The Dow Jones industrial average rose 144.71, or 0.68 percent, to close at 21,528.99, with Apple leading advancers and Travelers lagging.
The S&P 500 gained 20.31 points, or 0.83 percent, to end at 2,453.46, with information technology leading eight sectors higher and energy underperforming.
The Nasdaq advanced 87.25 points, or 1.42 percent, to close at 6,239.01.
About nine stocks advanced for every five decliners at the New York Stock Exchange, with an exchange volume of 800.85 million and a composite volume of 3.240 billion at the close.
The CBOE Volatility Index (VIX), widely considered the best gauge of fear in the market, traded near 10.3.
On tap this week:
7:00 p.m. Chicago Fed President Charles Evans
8:30 a.m. Current account
8:30 a.m. Philadelphia Fed
3:00 p.m. Dallas Fed President Robert Kaplan
Earnings: Oracle, Winnebago, CarMax
10:00 a.m. Existing home sales