Stocks are notching modest gains on Wall Street Monday as investors balance cautious optimism about the reopening of businesses shut down because of the coronavirus pandemic against worries that the civil unrest across the U.S. over police brutality could disrupt the economic recovery and widen the outbreak.

The S&P 500 was up 0.5% after wavering between small gains and losses in the early going. Banks, companies that depend on consumer spending and communications companies accounted for a big slice of the gains. Health care was the only sector to fall. Bond yields were mostly higher. Oil pric...