The economy's most vexing problem, unemployment, is showing the first signs of easing. And Wall Street is celebrating. Major stock indexes barreled higher by more than 1 percent Friday after the government said the U.S. unemployment rate unexpectedly fell in July for the first time in 15 months and that employers cut fewer jobs. Bond prices fell, driving yields higher as investors left the safety of Treasurys. The Labor Department report handed investors the best evidence yet that the economy could be climbing out of the recession. Analysts widely consider unemployment the biggest obstacle to a recovery in the economy, which is driven by consumer spending. The surprise figures injected new life in a monthlong rally and provided validation for traders who have been betting since March that the economy is healing. The Dow Jones industrial average rose 114 points to cap its fourth straight weekly gain. The Dow is at its highest level since early November. The government said employers shed 247,000 jobs in July, the fewest in a year. Economists had expected 320,000 lost jobs. The unemployment rate dropped to 9.4 percent from 9.5 percent in June, rather than rising to 9.6 percent as forecast.