhile, closed more than 1 percent higher.

The German DAX is closed on Monday.

U.K.’s FTSE index is down more than 12 percent since the start of the year and has suffered its biggest one-year fall since the financial crisis in 2008 as investors digest uncertainty surrounding the country’s exit from the European Union.