US stocks jumped in a shortened holiday trading session on Tuesday with the Dow Jones Industrial Average gaining close to 400 points as of the 1 p.m. market close.

Stocks gained across the board, led by the tech-heavy Nasdaq index. Some of the biggest gainers were mega-cap tech stocks like Tesla, which was up by 6%. Broadcom, Netflix, and Amazon all ended the shortened trading day higher by about 2%.

Tuesday also marked the official start of the Santa Claus trading window, a historically bullish period for stocks spanning the last five trading days of the year and the first two trading days of the new year.

Historical data dating back to 1950 indicates the S&P 500 has posted an average return of 1.3% and is positive 79% of the time during the Santa Claus trading window.

The average gain during the Santa Claus trading window is even stronger, at 1.6%, when including stock returns going back to 1928, according to data from Bank of America.

Here's where US indexes stood at the 1 p.m. closing bell on Tuesday: