Sales of existing homes rose in April and remain higher than a year ago, while home prices continued to climb during the month, according to a report released Tuesday by the National Association of Realtors. The uptick in sales and the higher home prices are the latest in a series of signals that the nation’s housing market might be inching toward recovery. But perhaps more encouraging than the numbers was the fact that the improvements ‘were broad based across all regions,’ the report stated…Total sales of existing homes increased 3.4 percent in April, to a seasonally adjusted annual rate of 4.6 million — 10 percent higher than a year ago. The total inventory of existing homes in the country rose in April to 2.5 million, a seasonal increase that represents about a six-month supply at the current sales rate. But the inventory of listed homes remains far lower than a year ago, when there was a nine-month supply.