Existing and new home sales fell to a 6.1 million-unit rate in June after hitting a post-crisis peak of 6.3 million in March. New home sales managed a slight move up, but from a lower base. Realtors and builders have complained that tight inventories are the primary problem. Existing home prices, which make up the lion’s share of the market, reached a new record in June. The median price for an existing home was $263,800 in June, up 6.5% from one year ago. That is nearly quadruple the pace of overall inflation and almost triple the pace of growth in average hourly earnings.