Stocks roar back, posting third-best start to the month of October since 1930

Stocks rose sharply on Tuesday, lifting the S&P 500 index to its third-best start to an October since 1930, according to FactSet.

The benchmark index has rallied since hitting its lowest point of the year on Friday to close out a September slump. On Tuesday, the S&P 500 soared 3.1%, which followed Monday's 2.6% gain. 

Meanwhile, the Dow Jones Industrial Average soared more than 1,500 points in two days, including a 2.8% jump Tuesday. Other indices also gained, with the tech-heavy Nasdaq jumping 2.7%.