US sharemarkets were firmer on Tuesday on the back of generally positive earnings results. In response to their latest results, shares in United Parcel Service rose 7.0% and shares in General Electric rose by 2.0%. But shares in Facebook fell by 3.9%. The Dow Jones index rose by 16 points or less than 0.1% to record highs. The S&P 500 index rose by 0.2% to record highs. And the Nasdaq index rose by 9 points or 0.1%.